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Probabilistic modeling is iterative. A scientist posits a simple model, fits it to her data, refines it according to her analysis, and repeats. However, fitting complex models to large data is a bottleneck in this process. Deriving…

机器学习 · 统计学 2016-03-03 Alp Kucukelbir , Dustin Tran , Rajesh Ranganath , Andrew Gelman , David M. Blei

Approximate inference in high-dimensional, discrete probabilistic models is a central problem in computational statistics and machine learning. This paper describes discrete particle variational inference (DPVI), a new approach that…

机器学习 · 统计学 2015-12-08 Ardavan Saeedi , Tejas D Kulkarni , Vikash Mansinghka , Samuel Gershman

Tackling pattern recognition problems in areas such as computer vision, bioinformatics, speech or text recognition is often done best by taking into account task-specific statistical relations between output variables. In structured…

机器学习 · 统计学 2016-03-14 Rein Houthooft , Filip De Turck

Simulation-based inference has been popular for amortized Bayesian computation. It is typical to have more than one posterior approximation, from different inference algorithms, different architectures, or simply the randomness of…

统计方法学 · 统计学 2024-03-04 Yuling Yao , Bruno Régaldo-Saint Blancard , Justin Domke

As a computational alternative to Markov chain Monte Carlo approaches, variational inference (VI) is becoming more and more popular for approximating intractable posterior distributions in large-scale Bayesian models due to its comparable…

机器学习 · 统计学 2023-06-05 Anirban Bhattacharya , Debdeep Pati , Yun Yang

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

统计方法学 · 统计学 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

A framework to boost the efficiency of Bayesian inference in probabilistic programs is introduced by embedding a sampler inside a variational posterior approximation. We call it the refined variational approximation. Its strength lies both…

机器学习 · 计算机科学 2020-02-25 Victor Gallego , David Rios Insua

Stochastic optimization finds a wide range of applications in operations research and management science. However, existing stochastic optimization techniques usually require the information of random samples (e.g., demands in the…

最优化与控制 · 数学 2019-04-18 Xi Chen , Qihang Lin , Zizhuo Wang

We describe a limitation in the expressiveness of the predictive uncertainty estimate given by mean-field variational inference (MFVI), a popular approximate inference method for Bayesian neural networks. In particular, MFVI fails to give…

We consider approximate dynamic programming in $\gamma$-discounted Markov decision processes and apply it to approximate planning with linear value-function approximation. Our first contribution is a new variant of Approximate Policy…

机器学习 · 计算机科学 2022-10-31 Gellért Weisz , András György , Tadashi Kozuno , Csaba Szepesvári

Algorithms for exact and approximate inference in stochastic logic programs (SLPs) are presented, based respectively, on variable elimination and importance sampling. We then show how SLPs can be used to represent prior distributions for…

人工智能 · 计算机科学 2013-01-18 James Cussens

Stochastic variational inference (SVI) is emerging as the most promising candidate for scaling inference in Bayesian probabilistic models to large datasets. However, the performance of these methods has been assessed primarily in the…

机器学习 · 统计学 2015-06-29 Amar Shah , David A. Knowles , Zoubin Ghahramani

Variational inference is a popular technique to approximate a possibly intractable Bayesian posterior with a more tractable one. Recently, boosting variational inference has been proposed as a new paradigm to approximate the posterior by a…

机器学习 · 计算机科学 2018-03-08 Francesco Locatello , Rajiv Khanna , Joydeep Ghosh , Gunnar Rätsch

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

机器学习 · 统计学 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

We cast motion planning under uncertainty as a stochastic optimal control problem, where the optimal posterior distribution has an explicit form. To approximate this posterior, this work frames an optimization problem in the space of…

机器人学 · 计算机科学 2026-01-06 Zinuo Chang , Hongzhe Yu , Patricio Vela , Yongxin Chen

Variational inference (VI) has become the method of choice for fitting many modern probabilistic models. However, practitioners are faced with a fragmented literature that offers a bewildering array of algorithmic options. First, the…

机器学习 · 统计学 2018-11-29 Thang D. Bui , Cuong V. Nguyen , Siddharth Swaroop , Richard E. Turner

Bilevel optimization problems are receiving increasing attention in machine learning as they provide a natural framework for hyperparameter optimization and meta-learning. A key step to tackle these problems is the efficient computation of…

机器学习 · 统计学 2025-05-20 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo

Continual learning in neural networks aims to learn new tasks without forgetting old tasks. Sequential function-space variational inference (SFSVI) uses a Gaussian variational distribution to approximate the distribution of the outputs of…

机器学习 · 计算机科学 2025-05-28 Menghao Waiyan William Zhu , Pengcheng Hao , Ercan Engin Kuruoğlu

Simulation-Based Inference (SBI) is a common name for an emerging family of approaches that infer the model parameters when the likelihood is intractable. Existing SBI methods either approximate the likelihood, such as Approximate Bayesian…

机器学习 · 计算机科学 2023-11-29 Theo Gruner , Boris Belousov , Fabio Muratore , Daniel Palenicek , Jan Peters

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