Abstract
Post-translational modifications (PTMs) regulate protein signaling, localization,
degradation, and cellular decision-making, yet the sequence determinants that distin-
guish modified from chemically eligible but unmodified residues remain difficult to de-
code at proteome scale. Here, we examine whether adapting a general protein language
model to PTM-site prediction can reveal the biochemical logic underlying residue-level
modification. We fine-tune ESM2, a protein language model trained on tens of mil-
lions of evolutionarily diverse protein sequences, for phosphorylation, acetylation, and
ubiquitination-site prediction. To address the pronounced class imbalance inherent
in proteome-wide PTM annotation, we combine parameter-efficient fine-tuning with
focal-loss training. The resulting task-specialized models show that PTM recognition
depends on model capacity, annotation depth, and modification chemistry: phospho-
rylation benefits from larger models, whereas acetylation and ubiquitination peak at
intermediate scale. More importantly, the fine-tuned phosphorylation model exposes
three layers of biological organization: it recovers canonical kinase-recognition motifs
without kinase-label supervision, resolves pathway-level functional relationships among
1
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proteins from sequence-derived embeddings, and preserves evolutionary signatures of
homologous phosphorylation sites across 200 eukaryotic species. These results estab-
lish task-specialized protein language models as interpretable instruments for probing
PTM-site biochemistry, kinase specificity, functional organization, and evolutionary
conservation.
Introduction
Post-translational modifications (PTMs) are pivotal biochemical processes that regulate pro-
tein function and enable dynamic cellular responses to diverse physiological and environmen-
tal signals. By covalently attaching chemical groups such as phosphate, acetyl, or ubiquitin
to specific amino acid residues, PTMs expand the structural and functional diversity of pro-
teins far beyond the genomic blueprint. With over 400 distinct PTM types identified,1 these
modifications transform an estimated 20,000 protein-coding genes into a proteome exceeding
a million unique protein species.2 PTMs orchestrate critical biological processes, including
signal transduction, enzymatic regulation, protein localization, and degradation, thereby
serving as molecular switches that fine-tune cellular behavior.3–5 Their dysregulation is im-
plicated in numerous diseases, from cancer and neurodegenerative disorders to metabolic
syndromes, underscoring their significance in health and disease.6,7 Accurate prediction of
PTM sites is essential for decoding protein function, understanding disease mechanisms, and
developing precision therapeutics. Yet this prediction problem is biologically subtle: most
serine, threonine, tyrosine, and lysine residues are chemically eligible for modification, but
only a small subset are selected in vivo by the combined influence of local sequence context,
enzyme specificity, protein function, and evolutionary constraint.
The importance of PTMs lies in their ability to introduce functional versatility without
altering the genetic code. Phosphorylation regulates protein activity in pathways controlling
cell division and apoptosis;8 acetylation modulates chromatin structure and gene expres-
sion;9 and ubiquitination tags proteins for degradation, maintaining cellular homeostasis.10
2
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The combinatorial nature of PTMs, where multiple modifications coexist on a single protein,
further amplifies their regulatory complexity, resembling a molecular language in which se-
quence context, structural environment, and modification state jointly determine regulatory
meaning.11 This analogy is useful because PTM-site selection is also context dependent: the
same residue can be modified or ignored depending on its surrounding sequence, structural
environment, and regulatory role.12 Protein language models therefore offer a route to ask
whether the biochemical grammar of PTM recognition can be inferred directly from protein
sequence.
The foundation of computational PTM prediction rests upon curated databases that
aggregate experimentally verified modification sites from high-throughput mass spectrome-
try and literature mining. General-purpose repositories such as PhosphoSitePlus,13 Phos-
pho.ELM,14 PHOSIDA,15 and the Human Protein Reference Database16 provide curated
PTM annotations across model organisms, while Swiss-Prot/UniProtKB17 and RESID18
serve as authoritative cross-PTM knowledgebases. Modification-specific resources include
UbiProt19 and UbiNet 2.020 for ubiquitination, while integrated platforms such as SysPTM
2.0,21 iPTMnet,22 and the Eukaryotic Phosphorylation Site Database (EPSD)23—which
alone houses over 1.6 million phosphorylation sites across 68 species—consolidate multi-
PTM data with pathway and ontology annotations. Structure-resolved information is avail-
able through Phospho3D24 and PTM-SD,25 and the dbPTM resource,26 recently updated to
dbPTM 2025,27 remains among the most comprehensive integrated platforms. Collectively,
these databases form the training and validation backbone for downstream computational
prediction tools.
Computational prediction of PTM sites has progressed from motif- and profile-based
scoring to classical machine-learning classifiers and, more recently, deep neural networks that
learn modification-specific sequence features directly from data. Early methods used kinase
motifs, position-specific scoring, support vector machines, random forests, and physicochem-
ical encodings to capture the local sequence environments associated with phosphorylation,
3
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acetylation, ubiquitination, and related PTMs.28–36 Deep learning subsequently enabled con-
volutional, recurrent, and transformer-based models to learn longer-range sequence depen-
dencies and context-dependent PTM signatures, improving residue-level prediction across
multiple modification classes.37–42
Protein language models (PLMs) have further transformed the landscape by providing
contextual residue embeddings learned from millions of natural protein sequences. These
embeddings encode information about evolutionary conservation, structural constraints, do-
main organization, and functional context without requiring explicit supervision for each
property.43–45 Recent PTM predictors increasingly exploit this representational capacity by
combining PLM embeddings with task-specific classifier heads, multi-task learning, prompt
tuning, structural features, evolutionary profiles, motif-aware modules, or unified multi-
label formulations.46–52 These approaches have substantially improved PTM coverage and
proteome-scale applicability.
Despite this rapid progress, the current generation of PTM predictors leaves several ques-
tions open. First, the move toward broad-spectrum, multi-modal architectures has come
at the cost of a clear understanding of how the underlying protein language model itself
contributes to performance: when ESM2 is held fixed and combined with structural, evo-
lutionary, or motif-aware modules, it becomes difficult to attribute gains to the language
model versus to the additional modules. Second, although adapting large models for spe-
cific tasks while training only a small fraction of parameters is now well-established for
natural-language models, this kind of efficient adaptation has not been systematically char-
acterized for PTM prediction across model sizes—existing efforts largely use a single model
size.47 Third, proteome-wide PTM prediction is intrinsically imbalanced, with phosphoryla-
tion accounting for the bulk of curated annotations,53 and even within a single PTM type,
the proportion of modified residues is typically below 10% of all candidate sites—a severe
imbalance that standard training procedures handle poorly.54 Finally, most predictors are
evaluated narrowly on classification metrics, with little attention to whether the learned rep-
4
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resentations recover known biological patterns such as kinase consensus motifs, functional
pathway organization, or evolutionary conservation55—a question that becomes especially
important when the goal is not just prediction but mechanistic understanding.
Acetylation
Phosphorylation
Ubiquitination
ESM2-8M to 3B
parameter models
Finetuned
Acetylated model
Finetuned
Phosphorylated model
Finetuned
Ubiquitinated model
Dataset Base Model LoRA Finetuning
for predicting
PTM sites
Biological
Significance
Kinase Motifs
GO : Embedding
derived BP
Evolutionary
Conservation
Figure 1: A schematic overview illustrating the development of post-translational modification
(PTM)-specific predictive models. ESM2 models, ranging from 8M to 3B parameters, are LoRA-
fine-tuned on datasets corresponding to three major PTMs—acetylation, phosphorylation, and
ubiquitination. The resulting specialized models are used for accurate prediction of PTM sites.
Downstream analyses interrogate the learned representations for three biological readouts: kinase-
recognition motifs, pathway-level functional organization, and evolutionary conservation across eu-
karyotes.
Motivated by these gaps, we ask whether adapting a general protein language model to
PTM-site prediction can convert it into an interpretable biological instrument for probing
residue-level modification logic. We achieve this specialization through parameter-efficient
fine-tuning of ESM2 family of protein language models,44,56 ranging from 8 million to 3
billion parameters and adapting each variant to PTM site classification using Low-Rank
5
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Adaptation (LoRA).57 LoRA is an efficient adaptation strategy that updates only a small
fraction of model parameters and thereby makes adapting billion-parameter models practical
on a single GPU. The severe imbalance between modified and unmodified residues is handled
by a focal-loss training objective that gives the model stronger feedback on the rare positive
cases. Within this controlled setting, we make three contributions. First, we characterize
how predictive performance scales across phosphorylation, acetylation, and ubiquitination,
finding that the optimal model size depends on the PTM: phosphorylation continues to
improve through the 3B-parameter model, while acetylation and ubiquitination peak at
650M parameters and decline at the largest scale—a finding directly relevant to anyone
choosing a model size for new PTM tasks. Second, we show that the internal patterns of
attention learned by the adapted phosphorylation model recover canonical kinase consensus
motifs, with different parts of the model specializing in different kinase families—providing
direct mechanistic interpretability that is hard to achieve when the language model is held
fixed. Third, we validate the adapted representations along two independent biological
axes: similarity-based protein networks recover Gene Ontology functional organization that
complements(ratherthanreproduces)theexperimentallycuratedSTRINGinteractome, and
similarity at homologous phosphorylation sites correlates strongly with phylogenetic distance
across 200 eukaryotic species (Figure 1). Together, these analyses establish that an adapted
protein language model is valuable not only as a predictor but as an instrument whose
internal representations can be read out as testable biological hypotheses—a complementary
axis of value to the coverage-oriented predictors that currently define the field.
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Results
and Discussion
Task Specialization of Protein Language Models for Residue-Level
PTM Recognition
Each PTM targets a characteristic set of amino acid residues. Phosphorylation targets serine
(S), threonine (T), and tyrosine (Y), wherein kinases catalyze the addition of a phosphate
group to regulate protein activity and signaling. Acetylation predominantly modifies lysine
(K), most prominently in histone proteins, where acetyltransferases add acetyl groups to
alter chromatin accessibility and gene expression. Ubiquitination also occurs on lysine,
attaching ubiquitin to mark proteins for degradation or to alter their cellular localization.
Given a protein sequence, our task is therefore to ask, for every S, T, Y, or K residue,
whether it is modified or not. The biological challenge is that only a small fraction of these
candidate residues are actually modified under physiological conditions; the model must
learn to distinguish true modification sites from the much larger pool of chemically eligible
but unmodified residues based on the local sequence context surrounding each site.
We approach this problem using ESM2, a protein language model trained on tens of
millions of evolutionarily diverse protein sequences. During its pre-training, ESM2 learns to
predict amino acids that have been hidden from each sequence—a procedure that forces the
model to internalize the recurring patterns by which residues co-occur in nature. As a result,
themodel’sinternalrepresentationofeachresiduecapturesinformationaboutitsbiochemical
environment, including features related to secondary structure, residue co-evolution, and
functional domains, without the model having been explicitly taught any of these concepts.
The ESM2 family spans models from 8 million to 3 billion parameters (Figure 2 (a)), with
larger variants showing increasingly fine-grained awareness of protein structure—a property
that is useful for tasks such as PTM prediction, where the local biochemical environment is
often the decisive cue.
A pre-trained ESM2 model is, however, a general-purpose protein representation; it cap-
7
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ESM2-
35M
ESM2-
150M
ESM2-
650M
ESM2-
3B
ESM2-
8M
Transformer Models(a)
(b)
EPSD 2.0/dbPTM
PTM
Database
Extract
Primary Sequence
Filter
canonical
sequences
Phosphorylation
Acetylation/Ubiquitination
Sequence :
Labels : 10 0 0 0 0 0 1 1
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P... ...N Y G H L T D Q L R G D S S V R D P W T A Q P T Q G Y L T S A P R G P G S L G C P L
PTM
Residue
NON-PTM
ResidueA
B
FFNN with Focal Loss
for Binary Classification
Base Model
LoRA
ESM2
(8M-3B)
MADELASYHKLHGVYPT
Primary Sequence
Last Hidden layer
Sequence :
Labels : 10 0 0 0 0 0 1 1
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M... ...G K P L H K N Q S R G P K K C Q H A A K D Q R K Q M K S K T N H R A P MK L D C T L
Figure 2: Pipeline for PTM site prediction. (a) The ESM2 family of protein language models,
ranging from 8M to 3B parameters, serves as the starting point. (b) PTM datasets (EPSD 2.0 for
phosphorylation; dbPTM for acetylation and ubiquitination) are processed by extracting primary
sequences, filtering for canonical entries, and assigning per-residue labels (modified vs. unmodified)
for each candidate residue. Each sequence is passed through the ESM2 model, whose internal
representation of each residue is then used as input to a small feed-forward classifier that predicts
whether the residue is modified. The ESM2 backbone is fine-tuned using LoRA, which adds a small
number of trainable parameters to the model’s attention layers without altering the original weights.
A focal-loss training objective addresses the pronounced class imbalance arising from the rarity of
true modified residues among chemically eligible candidate sites.
tures broad sequence biology but does not by default emphasize the specific features—kinase-
binding motifs, local electrostatics, sorting signals—that distinguish a true modification site.
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Adapting the model to PTM prediction therefore requires further training on labeled ex-
amples. Doing so by retraining the entire 3-billion-parameter network is computationally
prohibitive, while training only a small classifier on frozen ESM2 features can fail to capture
the deeper sequence patterns specific to PTMs. We use a middle path: Low-Rank Adapta-
tion (LoRA), which inserts a small set of additional trainable parameters into the model’s
attention machinery while leaving the original weights untouched. This adjusts how the
model attends to neighboring residues without disturbing its general protein knowledge, and
reduces the training cost enough that even ESM2-3B can be adapted on a single GPU. A
small classifier on top of the adapted model then produces a per-residue prediction (Figure 2
(b)). We therefore treat fine-tuning as a process of task-specialization: the model retains its
broad protein-sequence knowledge but is redirected toward the residue-level biophysical fea-
tures that distinguish modified from unmodified candidate sites. This proteome-wide class
imbalance,where true modified residues constitute only a small minority of chemically eligi-
ble candidate sites is handled with focal loss, which gives greater weight to rare and difficult
positive examples during training. Architectural and hyperparameter details are given in
Methods.
Model Capacity, Annotation Depth, and PTM Chemistry Jointly
Shape Prediction Performance
The fine-tuned ESM2 models reveal a striking pattern: the benefit of fine-tuning depends
strongly on PTM chemistry and data depth. In particular, model size interacts differently
with each PTM, and increased capacity does not uniformly translate into improved perfor-
mance. We evaluate predictions using four standard metrics, each with a clear biological
interpretation. Recall measures what fraction of true modification sites the model success-
fully identifies—the higher the Recall, the fewer biologically real sites are missed. Precision
measures what fraction of the model’s predictions are correct, capturing the rate of false
positives that would mislead downstream experiments. F1-score is their harmonic mean.
9
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The Matthews Correlation Coefficient (MCC) is a single, balanced summary statistic that
performs well when modified residues are heavily outnumbered by unmodified ones, as is the
case here. We report each metric averaged across both modified and unmodified residues to
ensure that performance on the rare modified class is not masked by the much larger unmod-
ified class. As a baseline, we compare against PTMGPT2,46 the most directly comparable
transformer-based PTM predictor.
We first evaluated the performance of pre-trained baseline models on the phosphory-
lation site prediction task using the ESM2 models and compared them with PTMGPT2
model. As shown in Figure S1, all baseline ESM2 models (labelled asB-ESM2 in figure S1
) demonstrated poor predictive performance across all metrics. The ESM2 models achieved
F1-scores ranging from 0.39 to 0.49, with AUROC values between 0.44 and 0.54, barely
exceeding random chance. Precision and recall metrics were similarly underwhelming, with
precision hovering around 0.48-0.61 and recall between 0.44-0.55. Most concerning were
the MCC values, which ranged from -0.064 to 0.047, indicating minimal to no correlation
between predictions and true phosphorylation sites. Notably, scaling to larger model sizes
(650M and 3B parameters) did not yield substantial improvements, with the 650M model
actually showing the worst performance (MCC: -0.064, F1: 0.44, AUROC: 0.44). In contrast,
PTMGPT2 demonstrated markedly superior performance with an F1-score of 0.59, AUROC
of 0.61, precision of 0.61, and MCC of 0.18, substantially outperforming all baseline ESM2
variants. However, even this best-performing baseline model exhibited limited discriminative
power for phosphorylation site identification, with an MCC of only 0.182 suggesting weak
predictive capability. These results indicate that general-purpose protein language models,
despite being pre-trained on large-scale protein sequence data, lack the specific representa-
tions necessary for accurate phosphorylation site prediction. The poor zero-shot performance
across all baseline models, particularly the near-random AUROC scores for ESM2 variants
motivated our decision to fine-tune these models.
Fine-tuning the ESM2 variants on the phosphorylation dataset produced substantial
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improvements across all evaluation metrics and model sizes. Performance climbs from fine-
tuned ESM2-8M through ESM2-150M (referred asFT-ESM2), with progressive gains in Re-
call and MCC indicating better sensitivity to true sites, and ESM2-3B delivers the strongest
Results
overall (MCC 0.35, F1 0.66, highest AUROC; Figure 3 (a)). This is biologically rea-
sonable: phosphorylation is by far the best-annotated PTM, with millions of validated sites
across hundreds of kinase families, so larger models have enough labeled examples to learn
the diverse sequence contexts that different kinases recognize.
Acetylation tells a different story. Performance peaks at intermediate scale rather than
continuing to improve. The smallest model behaves conservatively, predicting few sites
but predicting them confidently (high Precision, lower Recall). Through ESM2-35M and
ESM2-150M, F1 improves modestly while Recall remains stable; the best balance between
sensitivity and specificity emerges at ESM2-650M (MCC 0.26). At ESM2-3B, all metrics
drop including AUROC, suggesting that the largest model has begun to overfit to the com-
paratively limited acetylation training set (Figure 3 (b)).
Ubiquitination follows a similar trajectory but with a sharper drop at the largest scale.
Performance improves through ESM2-150M, peaks at ESM2-650M (MCC 0.34, F1 0.66),
and then degrades substantially at ESM2-3B (Figure 3 (c)). As with acetylation, this likely
reflects the smaller and biologically narrower set of validated ubiquitination sites available for
training—ubiquitination is harder to capture by mass spectrometry than phosphorylation,
leading to less complete annotation databases.
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(a)
(b)
(c)
Phosphorylation
Acetylation
Ubiquitination
Figure 3: Comparison of the classification metrics for different fine-tuned ESM2 models (labelled
as FT-ESM2 )for (a) Phosphorylation, (b) Acetylation and (c) Ubiquitination. Also shown the
comparison with baseline model PTMGPT2 model.46
The PTMGPT2 baseline consistently underperforms across all three PTM types when
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compared with fine-tuned models, with notably lower Recall indicating limited sensitivity
to true modification sites and lower MCC reflecting weaker overall classification robustness
compared to the LoRA-fine-tuned ESM2 models.
More broadly, these results show that the relationship between model scale and PTM pre-
diction performance is task-dependent. Phosphorylation, with the largest and most diverse
training set, benefits monotonically from increased capacity. Acetylation and ubiquitina-
tion, in contrast, peak at ESM2-650M and degrade at 3B—a pattern most consistent with
overfitting in the larger model when labeled data are limited. Thus, model scaling in PTM
predictionisnotgovernedbycapacityalone, butbytheinterplaybetweenmodificationchem-
istry, annotation depth, and the diversity of biochemical recognition contexts represented in
the training data.
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Fine-tuned Attention Heads Recover Kinase-Specific Phosphoryla-
tion Motifs
A P M G Y EpSR T
M S R L D NpSK P
V G T A P HpSM R
Input Embedding
Positional Encoding
Multi-head Attention
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-10 -6 -2 +2 +6 +100
-10 -6 -2 +2 +6 +100
Probability to
Information
Bits = Log2
Fine tuned
ESM2 Model
Last layer attention heads
of the finetuned ESM2-3B model
Phosphorylation by MAPK
Motif : ********P*SP*********
Phosphorylation by CDK
Motif : ********P*SP*K*******
Motif : ********P*SP*********
Phosphorylation by GSK
Phosphorylation by PKA
Motif : *******RR*SL*********
Phosphorylation by PKC
Motif : *******RR*S*K********
Phosphorylation by PKG
Motif : *******RK*SLA********
(a)
(b)
-10 -1 0-5 +1 +10+5
Figure 4: Kinase consensus motifs recovered from internal attention patterns of the LoRA-fine-
tuned ESM2 model. (a) Schematic of the analysis: protein sequences containing phosphorylated
residues are passed through the fine-tuned model, and attention values from each phosphorylation
site to its surrounding residues (−10 to +10 positions) are extracted from the model’s final layer (40
attention heads). These values are aggregated across all annotated sites in the dataset to produce
position-specific amino acid preferences, which are then converted into information-content sequence
logos. (b) Sequence logos derived from these patterns reveal the canonical kinase consensus motifs
(e.g. MAPK, CDK, GSK, PKA, PKC, PKG) that the model has implicitly learned to associate with
phosphorylation, despite never having been told which kinase modifies which site.
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Having shown that fine-tuning improves phosphorylation prediction, we next ask whether
the adapted model has learned the biochemical rules of kinase recognition rather than
dataset-specific correlations. A predictor can achieve good metrics for the wrong reasons—
memorizing dataset artifacts, exploiting compositional biases, or over-relying on sequence
neighborhoods that happen to correlate with annotation. If the fine-tuned, task-specialized
phosphorylation model has internalized biologically meaningful determinants of phosphory-
lation, its attention patterns should recover kinase-recognition motifs without kinase-label
supervision. To distinguish biochemical learning from such shortcuts, we interrogated the
model’s attention patterns around annotated phosphorylation sites.
Phosphorylation is carried out by kinases, and each kinase family recognizes a charac-
teristic short sequence motif around the phosphorylated residue—for example, the proline-
directed sites preferred by MAPKs and CDKs, or the basic residues upstream of PKA and
PKC sites. These motifs were never given to the model during training; the labels indicate
only whether a site is phosphorylated. If the adapted model has internalized real biology, the
way it weights the residues surrounding a phosphorylation site—through the model’s internal
“attention” mechanism, which encodes how much each residue’s representation depends on
each other residue in the sequence—should reproduce these consensus motifs without any
supervision over kinase identity. We therefore aggregated these attention values from the
final layer of the adapted ESM2-3B model across all annotated phosphorylation sites, within
a±10-residue window, and converted the resulting positional preferences into information-
content sequence logos. The model has 40 such attention patterns running in parallel (the
“heads”), and each head can be inspected separately to see what it has learned to focus on
(Figure 4 (a); details in Methods).
Acrossthemajorkinasefamiliesknowntoleavedistinctsequencesignatures, theresulting
logos cleanly recover the canonical motifs (Figure 4 (b)). The CMGC family—which includes
CDKs,54 MAPKs,54 and GSKs58—is well known for proline-directed phosphorylation, and
the model recovers this through a single dedicated attention head that captures the canonical
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P*SP* motif (proline at−2 and +1) for both MAPK and GSK substrates, while a separate
head captures the CDK-specific extension P*SP*K. The AGC family—PKA,59 PKG,59 and
PKC60—is characterized by basic residues upstream of the phosphorylation site, and each
member is captured by a distinct head with a refined version of this pattern (RR*SL for
PKA, RK*SLA for PKG, RR*S*K for PKC). The CAMK family61 similarly relies on an
upstream basic residue, recovered as the R**S motif for both CAMKL and CAMK2.
Beyond these family-level patterns, individual kinases also receive dedicated representa-
tions: DMPK,62 MAPKAPK,63 and AKT each show characteristic basic motifs, and casein
kinase 2 (CK2) recovers its acidic SD*E pattern (Figure S2). The one notable exception
is casein kinase 1 (CK1), for which the model did not recover a clear consensus, consistent
with CK1’s known reliance on prior phosphorylation at −3 rather than a fixed primary-
sequence motif.
Two points are worth highlighting. The model recovers known kinase motifs without
ever being told which kinase modifies which site, and different parts of the model (different
heads) specialize in different kinase signatures, suggesting that the model learns a divided-up
representation of phosphorylation determinants rather than a single universal motif. To-
gether, these observations show that fine-tuning exposes kinase-specific biochemical speci-
ficity within the model: distinct attention heads recover distinct phosphorylation-recognition
motifs without kinase-label supervision. Although attention weights do not provide a com-
plete mechanistic explanation of model decisions, their recovery of known kinase consensus
motifs provides a biologically grounded readout of the sequence features emphasized by the
fine-tuned model.
Task-Specialized Embeddings Resolve Pathway-Level Functional Or-
ganization
The previous section showed that the adapted model captures kinase-specific motifs at the
residue level. We next asked whether task-specialization also reorganizes the protein-level
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embedding space in a biologically meaningful way. In particular, we therefore asked whether
the same fine-tuned representation also encodes higher-order functional organization: specif-
ically, whether proteins annotated to related biological processes occupy proximal regions of
the model-derived embedding space.
To test this, we represented each protein as a single embedding vector and constructed
a graph in which edges connect pairs of proteins with sufficiently similar embeddings. If
the fine-tuned representations encode biologically meaningful functional information, pro-
teins participating in the same biological process should be preferentially connected within
this graph. This analysis requires both functional annotations and a reference network for
comparison. For functional labels, we used the Gene Ontology (GO) Biological Process
namespace,64 a hierarchical vocabulary in which proteins are annotated according to the
biological processes in which they participate. As a reference network, we used the STRING
protein–protein interaction database,64 restricted to high-confidence interactions, which cap-
tures physical interactions as well as curated functional associations.
Our comparison rests on three metrics from the framework of Chagoyen and Pazos.64 For
a given GO term (e.g. “cell cycle”), we extract the subgraph induced by proteins annotated
to that term and compute: (i) the density (D), defined as the fraction of possible edges
among those proteins that are present; (ii) theclustering coefficient(CC), which quantifies
the extent to which neighbors of a protein are themselves connected, thereby measuring lo-
cal triangle-richness; and (iii) thesegregation ratio(Sr), which measures whether a protein’s
connections are preferentially concentrated within its annotated GO term relative to chance
expectation. Thus, density and clustering coefficient quantify local cohesiveness within a
functional category, whereas segregation ratio quantifies the specificity with which that cat-
egory is separated from the rest of the network.
To build the embedding-derived network, we represented each protein by averaging
the residue-level representations from the adapted ESM2 3B model into a single vector
per protein and connected pairs of proteins whose vectors exceeded a calibrated cosine-
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similarity threshold. The threshold was chosen so that the embedding-derived network and
the STRING network contained comparable numbers of edges over the same set of proteins.
This calibration controls for trivial differences in global connectivity and allows the com-
parison to focus on how each network organizes proteins with respect to biological function
(Figure 5 (a); details in Methods).
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go-basic.obo goa-human.gaf
Human Protein Annotations
Gene Ontology (GO) GO filtering and expansion
Filter : Experimental
evidence, exclude IEA and NOT
Expand : BP terms, is_a & part of
relationships
Leaf definition : ≥ 3 proteins
Extract Unique
Proteins
EPSD 2.0
PTM
Database
STRING
(confidence
score ≥ 700)
Reference
Graph
Nodes : Proteins
Edges : High confidence
interactions
Finetuned
ESM2-3B Model
Protein Embedding Generation
Residue level
embeddings
Average and
L2 Norm Embedding
vector
∑
Pairwise cosine
similarity comparison
Threshold calibration
Sample ≤3000 shared proteins
→ compute STRING subgraph density
→ select cosine similarity quantile
→ constrain to [0.5, 0.99]
Embedding
derived
network
(using proteins
shared with
STRING)
Embedding
derived
network
Reference
graph
GO term specific
subgraph
extraction
Extract Metrics
Aggregate leaf terms into BP categories
• Average D, CC, Sr
• Compare STRING vs embedding network
(a)
(b) (c)
Figure 5: Methodological workflow and comparative analysis of functional coherence. (a) Pro-
tein function annotations were taken from the Gene Ontology (go-basic.obo, goa_human.gaf),
restricted to terms supported by experimental evidence and to proteins present in EPSD 2.0. A
high-confidence STRING interaction network (score≥ 700) was constructed alongside a similarity
network built from the adapted ESM2 3B representations. The similarity threshold for the second
network was calibrated to match the STRING network’s edge density on the shared protein set, so
that the two networks are directly comparable. Functional coherence within each Gene Ontology
biological process category was quantified using three metrics: density (D), clustering coefficient
(CC), and segregation ratio (Sr). (b)–(c) Differences ( ∆) between the similarity network and
STRING for representative biological process categories. The trend toward∆Sr > 0 and ∆CC < 0
indicates that the similarity network is more functionally specific (proteins in the same category are
more selectively connected) but locally sparser (fewer triangles among them) than STRING.
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The two networks reveal distinct but complementary modes of biological organization
(Figure 5 (b)–(c)). Across nearly every biological process category, the network derived from
model representations shows substantially higher segregation than STRING, indicating that
proteins annotated to the same biological process are more selectively connected in the
fine-tuned embedding space. The largest gains are observed for transport- and localization-
related categories, includingestablishment of localizationand localization, with several-fold
increases. Broader categories such asimmune system processand cellular homeostasis also
show large gains (Table S1). These trends suggest that the model’s sequence representations
encode determinants of biological function such as signal peptides, transmembrane domains,
sorting motifs, conserved family signatures, and other sequence-level features that may define
functional categories without necessarily producing direct physical interactions.
The increase in functional segregation is accompanied by a systematic reduction in local
cohesiveness, with average decreases of roughly0.27 in clustering coefficient and0.21 in den-
sityacrosscategories. Thisbehaviorisconsistentwiththedifferentinformationcontentofthe
two networks. STRING integrates physical interactions, curated pathway memberships, and
experimental evidence, and therefore tends to form dense, triangle-rich modules correspond-
ing to protein complexes and pathway neighborhoods. In contrast, the embedding-derived
network connects proteins on the basis of similarity in the fine-tuned sequence representation
space. Such edges can reflect shared functional or evolutionary signatures, but they need
not correspond to direct interaction partners or closed local interaction neighborhoods. The
metabolic processcategory illustrates this distinction: STRING places metabolic proteins
in dense pathway-like modules, whereas the embedding-derived network links them more
sparsely while still preserving the overall functional grouping.
The cell cycle category provides an informative boundary case, as it is the only major
category in which the segregation ratio decreases in the embedding-derived network relative
to STRING. This result is consistent with the biological nature of cell-cycle regulation, which
depends heavily on transient assemblies, cyclin–CDK partnerships, checkpoint complexes,
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and context-dependent interaction states. Such organization is more directly captured by
experimental interaction networks than by primary-sequence-derived representations alone.
Thus, rather than indicating a general failure of the embedding-derived network, the cell-
cycle case delineates the boundary between functional similarity encoded in sequence and
cellular organization that depends on dynamic interaction architecture.
Taken together, the embedding-derived network captures a complementary axis of bi-
ological organization—one that emphasizes shared sequence, evolutionary, and functional
signatures over physical interaction architecture. Rather than reproducing curated interac-
tiondatabases, itprovidesanalternativerepresentationinwhichfunctionalgroupingsemerge
directly from the fine-tuned protein language model embedding space. Thus, the fine-tuned
representation does not simply reproduce curated interaction databases. Instead, it reveals a
sequence-encoded layer of pathway organization that is most apparent for processes shaped
by shared localization signals, family signatures, and regulatory sequence features.
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AdaptedRepresentationsPreserveEvolutionaryConstraintsonPhos-
phorylation Sites
Cicer arietinum
Pisum sativum
Phaseolus vulgaris
Arachis hypogaea
Manihot esculenta
Ricinus communis
Cucumis meloCucumis sativusArabidopsis thalianaArabidopsis lyrata subsp lyrataCapsella rubellaRaphanus sativusBrassica oleracea var oleraceaGossypium raimondiiSolanum tuberosumSolanum pennelliiNicotiana tabacumHelianthus annuusSetaria viridisPanicum virgatumMiscanthus sinensisZea maysOryza sativa Indica GroupTriticum aestivumMusa acuminata subsp malaccensisPhyscomitrium patensMarchantia polymorpha subsp ruderalisChlamydomonas reinhardtiiVolvox carteri f nagariensisPlasmodium yoelii yoeliiPlasmodium vivax Sal-1Plasmodium falciparum 3D7Theileria annulataBabesia microti strain RICryptosporidium hominisCryptosporidium parvum Iowa IIToxoplasma gondiiIchthyophthirius multifiliisTetrahymena thermophila SB210Paramecium tetraureliaStylonychia lemnaeThalassiosira pseudonanaTrypanosoma cruzi marinkelleiTrypanosoma brucei gambiense DAL972Leishmania donovaniLeishmania infantum
Naegleria gruberi
Dictyostelium discoideum
Entamoeba histolytica HM-1:IMSS
Acanthamoeba castellanii str Neff
Trichomonas vaginalis G3
Giardia lamblia ATCC 50803Emiliania huxleyi CCMP1516
Saccharomyces cerevisiae S288C
Saccharomyces kudriavzevii IFO 1802
Kluyveromyces marxianus DMKU3-1042
Kluyveromyces lactis NRRL Y-1140
[Candida] glabrata CBS 138
Candida albicans
Candida tropicalis MYA-3404Debaryomyces hansenii CBS767
[Candida] auris
Yarrowia lipolytica CLIB122
Neurospora crassa OR74APyricularia oryzae 70-15Fusarium graminearum PH-1
Blumeria graminis f sp tritici
Aspergillus niger CBS 51388
Aspergillus fumigatus Af293Aspergillus nidulans FGSC A4Schizosaccharomyces pombe 972h-
Ustilago maydis
Ustilago hordei
Malassezia globosa CBS 7966
Cryptococcus neoformans var neoformans JEC21
Cryptococcus gattii VGII Ram5Puccinia graminis f sp tritici
Nematostella vectensis
Aedes aegypti
Culex quinquefasciatus
Anopheles gambiaeAnopheles darlingiDrosophila melanogaster
Drosophila simulans
Drosophila yakuba
Lucilia cuprina
Ooceraea biroiHarpegnathos saltator
Apis melliferaBombus terrestris
Nasonia vitripennis
Bombyx moriBombyx mandarina
Manduca sextaHelicoverpa armigera
Papilio xuthus
Tribolium castaneum
Acyrthosiphon pisum
Rhodnius prolixus
Zootermopsis nevadensisDaphnia pulex
Daphnia magna
Limulus polyphemus
Ixodes scapularis
Caenorhabditis briggsae
Caenorhabditis elegans
Strongylocentrotus purpuratusPoecilia reticulata
Xiphophorus maculatusOryzias latipes
Maylandia zebra
Takifugu flavidus
Takifugu rubripes
Gasterosteus aculeatus aculeatus
Seriola dumerili
Cynoglossus semilaevis
Gadus morhua
Oncorhynchus mykiss
Salmo salar
Esox lucius
Danio rerio
Astyanax mexicanus
Lepisosteus oculatusLatimeria chalumnae
Xenopus laevis
Xenopus tropicalis
Corvus brachyrhynchosTaeniopygia guttata
Amazona aestiva
Dryobates pubescens
Aptenodytes forsteri
Egretta garzetta
Opisthocomus hoazin
Calypte anna
Columba liviaGallus gallus
Meleagris gallopavo
Numida meleagris
Callipepla squamata
Anas platyrhynchos platyrhynchos
Tinamus guttatus
Struthio camelus australis
Alligator sinensis
Alligator mississippiensis
Pelodiscus sinensis
Chelonia mydas
Anolis carolinensis
Python bivittatus
Ornithorhynchus anatinus
Vombatus ursinusMonodelphis domesticaLoxodonta africanaTrichechus manatus latirostrisTursiops truncatusLipotes vexilliferDelphinapterus leucasPhyseter catodonCapra hircusOvis ariesBos taurusSus scrofaUrsus maritimusAiluropoda melanoleucaOdobenus rosmarus divergensLeptonychotes weddelliiCanis lupus familiarisMustela putorius furoFelis catusMyotis lucifugusPteropus alectoEquus caballusErinaceus europaeusCricetulus griseusMesocricetus auratusRattus norvegicusMus musculusFukomys damarensisHeterocephalus glaberCavia porcellusDipodomys ordiiIctidomys tridecemlineatusOryctolagus cuniculusPropithecus coquereliOtolemur garnettiiCarlito syrichtaSaimiri boliviensis boliviensisCallithrix jacchusAotus nancymaaeMacaca fascicularisMacaca mulatta
Chlorocebus sabaeus
Cercocebus atys
Papio anubis
Mandrillus leucophaeus
Rhinopithecus bieti
Nomascus leucogenys
Pongo abelii
Pan paniscus
Pan troglodytes
Gorilla gorilla gorilla
Homo sapiens
Figure 6: The circular phylogenetic tree illustrates the broad evolutionary relationships and genetic
distances across a diverse range of eukaryotic species, with root at Homo Sapiens
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(a)
(b) Serine
Step 1 : Data curation and clustering Step 2 : Homology Search
Step 3 : Multiple Sequence Alignment (MSA) Step 4 : Evolutionary Conservation Analysis
FASTA CD-HIT
Canonical
Proteins
Clustering
EPSD2
1
2
3
FASTA
Human +
Homologs
S
S
M
S
K
S
T
R
T
T
T
P
Y
Y
Y
L
Y
Y
-------- --------
--------
--------
--------
--------
--------
--------
--------
--------
--------
--------
MAFFT
Aligned FASTA
Filter Hits
Best hit per organism
Max Bit score
Secondary E-value
BLASTP Searches
Pan troglodytes FASTA
FASTA
FASTA
Mus musculus
Zea mays
One FASTA from each
cluster of Homo Sapiens
1
2
3
S
S
M
S
K
S
T
R
T
T
T
P
Y
Y
Y
L
Y
Y
-------- --------
--------
--------
--------
--------
--------
--------
--------
--------
--------
--------
MSA Cosine
Similarity
Extract
embeddings
from
finetuned
model Human
Embedding
Eukaryote
Embeddingθ
Figure 7: Overview of the evolutionary analysis pipeline for phosphorylation site conservation
across eukaryotes. (a) Pipeline. Experimentally validated human phosphorylation sites from EPSD2
are filtered to canonical proteins and clustered with CD-HIT to remove redundancy. Representative
sequences from each cluster are used to identify homologs across the panel of eukaryotic species via
BLASTP, followed by selection of the best hit per organism and construction of multiple sequence
alignments with MAFFT. The fine-tuned model is used to produce its internal representation for
both the human residue and its homologous counterpart at each aligned phosphorylation site, and
the similarity between the two is quantified by the cosine of the angle between the two representation
vectors. (b) Average similarity at serine phosphorylation sites between human and homologs across
the panel of eukaryotic species, with bars colored by phylogenetic distance from human and ordered
along the eukaryotic tree.
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A natural concern about any deep learning model trained on a fixed dataset is whether it
has learned biology or whether it has merely memorized statistical patterns specific to the
training distribution. The previous two analyses have already shown that the fine-tuned
model recovers known kinase motifs and meaningful functional groupings. Here we apply a
third, independent test: does the model encode features that are conserved across evolution?
The logic of the test is straightforward. Phosphorylation is an ancient regulatory mech-
anism, and many phosphorylation sites are functionally conserved across distantly related
eukaryotes even when the surrounding sequence has diverged. If task-specialization has
captured the biophysical determinants of phosphorylation rather than memorizing human-
specific patterns, homologous phosphorylation sites should remain proximal in the fine-tuned
embedding space in a manner that decays with phylogenetic distance. If, on the other hand,
the model has merely memorized human-specific patterns, similarity should drop off sharply
as soon as we leave the training distribution, with no smooth dependence on phylogeny.
To test this, we assembled a panel of 200 eukaryotic species spanning 41 major taxo-
nomic groups—vertebrates, invertebrates, fungi, protists, and plants—representing over a
billion years of evolutionary divergence (Figure 6). For each human phosphorylation site
in a curated, non-redundant set, we identified the homologous residue in each organism
via BLASTP and multiple sequence alignment. We then extracted the fine-tuned model’s
internal representation (a numerical vector) for both the human residue and its organism
counterpart, and measured how similar the two vectors point in their high-dimensional space
(the cosine of the angle between them, with1 meaning identical and0 meaning unrelated).
We averaged these similarities at the organism level and asked whether the resulting score
correlates with phylogenetic distance from human (Figure 7, S3, S4; details in Methods).
This analysis reveals a strong, clean negative correlation between phylogenetic distance
and similarity for all three phosphorylatable residues: serine (r =−0.86), threonine (r =
−0.85), and tyrosine (r =−0.84). The consistency of these correlations across residue types
is itself meaningful—the same evolutionary signal is recovered regardless of which amino
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acid gets phosphorylated. As organisms diverge from humans, the model’s representations
of corresponding phosphorylation sites become smoothly less similar, mirroring the gradual
accumulation of sequence and structural changes at these regulatory positions. The fact that
the trend extends from closely related primates all the way to deeply divergent plant and
protist lineages—rather than collapsing to noise outside the training distribution—indicates
that the model has learned features of phosphorylation that predate the human lineage by
hundreds of millions of years. This provides an independent evolutionary validation that
the task-specialized representation captures conserved determinants of phosphorylation-site
recognition rather than merely human-specific or dataset-specific patterns.
Conclusion
We have shown that parameter-efficient fine-tuning can convert a general protein language
model into an interpretable instrument for PTM-site prediction and biological discovery. By
fine-tuning the ESM2 family from 8M to 3B parameters with LoRA and a focal-loss objective
that handles the rarity of true PTM sites, we obtain strong residue-level predictions for
phosphorylation, acetylation, and ubiquitination on a single GPU. More importantly, this
design provides a clean setting in which the contribution of the PLM backbone, model scale,
and PTM-specific data depth can be examined directly.
A central practical finding is that the optimal model size depends on the PTM. Phospho-
rylation, with the largest and most diverse training set, benefits all the way to ESM2-3B,
which gives the best metrics. Acetylation and ubiquitination peak at ESM2-650M and de-
cline at 3B, a pattern most consistent with the larger model overfitting when labeled data are
limited. The practical take-away is that backbone size should be matched to the PTM and
the amount of labeled data available rather than defaulting to the largest available model.
Beyond classification, three independent biological readouts show that the fine-tuned
phosphorylation model learns interpretable determinants of PTM-site recognition. Inside
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the model, fine-tuned attention patterns recover canonical kinase consensus motifs—proline-
directed for CMGC kinases, basic upstream for AGC and CAMK families, acidic for CK2—
without the model ever being told which kinase modifies which site. Networks built from
similarity between fine-tuned protein representations recover Gene Ontology Biological Pro-
cess organization with substantially higher functional coherence than the experimentally
curated STRING interactome, while remaining sparser locally; the one major exception—
cell cycle, dominated by transient assemblies that primary sequence does not encode—marks
a sensible boundary of what sequence-based representations can recover. Finally, similarity
between human and homologous phosphorylation sites correlates strongly and consistently
with phylogenetic distance (r≈−0.85) across 200 eukaryotic species, indicating that the
model has learned phosphorylation features conserved across more than a billion years of
evolutionary divergence.
More broadly, this study establishes fine-tuning as a route for transforming general pro-
tein language models into biological instruments. Once adapted to PTM-site recognition,
their embeddings and attention patterns can be interrogated to reveal kinase specificity,
pathway-level functional organization, and evolutionary conservation. Task-specialization
therefore provides a framework not only for residue-level PTM prediction, but for extracting
mechanistic hypotheses about protein regulatory biochemistry from sequence-trained mod-
els.
Methods
Dataset Curation and Handling Class Imbalance
The model is trained and evaluated on curated datasets for three major post-translational
modifications (PTMs): phosphorylation, acetylation, and ubiquitination. Phosphorylation
data were obtained from the Eukaryotic Phosphosite Database (EPSD 2.0),65 which provides
experimentally validated sites across 223 eukaryotic species. Acetylation and ubiquitination
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data were retrieved from dbPTM,27 a comprehensive repository of experimentally verified
PTM annotations.
Phosphorylation Dataset.The initial dataset comprised 362,707 proteins, which were
refined to 327,516 unique sequences after resolving duplicate groups and removing redundant
entries. A quality control step further excluded 48 invalid PTM annotations that did not cor-
respond to serine (S), threonine (T), or tyrosine (Y) residues. In total, 35,760,439 candidate
residues were identified, including approximately 19.1 million serines, 11.2 million threonines,
and 5.3 million tyrosines. Among these, 2,573,592 (7.2%) were experimentally validated
phosphorylation sites, while the remaining 33,186,847 (92.8%) were non-phosphorylated, re-
sulting in a negative-to-positive ratio of 12.9:1. This imbalance is particularly severe for
tyrosine residues (3.6% phosphorylated), compared to serine (9.3%) and threonine (5.4%).
The dataset was partitioned into training, validation, and test sets in an 80:10:10 ratio,
stratified by protein sequence to prevent data leakage. The training set contains 262,012
sequences (28,584,069 residues, 2,055,505 positives, 7.19%), while the validation and test
sets each contain 32,752 sequences with comparable residue distributions and positive rates
(7.22%). Residue-specific proportions are preserved across splits, ensuring consistent evalu-
ation.
Acetylation Dataset.The acetylation dataset consists of 35,572 protein sequences with
21,269,017 total residues, including 1,480,397 lysine (K) residues. Among these, 110,386
(7.5%) are acetylated, yielding a negative-to-positive ratio of 12.4:1. The data were split
into training (28,457 sequences), validation (3,557 sequences), and test (3,558 sequences)
sets using the same stratified 80:10:10 scheme. The class distribution remains consistent
across splits, with approximately 7–8% of lysines labeled as modified.
Ubiquitination Dataset.The ubiquitination dataset includes 30,874 protein sequences
comprising 17,481,793 residues and 1,084,833 lysine residues. Of these, 118,293 (10.9%) are
ubiquitinated, resulting in a comparatively less severe imbalance (8.2:1). The dataset is
similarly partitioned into training (24,699 sequences), validation (3,087 sequences), and test
27
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(3,088 sequences) sets, maintaining consistent class proportions across all splits.
Akeychallengeacrossalldatasetsisthepronouncedclassimbalanceinherentinproteome-
wide PTM prediction: true modified residues are rare relative to the much larger pool of
chemically eligible but unmodified candidate sites.66 Standard loss functions such as cross-
entropy tend to bias models toward the majority class, leading to poor sensitivity for rare
but biologically significant modification sites. To address this, we employ a weighted focal
loss function67 with focusing parameterγ = 2.0:
Lfocal =−αt(1−pt)γ log(pt), (1)
wherept denotes the predicted probability of the true class andαt is a class-specific weighting
factor. Class weights are set to 1 and 12.9 for negative and positive samples in phosphoryla-
tion, 1 and 12.4 for acetylation, and 1 and 8.2 for ubiquitination, reflecting their respective
imbalance ratios. Padding tokens and masked residues are excluded from loss computation
to ensure that only valid positions contribute to training.
Overall, the framework combines the evolutionary and structural representations cap-
tured by ESM244 with parameter-efficient fine-tuning via LoRA57 and imbalance-aware op-
timization through weighted focal loss. This design enables robust residue-level prediction
performance, maintaining both precision and sensitivity in large-scale, highly imbalanced
PTM datasets.
Model Architecture and Fine-Tuning Strategy
Pre-trained ESM2 models (8M, 35M, 150M, 650M, and 3B parameters) were used as back-
bone encoders for contextual residue-level embeddings and fine-tuned with LoRA. In this
parameter-efficient fine-tuning scheme, the original backbone weights remained frozen while
trainable low-rank updates were introduced into the transformer layers.
LoRA modules were inserted into the query, key, value, and output projection layers of
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each attention block.56 Each adapter consisted of a rank-r decomposition withr = 16 and
scaling factorα = 32. The original backbone weights were kept frozen, while LoRA parame-
ters and all bias terms were trainable. The per-residue classification head was implemented
as a feed-forward neural network (FFNN), with architecture dependent on the embedding
dimension of each ESM2 variant:
• ESM2-8M / 35M: 256→ 128→ 32→ 16→ 8→ 4→ 2
• ESM2-150M: 512→ 256→ 128→ 32→ 16→ 8→ 4→ 2
• ESM2-650M: 1024→ 512→ 256→ 128→ 32→ 16→ 8→ 4→ 2
• ESM2-3B: 2048→ 1024→ 512→ 256→ 128→ 32→ 16→ 8→ 4→ 2
Each layer consisted of a linear transformation followed by layer normalization68 and
Tanh activation. Linear weights were initialized using Xavier uniform initialization69 and
biases were initialized to zero. Protein sequences were preprocessed by replacing rare amino
acids (O, B, U, Z, J) with “X”. Tokenization was performed using the ESM2 tokenizer with a
maximum sequence length of 1024 tokens. To ensure alignment with special tokens, residue-
level labels were truncated to 1022 positions and padded with ignore indices (−100) at both
termini. A custom DataCollatorForTokenClassificationESM was used to maintain con-
sistency between input IDs, attention masks, and label tensors. To address class imbalance,
a weighted focal loss was used withγ = 2.0. Loss computation excluded padding and masked
positions (−100). Training was performed using mixed-precision (FP16) to improve com-
putational efficiency70 on NVIDIA A6000 GPUs. The AdamW optimizer71 was used with
a learning rate of 5× 10−5 and weight decay of 1.0. A batch size of 2 was used without
gradient accumulation. Models were trained for up to 10 epochs with early stopping72 based
on validation loss, using a minimum improvement threshold of 0.005 and patience of 5 eval-
uation steps. Evaluation was conducted every 1250 training steps. Metrics were computed
only on valid (non-padded) residue positions. Regularization was provided by the intrinsic
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dropout layers in ESM2 (dropout rate = 0.1)73 and layer normalization in the classifier. No
additional explicit regularization was applied. All models were implemented in PyTorch74
using the HuggingFace Transformers library.75 Custom components included the focal loss
function, data collator, and early stopping mechanism. All experiments were performed
with fixed random seeds for PyTorch, NumPy, and Python to ensure reproducibility. Model
performance was evaluated using Precision, Recall, F1-score, and Matthews Correlation Co-
efficient (MCC),76 computed from true positives (TP), true negatives (TN), false positives
(FP), and false negatives (FN):
Positive class metrics :
Precisionpos = TP
TP +FP (2)
Recallpos = TP
TP +FN (3)
F1pos = 2· Precisionpos·Recallpos
Precisionpos +Recallpos
= 2TP
2TP +FP +FN (4)
Negative class metrics :
Precisionneg = TN
TN +FN (5)
Recallneg = TN
TN +FP (6)
F1neg = 2· Precisionneg·Recallneg
Precisionneg +Recallneg
= 2TN
2TN +FN +FP (7)
Matthews Correlation Coefficient (MCC):
MCC = TP·TN−FP·FN√
(TP +FP )(TP +FN )(TN +FP )(TN +FN )
(8)
These metrics were computed for all models to quantitatively assess classification accu-
racy and enable fair comparison between the LoRA-fine-tuned ESM2 and PTMGPT2 model.
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Attention-based Motif Analysis
The optimal fine-tuned ESM2 model was used to extract attention weights by performing
forward passes with attention outputs for each protein sequence in the dataset. Sequences
were tokenized, and the full attention tensors were obtained in evaluation mode. From these,
only the final transformer layer was considered, comprising 40 attention heads. To character-
ize phosphorylation-associated sequence patterns, attention values were aggregated across all
annotated phosphorylation sites. For each attention head independently, a positional window
spanning -10 to +10 residues relative to each phosphorylation site was considered. For every
position within this window, attention scores from the phosphorylation site to surrounding
residues were accumulated conditioned on the amino acid identity, yielding a 21× 20 matrix
representing positional amino acid preferences across all sites. The aggregated attention
matrices were converted to probability distributions by row-wise normalization, where each
row sum was divided into individual elements to obtain relative frequencies of amino acids at
each position. Positions with zero total attention were assigned a uniform distribution (1/20
for each amino acid) as a fallback. The probability matrix was then transformed into an in-
formation content matrix using logomaker’s77 probability-to-information conversion, which
computes bits as log2(probability/background) where background frequencies were assumed
uniform (0.05 per amino acid). The information content matrices were visualized as sequence
logos78 with amino acid letters stacked proportionally to their information content at each
position, using a custom color scheme to distinguish the 20 amino acids.
Evolutionary analysis
For evolutionary analysis, human phosphorylation data were obtained from the EPSD2
database, including protein sequences and annotated phosphorylation sites. Only canon-
ical protein sequences were retained by excluding isoforms, resulting in a curated FASTA
dataset of human proteins. To reduce sequence redundancy and group homologous proteins,
clustering was performed using CD-HIT79 with a sequence identity threshold of 70%. This
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procedure yielded 20,933 clusters comprising a total of 48,570 sequences, of which 12,451
clusters (59.5%) were singletons. The resulting file was parsed to extract cluster-level statis-
tics, including clustersize, representativesequence, representativesequencelength, andmean
pairwise identity of non-representative members to the representative. A diversity score for
each cluster was defined as1−mean identity/100. To obtain a high-quality and diverse sub-
set suitable for downstream analysis, clusters were filtered based on the following criteria: (i)
cluster size≥ 3 to ensure sufficient intra-cluster representation, (ii) mean sequence identity
< 90% to retain sequence diversity, and (iii) representative sequence length between 100 and
1500 amino acids to exclude very short or excessively long proteins. After filtering, 1,369
clusters were retained. The selected clusters exhibited a median size of 4 sequences (mean
6.2, maximum 410) and an average diversity of 0.162. Cluster sizes were predominantly in
the range of 3-5 sequences, with a smaller number of larger clusters. For each selected cluster,
the representative sequence (as defined by CD-HIT) was extracted and used for subsequent
analysis, yielding a non-redundant and evolutionarily diverse set of protein sequences.
The representative sequences from the 1,369 selected clusters were used as queries for
large-scale homology search against a diverse set of eukaryotic proteomes. A concatenated
protein database comprising proteomes from 200 eukaryotic organisms was constructed by
merging individual FASTA files into a single reference file. From this concatenated dataset,
organism identifiers were parsed from FASTA headers and a non-redundant list of organisms
was generated.
A BLAST80 protein database was created from the concatenated proteome. To enable
scalable computation, the query FASTA file containing the 1,369 representative human se-
quences was split into individual single-sequence FASTA files, each corresponding to one
query protein. BLASTP searches were performed independently for each query sequence
against the concatenated database using an E-value cutoff of1× 10−5.81 For each query, all
potential hits were retrieved, and results were processed to identify the best match per or-
ganism. Specifically, for every organism in the dataset, hits were filtered based on organism
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annotation in the subject title field, and the optimal hit was selected based on the highest
bit score, with E-value used as a secondary criterion in the case of ties. This procedure
resulted in a per-query mapping of the best homologous sequence across all 200 eukaryotic
organisms.
To enable comparison of phosphorylation sites between human proteins and their ho-
mologs across 200 eukaryotic organisms, multiple sequence alignments were performed for
each set of homologous sequences using the MAFFT82 alignment program. For each repre-
sentativehumanprotein, acorrespondingFASTAfilecontainingthehomologsidentifiedfrom
BLASTP was used as input. This procedure resulted in a collection of multiple sequence
alignments for each human protein and its homologs, enabling positional correspondence
analysis of phosphorylation sites across species.
To quantify evolutionary conservation of phosphorylation-related features in the learned
representation space, residue-level embeddings were extracted from the fine-tuned model for
serine, threonine, and tyrosine residues in both human proteins and their aligned homolo-
gous sequences. For each human protein, embeddings corresponding to the aligned phos-
phorylation sites were identified using the multiple sequence alignments, ensuring positional
correspondence between the human sequence and each homolog.
For each aligned residue pair, similarity between the human and organism embeddings
was computed using cosine similarity. Given two embedding vectorsu and v, the similarity
was calculated as
similarity = u· v
∥u∥∥v∥,
where u· v denotes the dot product and∥·∥ represents the Euclidean norm. To ensure
numerical stability, cases where either vector had zero norm were assigned a similarity score
of zero.
For each human protein and corresponding organism, cosine similarity values were com-
puted across all aligned phosphorylation sites and stored. These values were then aggregated
at the organism level by pooling similarity scores across all proteins and computing the mean
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similarity for each organism. This resulted in a single representative similarity score per or-
ganism, reflecting the overall conservation of phosphorylation-related embedding features
relative to human proteins.
To relate embedding similarity with evolutionary divergence, phylogenetic distances for
each organism were obtained from an external dataset. Organism-wise average similarity
scores were matched with their corresponding phylogenetic distances and sorted in ascending
order of distance from human. The results were visualized using a bar plot, where each bar
represents an organism, the height corresponds to the average cosine similarity, and the color
encodes phylogenetic distance using a continuous colormap. This analysis enabled systematic
assessment of how embedding similarity varies as a function of evolutionary distance.
Construction of Quantitatively Comparable Embedding and Inter-
action Graphs
Gene Ontology (GO) data were obtained from thego-basic.obo ontology file,83,84 and hu-
man protein annotations were retrieved from thegoa_human.gaf dataset.85 Only biological
process (BP) annotations supported by experimental evidence were retained by excluding
entries with theIEA evidence code and those annotated with theNOT qualifier. Protein iden-
tifiers were restricted to the set of unique human UniProt accessions present in the EPSD
2.0 database. For each protein, direct GO annotations were expanded by traversing the GO
hierarchy using is_a and part_of relationships, thereby incorporating ancestral terms. A
mapping from GO terms to associated proteins was constructed, and leaf terms were de-
fined as those without annotated children within the filtered dataset. Only leaf GO terms
associated with at least three proteins were retained for subsequent analysis.
Protein-protein interaction data were obtained from STRING v12.0,86,87 retaining only
interactions with a confidence score of at least 700. STRING identifiers were mapped to
UniProt accessions using the provided alias file, and an undirected graph was constructed in
which nodes represent proteins and edges correspond to high-confidence interactions. This
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graph serves as a reference network reflecting experimentally supported functional relation-
ships.
Protein representations were derived from embeddings generated using the fine-tuned
ESM2-3B language model. For each protein, residue-level embeddings were averaged to pro-
duce a fixed-length vector, and all vectors were L2-normalized such that the cosine similarity
between two proteins corresponds to the dot product of their embeddings. To construct an
embedding-based similarity network, pairwise cosine similarities were computed and edges
were defined by thresholding these similarities. The similarity threshold was calibrated to
match the edge density of the STRING network as closely as possible, following principles
used in prior network comparison studies.64 Specifically, a random subset of up to 3,000 pro-
teins common to both datasets was sampled with a fixed random seed for reproducibility, and
the threshold was chosen as the cosine similarity quantile corresponding to the edge density
of the STRING subgraph on those proteins. The calibrated threshold was subsequently con-
strained to the interval[0.5, 0.99] to ensure numerical validity. The final embedding-derived
network was constructed using only proteins shared between the STRING and embedding
datasets.
To quantify functional coherence, GO term-specific subgraphs were extracted and ana-
lyzed using three graph-based metrics.88 The density (D) was defined as the ratio of observed
edges to the maximum possible number of edges within the induced subgraph. The cluster-
ing coefficient (CC) was computed as the average local clustering coefficient across nodes
within the induced subgraph of each GO term,89 considering only edges between proteins
annotated to that term. Nodes with degree one within the induced subgraph were assigned
a local clustering coefficient of one, as their single neighbor trivially satisfies the clustering
condition, while isolated nodes were assigned a value of zero. Functional segregation was
quantified using the segregation ratio (Sr), defined as
Sr =
⟨
kin
i /ki
⟩
n/N , (9)
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wherekin
i denotes the number of neighbors of nodei within the GO term subgraph,ki is its
total degree in the full graph,n is the size of the GO term, andN is the total number of
nodes. Proteins with zero degree in the full graph were excluded from the segregation ratio
computation.
Leaf GO terms were grouped into higher-level biological process categories based on the
GO hierarchy, and all three metrics were averaged across leaf terms within each category.
The number of leaf terms, average term size, and mean values ofSr, CC, and D were
reported for both the STRING network and the embedding-derived network, enabling a
direct and controlled comparison of their ability to capture biologically meaningful functional
organization.
Code and Data A vailability
The code for PTM site prediction models is publicly available athttps://github.com/
JMLab-tifrh/PTM_prediction. The repository includes pre-trained models for acetylation,
phosphorylation, and ubiquitination site prediction, along with Jupyter notebooks for run-
ning predictions on new protein sequences. The datasets used for model training and evalua-
tion were obtained from publicly available databases: EPSD 2.0https://epsd.biocuckoo.
cn/Download.php#1 and dbPTM https://biomics.lab.nycu.edu.tw/dbPTM/download.
php#dataset.
Supporting Information
The Supporting Information (SI) provides supplemental figures, supplemental table. Figure
S1 shows the comparison of base ESM2 models with PTMGPT2 model. Figure S2 shows the
Logo map for kinase specific motifs. Figure S3 and S4 shows the cosine similarity of threonine
and tyrosine phosphorylation across eukaryotic species. Table S1 shows the comparison of
STRING and ESM2 network derived metrics for different GO terms.
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Acknowledgement
We acknowledge support of the Department of Atomic Energy, Government of India, under
Project Identification No. RTI 4007. We sincerely acknowledge Tata Institute of Funda-
mental Research Hyderabad, India for providing the support of computing resources. JM
acknowledges the core research grant approved by the Department of Science and Technology
(DST) of India (CRG/2023/001426).
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