Abstract
The development of pharmaceutical drugs is a time-intensive and costly process, with
more than 90% of drug candidates failing during preclinical or clinical testing. A major
challenge lies in accurately predicting protein-ligand interactions, especially given that
traditional computational methods often rely on a single protein conformation, failing to
capture biologically relevant structural variability. To address this, we present an
AI/ML-based multi-modal framework based on Graph Convolutional Network (GCN)
that integrates both global and local protein descriptors to classify binding and
non-binding conformations more effectively. Global descriptors capture overarching
physico-chemical and structural properties of proteins, while local descriptors—such as
pharmacophores—provide site-specific information crucial for modeling ligand
interactions. Our GCN based approach demonstrates that integrating local and global
structural perspectives significantly improves predictive accuracy and robustness. By
enabling more reliable protein conformation classification, this work contributes toward
scalable, AI-driven drug discovery—an increasingly critical goal in response to global
health challenges.
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Introduction
1
Drug development is a critical research area for chemical scientists and pharmaceutical 2
companies; however, it continues to face significant challenges, including low success 3
rates, high costs, and lengthy development timelines [1]. Traditional drug discovery 4
approaches frequently fail due to inaccurate target selection, inadequate safety profiles, 5
limited therapeutic efficacy, and difficulties in identifying appropriate patient 6
populations [2]. A major contributor to unsuccessful target selection is off-target 7
binding, in which drug candidates unintentionally interact with proteins other than 8
their intended molecular targets. These off-target interactions can diminish drug 9
selectivity and potency and often lead to adverse side effects or toxicity, ultimately 10
contributing to late-stage clinical failures [3]. 11
In the rapidly evolving landscape of pharmaceutical research, computational 12
Methods
have become a cornerstone of drug discovery and development. 13
Computer-aided drug design (CADD) offers a cost-effective and time-efficient 14
complement to experimental approaches by enabling the prediction of drug behavior, 15
protein–ligand interactions, and pharmacokinetic properties prior to synthesis and 16
experimental validation. Techniques such as molecular modeling, structure–activity 17
relationship analysis, and virtual screening allow researchers to explore vast chemical 18
spaces and make informed decisions early in the drug development pipeline [4] - [7]. 19
Traditional computational drug discovery, however, often relies on docking ligands to 20
a single, static protein conformation, thereby neglecting biologically relevant receptor 21
flexibility and potentially overlooking effective drug candidates. To overcome this 22
limitation, ensemble-based docking strategies have been developed [8], which 23
incorporate multiple protein conformations generated through molecular dynamics (MD) 24
simulations. This approach better captures conformational variability and enables the 25
identification of hidden or transient binding sites that may not be observable in 26
single-structure docking. In ensemble-based workflows, multiple target protein 27
conformations are screened against pre-existing libraries of active compounds and 28
decoys to identify the strongest and most relevant protein–ligand interactions. Although 29
this approach more effectively captures biologically relevant and high-affinity 30
interactions, it is computationally expensive, particularly when multiple target proteins 31
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are considered. Moreover, only a small fraction of the sampled conformations—often 32
just a few hundred out of millions—exhibit statistically significant binding activity that 33
is essential for conformational selection, thereby substantially increasing the 34
computational challenge of identifying these rare but critical states and highlights the 35
need for advanced Big Data analytics, particularly artificial intelligence (AI) to 36
effectively process and interpret large-scale datasets. 37
The increasing availability of large-scale biochemical and structural data has driven 38
the widespread adoption of artificial intelligence (AI) and machine learning (ML) in 39
modern drug discovery, with the aim of improving efficiency, accuracy, and 40
cost-effectiveness across the development pipeline. AI/ML techniques have shown 41
significant promise in enhancing target specificity, mitigating toxicity risks, and 42
accelerating the progression of drug candidates through early discovery and pre-clinical 43
stages [9,10]. Ensemble-based docking approaches, which evaluate millions of 44
protein–ligand conformations generated through molecular dynamics simulations, 45
produce extremely large and highly imbalanced datasets. Since only a small fraction of 46
these conformations exhibit meaningful binding activity, efficiently identifying the most 47
relevant candidates remains both computationally intensive and analytically complex. 48
While high-performance computing (HPC) resources are essential to manage the scale of 49
these simulations, intelligent data-driven strategies are equally critical for prioritizing 50
biologically significant conformations. To reduce the substantial computational burden 51
typically associated with ensemble docking, this work introduces performance-oriented 52
AI/ML frameworks that integrate seamlessly with HPC environments and ensemble 53
docking outputs to support protein conformation selection and classification. By 54
directly addressing the challenges of extreme class imbalance and limited experimental 55
validation, these frameworks enable the efficient identification of rare, high-value 56
binding conformations. As a result, they significantly improve the accuracy, robustness, 57
and overall reliability of computational drug discovery pipelines.58
In this work, we introduce a multi-modal framework that integrates global and local 59
descriptors to improve the classification of protein conformations. Global descriptors 60
capture overall structural and physicochemical properties—such as mass, 61
hydrophobicity, and radius of gyration, while local descriptors, including 62
pharmacophores, provide site-specific information critical for identifying ligand-binding 63
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interactions. These complementary feature sets offer a more comprehensive view, 64
enhancing classification performance. Like global descriptor datasets, pharmacophore 65
data suffer from class imbalance, with only a limited number of conformations showing 66
strong binding activity. This imbalance can lead to biased models and poor67
generalization. To address this, we apply previously established data-driven68
augmentation techniques [11]- [13] to balance the dataset and improve model reliability. 69
To capture both spatial and statistical dependencies, we construct graph-based 70
representations for each descriptor type: a proximity matrix for pharmacophores (local 71
descriptors) and a Pearson correlation matrix for global descriptors. These graphs are 72
processed using a Graph Convolutional Network (GCN) trained with a contrastive loss 73
function, which improves feature discrimination by pulling together similar 74
conformations and separating dissimilar ones in the embedding space. The resulting 75
graph-level embeddings are then classified using traditional ML algorithms, and a 76
decision fusion strategy aggregates their outputs for improved performance. This 77
integrated approach combines structural insight with advanced graph learning to 78
provide a scalable, interpretable, and effective solution for protein conformation 79
classification, with potential to accelerate AI-driven drug discovery. 80
Materials and methods
81
0.1 Dataset Overview 82
Four proteins were selected to evaluate the effectiveness of our proposed model: 83
ADORA2A (Adenosine A2A Receptor), ADRB2 (Beta-2 Adrenergic Receptor), OPRD1 84
(Delta Opioid Receptor), and OPRK1 (Kappa Opioid Receptor). These targets were 85
previously studied and reported in our earlier work [11]– [13]. Each protein includes 86
experimentally validated conformations that either (a) bind to ligands (binding 87
conformations) or (b) do not bind to ligands (non-binding conformations), as previously 88
described in [8]. 89
To improve the classification of binding versus non-binding protein conformations,90
we employed both global and local structural descriptors, including pharmacophoric 91
features specific to ligand-binding sites. Global descriptors capture overall structural 92
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and physicochemical properties of a protein conformation and were described in our 93
prior work [11]– [13]. In contrast, local descriptors were derived from pharmacophore 94
features using the DB-PH4 module in MOE (Molecular Operating Environment). These 95
features were extracted within a 6.5 ˚A radius of the ligand-binding site using the 96
”unified scheme,” which includes hydrogen bond donors (Don), acceptors (Acc), cations 97
(Cat), anions (Ani), aromatic centers (Aro), and hydrophobic centers (Hyd). The 98
MD-derived conformational dataset containing these local descriptors has also been 99
documented and published in [14]. 100
Table 1 summarizes the number of binding and non-binding protein conformations, 101
the total number of conformations, the number of local and global descriptors, and the 102
class imbalance ratio for each target protein used in this study.103
T able 1.Dataset description
T
arget protein #
of binding
protein conformations
#
of non-binding
protein conformations
T
otal # of
protein conformations
#
of
local descriptors
#
of
global descriptors
Class-im
balance
ratio
ADORA2A
(adenosine
receptor A2A) 850 2,150 3,000 282 50 3:1
ADRB2
(
β2-adrenergic receptor) 154 2,411 2,565 542 51 16:1
OPRK1
(
κ-type opioid receptor) 137 2,862 2,999 697 50 21:1
OPRD1
(
δ-type opioid receptor) 72 2,932 3,004 329 51 41:1
0.2 Pearson Correlation Matrix 104
Our study’s global features—such as protein mass, volume, radius of gyration, 105
hydrophobic surface area, and mobility—are generic to all protein conformations and 106
lack explicit spatial dependency information for GCN input. To address this, we use the 107
Pearson correlation matrix to capture pairwise linear relationships between features, 108
revealing how changes in one relate to another. It measures the linear relationship 109
between two global descriptors. The correlation coefficient rab, ranging from -1 to 1, 110
quantifies the strength and direction of this relationship, showing how changes in one 111
feature predict changes in another. It is calculated as follows [15]: 112
rab =
P
i(ai − ¯a)(bi − ¯b)qP
i(ai −¯a)2(bi − ¯b)2
(1)
where ai and bi are individual feature values and ¯a, ¯b their respective means. A value of 113
+1 indicates a perfect positive linear relationship, -1 a perfect negative linear 114
relationship, and 0 no linear correlation. Values closer to ±1 indicate stronger linear 115
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relationships, while those near zero indicate weak or no correlation. 116
0.3 Gaussian Naive Bayes Classifier 117
The Gaussian Naive Bayes (GB) classifier is a probabilistic supervised learning method 118
based on Bayes’ theorem, assuming feature independence and Gaussian-distributed 119
continuous variables [16]. For each feature, GB estimates the mean (µ b) and variance 120
(σ2
b) per class b to compute the likelihood using: 121
P (a|b) = 1p
2πσ 2
b
exp
−(a−µ b)2
2σ2
b
(2)
Classification relies on the maximum a posteriori (MAP) estimate derived from 122
Bayes’ theorem: 123
P (b|a) = P (a|b)P (b)
P(a) (3)
WhereP(b) is the prior, P (a|b) is the likelihood, and P(b|a) is the posterior 124
probability of class b given data point a. The model predicts the class with the highest 125
posterior probability: 126
class = arg max
b
(P(a|b)P(b)) (4)
This lightweight and interpretable model is especially effective when the features are 127
conditionally independent and normally distributed [17]. 128
0.4 K-Nearest Neighbor 129
K-Nearest Neighbors (KNN) is a straightforward, non-parametric supervised learning 130
algorithm used for classification and regression. It predicts the label of a new data point 131
xby identifying its K closest neighbors using the Euclidean distance metric, 132
D(x, yi) =
p
(x−y i)2, and assigning x to the class with the majority among these 133
neighbors. Despite its simplicity, KNN faces limitations such as high memory usage and 134
sensitivity to imbalanced data [18], [19], [20]. 135
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0.5 Random Forest 136
Random Forest (RF) is a robust ensemble learning method used for classification and 137
regression. It constructs multiple decision trees during training, and for classification 138
tasks, the final class label is determined by majority voting across these trees, 139
improving accuracy [21]. 140
The training process begins by creating bootstrap samples—random subsets of the 141
training data selected with replacement—ensuring each tree is trained on a unique 142
dataset. At each node, a random subset of features is considered, and the best feature 143
from this subset is selected for splitting. This randomness introduces diversity among 144
trees, reducing overfitting and enhancing generalization [22]. 145
Trees are grown fully without pruning to capture complex data patterns. The best 146
splits are chosen by minimizing the Gini impurity G(M), defined as: 147
G(M) = 1 −
cX
i=1
(p2
i ) (5)
where G(M) is the Gini impurity of Node M, c is the total number of classes and pi 148
is the probability of selecting class i. 149
Each tree independently predicts the class of an input sample. For binary 150
classification, the final prediction is the class receiving the majority vote among all trees. 151
For example, if more trees predict Class 1 (binding) than Class 0 (non-binding), the 152
instance is assigned to Class 1. This ensemble approach reduces overfitting, improves 153
accuracy, and increases robustness against noise. 154
0.6 Support Vector Machine 155
Support Vector Machines (SVMs) are widely used for binary classification by finding 156
the optimal hyperplane that separates two classes in an n-dimensional feature space [23]. 157
The hyperplane maximizes the margin, defined as the distance between the hyperplane 158
and the closest points (support vectors) from each class, ensuring reliable class 159
separation. Given a labeled training set {(x1, y1), (x2, y2), . . . ,(xn, yn)}, where xn is a 160
feature vector and yn its class label, the optimal hyperplane satisfies [24]: 161
wxT + m = 0 (6)
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with w as the weight vector, x the feature vector, and m the bias. The classification 162
constraints are: 163
wxT
n +m >0,if yn = 1 (7)
wxT
n + m < 0, if yn = 0 (8)
Training adjusts w and m to maximize the margin 1 /∥w∥2, enhancing generalization. 164
For non-linearly separable data, SVM employs kernel functions to implicitly map 165
inputs to higher-dimensional spaces. The linear kernel computes the inner product: 166
K(xi, xj) = xi · xj (9)
and the decision function is: 167
q(x) = w · x + m =
nX
j=1
βjyj(xj · x) + m (10)
where βj are Lagrange multipliers [25]. The linear kernel works well when data is 168
linearly separable. 169
The Radial Basis Function (RBF) kernel extends SVM’s flexibility by using a 170
Gaussian function: 171
K(xi, xj) = exp(−α∥xi − xj∥2) (11)
q(x) =
nX
j=1
βjyj exp(−α∥xj − x∥2) + m (12)
where α controls the influence radius of each training point [26]. Low α (gamma) 172
yields smoother decision boundaries with risk of underfitting, while high α creates 173
tighter boundaries that may overfit noise. 174
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0.7 Graph Convolutional Neural Network175
Graphs are widely used in domains such as social analysis, bioinformatics, and computer 176
vision to capture structural relationships between data, providing richer insights than 177
analyzing individual data points. A Graph Convolutional Network (GCN) is a deep 178
learning model designed to process graph-structured data, which is inherently 179
non-Euclidean—examples include protein structures, molecules, and social networks. 180
GCNs learn node embeddings by iteratively aggregating information from neighboring 181
nodes, thereby capturing both node features and the overall graph structure [27]. 182
Formally, a graph G consists of nodes N and edges E representing connections 183
between node pairs [28]. In our study, nodes correspond to local or global descriptors, 184
while edges represent spatial distances between local descriptors or linear dependencies 185
expressed as correlation values between global descriptors. The two main components of 186
a GCN are the adjacency matrix A, which encodes graph topology, and the node feature 187
matrix X, which records node attributes. For our datasets, X contains encoded binary 188
vectors for local descriptors and numerical feature values for global descriptors. The 189
GCN aggregates information from neighboring nodes to make predictions. The 190
operation of a GCN layer is described as follows [29]: 191
• The first step is to add self-loops and normalize the adjacency matrix. Graphs 192
may or may not contain self-loops. Self-loops are included to ensure that each 193
node takes into account its own feature. Equation (13) shows the creation of 194
matrix ¯A by adding self-loops to the adjacency matrix A, where E represents the 195
identity matrix used to incorporate self-connections. 196
¯A = A + E (13)
197
¯Dii =
X
j
Aij (14)
Here, ¯D denotes the degree matrix, which can be computed as shown in Equation 198
(14). The normalized adjacency matrixU is then calculated using Equation (15). 199
U = ¯D− 1
2 ¯A ¯D− 1
2 (15)
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•The next step is node feature aggregation, where each node combines its own200
feature vector with those of its neighbors to obtain local context. This aggregation 201
process leverages the normalized adjacency matrix U and is expressed in Equation 202
(16): 203
¯H (k) =U ¯H (k−1) (16)
Here, ¯H (k−1) represents node features from the previous layer. This operation 204
successfully propagates and blends information across neighboring nodes, 205
guaranteeing that each node representation is enhanced by its local graph 206
structure. 207
• The following step is feature transformation, which involves the GCN applying a 208
learnable linear transformation on the aggregated node features. This technique is 209
similar to using a Dense (or Linear) layer in a classical neural network. It allows210
the model to modify, combine, and enhance the aggregated data to better fit the 211
task at hand. Equation (17) illustrates the computation of the transformed 212
feature matrix: 213
H (k) = ¯H (k)W (k) (17)
Here, W (k) is the learnable weight matrix that determines how the aggregated 214
features are transformed. 215
• Lastly, a non-linearity, such as ReLU, is applied element-by-element to the 216
transformed features, as indicated in Equation (18). This activation function 217
introduces nonlinearity to the model, allowing it to capture complicated patterns 218
and relationships in the same way that hidden layers in traditional neural 219
networks do. 220
H (k) = ReLU( ¯H (k)W (k)) (18)
The GCN model in this study consists of two graph convolutional layers followed by a 221
mean pooling layer, which aggregates node features by averaging them to produce a 222
fixed-size graph-level embedding that captures the overall structure and feature 223
distribution. 224
To enhance the embeddings’ discriminative power, the GCN is trained using a 225
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contrastive loss function that pulls embeddings of similar graphs closer while pushing 226
dissimilar ones apart. The loss is defined as follows: 227
Loss = 1
2 yD2 + 1
2(1−y ) (max(0, m− D))2 (19)
where D = ∥ei − ej∥2 is the Euclidean distance between embeddings ei and ej, and 228
y indicates pair similarity (y = 1 for similar pairs—both binding or non-binding—and 229
y = 0 for dissimilar pairs). The margin m sets the minimum distance for negative pairs. 230
The first term pulls positive pairs together, while the second pushes negative pairs apart 231
if closer than m. 232
0.8 Decision Fusion 233
In this study, we provide a decision fusion strategy that improves the detection of 234
binding and non-binding protein conformations while also enhancing the AI/ML 235
model’s capacity to distinguish between them. We propose a method that leverages the 236
predictive power of four machine learning techniques which operate on embeddings 237
produced by a unique dual Graph Convolution Network (GCN) model. This dual GCN 238
model consists of two separately trained GCN on a dataset that contains local spatial 239
and global linear relationship respectively, allowing it to capture a more complete 240
description of the data. 241
Let us define the prediction results obtained from the four machine learning 242
models—Gaussian Na¨ ıve Bayes (GB), K-Nearest Neighbor (KNN), Random Forest 243
(RF), and Support Vector Machine (SVM)—applied to GCN embeddings of local and 244
global descriptors as follows: LGB, LKN N, LRF and LSV M represent the predictions 245
obtained using embeddings of GCN model trained on local descriptors and GGB, 246
GKN N, GRF and GSV M represent the predictions obtained using embeddings of GCN 247
model trained on global descriptors. After obtaining the individual predictions from 248
each dataset, the cumulative prediction score is computed by summing all the 249
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predictions, as defined by the following equation (19). 250
T otalP rediction = LGB + LKN N + LRF
+ LSV M + GGB + GKN N
+ GRF + GSV M
(20)
where T otalP rediction is used to compute the final classification results. Conformations 251
with a cumulative score of at least 3 are allocated to Class ’1’, indicating binding 252
protein conformation, while those with a cumulative score of no more than 5 are 253
assigned to Class ’0’, indicating non-binding protein conformation. 254
0.9 Evaluation metrics 255
The confusion matrix and its derived metrics—such as accuracy, sensitivity, and 256
specificity—are widely used to evaluate the performance of machine learning classifiers. 257
For binary classification of binding vs. non-binding protein conformations, the confusion 258
matrix includes four outcomes [11]: 259
•True Positive (TP): Correctly predicted binding conformations (Class 1).260
•False Positive (FP): Non-binding conformations incorrectly predicted as binding. 261
• False Negative (FN): Binding conformations incorrectly predicted as non-binding. 262
•True Negative (TN): Correctly predicted non-binding conformations (Class 0). 263
The accuracy measures the overall proportion of correct predictions: 264
Accuracy = T P + T N
T P+T N+F P+F N (21)
Sensitivity quantifies the model’s ability to correctly identify binding conformations: 265
Sensitivity = T P
T P+F N (22)
Specificity quantifies the model’s ability to correctly identify non-binding266
conformations: 267
Specificity = T N
T N+F P (23)
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0.10 Enrichment Ratio 268
To validate the proposed AI/ML framework, true positive (TP) and false negative (FN) 269
predictions were used to compute the enrichment ratio. As outlined in our previous 270
work [11], a baseline enrichment ratio—representing the expected performance under 271
random selection—was calculated for comparison. This metric provides a benchmark to 272
assess how effectively the AI/ML framework improves prediction performance relative 273
to random selection of protein conformations. 274
Table 2 summarizes the maximum Base Enrichment ratios computed for each target 275
protein. 276
Protein Maximum Enrichment Ratio
ADORA2A ∼9
ADRB2 ∼5.4
OPRD1 ∼2
OPRK1 ∼5.5
T able 2.Maximum Base Enrichment ratios calculated for each target proteins.
0.11 Proposed Work 277
This study introduces a dual-GCN framework that integrates both local and global 278
features for protein conformation prediction. One GCN is trained on 279
pharmacophore-based local descriptors to capture spatial interactions at binding sites, 280
while the other learns from global descriptors to model broader structural patterns. 281
Each GCN is optimized using a contrastive loss to enhance the separation between 282
binding and non-binding conformations in the embedding space. The resulting 283
embeddings are then fed into four traditional machine learning classifiers, whose 284
outputs are combined through decision fusion to yield the final prediction. An 285
enrichment ratio framework is applied to validate binding conformations in test proteins. 286
This approach leverages the representational strength of GCNs and the predictive power 287
of classical models to improve protein conformation selection. An overview of the 288
Method
is shown in Fig 1. 289
• The summary of Framework 1, which handles the global descriptor data, is as 290
follows: 291
– It begins with the original dataset, which is then refined using the feature 292
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scoring method described earlier. 293
–The ML-based feature selection and scoring framework from our prior 294
work [12], [13], is used to identify the most significant protein characteristics. 295
Specifically, four methods are used: Analysis of Variance (ANOVA) [30], 296
Mutual Information (MI) [31], Recurrence Quantification Analysis 297
(RQA) [32], and Spearman Correlation [33]. Each method independently 298
ranks the features based on its criteria. These rankings are then integrated 299
using a majority voting strategy, where features that receive the highest 300
possible vote count of 4—indicating consensus across all methods—are 301
selected. The resulting subset of features is used to construct a new, 302
optimized dataset for further analysis. This framework, along with the 303
selected features for each target protein—ADORA2A, ADRB2, OPRD1, and 304
OPRK1—has been previously described and published in [12].305
–To address the high class imbalance observed in the proteins ADRB2, 306
OPRK1, and OPRD1, a multi-step data re-balancing approach was 307
implemented as detailed in [12]. First, the Extreme Gradient Boosting 308
(XGBoost) [34] classifier was applied to the feature-reduced dataset to 309
distinguish between non-binding (TN) and binding (TP) protein 310
conformations. Next, K-Means [35]- [37] clustering was performed on the 311
non-binding conformations to retain representative samples while eliminating 312
redundant data, thereby reducing dataset bias and size. Finally, Generative313
Adversarial Networks (GANs) were employed to augment the minority class 314
by generating additional binding conformation samples, achieving balanced 315
class representation without increasing the overall dataset size. For the 316
ADORA2A protein, this re-balancing step was omitted due to its low class 317
imbalance, which did not necessitate adjustment for the GCN model. 318
– In parallel with the re-balancing procedure, a Pearson correlation matrix was 319
constructed to capture pairwise linear relationships among the global 320
features. This analysis provides insight into how changes in one feature relate 321
to changes in another, enhancing understanding of feature interactions. 322
Following this, a graph dataset was prepared for input into the GCN model. 323
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Here, global features correspond to nodes, the Pearson correlation 324
coefficients serve as edge weights, and the numerical values of the features 325
are assigned as node attributes. 326
– The GCN model was then trained on this graph dataset using 10-fold 327
cross-validation to ensure reliable and generalizable performance. Early 328
stopping was incorporated to prevent overfitting by monitoring the validation 329
loss and halting training when no further improvement was observed. The 330
model with the best validation results was saved and used to generate the 331
final graph-level embeddings. 332
– These graph-level embeddings, derived from the optimized GCN model, were 333
subsequently fed into four traditional machine learning classifiers — 334
Gaussian Na¨ ıve Bayes (GB), K-Nearest Neighbor (KNN), Random Forest 335
(RF), and Support Vector Machine (SVM) — to assess and compare their 336
classification performances. 337
• The summary of Framework 2, which processes local descriptor (pharmacophore) 338
data, is as follows: 339
– The framework begins by applying the multi-step re-balancing technique 340
described in [12]. Unlike the global descriptor dataset, the original local 341
descriptor data is excluded from the feature scoring process due to its high 342
sparsity. Sparse data poses challenges for GCN training because limited and 343
uneven feature availability hampers the aggregation of meaningful patterns 344
across nodes. This issue is exacerbated by conformations containing only one 345
or two pharmacophores in close proximity. Removing such features based on 346
relevance risks losing critical local information necessary for capturing 347
conformation-specific interactions. Therefore, to preserve essential local 348
information, the original local descriptor dataset bypasses the feature scoring 349
framework. 350
–To address class imbalance, the previously described multi-step data 351
re-balancing method is applied. Initially, the feature-reduced dataset is 352
classified with XGBoost to distinguish binding (TP) from non-binding (TN) 353
conformations. K-Means clustering is then used on the TN samples to retain 354
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representative instances and reduce redundancy. Finally, GANs augment the 355
minority class by generating additional binding conformations, balancing the 356
classes without increasing overall dataset size. 357
– Next, a graph dataset is prepared for input to the GCN model, where local 358
features serve as nodes, and the distances between them define edge weights. 359
Each node is further characterized by attributes including an encoded binary 360
vector, radius, and frequency corresponding to the respective local feature. 361
– The graph dataset is processed using the GCN model with 10-fold 362
cross-validation and early stopping to ensure stable, reliable performance and 363
prevent overfitting. The model exhibiting the best validation performance is 364
selected to generate the final graph-level embeddings, which are then input365
into four machine learning classifiers for evaluation and classification 366
performance recording. 367
• GEFusion (Graph Embedding Fusion), a decision-level fusion strategy, is applied 368
to combine the classification results from Framework 1 and Framework 2. This 369
integration enables the unique identification of the total number of probable 370
binding and non-binding protein conformations. 371
• Finally, enrichment ratios are calculated using True Positives (TP)—correctly 372
predicted binding conformations—and False Negatives (FN)—incorrectly 373
predicted non-binding conformations—based on the outcomes of the GEFusion 374
decision strategy. 375
Fig 1. Bold the figure title. Figure caption text here, please use this space for the
figure panel descriptions instead of using subfigure commands. A: Lorem ipsum dolor
sit amet. B: Consectetur adipiscing elit.
Results
and Discussion 376
0.12 Computational Evaluation on ADORA2A Dataset 377
Table 3 presents the classification performance of the ADORA2A protein across varying 378
training sizes, evaluated using the proposed GEFusion methodology. Notably, the model 379
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achieves its highest performance—measured by accuracy, sensitivity, and 380
specificity—when trained on 40% of the dataset. The results for this training size, 381
including the performance of individual classifiers applied to both local and global 382
embeddings, are summarized in Table 4 383
T able 3. Classification performance (in %) across different training sizes for protein
ADORA2A
T raining Size Accuracy(%) Sensitivity(%) Specificity(%)
0.1 90.93 88.09 92.05
0.2 91.88 84.66 94.72
0.3 88.52 72.90 94.53
0.4 94.94 93.24 95.61
0.5 89.00 70.05 96.22
0.6 87.83 68.96 95.14
0.7 92.00 85.48 94.48
0.8 89.33 68.45 97.45
T able 4.Classification performance for 40% training size for protein ADORA2A
Approac
h TN FP FN TP Accuracy
(%) Sensitivit
y (%) Sp
ecificity (%)
KNN
(local embeddings) 303 994 69 434 40.94 86.28 23.36
GB
(local embeddings) 687 610 130 373 58.89 74.16 52.97
RF
(local embeddings) 0 1297 0 503 27.94 100.00 0.00
SVM
(local embeddings) 191 1106 22 481 37.33 95.63 14.73
KNN
(global embeddings) 1130 167 432 71 66.72 14.12 87.12
GB
(global embeddings) 850 447 278 225 59.72 44.73 65.54
RF
(global embeddings) 1297 0 503 0 72.06 0.00 100.00
SVM
(global embeddings) 1297 0 503 0 72.06 0.00 100.00
GEF
usion 1240 57 34 469 94.94 93.24 95.61
From Table 4, it is evident that while the overall framework delivers strong 384
classification performance, some individual models exhibited extreme predictive 385
behavior. For instance, the Random Forest (RF) model trained on local embeddings 386
classified all conformations as binding, whereas both RF and Support Vector Machine 387
(SVM) models trained on global embeddings predicted all conformations as non-binding. 388
These individual biases are effectively mitigated by the framework’s voting-based 389
ensemble mechanism, which combines predictions from multiple models. This ensemble 390
strategy reduces the impact of the outlier behavior of any single model, resulting in 391
more balanced and reliable classification results. 392
As shown in Table 5, our proposed methodology demonstrated strong performance 393
not only in overall model accuracy but also in achieving a high enrichment ratio.
T able 5. Enrichment ratios of protein ADORA2A on a training size of 40%
Approac
h Maxima Filter %
of Data Minima Filter %
of Data
GEF
usion 13.67 Filter
A 0.5% 13.07 Filter
A 1.0%
394
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0.13 Computational Evaluation on ADRB2 Dataset395
Table 6 presents the classification performance of the proposed approach across various 396
training sizes for the ADRB2 protein. Among these, the 40% training size yields the 397
best overall performance, achieving higher accuracy, sensitivity, and specificity. Detailed 398
Results
for this optimal training size—including the performance of the proposed399
framework and individual classifiers utilizing local and global embeddings—are provided 400
in Table 7. 401
T able 6.Classification performance (in %) across different training sizes for protein
ADRB2
T raining Size Accuracy(%) Sensitivity(%) Specificity(%)
0.1 84.11 64.08 85.42
0.2 88.35 65.63 89.86
0.3 88.47 64.29 90.08
0.4 92.14 80.61 92.92
0.5 93.06 42.68 96.50
0.6 90.55 56.06 92.92
0.7 86.49 66.00 87.92
0.8 93.37 8.82 99.37
T able 7.Classification performance for 40% training size for protein ADRB2
Approac
h TN FP FN TP Accuracy
(%) Sensitivit
y (%) Sp
ecificity (%)
KNN
(local embeddings) 634 807 49 49 44.38 50.00 44.00
GB
(local embeddings) 355 1086 22 76 28.01 77.55 24.64
RF
(local embeddings) 348 1093 22 76 27.55 77.55 24.15
SVM
(local embeddings) 260 1181 17 81 22.16 82.65 18.04
KNN
(global embeddings) 978 463 60 38 66.02 38.78 67.87
GB
(global embeddings) 1000 441 62 36 67.32 36.73 69.40
RF
(global embeddings) 1376 65 87 11 92.06 11.22 95.49
SVM
(global embeddings) 1372 69 92 6 89.54 6.12 95.21
GEF
usion 1339 102 19 79 92.14 80.61 92.92
Table 8 provides an overview of the derived enrichment ratios based on the decision 402
model’s prediction outcomes (TP and FN), serving as a validation measure for the 403
predictions generated by our proposed framework. 404
T able 8. Enrichment ratios of protein ADRB2 on a training size of 40%
Approac
h Maxima Filter %
of Data Minima Filter %
of Data
GEF
usion 33.71 Filter
A 0.5% 28.10 Filter
C 1.0%
0.14 Computational Evaluation on OPRD1 Dataset405
Table 9 presents the classification performance of the protein OPRD1 across various406
training sizes using our AI/ML-based multi-modal framework for protein conformation 407
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selection and prediction. The best overall performance—measured by accuracy,408
sensitivity, and specificity—is achieved with a training size of 10%. Table 10 further 409
details the classification results of the proposed framework and the individual 410
performance of classifiers utilizing local and global embeddings at this optimal training 411
size. 412
T able 9.Classification performance (in %) across different training sizes for protein
OPRD1
T raining Size Accuracy(%) Sensitivity(%) Specificity(%)
0.1 82.64 90.91 82.44
0.2 83.18 85.96 83.11
0.3 93.15 58.18 94.09
0.4 93.00 67.35 93.72
0.5 87.74 88.64 87.71
0.6 93.42 86.21 93.60
0.7 96.34 39.13 97.84
0.8 90.50 75.00 90.82
T able 10.Classification performance for 10% training size for protein OPRD1
Approac
h TN FP FN TP Accuracy
(%) Sensitivit
y (%) Sp
ecificity (%)
KNN
(local embeddings) 1749 887 20 46 66.43 69.70 66.35
GB
(local embeddings) 1783 853 26 40 67.47 60.61 67.64
RF
(local embeddings) 1598 1038 12 54 61.14 81.82 60.62
SVM
(local embeddings) 2087 549 33 33 78.46 50.00 79.17
KNN
(global embeddings) 1308 1328 18 48 50.19 72.73 49.62
GB
(global embeddings) 1225 1411 18 38 47.30 67.86 46.47
RF
(global embeddings) 1558 1078 23 43 59.25 65.15 59.10
SVM
(global embeddings) 1025 1611 11 55 39.97 83.33 38.88
GEF
usion 2173 463 6 60 82.64 90.91 82.44
T able 11.Enrichment ratios of protein OPRD1 on a training size of 10%
Approac
h Maxima Filter %
of Data Minima Filter %
of Data
GEF
usion 38.33 Filter
A 1.0% 32.38 Filter
B 0.5%
Table 11 presents the resulting enrichment ratios derived from the predictions made 413
by the GEFusion decision strategy, further supporting the validity and effectiveness of 414
the proposed framework. 415
0.15 Computational Evaluation on OPRK1 Dataset 416
Table 12 summarizes the classification performance across various training sizes for the 417
protein OPRK1 using the proposed AI/ML-based multimodal framework for protein 418
conformation selection and prediction. The highest overall performance—reflected by 419
improved accuracy, sensitivity, and specificity—was achieved with a training size of 30%. 420
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Table 13 presents the classification results at this training size, including the 421
performance of individual classifiers applied to both local and global embeddings. 422
T able 12. Classification performance (in %) across different training sizes for protein
OPRK1
T raining Size Accuracy(%) Sensitivity(%) Specificity(%)
0.1 83.33 64.00 84.27
0.2 86.04 62.07 87.25
0.3 73.08 81.19 72.67
0.4 77.88 79.31 77.80
0.5 84.66 70.27 85.40
0.6 92.17 53.33 94.21
0.7 78.67 73.47 78.97
0.8 84.17 72.73 84.60
T able 13.Classification performance for 30% training size for protein OPRK1
Approac
h TN FP FN TP Accuracy
(%) Sensitivit
y (%) Sp
ecificity (%)
KNN
(local embeddings) 1005 993 52 49 50.21 48.51 50.30
GB
(local embeddings) 1295 703 61 40 63.60 39.60 64.81
RF
(local embeddings) 0 1998 0 101 4.81 100.00 0.00
SVM
(local embeddings) 745 1253 29 72 38.92 71.29 37.29
KNN
(global embeddings) 1066 932 46 55 53.41 54.46 53.35
GB
(global embeddings) 1317 681 52 58 60.58 48.51 65.92
RF
(global embeddings) 1273 725 54 47 62.89 46.53 63.71
SVM
(global embeddings) 987 1011 38 63 50.02 62.38 49.40
GEF
usion 1452 546 19 82 73.08 81.19 72.67
As shown in Table 14, our proposed methodology demonstrated strong performance 423
not only in overall model accuracy but also in achieving a high enrichment ratio. 424
T able 14. Enrichment ratios of protein OPRK1 on a training size of 30%
Approac
h Maxima Filter %
of Data Minima Filter %
of Data
GEF
usion 32.91 Filter
D 5.0% 29.74 Filter
B 1.0%
From Tables 3, 6, 9, and 12, it is observed that the model consistently performs well 425
across all training sizes for protein ADORA2A. However, for proteins ADRB2, OPRK1, 426
and OPRD1, better overall performance is achieved with smaller training sizes. This 427
trend likely stems from higher class imbalance ratios in these datasets. At larger 428
training sizes, the increased proportion of synthetic binding conformation data, coupled 429
with inherent data sparsity, challenges the GCN model’s ability to distinguish binding430
from non-binding classes, thus affecting the framework’s predictive accuracy. 431
The enrichment ratios shown in Tables 5, 8, 11, and 14 demonstrate that binding 432
conformations can be identified with significantly higher accuracy compared to random 433
sampling, as evidenced by the baseline results in Table 2. In particular, the highest 434
enrichment is achieved when selecting the top 0.5% to 1% of the binding conformations, 435
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indicating that the most predictive and biologically relevant data points are 436
concentrated among the candidates ranked highest. 437
Conclusion
438
This work presented an AI/ML-based multi-modal framework designed to improve the 439
detection of both binding and non-binding protein conformations by integrating local 440
and global structural information. The proposed approach leverages Graph 441
Convolutional Networks (GCNs) trained with a contrastive loss function to capture 442
meaningful connectivity patterns within protein structures. The GCN learns 443
discriminative graph embeddings that effectively group binding conformations while 444
separating non-binding ones. These embeddings are then processed by traditional 445
machine learning classifiers, and their outputs are combined using a decision fusion 446
strategy to enhance overall classification performance. 447
The study demonstrated that incorporating both global descriptors—reflecting 448
protein-level structural and stability features—and local descriptors—such as 449
pharmacophores that encode site-specific binding information—provides complementary 450
insights that significantly improve conformation classification. Additionally, the use of 451
graph embeddings learned via contrastive learning offers a more compact and 452
noise-resistant data representation than conventional graph classification methods. 453
These embeddings preserve essential structural relationships while facilitating a clearer 454
distinction between classes. 455
Overall, the integration of multi-modal data, GCN-based embedding learning, and 456
ensemble decision-making contributes to a robust and generalizable framework capable 457
of accurately identifying protein binding states. This methodology holds promise for 458
advancing structure-based protein function prediction and accelerating drug discovery 459
workflows. 460
Acknowledgments 461
The authors gratefully acknowledge Dr. Armin Ahmadi for providing the 462
Pharmacophore dataset used in this study. 463
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