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We introduce a new Markov-Chain Monte Carlo (MCMC) approach designed for efficient sampling of highly correlated and multimodal posteriors. Parallel tempering, though effective, is a costly technique for sampling such posteriors. Our…

Instrumentation and Methods for Astrophysics · Physics 2014-10-01 Benjamin Farr , Vicky Kalogera , Erik Luijten

We propose a novel class of Sequential Monte Carlo (SMC) algorithms, appropriate for inference in probabilistic graphical models. This class of algorithms adopts a divide-and-conquer approach based upon an auxiliary tree-structured…

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

Data Analysis, Statistics and Probability · Physics 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

Motivation Protein fold recognition is an important problem in structural bioinformatics. Almost all traditional fold recognition methods use sequence (homology) comparison to indirectly predict the fold of a tar get protein based on the…

Machine Learning · Computer Science 2017-06-06 Jie Hou , Badri Adhikari , Jianlin Cheng

Segmenting images of low quality or with missing data is a challenging problem. Integrating statistical prior information about the shapes to be segmented can improve the segmentation results significantly. Most shape-based segmentation…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Ertunc Erdil , Sinan Yıldırım , Müjdat Çetin , Tolga Taşdizen

We introduce and characterise the performance of the Markov chain Monte Carlo (MCMC) inference method Prune Sampling for discrete and deterministic Bayesian networks (BNs). We developed a procedure to obtain the performance of a MCMC…

Computation · Statistics 2019-08-20 Frank Phillipson , Jurriaan Parie , Ron Weikamp

Diffusion- and flow-based generative models have recently demonstrated strong performance in protein backbone generation tasks, offering unprecedented capabilities for de novo protein design. However, while achieving notable performance in…

Machine Learning · Computer Science 2025-10-29 Liyang Xie , Haoran Zhang , Zhendong Wang , Wesley Tansey , Mingyuan Zhou

Markov Chain Monte Carlo (MCMC) methods for sampling probability density functions (combined with abundant computational resources) have transformed the sciences, especially in performing probabilistic inferences, or fitting models to data.…

Instrumentation and Methods for Astrophysics · Physics 2018-05-23 David W. Hogg , Daniel Foreman-Mackey

Autoregressive models have transformed protein engineering by enabling the generation of novel protein sequences beyond those found in nature. However, their sequential inference introduces significant latency, limiting their utility in…

Machine Learning · Computer Science 2025-09-29 Thomas Walton , Darin Tsui , Aryan Musharaf , Amirali Aghazadeh

1. Bayesian inference is difficult because it often requires time consuming tuning of samplers. Differential evolution Monte-Carlo (DEMC) is a self-tuning multi-chain sampling approach which requires minimal input from the operator as…

Methodology · Statistics 2022-09-22 Willem Bonnaffé

Diffusion models are powerful generative models that simulate the reverse of diffusion processes using score functions to synthesize data from noise. The sampling process of diffusion models can be interpreted as solving the reverse…

Machine Learning · Computer Science 2022-09-30 Beomsu Kim , Jong Chul Ye

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

Proteins move and deform to ensure their biological functions. Despite significant progress in protein structure prediction, approximating conformational ensembles at physiological conditions remains a fundamental open problem. This paper…

Biomolecules · Quantitative Biology 2025-04-07 Valentin Lombard , Sergei Grudinin , Elodie Laine

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

Machine Learning · Computer Science 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

There has been substantial interest in developing Markov chain Monte Carlo algorithms based on piecewise-deterministic Markov processes. However existing algorithms can only be used if the target distribution of interest is differentiable…

Statistics Theory · Mathematics 2021-11-12 Augustin Chevallier , Sam Power , Andi Q. Wang , Paul Fearnhead

The edge partition model (EPM) is a generative model for extracting an overlapping community structure from static graph-structured data. In the EPM, the gamma process (GaP) prior is adopted to infer the appropriate number of latent…

Social and Information Networks · Computer Science 2024-03-04 Sikun Yang , Heinz Koeppl

Deep generative modeling for biological sequences presents a unique challenge in reconciling the bias-variance trade-off between explicit biological insight and model flexibility. The deep manifold sampler was recently proposed as a means…

Measuring learning progress is essential for curiosity-driven exploration in reinforcement learning, but widely used signals such as prediction error often fail to distinguish meaningful, learnable patterns from random noise. This paper…

Machine Learning · Computer Science 2026-05-08 Samuel Blad , Martin Längkvist , Amy Loutfi

Protein inverse folding aims to identify viable amino acid sequences that can fold into given protein structures, enabling the design of novel proteins with desired functions for applications in drug discovery, enzyme engineering, and…

Quantitative Methods · Quantitative Biology 2024-11-05 Taoyu Wu , Yu Guang Wang , Yiqing Shen

We present a sequential sampling methodology for weakly structural Markov laws, arising naturally in a Bayesian structure learning context for decomposable graphical models. As a key component of our suggested approach, we show that the…

Statistics Theory · Mathematics 2019-09-04 Jimmy Olsson , Tetyana Pavlenko , Felix L. Rios