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Predicting how materials behave under realistic conditions requires understanding the statistical distribution of atomic configurations on crystal lattices, a problem central to alloy design, catalysis, and the study of phase transitions.…

Statistical Mechanics · Physics 2026-03-17 Xiaochen Du , Juno Nam , Sulin Liu , Rafael Gómez-Bombarelli

It has recently been discovered that many biological systems, when represented as graphs, exhibit a scale-free topology. One such system is the set of structural relationships among protein domains. The scale-free nature of this and other…

Populations and Evolution · Quantitative Biology 2009-11-10 Eric J. Deeds , Eugene I. Shakhnovich

Searching for potential active compounds in large databases is a necessary step to reduce time and costs in modern drug discovery pipelines. Such virtual screening methods seek to provide predictions that allow the search space to be…

Biomolecules · Quantitative Biology 2023-05-23 Rafael Mena-Yedra , Juana L. Redondo , Horacio Pérez-Sánchez , Pilar M. Ortigosa

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

Masked diffusion models (MDMs) have shown promise in language modeling, yet their scalability and effectiveness in core language tasks, such as text generation and language understanding, remain underexplored. This paper establishes the…

Artificial Intelligence · Computer Science 2025-03-03 Shen Nie , Fengqi Zhu , Chao Du , Tianyu Pang , Qian Liu , Guangtao Zeng , Min Lin , Chongxuan Li

Mass spectrometry is the dominant technology in the field of proteomics, enabling high-throughput analysis of the protein content of complex biological samples. Due to the complexity of the instrumentation and resulting data, sophisticated…

In recent years dynamical modelling has been provided with a range of breakthrough methods to perform exact Bayesian inference. However it is often computationally unfeasible to apply exact statistical methodologies in the context of large…

Computation · Statistics 2014-12-24 Umberto Picchini , Julie Lyng Forman

This work presents an omics-driven modeling pipeline that integrates machine-learning tools to facilitate the dynamic modeling of multiscale biological systems. Random forests and permutation feature importance are proposed to mine omics…

Quantitative Methods · Quantitative Biology 2025-01-17 Sebastián Espinel-Ríos , José Montaño López , José L. Avalos

The quality of process data plays a key role in training a Process Reward Model (PRM), which can enhance the complex mathematical reasoning capability of large language models. Existing methods estimate the quality of reasoning steps based…

Artificial Intelligence · Computer Science 2025-09-30 Jie Ma , Shihao Qi , Rui Xing , Ziang Yin , Bifan Wei , Jun Liu , Tongliang Liu

Traditional AI methods often rely on task-specific model designs and training, which constrain both the scalability of model size and generalization across different tasks. Here, we introduce ChemFM, a large foundation model specifically…

Computational Engineering, Finance, and Science · Computer Science 2025-11-06 Feiyang Cai , Katelin Zacour , Tianyu Zhu , Tzuen-Rong Tzeng , Yongping Duan , Ling Liu , Srikanth Pilla , Gang Li , Feng Luo

Structural biology relies on accurate three-dimensional biomolecular structures to advance our understanding of biological functions, disease mechanisms, and therapeutics. While recent advances in deep learning have enabled the development…

Biomolecules · Quantitative Biology 2025-04-02 Yizhen Luo , Jiashuo Wang , Siqi Fan , Zaiqing Nie

Test-time scaling has emerged as a transformative paradigm for enhancing the performance of large reasoning models, enabling dynamic allocation of computational resources during inference. However, as the landscape of reasoning models…

Artificial Intelligence · Computer Science 2025-10-08 Zhangyue Yin , Qiushi Sun , Zhiyuan Zeng , Zhiyuan Yu , Qipeng Guo , Xuanjing Huang , Xipeng Qiu

The field of protein folding research has been greatly advanced by deep learning methods, with AlphaFold2 (AF2) demonstrating exceptional performance and atomic-level precision. As co-evolution is integral to protein structure prediction,…

Quantitative Methods · Quantitative Biology 2023-06-06 Le Zhang , Jiayang Chen , Tao Shen , Yu Li , Siqi Sun

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

Methodology · Statistics 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

While modern biotechnologies allow synthesizing new proteins and function measurements at scale, efficiently exploring a protein sequence space and engineering it remains a daunting task due to the vast sequence space of any given protein.…

Biomolecules · Quantitative Biology 2024-01-15 Jiahao Qiu , Hui Yuan , Jinghong Zhang , Wentao Chen , Huazheng Wang , Mengdi Wang

The atomistic modeling of amorphous materials requires structure sizes and sampling statistics that are challenging to achieve with first-principles methods. Here, we propose a methodology to speed up the sampling of amorphous and…

Disordered Systems and Neural Networks · Physics 2018-03-29 Nongnuch Artrith , Alexander Urban , Gerbrand Ceder

AI-based in silico methods have improved protein structure prediction but often struggle with large protein complexes (PCs) involving multiple interacting proteins due to missing 3D spatial cues. Experimental techniques like Cryo-EM are…

Protein design using structure prediction models such as AlphaFold2 has shown remarkable success, but existing approaches like relaxed sequence optimization (RSO) rely on single-path gradient descent and ignore sequence-space constraints,…

Machine Learning · Computer Science 2025-10-29 Joohwan Ko , Aristofanis Rontogiannis , Yih-En Andrew Ban , Axel Elaldi , Nicholas Franklin

Here we review the development of protein scaling theory, starting from backgrounds in mathematics and statistical mechanics, and leading to biomedical applications. Evolution has organized each protein family in different ways, but scaling…

Other Quantitative Biology · Quantitative Biology 2016-10-14 J. C. Phillips

Despite the significant increase in computational power, molecular modeling of protein structure using classical all-atom approaches remains inefficient, at least for most of the protein targets in the focus of biomedical research. Perhaps…

Biomolecules · Quantitative Biology 2016-11-01 Sebastian Kmiecik , Andrzej Kolinski