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We propose a new sampling method, the thermostat-assisted continuously-tempered Hamiltonian Monte Carlo, for Bayesian learning on large datasets and multimodal distributions. It simulates the Nos\'e-Hoover dynamics of a…

Machine Learning · Statistics 2019-01-29 Rui Luo , Jianhong Wang , Yaodong Yang , Zhanxing Zhu , Jun Wang

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

Methodology · Statistics 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

Many recent machine learning models rely on fine-grained dynamic control flow for training and inference. In particular, models based on recurrent neural networks and on reinforcement learning depend on recurrence relations, data-dependent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Yuan Yu , Martín Abadi , Paul Barham , Eugene Brevdo , Mike Burrows , Andy Davis , Jeff Dean , Sanjay Ghemawat , Tim Harley , Peter Hawkins , Michael Isard , Manjunath Kudlur , Rajat Monga , Derek Murray , Xiaoqiang Zheng

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

Computation · Statistics 2010-11-15 Jason Wyse , Nial Friel

We present MOGPTK, a Python package for multi-channel data modelling using Gaussian processes (GP). The aim of this toolkit is to make multi-output GP (MOGP) models accessible to researchers, data scientists, and practitioners alike. MOGPTK…

Machine Learning · Statistics 2020-02-11 Taco de Wolff , Alejandro Cuevas , Felipe Tobar

Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

Machine Learning · Statistics 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

Despite recent advances, sampling-based inference for Bayesian Neural Networks (BNNs) remains a significant challenge in probabilistic deep learning. While sampling-based approaches do not require a variational distribution assumption,…

Machine Learning · Computer Science 2025-02-11 Emanuel Sommer , Jakob Robnik , Giorgi Nozadze , Uros Seljak , David Rügamer

Posterior sampling by Monte Carlo methods provides a more comprehensive solution approach to inverse problems than computing point estimates such as the maximum posterior using optimization methods, at the expense of usually requiring many…

Numerical Analysis · Mathematics 2024-11-28 Paolo Villani , Daniel Andrés-Arcones , Jörg F. Unger , Martin Weiser

In this work we present an "out-of-the-box" application of Machine Learning (ML) optimizers for an industrial optimization problem. We introduce a piecewise polynomial model (spline) for fitting of $\mathcal{C}^k$-continuos functions, which…

Machine Learning · Computer Science 2023-03-23 Stefan Huber , Hannes Waclawek

The TensorFlow Distributions library implements a vision of probability theory adapted to the modern deep-learning paradigm of end-to-end differentiable computation. Building on two basic abstractions, it offers flexible building blocks for…

Thompson sampling (TS) is a popular heuristic for action selection, but it requires sampling from a posterior distribution. Unfortunately, this can become computationally intractable in complex environments, such as those modeled using…

We consider the problem of Bayesian parameter estimation for deep neural networks, which is important in problem settings where we may have little data, and/ or where we need accurate posterior predictive densities, e.g., for applications…

Machine Learning · Computer Science 2015-11-10 Anoop Korattikara , Vivek Rathod , Kevin Murphy , Max Welling

Surrogate models have become ubiquitous in science and engineering for their capability of emulating expensive computer codes, necessary to model and investigate complex phenomena. Bayesian emulators based on Gaussian processes adequately…

Computation · Statistics 2017-08-02 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

Thompson sampling is an efficient algorithm for sequential decision making, which exploits the posterior uncertainty to address the exploration-exploitation dilemma. There has been significant recent interest in integrating Bayesian neural…

Machine Learning · Statistics 2020-08-07 Zhendong Wang , Mingyuan Zhou

In conducting non-linear dimensionality reduction and feature learning, it is common to suppose that the data lie near a lower-dimensional manifold. A class of model-based approaches for such problems includes latent variables in an unknown…

Machine Learning · Statistics 2020-08-20 Deborshee Sen , Theodore Papamarkou , David Dunson

Machine learning has changed the computing paradigm. Products today are built with machine intelligence as a central attribute, and consumers are beginning to expect near-human interaction with the appliances they use. However, much of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-07 Xingzhou Zhang , Yifan Wang , Weisong Shi

We propose a sampling algorithm to perform system identification from a set of input-output graph signal pairs. The dynamics of the systems we study are given by a partially known adjacency matrix and a generic parametric graph filter of…

Signal Processing · Electrical Eng. & Systems 2024-01-01 Martín Sevilla , Santiago Segarra

This article proposes a Bayesian approach to regression with a scalar response against vector and tensor covariates. Tensor covariates are commonly vectorized prior to analysis, failing to exploit the structure of the tensor, and resulting…

Methodology · Statistics 2015-09-23 Rajarshi Guhaniyogi , Shaan Qamar , David B. Dunson

TensorFlow is an interface for expressing machine learning algorithms, and an implementation for executing such algorithms. A computation expressed using TensorFlow can be executed with little or no change on a wide variety of heterogeneous…

Thompson sampling for multi-armed bandit problems is known to enjoy favorable performance in both theory and practice. However, it suffers from a significant limitation computationally, arising from the need for samples from posterior…

Machine Learning · Computer Science 2020-06-19 Eric Mazumdar , Aldo Pacchiano , Yi-an Ma , Peter L. Bartlett , Michael I. Jordan