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We propose a method to approximate the distribution of robot configurations satisfying multiple objectives. Our approach uses variational inference, a popular method in Bayesian computation, which has several advantages over sampling-based…

机器人学 · 计算机科学 2019-11-25 Emmanuel Pignat , Teguh Lembono , Sylvain Calinon

This paper introduces a convenient strategy for coding and predicting sequences of independent, identically distributed random variables generated from a large alphabet of size $m$. In particular, the size of the sample is allowed to be…

信息论 · 计算机科学 2014-01-17 Xiao Yang , Andrew R. Barron

A variety of lifted inference algorithms, which exploit model symmetry to reduce computational cost, have been proposed to render inference tractable in probabilistic relational models. Most existing lifted inference algorithms operate only…

机器学习 · 计算机科学 2020-02-11 Yuqiao Chen , Yibo Yang , Sriraam Natarajan , Nicholas Ruozzi

We propose a new Bayesian Neural Net formulation that affords variational inference for which the evidence lower bound is analytically tractable subject to a tight approximation. We achieve this tractability by (i) decomposing ReLU…

机器学习 · 统计学 2019-06-13 Manuel Haussmann , Fred A. Hamprecht , Melih Kandemir

Stochastic variational inference makes it possible to approximate posterior distributions induced by large datasets quickly using stochastic optimization. The algorithm relies on the use of fully factorized variational distributions.…

机器学习 · 计算机科学 2014-11-27 Matthew D. Hoffman , David M. Blei

The couplings in a sparse asymmetric, asynchronous Ising network are reconstructed using an exact learning algorithm. L$_1$ regularization is used to remove the spurious weak connections that would otherwise be found by simply minimizing…

统计方法学 · 统计学 2012-11-19 Hong-Li Zeng , John Hertz , Yasser Roudi

Selective rationalization improves neural network interpretability by identifying a small subset of input features -- the rationale -- that best explains or supports the prediction. A typical rationalization criterion, i.e. maximum mutual…

机器学习 · 计算机科学 2020-03-24 Shiyu Chang , Yang Zhang , Mo Yu , Tommi S. Jaakkola

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

机器学习 · 计算机科学 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

Variational inference provides approximations to the computationally intractable posterior distribution in Bayesian networks. A prominent medical application of noisy-or Bayesian network is to infer potential diseases given observed…

机器学习 · 计算机科学 2016-05-23 Yusheng Xie , Nan Du , Wei Fan , Jing Zhai , Weicheng Zhu

Pairwise models like the Ising model or the generalized Potts model have found many successful applications in fields like physics, biology, and economics. Closely connected is the problem of inverse statistical mechanics, where the goal is…

无序系统与神经网络 · 物理学 2022-01-12 Christoph Feinauer , Carlo Lucibello

Several machine learning problems arising in natural language processing can be modeled as a sequence labeling problem. We provide Gaussian process models based on pseudo-likelihood approximation to perform sequence labeling. Gaussian…

机器学习 · 计算机科学 2016-09-22 P. K. Srijith , P. Balamurugan , Shirish Shevade

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

Inverse problems in statistical physics are motivated by the challenges of `big data' in different fields, in particular high-throughput experiments in biology. In inverse problems, the usual procedure of statistical physics needs to be…

无序系统与神经网络 · 物理学 2017-11-07 H. Chau Nguyen , Riccardo Zecchina , Johannes Berg

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior density are both intractable. Markov chain Monte Carlo (MCMC)…

统计计算 · 统计学 2019-11-26 Linda S. L. Tan , Nial Friel

As a powerful tool for longitudinal data analysis, the generalized estimating equations have been widely studied in the academic community. However, in large-scale settings, this approach faces pronounced computational and storage…

统计计算 · 统计学 2025-08-29 Chunjing Li , Jiahui Zhang , Xiaohui Yuan

Maximizing the log-likelihood is a crucial aspect of learning latent variable models, and variational inference (VI) stands as the commonly adopted method. However, VI can encounter challenges in achieving a high log-likelihood when dealing…

机器学习 · 计算机科学 2024-02-05 Chengrui Li , Yule Wang , Weihan Li , Anqi Wu

We consider the problem of inferring a causality structure from multiple binary time series by using the Kinetic Ising Model in datasets where a fraction of observations is missing. We take our steps from a recent work on Mean Field methods…

数据分析、统计与概率 · 物理学 2019-07-03 Carlo Campajola , Fabrizio Lillo , Daniele Tantari

The Poisson log-normal model is a latent variable model that provides a generic framework for the analysis of multivariate count data. Inferring its parameters can be a daunting task since the conditional distribution of the latent…

统计计算 · 统计学 2026-05-19 Julien Stoehr , Stephane S. Robin

In recent years, Ising prior with the network information for the "in" or "out" binary random variable in Bayesian variable selections has received more and more attentions. In this paper, we discover that even without the informative prior…

统计方法学 · 统计学 2012-06-14 Zaili Fang , Inyoung Kim

Random features (RFs) are a popular technique to scale up kernel methods in machine learning, replacing exact kernel evaluations with stochastic Monte Carlo estimates. They underpin models as diverse as efficient transformers (by…

机器学习 · 统计学 2024-10-04 Isaac Reid , Stratis Markou , Krzysztof Choromanski , Richard E. Turner , Adrian Weller