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Predicting compound-protein affinity is critical for accelerating drug discovery. Recent progress made by machine learning focuses on accuracy but leaves much to be desired for interpretability. Through molecular contacts underlying…

Biomolecules · Quantitative Biology 2020-01-01 Mostafa Karimi , Di Wu , Zhangyang Wang , Yang Shen

The contact map of a protein fold is a graph that represents the patterns of contacts in the fold. It is known that the contact map can be decomposed into stacks and queues. RNA secondary structures are special stacks in which the degree of…

Combinatorics · Mathematics 2014-06-05 William Y. C. Chen , Qiang-Hui Guo , Lisa H. Sun , Jian Wang

Background: In the Nearest-Neighbor Thermodynamic Model, a standard approach for RNA secondary structure prediction, the energy of the multiloops is modeled using a linear entropic penalty governed by three branching parameters. Although…

Biomolecules · Quantitative Biology 2025-10-15 Svetlana Poznanović , Owen Cardwell , Christine Heitsch

Deep learning has contributed to major advances in the prediction of protein structure from sequence, a fundamental problem in structural bioinformatics. With predictions now approaching the accuracy of crystallographic resolution in some…

Quantitative Methods · Quantitative Biology 2022-01-26 Mu Gao , Mark Coletti , Russell B. Davidson , Ryan Prout , Subil Abraham , Benjamin Hernandez , Ada Sedova

The GOR program for predicting protein secondary structure is extended to include triple correlation. A score system for a residue pair to be at certain conformation state is derived from the conditional weight matrix describing amino acid…

Biological Physics · Physics 2007-05-23 Xin Liu , Li-mei Zhang , Wei-Mou Zheng

Understanding protein solubility is essential for their functional applications. Computational methods for predicting protein solubility are crucial for reducing experimental costs and enhancing the efficiency and success rates of protein…

Quantitative Methods · Quantitative Biology 2024-07-01 Yang Tan , Jia Zheng , Liang Hong , Bingxin Zhou

Robust optimization is an established framework for modeling optimization problems with uncertain parameters. While static robust optimization is often criticized for being too conservative, two-stage (or adjustable) robust optimization…

Optimization and Control · Mathematics 2024-11-05 Justin Dumouchelle , Esther Julien , Jannis Kurtz , Elias B. Khalil

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

Why do modern language models, trained to do well on next-word prediction, appear to generate coherent documents and capture long-range structure? Here we show that next-token prediction is provably powerful for learning longer-range…

Machine Learning · Computer Science 2025-12-09 Xinyuan Cao , Santosh S. Vempala

Understanding how proteins structurally interact is crucial to modern biology, with applications in drug discovery and protein design. Recent machine learning methods have formulated protein-small molecule docking as a generative problem…

The primary objective of Optical Chemical Structure Recognition is to identify chemical structure images into corresponding markup sequences. However, the complex two-dimensional structures of molecules, particularly those with rings and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Qikai Chang , Mingjun Chen , Changpeng Pi , Pengfei Hu , Zhenrong Zhang , Jiefeng Ma , Jun Du , Baocai Yin , Jinshui Hu

One of the core problems in large-scale recommendations is to retrieve top relevant candidates accurately and efficiently, preferably in sub-linear time. Previous approaches are mostly based on a two-step procedure: first learn an…

Information Retrieval · Computer Science 2021-05-19 Weihao Gao , Xiangjun Fan , Chong Wang , Jiankai Sun , Kai Jia , Wenzhi Xiao , Ruofan Ding , Xingyan Bin , Hui Yang , Xiaobing Liu

Predicting a structure of an antibody from its sequence is important since it allows for a better design process of synthetic antibodies that play a vital role in the health industry. Most of the structure of an antibody is conservative.…

Biomolecules · Quantitative Biology 2021-12-23 Natalia Zenkova , Ekaterina Sedykh , Tatiana Shugaeva , Vladislav Strashko , Timofei Ermak , Aleksei Shpilman

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

Predicting the consensus structure of a set of aligned RNA homologs is a convenient method to find conserved structures in an RNA genome, which has many applications including viral diagnostics and therapeutics. However, the most commonly…

Biomolecules · Quantitative Biology 2024-07-08 Apoorv Malik , Liang Zhang , Milan Gautam , Ning Dai , Sizhen Li , He Zhang , David H. Mathews , Liang Huang

The goal of Protein Structure Prediction (PSP) problem is to predict a protein's 3D structure (confirmation) from its amino acid sequence. The problem has been a 'holy grail' of science since the Noble prize-winning work of Anfinsen…

Biomolecules · Quantitative Biology 2023-01-24 Abbi Abdel-Rehim , Oghenejokpeme Orhobor , Hang Lou , Hao Ni , Ross D. King

Deep learning-based approaches, such as AlphaFold2 (AF2), have significantly advanced protein tertiary structure prediction, achieving results comparable to real biological experimental methods. While AF2 has shown limitations in predicting…

Biomolecules · Quantitative Biology 2025-01-23 Zhongju Yuan , Tao Shen , Sheng Xu , Leiye Yu , Ruobing Ren , Siqi Sun

Molecular docking is a key computational tool utilized to predict the binding conformations of small molecules to protein targets, which is fundamental in the design of novel drugs. Despite recent advancements in geometric deep…

Biomolecules · Quantitative Biology 2023-12-01 Jiaxian Yan , Zaixi Zhang , Kai Zhang , Qi Liu

Reinforcement learning (RL) has experienced a second wind in the past decade. While incredibly successful in images and videos, these systems still operate within the realm of propositional tasks ignoring the inherent structure that exists…

Machine Learning · Computer Science 2025-10-21 Fateme Golivand Darvishvand , Hikaru Shindo , Sahil Sidheekh , Kristian Kersting , Sriraam Natarajan

RNA, whose functionality is largely determined by its structure, plays an important role in many biological activities. The prediction of pairwise structural proximity between each nucleotide of an RNA sequence can characterize the…

Quantitative Methods · Quantitative Biology 2024-01-22 Yiren Jian , Chongyang Gao , Chen Zeng , Yunjie Zhao , Soroush Vosoughi