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It is common practice in Markov chain Monte Carlo to update the simulation one variable (or sub-block of variables) at a time, rather than conduct a single full-dimensional update. When it is possible to draw from each full-conditional…

Computation · Statistics 2013-10-03 Alicia A. Johnson , Galin L. Jones , Ronald C. Neath

In large-scale genomic applications vast numbers of molecular features are scanned in order to find a small number of candidates which are linked to a particular disease or phenotype. This is a variable selection problem in the "large p,…

Computation · Statistics 2014-02-13 Manuela Zucknick , Sylvia Richardson

The maximum clique problem (MCP) is a fundamental problem in graph theory and in computational complexity. Given a graph G, the problem is that of finding the largest clique (complete subgraph) in G. The MCP has many important applications…

Neural and Evolutionary Computing · Computer Science 2024-09-30 Michael Vella , John Abela , Kristian Guillaumier

Evaluating concept customization is challenging, as it requires a comprehensive assessment of fidelity to generative prompts and concept images. Moreover, evaluating multiple concepts is considerably more difficult than evaluating a single…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Reina Ishikawa , Ryo Fujii , Hideo Saito , Ryo Hachiuma

The Hidden Markov Model (HMM) is a widely-used statistical model for handling sequential data. However, the presence of missing observations in real-world datasets often complicates the application of the model. The EM algorithm and Gibbs…

Machine Learning · Statistics 2026-01-06 Dongrong Li , Tianwei Yu , Xiaodan Fan

The Collective Graphical Model (CGM) models a population of independent and identically distributed individuals when only collective statistics (i.e., counts of individuals) are observed. Exact inference in CGMs is intractable, and previous…

Machine Learning · Computer Science 2014-05-21 Li-Ping Liu , Daniel Sheldon , Thomas G. Dietterich

Probabilistic (or Bayesian) modeling and learning offers interesting possibilities for systematic representation of uncertainty using probability theory. However, probabilistic learning often leads to computationally challenging problems.…

Computation · Statistics 2018-03-14 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

The problem of sampling constrained continuous distributions has frequently appeared in many machine/statistical learning models. Many Monte Carlo Markov Chain (MCMC) sampling methods have been adapted to handle different types of…

Computation · Statistics 2023-02-21 Shiwei Lan , Lulu Kang

A valuable step in the modeling of multiscale dynamical systems in fields such as computational chemistry, biology, materials science and more, is the representative sampling of the phase space over long timescales of interest; this task is…

Machine Learning · Computer Science 2023-12-29 Ellis R. Crabtree , Juan M. Bello-Rivas , Ioannis G. Kevrekidis

The combinatorial sequential Monte Carlo (CSMC) has been demonstrated to be an efficient complementary method to the standard Markov chain Monte Carlo (MCMC) for Bayesian phylogenetic tree inference using biological sequences. It is…

Computation · Statistics 2020-08-12 Shijia Wang , Liangliang Wang

Maximum entropy (MaxEnt) modelling provides a principled framework for generating synthetic populations from aggregate census data, without access to individual-level microdata. The bottleneck of exact-enumeration approaches is expectation…

Machine Learning · Computer Science 2026-04-20 Mirko Degli Esposti

Recent TTS systems are able to generate prosodically varied and realistic speech. However, it is unclear how this prosodic variation contributes to the perception of speakers' emotional states. Here we use the recent psychological paradigm…

Human-Computer Interaction · Computer Science 2021-09-08 Pol van Rijn , Silvan Mertes , Dominik Schiller , Peter M. C. Harrison , Pauline Larrouy-Maestri , Elisabeth André , Nori Jacoby

Subjective responses from Multimedia Quality Assessment (MQA) experiments are conventionally analysed with methods not suitable for the data type these responses represent. Furthermore, obtaining subjective responses is resource intensive.…

Multimedia · Computer Science 2022-10-07 Jakub Nawała , Lucjan Janowski , Bogdan Ćmiel , Krzysztof Rusek , Pablo Pérez

In this paper we present an extension of population-based Markov chain Monte Carlo (MCMC) to the trans-dimensional case. One of the main challenges in MCMC-based inference is that of simulating from high and trans-dimensional target…

Computation · Statistics 2007-11-02 Ajay Jasra , David A. Stephens , Chris C. Holmes

Binary optimization has a wide range of applications in combinatorial optimization problems such as MaxCut, MIMO detection, and MaxSAT. However, these problems are typically NP-hard due to the binary constraints. We develop a novel…

Optimization and Control · Mathematics 2023-07-04 Cheng Chen , Ruitao Chen , Tianyou Li , Ruichen Ao , Zaiwen Wen

The bisimulation metric (BSM) is a powerful tool for computing state similarities within a Markov decision process (MDP), revealing that states closer in BSM have more similar optimal value functions. While BSM has been successfully…

Machine Learning · Computer Science 2025-11-04 Zhenyu Tao , Wei Xu , Xiaohu You

Conformal prediction constructs prediction sets with finite-sample coverage guarantees, but its calibration stage is structurally constrained to a scalar score function and a single threshold variable - forcing shapes of prediction sets to…

Machine Learning · Statistics 2026-05-13 Laura Lützow , Simone Garatti , Marco C. Campi , Lars Lindemann , Matthias Althoff

We consider Markov chain Monte Carlo (MCMC) algorithms for Bayesian high-dimensional regression with continuous shrinkage priors. A common challenge with these algorithms is the choice of the number of iterations to perform. This is…

Methodology · Statistics 2021-07-13 Niloy Biswas , Anirban Bhattacharya , Pierre E. Jacob , James E. Johndrow

Real world images frequently exhibit multiple overlapping biases, including textures, watermarks, gendered makeup, scene object pairings, etc. These biases collectively impair the performance of modern vision models, undermining both their…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Rajeev Ranjan Dwivedi , Ankur Kumar , Vinod K Kurmi

The inadequate mixing of conventional Markov Chain Monte Carlo (MCMC) methods for multi-modal distributions presents a significant challenge in practical applications such as Bayesian inference and molecular dynamics. Addressing this, we…

Machine Learning · Statistics 2024-05-30 Wenlin Chen , Mingtian Zhang , Brooks Paige , José Miguel Hernández-Lobato , David Barber
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