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Low-rank tensor regression, a new model class that learns high-order correlation from data, has recently received considerable attention. At the same time, Gaussian processes (GP) are well-studied machine learning models for structure…

机器学习 · 计算机科学 2017-11-01 Rose Yu , Guangyu Li , Yan Liu

Variational autoencoders often assume isotropic Gaussian priors and mean-field posteriors, hence do not exploit structure in scenarios where we may expect similarity or consistency across latent variables. Gaussian process variational…

机器学习 · 统计学 2020-11-17 Metod Jazbec , Michael Pearce , Vincent Fortuin

A graph neural network transforms features in each vertex's neighborhood into a vector representation of the vertex. Afterward, each vertex's representation is used independently for predicting its label. This standard pipeline implicitly…

机器学习 · 计算机科学 2020-06-18 Junteng Jia , Austin R. Benson

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

机器学习 · 计算机科学 2026-03-03 Srinath Dama , Prasanth B. Nair

In prediction tasks, there exist features that are related to the label in the same way across different settings for that task; these are semantic features or semantics. Features with varying relationships to the label are nuisances. For…

机器学习 · 计算机科学 2024-07-04 Aahlad Puli , Nitish Joshi , Yoav Wald , He He , Rajesh Ranganath

During the last four years, we have witnessed the success of end-to-end trainable models for image compression. Compared to decades of incremental work, these machine learning (ML) techniques learn all the components of the compression…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Muhammet Balcilar , Bharath Bhushan Damodaran , Pierre Hellier

There are two major routes to address the ubiquitous family of inverse problems appearing in signal and image processing, such as denoising or deblurring. A first route relies on Bayesian modeling, where prior probabilities are used to…

统计理论 · 数学 2026-03-24 Rémi Gribonval , Mila Nikolova

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…

机器学习 · 计算机科学 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

Contaminant observations and outliers often cause problems when estimating the parameters of cognitive models, which are statistical models representing cognitive processes. In this study, we test and improve the robustness of parameter…

机器学习 · 统计学 2025-11-13 Yufei Wu , Stefan T. Radev , Francis Tuerlinckx

The stochastic partial differential equation approach to Gaussian processes (GPs) represents Mat\'ern GP priors in terms of $n$ finite element basis functions and Gaussian coefficients with sparse precision matrix. Such representations…

统计计算 · 统计学 2022-04-11 Daniel Sanz-Alonso , Ruiyi Yang

We consider the problem of estimating a deterministic sparse vector x from underdetermined measurements Ax+w, where w represents white Gaussian noise and A is a given deterministic dictionary. We analyze the performance of three sparse…

统计理论 · 数学 2015-05-13 Zvika Ben-Haim , Yonina C. Eldar , Michael Elad

We present a novel technique for amortized posterior estimation using Normalizing Flows trained with likelihood-weighted importance sampling. This approach allows for the efficient inference of theoretical parameters in high-dimensional…

机器学习 · 计算机科学 2026-02-23 Rajneil Baruah

Gaussian processes regression models are an appealing machine learning method as they learn expressive non-linear models from exemplar data with minimal parameter tuning and estimate both the mean and covariance of unseen points. However,…

机器学习 · 计算机科学 2020-08-25 Vladimir Joukov , Dana Kulić

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

This paper analyses the problem of Gaussian process (GP) bandits with deterministic observations. The analysis uses a branch and bound algorithm that is related to the UCB algorithm of (Srinivas et al., 2010). For GPs with Gaussian…

机器学习 · 计算机科学 2012-03-12 Nando de Freitas , Alex Smola , Masrour Zoghi

3D Gaussian Splatting (3DGS) has recently gained significant attention for high-quality and efficient view synthesis, making it widely adopted in fields such as AR/VR, robotics, and autonomous driving. Despite its impressive algorithmic…

Our work utilized a non-sequential simulation-based inference algorithm to provide an amortized neural density estimator, which approximates the posterior distribution for seven parameters of the adaptive exponential integrate-and-fire…

神经与进化计算 · 计算机科学 2026-02-13 Jakob Kaiser , Eric Müller , Johannes Schemmel

Random label noises (or observational noises) widely exist in practical machine learning settings. While previous studies primarily focus on the affects of label noises to the performance of learning, our work intends to investigate the…

机器学习 · 计算机科学 2023-04-04 Haoyi Xiong , Xuhong Li , Boyang Yu , Zhanxing Zhu , Dongrui Wu , Dejing Dou

When we consider discretization of continuous probability distributions, it inevitably induces irreversible geometric distortion of local measure on the discretized support. While such discretziation-induced distortion is extrinsic to…

统计力学 · 物理学 2026-05-28 Koretaka Yuge

Instance-dependent label noise is realistic but rather challenging, where the label-corruption process depends on instances directly. It causes a severe distribution shift between the distributions of training and test data, which impairs…

机器学习 · 计算机科学 2022-10-12 Manyi Zhang , Yuxin Ren , Zihao Wang , Chun Yuan