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Distributed learning methods have gained substantial momentum in recent years, with communication overhead often emerging as a critical bottleneck. Gradient compression techniques alleviate communication costs but involve an inherent…

Machine Learning · Computer Science 2025-07-09 Ze'ev Zukerman , Bassel Hamoud , Kfir Y. Levy

This paper surveys in detail the relations between numerical integration and the Hamiltonian (or hybrid) Monte Carlo method (HMC). Since the computational cost of HMC mainly lies in the numerical integrations, these should be performed as…

Probability · Mathematics 2020-07-21 Nawaf Bou-Rabee , Jesús María Sanz-Serna

Recent research in information extraction (IE) focuses on utilizing code-style inputs to enhance structured output generation. The intuition behind this is that the programming languages (PLs) inherently exhibit greater structural…

Computation and Language · Computer Science 2025-05-23 Bo Li , Gexiang Fang , Wei Ye , Zhenghua Xu , Jinglei Zhang , Hao Cheng , Shikun Zhang

Modern implementations of Hamiltonian Monte Carlo and related MCMC algorithms support sampling of probability functions that embed numerical root-finding algorithms, thereby allowing fitting of statistical models involving analytically…

Computation · Statistics 2025-06-19 Teddy Groves , Nicholas Luke Cowie , Lars Keld Nielsen

The evaluation of one-loop matrix elements is one of the main bottlenecks in precision calculations for the high-luminosity phase of the Large Hadron Collider. To alleviate this problem, a new C++ interface to the MCFM parton-level Monte…

High Energy Physics - Phenomenology · Physics 2022-01-05 John M Campbell , Stefan Höche , Christian T Preuss

We present MadFlow, a first general multi-purpose framework for Monte Carlo (MC) event simulation of particle physics processes designed to take full advantage of hardware accelerators, in particular, graphics processing units (GPUs). The…

Computational Physics · Physics 2021-08-18 Stefano Carrazza , Juan Cruz-Martinez , Marco Rossi , Marco Zaro

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) method for performing approximate inference in complex probabilistic models of continuous variables. In common with many MCMC methods, however, the standard HMC…

Computation · Statistics 2017-04-12 Matthew M. Graham , Amos J. Storkey

Markov chain Monte Carlo (MCMC) algorithms offer various strategies for sampling; the Hamiltonian Monte Carlo (HMC) family of samplers are MCMC algorithms which often exhibit improved mixing properties. The recently introduced magnetic HMC,…

Machine Learning · Statistics 2020-10-16 James A. Brofos , Roy R. Lederman

Hamiltonian Monte Carlo (HMC) sampling methods provide a mechanism for defining distant proposals with high acceptance probabilities in a Metropolis-Hastings framework, enabling more efficient exploration of the state space than standard…

Methodology · Statistics 2014-05-13 Tianqi Chen , Emily B. Fox , Carlos Guestrin

Recently, the Hamilton Monte Carlo (HMC) has become widespread as one of the more reliable approaches to efficient sample generation processes. However, HMC is difficult to sample in a multimodal posterior distribution because the HMC chain…

Computation · Statistics 2020-06-22 Jonghyun Yun , Minsuk Shin , Ick Hoon Jin , Faming Liang

This paper focuses on signal processing tasks in which the signal is transformed from the signal space to a higher dimensional coefficient space (also called phase space) using a continuous frame, processed in the coefficient space, and…

Numerical Analysis · Mathematics 2021-09-14 Ron Levie , Haim Avron

High Energy Physics (HEP) experiments, for example at the Large Hadron Collider (LHC) at CERN, store data at exabyte scale in sets of files. They use a binary columnar data format by the ROOT framework, that also transparently compresses…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-21 Jonas Hahnfeld , Jakob Blomer , Thorsten Kollegger

The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

Mathematical Software · Computer Science 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

Hybrid Monte Carlo is a powerful Markov Chain Monte Carlo method for sampling from complex continuous distributions. However, a major limitation of HMC is its inability to be applied to discrete domains due to the lack of gradient signal.…

Machine Learning · Computer Science 2021-03-02 Priyank Jaini , Didrik Nielsen , Max Welling

Task environments developed in Minecraft are becoming increasingly popular for artificial intelligence (AI) research. However, most of these are currently constructed manually, thus failing to take advantage of procedural content generation…

Artificial Intelligence · Computer Science 2023-01-09 Adarsh Pyarelal , Aditya Banerjee , Kobus Barnard

Semi-supervised classification leverages both labeled and unlabeled data to improve predictive performance, but existing software support remains fragmented across methods, learning settings, and data modalities. We introduce ModSSC, an…

Machine Learning · Computer Science 2026-02-17 Melvin Barbaux , Samia Boukir

Multilevel Monte Carlo (MLMC) is a flexible and effective variance reduction technique for accelerating reliability assessments of complex power system. Recently, data-driven surrogate models have been proposed as lower-level models in the…

Machine Learning · Computer Science 2025-07-31 Ruiqi Zhang , Simon H. Tindemans

This paper proposes Monte Carlo Action Programming, a programming language framework for autonomous systems that act in large probabilistic state spaces with high branching factors. It comprises formal syntax and semantics of a…

Artificial Intelligence · Computer Science 2017-03-01 Lenz Belzner

To address the challenge of performance portability, and facilitate the implementation of electronic structure solvers, we developed the Basic Matrix Library (BML) and Parallel, Rapid O(N) and Graph-based Recursive Electronic Structure…

Terrorist activities often exhibit temporal and spatial clustering, making the multivariate Hawkes process (MHP) a useful statistical model for analysing terrorism across different geographic regions. However, terror attack data from the…

Methodology · Statistics 2025-03-27 Jason J. Lambe , Feng Chen , Tom Stindl , Tsz-Kit Jeffrey Kwan