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Stochastic variational inference (SVI) lets us scale up Bayesian computation to massive data. It uses stochastic optimization to fit a variational distribution, following easy-to-compute noisy natural gradients. As with most traditional…

机器学习 · 统计学 2014-11-19 Stephan Mandt , David Blei

Two optimization algorithms are proposed for solving a stochastic programming problem for which the objective function is given in the form of the expectation of convex functions and the constraint set is defined by the intersection of…

最优化与控制 · 数学 2017-10-09 Hideaki Iiduka

Stochastic variational inference for collapsed models has recently been successfully applied to large scale topic modelling. In this paper, we propose a stochastic collapsed variational inference algorithm for hidden Markov models, in a…

机器学习 · 统计学 2015-12-08 Pengyu Wang , Phil Blunsom

Decentralized coordination for multi-robot systems involves planning in challenging, high-dimensional spaces. The planning problem is particularly challenging in the presence of obstacles and different sources of uncertainty such as…

机器人学 · 计算机科学 2024-03-13 Jana Pavlasek , Joshua Jing Zhi Mah , Ruihan Xu , Odest Chadwicke Jenkins , Fabio Ramos

The recognition network in deep latent variable models such as variational autoencoders (VAEs) relies on amortized inference for efficient posterior approximation that can scale up to large datasets. However, this technique has also been…

机器学习 · 统计学 2019-02-28 Rui Shu , Hung H. Bui , Jay Whang , Stefano Ermon

We introduce a class of generic spike-and-slab priors for high-dimensional linear regression with grouped variables and present a Coordinate-ascent Variational Inference (CAVI) algorithm for obtaining an optimal variational Bayes…

统计方法学 · 统计学 2023-10-02 Buyu Lin , Changhao Ge , Jun S. Liu

A plethora of recent research has focused on improving the memory footprint and inference speed of deep networks by reducing the complexity of (i) numerical representations (for example, by deterministic or stochastic quantization) and (ii)…

机器学习 · 计算机科学 2019-04-05 David Hartmann , Michael Wand

We consider monotone inclusion problems where the operators may be expectation-valued, a class of problems that subsumes convex stochastic optimization problems as well as subclasses of stochastic variational inequality and equilibrium…

最优化与控制 · 数学 2021-10-19 Shisheng Cui , Uday V. Shanbhag

Performance variability management is an active research area in high-performance computing (HPC). We focus on input/output (I/O) variability. To study the performance variability, computer scientists often use grid-based designs (GBDs) to…

应用统计 · 统计学 2022-01-25 Yueyao Wang , Li Xu , Yili Hong , Rong Pan , Tyler Chang , Thomas Lux , Jon Bernard , Layne Watson , Kirk Cameron

This paper addresses the problem of planning under uncertainty in large Markov Decision Processes (MDPs). Factored MDPs represent a complex state space using state variables and the transition model using a dynamic Bayesian network. This…

人工智能 · 计算机科学 2011-06-10 C. Guestrin , D. Koller , R. Parr , S. Venkataraman

Conservative inference is a major concern in simulation-based inference. It has been shown that commonly used algorithms can produce overconfident posterior approximations. Balancing has empirically proven to be an effective way to mitigate…

The problem of sparse approximation and the closely related compressed sensing have received tremendous attention in the past decade. Primarily studied from the viewpoint of applied harmonic analysis and signal processing, there have been…

信息论 · 计算机科学 2018-10-23 Ali Çivril

We extend the existing framework of semi-implicit variational inference (SIVI) and introduce doubly semi-implicit variational inference (DSIVI), a way to perform variational inference and learning when both the approximate posterior and the…

机器学习 · 统计学 2019-03-19 Dmitry Molchanov , Valery Kharitonov , Artem Sobolev , Dmitry Vetrov

Recent work used importance sampling ideas for better variational bounds on likelihoods. We clarify the applicability of these ideas to pure probabilistic inference, by showing the resulting Importance Weighted Variational Inference (IWVI)…

机器学习 · 计算机科学 2018-10-30 Justin Domke , Daniel Sheldon

Recent advances in artificial intelligence have enabled the generation of large-scale, low-cost predictions with increasingly high fidelity. As a result, the primary challenge in statistical inference has shifted from data scarcity to data…

统计理论 · 数学 2026-02-12 Shirong Xu , Will Wei Sun

Inference-time optimization scales computation to derive deliberate reasoning steps for effective performance. While previous search-based strategies address the short-sightedness of auto-regressive generation, the vast search space leads…

机器学习 · 计算机科学 2025-03-18 Fangzhi Xu , Hang Yan , Chang Ma , Haiteng Zhao , Jun Liu , Qika Lin , Zhiyong Wu

Basis Function (BF) expansions are a cornerstone of any engineer's toolbox for computational function approximation which shares connections with both neural networks and Gaussian processes. Even though BF expansions are an intuitive and…

信号处理 · 电气工程与系统科学 2024-08-15 Anton Kullberg , Frida Viset , Isaac Skog , Gustaf Hendeby

Discrete optimization is a central problem in artificial intelligence. The optimization of the aggregated cost of a network of cost functions arises in a variety of problems including (W)CSP, DCOP, as well as optimization in stochastic…

人工智能 · 计算机科学 2018-01-12 Ferdinando Fioretto , Enrico Pontelli , William Yeoh , Rina Dechter

We cast episodic Markov decision process (MDP) planning as Bayesian inference over policies. A policy is treated as the latent variable and is assigned an unnormalized probability of optimality that is monotone in its expected return,…

机器学习 · 计算机科学 2026-04-14 David Tolpin

Feature attribution methods, or saliency maps, are one of the most popular approaches for explaining the decisions of complex machine learning models such as deep neural networks. In this study, we propose a stochastic optimization approach…

机器学习 · 统计学 2018-07-17 Kouichi Ikeno , Satoshi Hara
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