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We propose a novel deep symbolic regression approach to enhance the robustness and interpretability of data-driven mathematical expression discovery. Our work is aligned with the popular DSR framework which focuses on learning a…

Machine Learning · Computer Science 2026-03-30 Zachary Bastiani , Robert M. Kirby , Jacob Hochhalter , Shandian Zhe

DNA-binding proteins (DBPs) are integral to gene regulation and cellular processes, making their accurate identification essential for understanding biological functions and disease mechanisms. Experimental methods for DBP identification…

Machine Learning · Computer Science 2025-07-29 Samiul Based Shuvo , Tasnia Binte Mamun , U Rajendra Acharya

Electrostatic forces play many important roles in molecular biology, but are hard to model due to the complicated interactions between biomolecules and the surrounding solvent, a fluid composed of water and dissolved ions. Continuum model…

Numerical Analysis · Mathematics 2015-12-29 Jaydeep P. Bardhan , Matthew G. Knepley

The prediction of the three-dimensional structures of the native state of proteins from the sequences of their amino acids is one of the most important challenges in molecular biology. An essential ingredient to solve this problem within…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Flavio Seno , Jayanth Banavar , Amos Maritan

Nonstationary Gaussian processes (GPs) are essential for modeling complex, locally heterogeneous spatial data. A common modeling approach is the spatial deformation method that warps the domain to recover isotropy. However, this static…

Machine Learning · Computer Science 2026-05-01 Minghao Gu , Weizhi Lin , Qiang Huang

Learning complex network dynamics is fundamental for understanding, modeling, and controlling real-world complex systems. Though great efforts have been made to predict the future states of nodes on networks, the capability of capturing…

Social and Information Networks · Computer Science 2025-03-04 Ruikun Li , Huandong Wang , Jinghua Piao , Qingmin Liao , Yong Li

Multivariate oscillatory signals from complex systems often exhibit non-stationary dynamics and metastable regime structure, making dynamical interpretation challenging. We introduce a ``dynamical microscope'' framework that converts…

Neurons and Cognition · Quantitative Biology 2026-02-12 Łukasz Furman , Ludovico Minati , Włodzisław Duch

Feed-forward 3D Gaussian Splatting (3DGS) enables efficient one-pass scene reconstruction, providing 3D representations for novel view synthesis without per-scene optimization. However, existing methods typically predict pixel-aligned…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Jongmin Park , Minh-Quan Viet Bui , Juan Luis Gonzalez Bello , Jaeho Moon , Jihyong Oh , Munchurl Kim

We introduce ProteinWorkshop, a comprehensive benchmark suite for representation learning on protein structures with Geometric Graph Neural Networks. We consider large-scale pre-training and downstream tasks on both experimental and…

Physics-driven 4D dynamic simulation from static 3D scenes remains constrained by an overlooked contradiction: reliable motion supervision often relies on online video diffusion or optical-flow pipelines whose computational cost exceeds…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Changshe Zhang , Jie Feng , Siyu Chen , Guanbin Li , Ronghua Shang , Junpeng Zhang

Multiple time scale stochastic dynamical systems are ubiquitous in science and engineering, and the reduction of such systems and their models to only their slow components is often essential for scientific computation and further analysis.…

Dynamical Systems · Mathematics 2015-01-22 Carmeline J. Dsilva , Ronen Talmon , C. William Gear , Ronald R. Coifman , Ioannis G. Kevrekidis

We model the spatiotemporal dynamics of cellular protein concentrations near membranes composed of different lipids using a three-variable continuum model for membrane-bound protein, cytosolic protein, and the local composition of a binary…

Soft Condensed Matter · Physics 2026-03-26 Benjamin Winkler , Sergio Alonso , Markus Bär

Despite recent advances in protein-ligand structure prediction, deep learning methods remain limited in their ability to accurately predict binding affinities, particularly for novel protein targets dissimilar from the training set. In…

Quantitative Methods · Quantitative Biology 2025-12-04 Michael Brocidiacono , James Wellnitz , Konstantin I. Popov , Alexander Tropsha

We present a non-parametric Bayesian latent variable model capable of learning dependency structures across dimensions in a multivariate setting. Our approach is based on flexible Gaussian process priors for the generative mappings and…

Machine Learning · Statistics 2018-07-16 Andrew R. Lawrence , Carl Henrik Ek , Neill D. F. Campbell

In this paper we show that a dynamical description of the protein folding process provides an effective representation of equilibrium properties and it allows for a direct investigation of the mechanisms ruling the approach towards the…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Roberto Livi , Antonio Politi

This paper presents a hybrid approach between scale-space theory and deep learning, where a deep learning architecture is constructed by coupling parameterized scale-space operations in cascade. By sharing the learnt parameters between…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Tony Lindeberg

The kinetics and dynamics of drug-protein binding and dissociation are crucial to understanding drug absorption and metabolism. Despite advances in artificial intelligence (AI) tools for drug-protein interaction studies, existing training…

Computational Physics · Physics 2026-02-17 Maodong Li , Jiying Zhang , Zhe Wang , Bin Feng , Wenqi Zeng , Dechin Chen , Zhijun Pan , Yu Li , Zijing Liu , Yi Isaac Yang

Fine-tuning pretrained models has become a standard approach to adapting pretrained knowledge to improve the accuracy on new sparse, imbalance datasets. However, issues arise when optimization falls into a collapsed state, where the model…

Machine Learning · Computer Science 2026-05-01 Nghia Bui , Lijing Wang

We address protein structure prediction in the 3D Hydrophobic-Polar lattice model through two novel deep learning architectures. For proteins under 36 residues, our hybrid reservoir-based model combines fixed random projections with…

Machine Learning · Computer Science 2024-12-31 Giovanny Espitia , Yui Tik Pang , James C. Gumbart

Reconstructing large-scale dynamic driving scenes remains challenging due to the coexistence of static environments with extreme depth variation and diverse dynamic actors exhibiting complex motions. Existing Gaussian Splatting based…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Cong Wang , Ruiqi Song , Wei Tian , Chenming Zhang , Lingxi Li , Long Chen