Organizations: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China · School of Computer Science and Engineering, Northeastern University, Shenyang 110819, China · Key Laboratory of Data Analytics and Optimization for Smart Industry, Ministry of Education, Northeastern University, Shenyang 110819, China
Intrinsically disordered regions of proteins play a crucial role in cell signaling and drug discovery. However, their high structural flexibility makes accurate residue-level prediction challenging. Existing methods often rely on single-view representations or rigid manual fusion strategies, which fail to effectively balance the complex interplay between local amino acid preferences and long-range sequence patterns. To address these limitations, we propose D2MOE, a Dual-View Multiscale Features and Multi-objective Evolutionary Algorithm, which consists of two stages. First, a dual-view multiscale feature extraction method is introduced. This method integrates evolutionary views with deep semantic views and employs multiscale extractors to capture structural information across diverse receptive fields. Second, a multi-objective evolutionary algorithm is designed to adaptively discover optimal fusion architectures. By co-evolving discrete feature selection and continuous fusion weights, the algorithm adaptively explores optimal cross-feature architectures to enhance predictive accuracy while maintaining model compactness. Experimental results across three benchmark datasets demonstrate that D2MOE consistently outperforms state-of-the-art methods. D2MOE combines the feature extraction capabilities of deep learning with the global search advantages of evolutionary algorithms, enabling efficient feature integration without manual design, and providing a robust computational tool for protein disorder prediction.
Figures & tables
Fig. 1: Overview of D2MOE. (A) Dual-view multiscale feature extraction. Protein sequences are mapped into semantic (ProtT5) and evolutionary (HMM) views, which are then passed through multiscale CNN and RNN extractors to generate complementary feature representations. (B) Adaptive feature fusion via (C) MOEA. The 12 candidate features are encoded and evolved using a multi-objective algorithm to simultaneously optimize feature selection, fusion operators (Add, Max, Min, Mul), and fusion weights.
Hyperparameter
Setting
Number of epochs
100
Dropout rate
0.2
Batch size
256
Maximum sequence length
700
Number of labels
2
Kernel sizes (multiscale CNNs)
9, 17
TABLE I: Hyperparameters used in D2MOE.
Fig. 2: Performance comparison of D2MOE and seven representative predictors on three benchmark datasets. (a–c) Quantitative results on TS115, CASP12 and CB513, reporting MCC and F1 (bars) together with AUC and AUPR (lines). (d,e) ROC and PR curves on CASP12; AUC and AUPR are reported in the legends.
Fig. 3: Validation of the dual-view design on TS115, CASP12 and CB513. D2MOE denotes the dual-view model that integrates ProtT5 embeddings with HHblits-HMM profiles, whereas T5 and HMM use the semantic view or the evolutionary view alone. Bars report MCC and F1 (left axis), and lines report AUC and AUPR (right axis).
Fig. 4: Radar comparison of five fusion schemes (Add, Mul, Max, Min, and D2MOE) on (a) TS115, (b) CASP12, and (c) CB513 in terms of MCC, AUC, AUPR, and F1 (larger radius indicates better performance). D2MOE encloses all fixed operators on TS115 and CASP12, and remains dominant on CB513 except that Min is slightly higher on AUPR.
Datasets
TS115
CASP12
CB513
Methods
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
RNNs-only
0.656
0.739
0.674
0.940
0.622
0.721
0.648
0.924
0.484
0.477
0.489
0.910
CNNs-only
0.671
0.749
0.690
0.951
0.618
0.721
0.646
0.917
0.492
0.483
0.498
0.906
DV-SSF
0.669
0.756
0.687
0.953
0.605
0.714
0.633
0.917
0.494
0.476
0.495
0.907
DV-BSF
0.666
0.754
0.682
0.951
0.606
0.721
0.634
0.919
0.488
0.466
0.490
0.916
D2MOE
0.677
0.773
0.696
0.954
0.646
0.739
0.667
0.925
0.498
0.463
0.503
0.907
TABLE II: Ablation experiments for multiscale feature strategy on TS115, CASP12, and CB513
Datasets
TS115
CASP12
CB513
Methods
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
W=1
0.674
0.748
0.690
0.947
0.632
0.710
0.657
0.909
0.496
0.452
0.500
0.898
D2MOE
0.677
0.773
0.696
0.954
0.646
0.739
0.667
0.925
0.498
0.463
0.503
0.907
TABLE III: PERFORMANCE COMPARISON WITH DIFFERENTIAL EVOLUTION COEFFICIENTS
Datasets
TS115
CASP12
CB513
Methods
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
DV-MsF-EA
0.675
0.773
0.694
0.953
0.623
0.735
0.654
0.917
0.499
0.483
0.505
0.905
D2MOE
0.677
0.773
0.696
0.954
0.646
0.739
0.667
0.925
0.498
0.463
0.503
0.907
TABLE IV: Evaluation of multi-objective (D2MOE) and single-objective (DV-MsF-EA) evolutionary fusion on TS115, CASP12, and CB513.
Datasets
TS115
CASP12
CB513
Methods
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
MCC
AUPR
F1
AUC
HMM-CNN1
0.528
0.623
0.518
0.912
0.411
0.534
0.408
0.841
0.371
0.338
0.356
0.841
HMM-CNN2
0.606
0.692
0.618
0.932
0.539
0.624
0.554
0.869
0.424
0.389
0.429
0.857
HMM-CNN3
0.578
0.679
0.572
0.927
0.492
0.619
0.494
0.868
0.404
0.380
0.396
0.855
HMM-CNN4
0.614
0.693
0.634
0.935
0.585
0.669
0.605
0.871
0.434
0.405
0.442
0.869
T5-CNN1
0.663
0.763
0.679
0.950
0.624
0.736
0.647
0.923
0.486
0.469
0.487
0.918
TABLE V: Performance of the D2MOE model and twelve single features on TS115, CASP12, and CB513.
Multi-scale feature fusion combines representations at different resolutions or receptive fields to improve perception, prediction, and reconstruction.
Predicting protein secondary structure is essential for understanding protein function and advancing drug discovery. However, the intricate sequence-structure relationship poses significant challenges for accurate modeling. To address these, we propose MOGP-MMF, a multi-objective genetic programming framework that reformulates PSSP as an automated optimization task focused on feature selection and fusion. Specifically, MOGP-MMF introduces a multi-view multi-level representation strategy that integrates evolutionary, semantic, and newly introduced structural views to capture the comprehensive protein folding logic. Leveraging an enriched operator set, the framework evolves both linear and nonlinear fusion functions, effectively capturing high-order feature interactions while reducing fusion complexity. To resolve the accuracy-complexity trade-off, an improved multi-objective GP algorithm is developed, incorporating a knowledge transfer mechanism that utilizes prior evolutionary experience to guide the population toward global optima. Extensive experiments across seven benchmark datasets demonstrate that MOGP-MMF surpasses state-of-the-art methods, particularly in Q8 accuracy and structural integrity. Furthermore, MOGP-MMF generates a diverse set of non-dominated solutions, offering flexible model selection schemes for various practical application scenarios. The source code is available on GitHub: https://github.com/qian-ann/MOGP-MMF/tree/main.
Yining Qian, Lijie Su, Meiling Xu +1
National Frontiers Science Center for Industrial Intelligence and Systems Optimization, Shenyang 110819, China · Key Laboratory of Data Analytics and Optimization for Smart Industry (Northeastern University), Ministry of Education, Shenyang 110819, China · Liaoning Engineering Laboratory of Data Analytics and Optimization for Smart Industry, Shenyang 110819, China +2
Accurate protein structure prediction is fundamental to structural biology because protein structure underlies molecular function and provides a basis for mechanistic interpretation. Recent advances in deep learning have transformed the field from multiple sequence alignment (MSA)-driven monomer folding into broader frameworks capable of modeling protein complexes and increasingly heterogeneous molecular systems. Existing reviews have summarized this progress from the perspectives of representative models, application domains, and protein design. Building on these efforts, this review focuses on the methodological evolution of the field itself. It examines recent developments through three closely related dimensions: representations and data, architectures and learning strategies, and confidence and evaluation. Within this perspective, the field is organized into four methodological phases and three cross-cutting transitions: from explicit evolutionary coupling features and early contact prediction to learned sequence representations in AlphaFold2, RoseTTAFold, and ESMFold; from protein-only monomer folding to increasingly integrated modeling of heterogeneous molecular systems in AlphaFold-Multimer, RoseTTAFoldNA, and AlphaFold3; and, more recently, from prediction-oriented structure inference to design-oriented generative modeling in RFdiffusion and related frameworks. This framework provides a clearer understanding of how methodological shifts have shaped the capabilities, limitations, and practical roles of recent models.
Wengan He, Yongsheng Luo, Lihong Jiang +2
Zhuhai College of Science and Technology, Zhuhai, China · Zhuhai UNO Technology Co., Ltd., Zhuhai, China
Protein sequence design must balance designability, defined as the ability to recover a target backbone, with multiple, often competing, developability properties such as solubility, thermostability, and expression. Existing approaches address these properties through post hoc mutation, inference-time biasing, or retraining on property-specific subsets, yet they are target dependent and demand substantial domain expertise or careful hyperparameter tuning. In this paper, we introduce ProtAlign, a multi-objective preference alignment framework that fine-tunes pretrained inverse folding models to satisfy diverse developability objectives while preserving structural fidelity. ProtAlign employs a semi-online Direct Preference Optimization strategy with a flexible preference margin to mitigate conflicts among competing objectives and constructs preference pairs using in silico property predictors. Applied to the widely used ProteinMPNN backbone, the resulting model MoMPNN enhances developability without compromising designability across tasks including sequence design for CATH 4.3 crystal structures, de novo generated backbones, and real-world binder design scenarios, making it an appealing framework for practical protein sequence design.
Xiaoyang Hou, Junqi Liu, Chence Shi +3
BioGeometry · School of Computer Science, Peking University · Mila - Québec AI Institute +3