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Rate processes are often modeled using Markov-State Models (MSM). Suppose you know a prior MSM, and then learn that your prediction of some particular observable rate is wrong. What is the best way to correct the whole MSM? For example,…

Statistical Mechanics · Physics 2017-11-09 Purushottam D. Dixit , Ken A. Dill

Evaluating the performance of Multi-modal Large Language Models (MLLMs), integrating both point cloud and language, presents significant challenges. The lack of a comprehensive assessment hampers determining whether these models truly…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Junjie Zhang , Tianci Hu , Xiaoshui Huang , Yongshun Gong , Dan Zeng

Linear Mixed Models (LMMs) are important tools in statistical genetics. When used for feature selection, they allow to find a sparse set of genetic traits that best predict a continuous phenotype of interest, while simultaneously correcting…

Data-driven modeling based on Machine Learning (ML) is becoming a central component of protein engineering workflows. This perspective presents the elements necessary to develop effective, reliable, and reproducible ML models, and a set of…

Biomolecules · Quantitative Biology 2025-07-11 Fabio Herrera-Rocha , David Medina-Ortiz , Fabian Mauz , Juergen Pleiss , Mehdi D. Davari

Simple hidden Markov models are proposed for predicting secondary structure of a protein from its amino acid sequence. Since the length of protein conformation segments varies in a narrow range, we ignore the duration effect of length…

Biological Physics · Physics 2007-05-23 Wei-Mou Zheng

Many state of the art methods for the thermodynamic and kinetic characterization of large and complex biomolecular systems by simulation rely on ensemble approaches, where data from large numbers of relatively short trajectories are…

Data Analysis, Statistics and Probability · Physics 2017-04-05 Feliks Nüske , Hao Wu , Jan-Hendrik Prinz , Christoph Wehmeyer , Cecilia Clementi , Frank Noé

The parallels between protein sequences and natural language in their sequential structures have inspired the application of large language models (LLMs) to protein understanding. Despite the success of LLMs in NLP, their effectiveness in…

Quantitative Methods · Quantitative Biology 2024-07-09 Yiqing Shen , Zan Chen , Michail Mamalakis , Luhan He , Haiyang Xia , Tianbin Li , Yanzhou Su , Junjun He , Yu Guang Wang

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

Applications · Statistics 2015-01-19 Abel Rodriguez , Scott C. Schmidler

Rapid development of modern sequencing platforms enabled an unprecedented growth of protein families databases. The abundance of sets composed of hundreds of thousands sequences is a great challenge for multiple sequence alignment…

Genomics · Quantitative Biology 2017-03-03 Sebastin Deorowicz , Agnieszka Debudaj-Grabysz , Adam Gudys

The observed correlations between pairs of homologous protein sequences are typically explained in terms of a Markovian dynamic of amino acid substitution. This model assumes that every location on the protein sequence has the same…

Biomolecules · Quantitative Biology 2007-05-23 Gavin E. Crooks , Steven E. Brenner

The evaluation of time series models has traditionally focused on four canonical tasks: forecasting, imputation, anomaly detection, and classification. While these tasks have driven significant progress, they primarily assess task-specific…

Machine Learning · Computer Science 2025-09-26 Meng Wan , Benxi Tian , Jue Wang , Cui Hui , Ningming Nie , Tiantian Liu , Zongguo Wang , Cao Rongqiang , Peng Shi , Yangang Wang

The rapid evolution of molecular dynamics (MD) methods, including machine-learned dynamics, has outpaced the development of standardized tools for method validation. Objective comparison between simulation approaches is often hindered by…

Large language model (LLM) evaluation is increasingly costly, prompting interest in methods that speed up evaluation by shrinking benchmark datasets. Benchmark prediction (also called efficient LLM evaluation) aims to select a small subset…

Machine Learning · Computer Science 2025-06-10 Guanhua Zhang , Florian E. Dorner , Moritz Hardt

The subject of this paper is to study conformance checking for timed models, that is, process models that consider both the sequence of events in a process as well as the timestamps at which each event is recorded. Time-aware process mining…

Formal Languages and Automata Theory · Computer Science 2022-07-06 Thomas Chatain , Neha Rino

We present a maximum-caliber method for inferring transition rates of a Markov State Model (MSM) with perturbed equilibrium populations, given estimates of state populations and rates for an unperturbed MSM. It is similar in spirit to…

Biomolecules · Quantitative Biology 2016-05-26 Vincent A. Voelz , Guangfeng Zhou , Hongbin Wan

Function-guided protein design is a crucial task with significant applications in drug discovery and enzyme engineering. However, the field lacks a unified and comprehensive evaluation framework. Current models are assessed using…

Machine Learning · Computer Science 2025-09-30 Jiahao Kuang , Nuowei Liu , Jie Wang , Changzhi Sun , Tao Ji , Yuanbin Wu

We give a new framework for solving the fundamental problem of low-rank matrix completion, i.e., approximating a rank-$r$ matrix $\mathbf{M} \in \mathbb{R}^{m \times n}$ (where $m \ge n$) from random observations. First, we provide an…

Machine Learning · Computer Science 2023-08-08 Jonathan A. Kelner , Jerry Li , Allen Liu , Aaron Sidford , Kevin Tian

Both linear mixed models (LMMs) and sparse regression models are widely used in genetics applications, including, recently, polygenic modeling in genome-wide association studies. These two approaches make very different assumptions, so are…

Quantitative Methods · Quantitative Biology 2012-11-16 Xiang Zhou , Peter Carbonetto , Matthew Stephens

Time series are used in many domains including finance, engineering, economics and bioinformatics generally to represent the change of a measurement over time. Modeling techniques may then be used to give a synthetic representation of such…

Methodology · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Generative modeling has become a central paradigm in protein research, extending machine learning beyond structure prediction toward sequence design, backbone generation, inverse folding, and biomolecular interaction modeling. However, the…

Machine Learning · Computer Science 2026-03-30 Senura Hansaja Wanasekara , Minh-Duong Nguyen , Xiaochen Liu , Nguyen H. Tran , Ken-Tye Yong