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Along with Markov chain Monte Carlo (MCMC) methods, variational inference (VI) has emerged as a central computational approach to large-scale Bayesian inference. Rather than sampling from the true posterior $\pi$, VI aims at producing a…

Machine Learning · Statistics 2023-04-24 Marc Lambert , Sinho Chewi , Francis Bach , Silvère Bonnabel , Philippe Rigollet

Many real-world tasks require optimizing expensive black-box functions accessible only through noisy evaluations, a setting commonly addressed with Bayesian optimization (BO). While Bayesian neural networks (BNNs) have recently emerged as…

Machine Learning · Computer Science 2026-01-14 Farhad Mirkarimi

Variational inference uses optimization, rather than integration, to approximate the marginal likelihood, and thereby the posterior, in a Bayesian model. Thanks to advances in computational scalability made in the last decade, variational…

Machine Learning · Statistics 2023-01-04 Jens Sjölund

Accurate localization in autonomous driving is critical for successful missions including environmental mapping and survivor searches. In visually challenging environments, including low-light conditions, overexposure, illumination changes,…

Visual Odometry (VO) is used in many applications including robotics and autonomous systems. However, traditional approaches based on feature matching are computationally expensive and do not directly address failure cases, instead relying…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Nimet Kaygusuz , Oscar Mendez , Richard Bowden

In recent years, transformer-based architectures become the de facto standard for sequence modeling in deep learning frameworks. Inspired by the successful examples, we propose a causal visual-inertial fusion transformer (VIFT) for pose…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Yunus Bilge Kurt , Ahmet Akman , A. Aydın Alatan

Approximate inference algorithm is one of the fundamental research fields in machine learning. The two dominant theoretical inference frameworks in machine learning are variational inference (VI) and Markov chain Monte Carlo (MCMC).…

Machine Learning · Computer Science 2018-11-20 Yichuan Zhang

We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are…

Statistical Mechanics · Physics 2008-08-13 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We introduce Support Decomposition Variational Inference (SDVI), a new variational inference (VI) approach for probabilistic programs with stochastic support. Existing approaches to this problem rely on designing a single global variational…

Machine Learning · Computer Science 2023-11-02 Tim Reichelt , Luke Ong , Tom Rainforth

Visual Inertial Odometry (VIO) is one of the most established state estimation methods for mobile platforms. However, when visual tracking fails, VIO algorithms quickly diverge due to rapid error accumulation during inertial data…

Robotics · Computer Science 2023-06-13 Russell Buchanan , Varun Agrawal , Marco Camurri , Frank Dellaert , Maurice Fallon

Variational Inference is a powerful tool in the Bayesian modeling toolkit, however, its effectiveness is determined by the expressivity of the utilized variational distributions in terms of their ability to match the true posterior…

Machine Learning · Statistics 2019-05-10 Artem Sobolev , Dmitry Vetrov

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

Variable importance (VI) methods are often used for hypothesis generation, feature selection, and scientific validation. In the standard VI pipeline, an analyst estimates VI for a single predictive model with only the observed features.…

Machine Learning · Computer Science 2025-10-15 Jon Donnelly , Srikar Katta , Emanuele Borgonovo , Cynthia Rudin

Thermodynamic integration (TI) for computing marginal likelihoods is based on an inverse annealing path from the prior to the posterior distribution. In many cases, the resulting estimator suffers from high variability, which particularly…

Methodology · Statistics 2017-03-22 Marco Grzegorczyk , Andrej Aderhold , Dirk Husmeier

Traditional monocular Visual-Inertial Odometry (VIO) systems struggle in low-texture environments where sparse visual features are insufficient for accurate pose estimation. To address this, dense Monocular Depth Estimation (MDE) has been…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Arda Alniak , Sinan Kalkan , Mustafa Mert Ankarali , Afsar Saranli , Abdullah Aydin Alatan

With the success of deep learning based approaches in tackling challenging problems in computer vision, a wide range of deep architectures have recently been proposed for the task of visual odometry (VO) estimation. Most of these proposed…

Robotics · Computer Science 2018-04-16 Ganesh Iyer , J. Krishna Murthy , Gunshi Gupta , K. Madhava Krishna , Liam Paull

Machine learning techniques have been applied to enhance turbulence modeling in recent years. However, the "black box" nature of most machine learning techniques poses significant interpretability challenges in improving turbulence models.…

Fluid Dynamics · Physics 2025-08-22 Boqian Zhang , Juanmian Lei

This paper describes an approach to simultaneously identify clusters and estimate cluster-specific regression parameters from the given data. Such an approach can be useful in learning the relationship between input and output when the…

Statistical Finance · Quantitative Finance 2024-01-02 Udai Nagpal , Krishan Nagpal

The Vortex-induced vibration (VIV) prediction of long flexible cylindrical structures relies on the accuracy of the hydrodynamic database constructed via rigid cylinder forced vibration experiments. However, to create a comprehensive…

Stochastic models with global parameters and latent variables are common, and for which variational inference (VI) is popular. However, existing methods are often either slow or inaccurate in high dimensions. We suggest a fast and accurate…

Machine Learning · Statistics 2024-07-26 Weiben Zhang , Michael Stanley Smith , Worapree Maneesoonthorn , Ruben Loaiza-Maya
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