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The mean field variational inference (MFVI) formulation restricts the general Bayesian inference problem to the subspace of product measures. We present a framework to analyze MFVI algorithms, which is inspired by a similar development for…

机器学习 · 统计学 2022-10-21 Soumyadip Ghosh , Yingdong Lu , Tomasz Nowicki , Edith Zhang

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

最优化与控制 · 数学 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

We empirically evaluate a stochastic annealing strategy for Bayesian posterior optimization with variational inference. Variational inference is a deterministic approach to approximate posterior inference in Bayesian models in which a…

机器学习 · 统计学 2015-05-26 San Gultekin , Aonan Zhang , John Paisley

We present a new algorithm for approximate inference in probabilistic programs, based on a stochastic gradient for variational programs. This method is efficient without restrictions on the probabilistic program; it is particularly…

机器学习 · 统计学 2013-01-08 David Wingate , Theophane Weber

Black-box variational inference is widely used in situations where there is no proof that its stochastic optimization succeeds. We suggest this is due to a theoretical gap in existing stochastic optimization proofs: namely the challenge of…

机器学习 · 计算机科学 2023-12-25 Justin Domke , Guillaume Garrigos , Robert Gower

Black-box optimization is primarily important for many compute-intensive applications, including reinforcement learning (RL), robot control, etc. This paper presents a novel theoretical framework for black-box optimization, in which our…

机器学习 · 计算机科学 2020-09-10 Yueming Lyu , Ivor W. Tsang

Machine learning models are becoming increasingly popular in different types of settings. This is mainly caused by their ability to achieve a level of predictive performance that is hard to match by human experts in this new era of big…

机器学习 · 计算机科学 2021-09-20 Luis Torgo , Paulo Azevedo , Ines Areosa

Bayesian optimization is a sample-efficient method for solving expensive, black-box optimization problems. Stochastic programming concerns optimization under uncertainty where, typically, average performance is the quantity of interest. In…

机器学习 · 统计学 2025-02-19 Jack M. Buckingham , Ivo Couckuyt , Juergen Branke

Geoscientists use observed data to estimate properties of the Earth's interior. This often requires non-linear inverse problems to be solved and uncertainties to be estimated. Bayesian inference solves inverse problems under a probabilistic…

地球物理 · 物理学 2024-01-01 Xuebin Zhao , Andrew Curtis

This paper provides a comprehensive analysis of variational inference in latent variable models for survival analysis, emphasizing the distinctive challenges associated with applying variational methods to survival data. We identify a…

机器学习 · 计算机科学 2025-06-05 Chuanhui Liu , Xiao Wang

Mean-field variational inference is a method for approximate Bayesian posterior inference. It approximates a full posterior distribution with a factorized set of distributions by maximizing a lower bound on the marginal likelihood. This…

机器学习 · 计算机科学 2012-07-03 John Paisley , David Blei , Michael Jordan

Continuous optimization is an important problem in many areas of AI, including vision, robotics, probabilistic inference, and machine learning. Unfortunately, most real-world optimization problems are nonconvex, causing standard convex…

人工智能 · 计算机科学 2016-11-10 Abram L. Friesen , Pedro Domingos

We exploit the observation that stochastic variational inference (SVI) is a form of annealing and present a modified SVI approach -- applicable to both large and small datasets -- that allows the amount of annealing done by SVI to be tuned.…

机器学习 · 计算机科学 2025-11-17 John Paisley , Ghazal Fazelnia , Brian Barr

An adversary who aims to steal a black-box model repeatedly queries the model via a prediction API to learn a function that approximates its decision boundary. Adversarial approximation is non-trivial because of the enormous combinations of…

密码学与安全 · 计算机科学 2020-06-30 Abdullah Ali , Birhanu Eshete

In recent years, Deep Neural Networks (DNNs) have become increasingly integral to IoT-based environments, enabling realtime visual computing. However, the limited computational capacity of these devices has motivated the adoption of…

密码学与安全 · 计算机科学 2026-04-29 Shima Yousefi , Motahare Mounesan , Saptarshi Debroy

Inverse problems of partial differential equations are ubiquitous across various scientific disciplines and can be formulated as statistical inference problems using Bayes' theorem. To address large-scale problems, it is crucial to develop…

数值分析 · 数学 2025-12-23 Yang Zhao , Haoyu Lu , Junxiong Jia , Tao Zhou

In many important design problems, some decisions should be made by finding the global optimum of a multiextremal objective function subject to a set of constrains. Frequently, especially in engineering applications, the functions involved…

最优化与控制 · 数学 2015-09-17 Dmitri E. Kvasov , Yaroslav D. Sergeyev

Modern neural network architectures have achieved remarkable accuracies but remain highly dependent on their training data, often lacking interpretability in their learned mappings. While effective on large datasets, they tend to overfit on…

机器学习 · 计算机科学 2025-03-19 Pavia Bera , Sanjukta Bhanja

Inference networks of traditional Variational Autoencoders (VAEs) are typically amortized, resulting in relatively inaccurate posterior approximation compared to instance-wise variational optimization. Recent semi-amortized approaches were…

机器学习 · 计算机科学 2020-11-18 Minyoung Kim , Vladimir Pavlovic

We consider the problem of fitting variational posterior approximations using stochastic optimization methods. The performance of these approximations depends on (1) how well the variational family matches the true posterior…