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The goal of protein fitness optimization is to discover new protein variants with enhanced fitness for a given use. The vast search space and the sparsely populated fitness landscape, along with the discrete nature of protein sequences,…

Machine Learning · Computer Science 2025-05-29 Lea Bogensperger , Dominik Narnhofer , Ahmed Allam , Konrad Schindler , Michael Krauthammer

Sequential Monte Carlo (SMC) methods are a class of Monte Carlo methods that are used to obtain random samples of a high dimensional random variable in a sequential fashion. Many problems encountered in applications often involve different…

Methodology · Statistics 2018-12-20 Chencheng Cai , Rong Chen , Ming Lin

Reinforcement learning (RL) post-training is a dominant approach for improving the reasoning performance of large language models (LLMs), yet growing evidence suggests that its gains arise primarily from distribution sharpening rather than…

Machine Learning · Computer Science 2026-01-30 Xiaotong Ji , Rasul Tutunov , Matthieu Zimmer , Haitham Bou Ammar

Markov Chain Monte Carlo (MCMC) methods, such as the Metropolis-Hastings (MH) algorithm, are widely used for Bayesian inference. One of the most important issues for any MCMC method is the convergence of the Markov chain, which depends…

Computation · Statistics 2015-11-20 Luca Martino , Jesse Read , David Luengo

Designing protein sequences with optimal energetic stability is a key challenge in protein inverse folding, as current deep learning methods are primarily trained by maximizing sequence recovery rates, often neglecting the energy of the…

Machine Learning · Computer Science 2025-06-12 Dingyi Rong , Haotian Lu , Wenzhuo Zheng , Fan Zhang , Shuangjia Zheng , Ning Liu

The adsorption or adhesion of large particles (proteins, colloids, cells, >...) at the liquid-solid interface plays an important role in many diverse applications. Despite the apparent complexity of the process, two features are…

Statistical Mechanics · Physics 2007-05-23 J. Talbot , G. Tarjus , P. R. Van Tassel , P. Viot

In this study, we propose an analytic statistical mechanics approach to solve a fundamental problem in biological physics called protein design. Protein design is an inverse problem of protein structure prediction, and its solution is the…

Statistical Mechanics · Physics 2022-10-26 Tomoei Takahashi , George Chikenji , Kei Tokita

Large Language Models (LLMs) have shown improved generation performance through retrieval-augmented generation (RAG) following the retriever-reader paradigm, which supplements model inputs with externally retrieved knowledge. However, prior…

Computation and Language · Computer Science 2025-11-14 Zhanghao Hu , Qinglin Zhu , Siya Qi , Yulan He , Hanqi Yan , Lin Gui

Designing protein sequences that fold into a target 3D structure, known as protein inverse folding, is a fundamental challenge in protein engineering. While recent deep learning methods have achieved impressive performance by recovering…

Biomolecules · Quantitative Biology 2025-06-03 Mengdi Liu , Xiaoxue Cheng , Zhangyang Gao , Hong Chang , Cheng Tan , Shiguang Shan , Xilin Chen

The 2024 Nobel Prize in Chemistry was awarded in part for protein structure prediction using AlphaFold2, an artificial intelligence/machine learning (AI/ML) model trained on vast amounts of sequence and 3D structure data. AlphaFold2 and…

Biomolecules · Quantitative Biology 2025-04-22 Alexander M. Ille , Emily Anas , Michael B. Mathews , Stephen K. Burley

An Automated Sliced Gibbs framework is proposed for fully automated Markov chain Monte Carlo sampling from arbitrary finite dimensional probability kernels. The method targets unnormalized, non-smooth, heavy tailed, and highly multimodal…

Methodology · Statistics 2026-04-01 Prithwish Ghosh , Sujit K Ghosh

We present a novel adaptive random subspace learning algorithm (RSSL) for prediction purpose. This new framework is flexible where it can be adapted with any learning technique. In this paper, we tested the algorithm for regression and…

Machine Learning · Computer Science 2015-02-10 Mohamed Elshrif , Ernest Fokoue

Many recent reasoning gains in large language models can be explained as distribution sharpening: biasing generation toward high-likelihood trajectories already supported by the pretrained model, rather than modifying its weights. A natural…

Machine Learning · Statistics 2026-03-24 Seyedarmin Azizi , Erfan Baghaei Potraghloo , Minoo Ahmadi , Souvik Kundu , Massoud Pedram

Protein fitness optimization involves finding a protein sequence that maximizes desired quantitative properties in a combinatorially large design space of possible sequences. Recent advances in steering protein generative models (e.g.,…

Biomolecules · Quantitative Biology 2025-10-22 Jason Yang , Wenda Chu , Daniel Khalil , Raul Astudillo , Bruce J. Wittmann , Frances H. Arnold , Yisong Yue

Proteins are the fundamental macromolecules that play diverse and crucial roles in all living matter and have tremendous implications in healthcare, manufacturing, and biotechnology. Their functions are largely determined by the sequences…

Biomolecules · Quantitative Biology 2024-09-17 Boqiao Lai

Proteins are essential components of all living organisms and play a critical role in cellular survival. They have a broad range of applications, from clinical treatments to material engineering. This versatility has spurred the development…

Applications · Statistics 2025-03-28 Chenyu Ren , Daihai He , Jian Huang

A plethora of protein language models have been released in recent years. Yet comparatively little work has addressed how to best sample from them to optimize desired biological properties. We fill this gap by proposing a flexible,…

Machine Learning · Computer Science 2026-05-08 Calvin McCarter , Nick Bhattacharya , Sebastian W. Ober , Hunter Elliott

It is important to extract reaction coordinates or order parameters from protein simulations in order to investigate the local minimum-energy states and the transitions between them. The most popular method to obtain such data is principal…

Chemical Physics · Physics 2015-10-06 Ayori Mitsutake , Hiroshi Takano

Large reasoning models (LRMs) have achieved remarkable progress on complex tasks by generating extended chains of thought (CoT). However, their uncontrolled output lengths pose significant challenges for real-world deployment, where…

Machine Learning · Computer Science 2025-05-22 Yuhui Xu , Hanze Dong , Lei Wang , Doyen Sahoo , Junnan Li , Caiming Xiong

Large language models (LLMs) have demonstrated remarkable capabilities in code generation and structured reasoning; however, their performance often degrades on complex tasks that require consistent multi-step planning. Recent work has…

Machine Learning · Computer Science 2025-08-11 Fei Xu Yu , Gina Adam , Nathaniel D. Bastian , Tian Lan