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Applications that require substantial computational resources today cannot avoid the use of heavily parallel machines. Embracing the opportunities of parallel computing and especially the possibilities provided by a new generation of…

Computational Physics · Physics 2017-09-14 Martin Weigel

We present PrecisionBatching, a quantized inference algorithm for speeding up neural network execution on traditional hardware platforms at low bitwidths without the need for retraining or recalibration. PrecisionBatching decomposes a…

Machine Learning · Computer Science 2020-03-03 Maximilian Lam , Zachary Yedidia , Colby Banbury , Vijay Janapa Reddi

We examine popular gradient-based algorithms for nonlinear control in the light of the modern complexity analysis of first-order optimization algorithms. The examination reveals that the complexity bounds can be clearly stated in terms of…

Optimization and Control · Mathematics 2019-08-22 Vincent Roulet , Siddhartha Srinivasa , Dmitriy Drusvyatskiy , Zaid Harchaoui

With the advent of GPU-assisted hardware and maturing high-efficiency software platforms such as TensorFlow and PyTorch, Bayesian posterior sampling for neural networks becomes plausible. In this article we discuss Bayesian parametrization…

Statistics Theory · Mathematics 2020-03-05 Frederik Heber , Zofia Trstanova , Benedict Leimkuhler

This paper presents an underlying framework for both automating and accelerating malware classification, more specifically, mapping malicious executables to known Advanced Persistent Threat (APT) groups. The main feature of this analysis is…

Cryptography and Security · Computer Science 2025-04-23 Noah Subedar , Taeui Kim , Saathwick Venkataramalingam

Deployment of real-time ML services on warehouse-scale infrastructures is on the increase. Therefore, decreasing latency and increasing throughput of deep neural network (DNN) inference applications that empower those services have…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-29 Seyed Morteza Nabavinejad , Masoumeh Ebrahimi , Sherief Reda

This paper presents a novel, high-performance, graphical processing unit-based algorithm for efficiently solving two-dimensional linear programs in batches. The domain of two-dimensional linear programs is particularly useful due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-14 John Charlton , Steve Maddock , Paul Richmond

We present a novel probabilistic programming framework that couples directly to existing large-scale simulators through a cross-platform probabilistic execution protocol, which allows general-purpose inference engines to record and control…

Model comparison and calibrated uncertainty quantification often require integrating over parameters, but scalable inference can be challenging for complex, multimodal targets. Nested Sampling is a robust alternative to standard MCMC, yet…

Computation · Statistics 2026-05-12 David Yallup , Namu Kroupa , Will Handley

Bayesian Neural Networks (BNNs) offer a principled and natural framework for proper uncertainty quantification in the context of deep learning. They address the typical challenges associated with conventional deep learning methods, such as…

Computation · Statistics 2024-11-13 Zahra Moslemi , Yang Meng , Shiwei Lan , Babak Shahbaba

It has been widely documented that the sampling and resampling steps in particle filters cannot be differentiated. The {\itshape reparameterisation trick} was introduced to allow the sampling step to be reformulated into a differentiable…

Machine Learning · Statistics 2022-08-10 Conor Rosato , Vincent Beraud , Paul Horridge , Thomas B. Schön , Simon Maskell

Integration over non-negative integrands is a central problem in machine learning (e.g. for model averaging, (hyper-)parameter marginalisation, and computing posterior predictive distributions). Bayesian Quadrature is a probabilistic…

Machine Learning · Statistics 2018-12-05 Ed Wagstaff , Saad Hamid , Michael Osborne

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

A method based on Bayesian neural networks and genetic algorithm is proposed to control the fermentation process. The relationship between input and output variables is modelled using Bayesian neural network that is trained using hybrid…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

Controlled branching processes are stochastic growth population models in which the number of individuals with reproductive capacity in each generation is controlled by a random control function. The purpose of this work is to examine the…

Methodology · Statistics 2019-07-03 M. González , R. Martínez , C. Minuesa , I. del Puerto

Gaussian process (GP) regression is a powerful probabilistic modeling technique with built-in uncertainty quantification. When one has access to multiple correlated simulations (tasks), it is common to fit a multitask GP (MTGP) surrogate…

Computation · Statistics 2026-03-18 Aleksei G. Sorokin , Pieterjan Robbe , Fred J. Hickernell

Matrix multiplication is a fundamental operation in both training of neural networks and inference. To accelerate matrix multiplication, Graphical Processing Units (GPUs) provide it implemented in hardware. Due to the increased throughput…

Mathematical Software · Computer Science 2026-04-07 Faizan A. Khattak , Mantas Mikaitis

Mini-batch algorithms have been proposed as a way to speed-up stochastic convex optimization problems. We study how such algorithms can be improved using accelerated gradient methods. We provide a novel analysis, which shows how standard…

Machine Learning · Computer Science 2011-06-24 Andrew Cotter , Ohad Shamir , Nathan Srebro , Karthik Sridharan

Monte Carlo methods use random sampling to estimate numerical quantities which are hard to compute deterministically. One important example is the use in statistical physics of rapidly mixing Markov chains to approximately compute partition…

Quantum Physics · Physics 2017-07-12 Ashley Montanaro

Gibbs sampling is the de facto Markov chain Monte Carlo method used for inference and learning on large scale graphical models. For complicated factor graphs with lots of factors, the performance of Gibbs sampling can be limited by the…

Machine Learning · Computer Science 2018-06-19 Christopher De Sa , Vincent Chen , Wing Wong