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We analyse computational efficiency of Metropolis-Hastings algorithms with AR(1) process proposals. These proposals include, as a subclass, discretized Langevin diffusion (e.g. MALA) and discretized Hamiltonian dynamics (e.g. HMC). By…

Probability · Mathematics 2015-01-15 Richard A. Norton , Colin Fox

To balance effectiveness and efficiency in recommender systems, multi-stage pipelines commonly use lightweight two-tower models for large-scale candidate retrieval. However, the isolated two-tower architecture restricts representation…

Information Retrieval · Computer Science 2026-04-22 Lixiang Wang , Shaoyun Shi , Peng Wang , Wenjin Wu , Peng Jiang

Iterative methods are commonly used approaches to solve large, sparse linear systems, which are fundamental operations for many modern scientific simulations. When the large-scale iterative methods are running with a large number of ranks…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-30 Dingwen Tao , Sheng Di , Xin Liang , Zizhong Chen , Franck Cappello

We present a Metropolis-Hastings Markov chain Monte Carlo (MCMC) algorithm for detecting hidden variables in a continuous time Bayesian network (CTBN), which uses reversible jumps in the sense defined by (Green 1995). In common with several…

Methodology · Statistics 2014-03-18 Blazej Miasojedow , Wojciech Niemiro , John Noble , Krzysztof Opalski

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to conduct such sampling, but such a method can converge…

Applications · Statistics 2019-10-29 Belhal Karimi , Marc Lavielle

We present the simplicial sampler, a class of parallel MCMC methods that generate and choose from multiple proposals at each iteration. The algorithm's multiproposal randomly rotates a simplex connected to the current Markov chain state in…

Computation · Statistics 2022-09-15 Andrew J. Holbrook

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

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

We propose a novel Continuation Multi Level Monte Carlo (CMLMC) algorithm for weak approximation of stochastic models. The CMLMC algorithm solves the given approximation problem for a sequence of decreasing tolerances, ending when the…

Numerical Analysis · Mathematics 2015-05-22 Nathan Collier , Abdul-Lateef Haji-Ali , Fabio Nobile , Erik von Schwerin , Raul Tempone

Recent research has led to the development of MCMC algorithms with likelihood-informed proposals when targeting posterior distributions supported on discrete state spaces. Our work is placed within this field and puts forward a new MCMC…

Methodology · Statistics 2026-05-22 Luca Aiello , Raffaele Argiento , Alexandros Beskos , Maria De Iorio

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

We propose a novel sampling framework for inference in probabilistic models: an active learning approach that converges more quickly (in wall-clock time) than Markov chain Monte Carlo (MCMC) benchmarks. The central challenge in…

Machine Learning · Statistics 2014-11-04 Tom Gunter , Michael A. Osborne , Roman Garnett , Philipp Hennig , Stephen J. Roberts

Bayesian analysis is widely used in science and engineering for real-time forecasting, decision making, and to help unravel the processes that explain the observed data. These data are some deterministic and/or stochastic transformations of…

Optimization and Control · Mathematics 2020-02-24 Jiangjiang Zhang , Jasper A. Vrugt , Xiaoqing Shi , Guang Lin , Lingzao Zeng , Laosheng Wu

This paper is concerned with solving chance-constrained finite-horizon optimal control problems, with a particular focus on the recursive feasibility issue of stochastic model predictive control (SMPC) in terms of mission-wide probability…

Optimization and Control · Mathematics 2022-09-21 Kai Wang , Sebastien Gros

We consider inverse problems with linear forward models and Gaussian priors, but with unknown hyperparameters that may arise from the model, the noise, or the specification of the prior. We model this using a hierarchical Bayes framework…

Numerical Analysis · Mathematics 2026-05-14 Elle Buser , Julianne Chung , Hugo Díaz , Arvind K. Saibaba

Modern computer designs support composite prefetching, where multiple individual prefetcher components are used to target different memory access patterns. However, multiple prefetchers competing for resources can drastically hurt…

Hardware Architecture · Computer Science 2023-07-18 Erika S. Alcorta , Mahesh Madhav , Scott Tetrick , Neeraja J. Yadwadkar , Andreas Gerstlauer

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

There is increasing interest to develop Bayesian inferential algorithms for point process models with intractable likelihoods. A purpose of this paper is to illustrate the utility of using simulation based strategies, including Approximate…

Computation · Statistics 2026-02-02 Chaoyi Lu , Nial Friel

Particle Metropolis-Hastings (PMH) allows for Bayesian parameter inference in nonlinear state space models by combining Markov chain Monte Carlo (MCMC) and particle filtering. The latter is used to estimate the intractable likelihood. In…

Computation · Statistics 2016-04-01 Johan Dahlin , Fredrik Lindsten , Thomas B. Schön

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

We introduce Progressive Prompts - a simple and efficient approach for continual learning in language models. Our method allows forward transfer and resists catastrophic forgetting, without relying on data replay or a large number of…

Computation and Language · Computer Science 2023-01-31 Anastasia Razdaibiedina , Yuning Mao , Rui Hou , Madian Khabsa , Mike Lewis , Amjad Almahairi