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We describe a simple, low-level approach for embedding probabilistic programming in a deep learning ecosystem. In particular, we distill probabilistic programming down to a single abstraction---the random variable. Our lightweight…

While Model Predictive Control (MPC) delivers strong performance across robotics applications, solving the underlying (batches of) nonlinear trajectory optimization (TO) problems online remains computationally demanding. Existing…

Robotics · Computer Science 2026-05-11 Alexander Du , Emre Adabag , Gabriel Bravo-Palacios , Brian Plancher

Markov chain Monte Carlo (MCMC) methods are widely used in machine learning. One of the major problems with MCMC is the question of how to design chains that mix fast over the whole state space; in particular, how to select the parameters…

Machine Learning · Computer Science 2019-07-16 Kiarash Shaloudegi , András György

Markov chain Monte Carlo (MCMC) methods are a powerful but computationally expensive way of performing non-parametric Bayesian inference. MCMC proposals which utilise gradients, such as Hamiltonian Monte Carlo (HMC), can better explore the…

Computation · Statistics 2026-01-30 Andrew Millard , Joshua Murphy , Daniel Frisch , Simon Maskell

Transformers are central to advances in artificial intelligence (AI), excelling in fields ranging from computer vision to natural language processing. Despite their success, their large parameter count and computational demands challenge…

Hardware Architecture · Computer Science 2025-03-10 Qunyou Liu , Marina Zapater , David Atienza

Dynamic neural network toolkits such as PyTorch, DyNet, and Chainer offer more flexibility for implementing models that cope with data of varying dimensions and structure, relative to toolkits that operate on statically declared…

Machine Learning · Computer Science 2017-05-23 Graham Neubig , Yoav Goldberg , Chris Dyer

Efficient sampling of two-dimensional statistical physics systems remains a central challenge in computational statistical physics. Traditional Markov chain Monte Carlo (MCMC) methods, including cluster algorithms, provide only partial…

Statistical Mechanics · Physics 2025-09-24 Tao Chen , Jingtong Zhang , Jing Liu , Youjin Deng , Pan Zhang

Hamiltonian Monte Carlo provides efficient Markov transitions at the expense of introducing two free parameters: a step size and total integration time. Because the step size controls discretization error it can be readily tuned to achieve…

Methodology · Statistics 2013-04-09 M. J. Betancourt

As a language model that integrates traditional symbolic operations and flexible neural representations, recurrent neural network grammars (RNNGs) have attracted great attention from both scientific and engineering perspectives. However,…

Computation and Language · Computer Science 2021-06-01 Hiroshi Noji , Yohei Oseki

In this work, we present a MCTS-based Go-playing program which uses convolutional networks in all parts. Our method performs MCTS in batches, explores the Monte Carlo search tree using Thompson sampling and a convolutional network, and…

Machine Learning · Computer Science 2015-12-11 Peter H. Jin , Kurt Keutzer

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

We develop adaptive replicated designs for Gaussian process metamodels of stochastic experiments. Adaptive batching is a natural extension of sequential design heuristics with the benefit of replication growing as response features are…

Machine Learning · Statistics 2021-07-14 Xiong Lyu , Mike Ludkovski

Neural networks (NNs) have demonstrated their potential in a wide range of applications such as image recognition, decision making or recommendation systems. However, standard NNs are unable to capture their model uncertainty which is…

Hardware Architecture · Computer Science 2021-12-02 Hongxiang Fan , Martin Ferianc , Miguel Rodrigues , Hongyu Zhou , Xinyu Niu , Wayne Luk

Computational inference of causal relationships underlying complex networks, such as gene-regulatory pathways, is NP-complete due to its combinatorial nature when permuting all possible interactions. Markov chain Monte Carlo (MCMC) has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-19 Yu Wang , Weikang Qian , Shuchang Zhang , Bo Yuan

Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo (MCMC) algorithm that avoids the random walk behavior and sensitivity to correlated parameters that plague many MCMC methods by taking a series of steps informed by first-order…

Computation · Statistics 2015-03-19 Matthew D. Hoffman , Andrew Gelman

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

Robotics · Computer Science 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

In neural network topologies, algorithms are running on batches of data tensors. The batches of data are typically scheduled onto the computing cores which execute in parallel. For the algorithms running on batches of data, an optimal batch…

Performance · Computer Science 2020-02-18 Phani Kumar Nyshadham , Mohit Sinha , Biswajit Mishra , H S Vijay

Recent developments in parallel Markov chain Monte Carlo (MCMC) algorithms allow us to run thousands of chains almost as quickly as a single chain, using hardware accelerators such as GPUs. While each chain still needs to forget its initial…

Coordinating growing grid flexibility under uncertainty is becoming increasingly important for efficient and reliable power-system operation. A core computational requirement is the efficient large-scale batched evaluation of AC power flow…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Yihong Zhou , Dylan Cope , Jakob Foerster , Thomas Morstyn

There is substantial empirical evidence about the success of dynamic implementations of Hamiltonian Monte Carlo (HMC), such as the No U-Turn Sampler (NUTS), in many challenging inference problems but theoretical results about their behavior…

Computation · Statistics 2024-10-21 Alain Durmus , Samuel Gruffaz , Miika Kailas , Eero Saksman , Matti Vihola
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