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Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

Computation · Statistics 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

We propose Continual Repeated Annealed Flow Transport Monte Carlo (CRAFT), a method that combines a sequential Monte Carlo (SMC) sampler (itself a generalization of Annealed Importance Sampling) with variational inference using normalizing…

Machine Learning · Statistics 2023-04-07 Alexander G. D. G. Matthews , Michael Arbel , Danilo J. Rezende , Arnaud Doucet

Sampling from posterior distributions using Markov chain Monte Carlo (MCMC) methods can require an exhaustive number of iterations, particularly when the posterior is multi-modal as the MCMC sampler can become trapped in a local mode for a…

Methodology · Statistics 2019-10-30 Christopher Nemeth , Fredrik Lindsten , Maurizio Filippone , James Hensman

By facilitating the generation of samples from arbitrary probability distributions, Markov Chain Monte Carlo (MCMC) is, arguably, \emph{the} tool for the evaluation of Bayesian inference problems that yield non-standard posterior…

Computation · Statistics 2021-05-27 Peter L Green , Robert E Moore , Ryan J Jackson , Jinglai Li , Simon Maskell

Performing Bayesian inference via Markov chain Monte Carlo (MCMC) can be exceedingly expensive when posterior evaluations invoke the evaluation of a computationally expensive model, such as a system of partial differential equations. In…

Computation · Statistics 2017-12-27 Patrick Conrad , Andrew Davis , Youssef Marzouk , Natesh Pillai , Aaron Smith

PyVBMC is a Python implementation of the Variational Bayesian Monte Carlo (VBMC) algorithm for posterior and model inference for black-box computational models (Acerbi, 2018, 2020). VBMC is an approximate inference method designed for…

Machine Learning · Statistics 2023-06-29 Bobby Huggins , Chengkun Li , Marlon Tobaben , Mikko J. Aarnos , Luigi Acerbi

We present an implementation of interval analysis and mixed monotone interval reachability analysis as function transforms in Python, fully composable with the computational framework JAX. The resulting toolbox inherits several key features…

Systems and Control · Electrical Eng. & Systems 2024-05-02 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

Generative artificial intelligence (AI) has made unprecedented advances in vision language models over the past two years. During the generative process, new samples (images) are generated from an unknown high-dimensional distribution.…

Graphics · Computer Science 2025-10-13 Gurprit Singh , Wenzel Jakob

AlfaMC is a Monte Carlo simulation code for the transport of alpha particles. The code is based on the Continuous Slowing Down Approximation and uses the NIST/ASTAR stopping-power database. The code uses a powerful geometrical package…

Computational Physics · Physics 2017-11-07 Luis Peralta , Alina Louro

Modern ML methods excel when training data is IID, large-scale, and well labeled. Learning in less ideal conditions remains an open challenge. The sub-fields of few-shot, continual, transfer, and representation learning have made…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Matthew Wallingford , Aditya Kusupati , Keivan Alizadeh-Vahid , Aaron Walsman , Aniruddha Kembhavi , Ali Farhadi

Point cloud upsampling aims to generate dense point clouds from given sparse ones, which is a challenging task due to the irregular and unordered nature of point sets. To address this issue, we present a novel deep learning-based model,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Aihua Mao , Zihui Du , Junhui Hou , Yaqi Duan , Yong-jin Liu , Ying He

This paper introduces \textsc{FuzzyLogic.jl}, a Julia library to perform fuzzy inference. The library is fully open-source and released under a permissive license. The core design principles of the library are: user-friendliness,…

Artificial Intelligence · Computer Science 2024-06-21 Luca Ferranti , Jani Boutellier

Bayesian Inference offers principled tools to tackle many critical problems with modern neural networks such as poor calibration and generalization, and data inefficiency. However, scaling Bayesian inference to large architectures is…

Striking an optimal balance between minimal drafting latency and high speculation accuracy to enhance the inference speed of Large Language Models remains a significant challenge in speculative decoding. In this paper, we introduce Falcon,…

Computation and Language · Computer Science 2025-04-23 Xiangxiang Gao , Weisheng Xie , Yiwei Xiang , Feng Ji

We propose a novel sampling-based federated learning framework for statistical inference on M-estimators with non-smooth objective functions, which frequently arise in modern statistical applications such as quantile regression and AUC…

Methodology · Statistics 2025-05-06 Xiudi Li , Lu Tian , Tianxi Cai

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes equations describe fluid flows and are representative of nonlinear physical systems with complex spatio-temporal interactions. Fluid flows are…

Fluid Dynamics · Physics 2022-10-05 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

With the advent of automatic vectorization tools (e.g., JAX's $\texttt{vmap}$), writing multi-chain MCMC algorithms is often now as simple as invoking those tools on single-chain code. Whilst convenient, for various MCMC algorithms this…

Mathematical Software · Computer Science 2025-07-03 Hugh Dance , Pierre Glaser , Peter Orbanz , Ryan Adams

Today, cheap numerical hardware offers huge amounts of parallel computing power, much of which is used for the task of fitting neural networks to data. Adoption of this hardware to accelerate statistical Markov chain Monte Carlo (MCMC)…

Computation · Statistics 2024-11-08 Pavel Sountsov , Colin Carroll , Matthew D. Hoffman

Multimodal classification requires robust integration of visual and textual signals, yet common fusion strategies are brittle and vulnerable to modality-specific noise. In this paper, we present \textsc{FLUID}-Flow-Latent Unified…

Social and Information Networks · Computer Science 2025-08-18 Van Duc Cuong , Ta Dinh Tam , Tran Duc Chinh , Nguyen Thi Hanh

Traditional Markov chain Monte Carlo (MCMC) sampling of hidden Markov models (HMMs) involves latent states underlying an imperfect observation process, and generates posterior samples for top-level parameters concurrently with nuisance…

Computation · Statistics 2016-01-13 Daniel Turek , Perry de Valpine , Christopher J. Paciorek