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Modern variational inference (VI) uses stochastic gradients to avoid intractable expectations, enabling large-scale probabilistic inference in complex models. VI posits a family of approximating distributions q and then finds the member of…

Machine Learning · Statistics 2021-02-24 Christian A. Naesseth , Fredrik Lindsten , David Blei

For training an encoder network to perform amortized variational inference, the Kullback-Leibler (KL) divergence from the exact posterior to its approximation, known as the inclusive or forward KL, is an increasingly popular choice of…

Machine Learning · Computer Science 2024-03-19 Declan McNamara , Jackson Loper , Jeffrey Regier

Quasi-Monte Carlo (QMC) is a powerful method for evaluating high-dimensional integrals. However, its use is typically limited to distributions where direct sampling is straightforward, such as the uniform distribution on the unit hypercube…

Numerical Analysis · Mathematics 2024-12-24 Sifan Liu

Variational Inference approximates an unnormalized distribution via the minimization of Kullback-Leibler (KL) divergence. Although this divergence is efficient for computation and has been widely used in applications, it suffers from some…

Machine Learning · Statistics 2022-07-28 Mingxuan Yi , Song Liu

We propose a sampling-based framework for finite-horizon trajectory and policy optimization under differentiable dynamics by casting controller design as inference. Specifically, we minimize a KL-regularized expected trajectory cost, which…

Machine Learning · Computer Science 2026-05-12 Heng Yang

Efficiently capturing the complex spatiotemporal representations from large-scale unlabeled traffic data remains to be a challenging task. In considering of the dilemma, this work employs the advanced contrastive learning and proposes a…

Machine Learning · Computer Science 2023-12-19 Lincan Li , Kaixiang Yang , Fengji Luo , Jichao Bi

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

Trajectory similarity computation is fundamental functionality that is used for, e.g., clustering, prediction, and anomaly detection. However, existing learning-based methods exhibit three key limitations: (1) insufficient modeling of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Zhichen Lai , Hua Lu , Huan Li , Jialiang Li , Christian S. Jensen

Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

Machine Learning · Statistics 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt

Hamiltonian Monte Carlo is a powerful algorithm for sampling from difficult-to-normalize posterior distributions. However, when the geometry of the posterior is unfavorable, it may take many expensive evaluations of the target distribution…

Human Motion Prediction (HMP) aims to predict future poses at different moments according to past motion sequences. Previous approaches have treated the prediction of various moments equally, resulting in two main limitations: the learning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Jianwei Tang , Jiangxin Sun , Xiaotong Lin , Lifang Zhang , Wei-Shi Zheng , Jian-Fang Hu

We present a novel offline-online method to mitigate the computational burden of the characterization of posterior random variables in statistical learning. In the offline phase, the proposed method learns the joint law of the parameter…

Machine Learning · Statistics 2023-03-07 Tiangang Cui , Sergey Dolgov , Olivier Zahm

We develop a method to combine Markov chain Monte Carlo (MCMC) and variational inference (VI), leveraging the advantages of both inference approaches. Specifically, we improve the variational distribution by running a few MCMC steps. To…

Machine Learning · Statistics 2019-05-29 Francisco J. R. Ruiz , Michalis K. Titsias

Trajectory Inference (TI) seeks to recover latent dynamical processes from snapshot data, where only independent samples from time-indexed marginals are observed. In applications such as single-cell genomics, destructive measurements make…

Machine Learning · Computer Science 2026-04-23 Chao Wang , Luca Nepote , Giulio Franzese , Pietro Michiardi

In step with the digitalization of transportation, we are witnessing a growing range of path-based smart-city applications, e.g., travel-time estimation and travel path ranking. A temporal path(TP) that includes temporal information, e.g.,…

Machine Learning · Computer Science 2022-04-18 Sean Bin Yang , Chenjuan Guo , Jilin Hu , Bin Yang , Jian Tang , Christian S. Jensen

Reversible jump Markov chain Monte Carlo (RJMCMC) proposals that achieve reasonable acceptance rates and mixing are notoriously difficult to design in most applications. Inspired by recent advances in deep neural network-based normalizing…

Computation · Statistics 2023-02-28 Laurence Davies , Robert Salomone , Matthew Sutton , Christopher Drovandi

Sequential Monte Carlo (SMC), also known as particle filters, has been widely accepted as a powerful computational tool for making inference with dynamical systems. A key step in SMC is resampling, which plays the role of steering the…

Methodology · Statistics 2020-12-08 Yichao Li , Wenshuo Wang , Ke Deng , Jun S Liu

Over the last years we witnessed a renewed interest toward Traffic Classification (TC) captivated by the rise of Deep Learning (DL). Yet, the vast majority of TC literature lacks code artifacts, performance assessments across datasets and…

Machine Learning · Computer Science 2023-10-17 Alessandro Finamore , Chao Wang , Jonatan Krolikowski , Jose M. Navarro , Fuxing Chen , Dario Rossi

We introduce a new framework for efficient sampling from complex probability distributions, using a combination of optimal transport maps and the Metropolis-Hastings rule. The core idea is to use continuous transportation to transform…

Computation · Statistics 2019-06-11 Matthew Parno , Youssef Marzouk

We propose a novel probabilistic approach to multilevel clustering problems based on composite transportation distance, which is a variant of transportation distance where the underlying metric is Kullback-Leibler divergence. Our method…

Machine Learning · Computer Science 2018-10-30 Nhat Ho , Viet Huynh , Dinh Phung , Michael I. Jordan
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