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We propose a novel semi-supervised structured output prediction method based on local linear regression in this paper. The existing semi-supervise structured output prediction methods learn a global predictor for all the data points in a…

Machine Learning · Computer Science 2016-08-17 Ru-Ze Liang , Wei Xie , Weizhi Li , Xin Du , Jim Jing-Yan Wang , Jingbin Wang

Dimension reduction and visualization is a staple of data analytics. Methods such as Principal Component Analysis (PCA) and Multidimensional Scaling (MDS) provide low dimensional (LD) projections of high dimensional (HD) data while…

Methodology · Statistics 2017-09-21 J. T. Fry , Matt Slifko , Scotland Leman

Although artificial neural networks are often described as brain-inspired, their representations typically rely on continuous activations, such as the continuous latent variables in variational autoencoders (VAEs), which limits their…

Machine Learning · Computer Science 2026-04-09 Yixuan Zhang , Jinhao Sheng , Wenxin Zhang , Quyu Kong , Feng Zhou

We study a regression problem where for some part of the data we observe both the label variable ($Y$) and the predictors (${\bf X}$), while for other part of the data only the predictors are given. Such a problem arises, for example, when…

Statistics Theory · Mathematics 2021-04-14 David Azriel , Lawrence D. Brown , Michael Sklar , Richard Berk , Andreas Buja , Linda Zhao

Wide accessibility of imaging and profile sensors in modern industrial systems created an abundance of high-dimensional sensing variables. This led to a a growing interest in the research of high-dimensional process monitoring. However,…

Machine Learning · Computer Science 2022-08-15 Nurettin Sergin , Hao Yan

In self-supervised learning (SSL), representations are learned via an auxiliary task without annotated labels. A common task is to classify augmentations or different modalities of the data, which share semantic content (e.g. an object in…

Machine Learning · Computer Science 2024-10-16 Alice Bizeul , Bernhard Schölkopf , Carl Allen

Variational Auto-Encoders (VAEs) have shown great potential in the unsupervised learning of data distributions. An VAE trained on normal images is expected to only be able to reconstruct normal images, allowing the localization of anomalous…

Computer Vision and Pattern Recognition · Computer Science 2020-05-22 Leixin Zhou , Wenxiang Deng , Xiaodong Wu

Beta coefficients for linear regression models represent the ideal form of an interpretable feature effect. However, for non-linear models and especially generalized linear models, the estimated coefficients cannot be interpreted as a…

Machine Learning · Computer Science 2022-01-24 Christian A. Scholbeck , Giuseppe Casalicchio , Christoph Molnar , Bernd Bischl , Christian Heumann

Neural PDE solvers used for scientific simulation often violate governing equation constraints. While linear constraints can be projected cheaply, many constraints are nonlinear, complicating projection onto the feasible set. Dynamical PDEs…

Machine Learning · Computer Science 2025-11-24 Omer Rochman , Gilles Louppe

The extremal dependence structure of a regularly varying $d$-dimensional random vector can be described by its angular measure. The standard nonparametric estimator of this measure is the empirical measure of the observed angles of the $k$…

Statistics Theory · Mathematics 2025-03-31 Holger Drees

This paper studies a class of linear panel models with random coefficients. We do not restrict the joint distribution of the time-invariant unobserved heterogeneity and the covariates. We investigate identification of the average partial…

Econometrics · Economics 2022-11-21 Louise Laage

Visualization is a key aspect of communicating the results of any study aiming to estimate causal effects. In studies with time-to-event outcomes, the most popular visualization approach is depicting survival curves stratified by the…

Methodology · Statistics 2023-08-07 Robin Denz , Nina Timmesfeld

The study of multivariate extremes is dominated by multivariate regular variation, although it is well known that this approach does not provide adequate distinction between random vectors whose components are not always simultaneously…

Statistics Theory · Mathematics 2021-08-17 Natalia Nolde , Jennifer L. Wadsworth

Variational inference in probabilistic graphical models aims to approximate fundamental quantities such as marginal distributions and the partition function. Popular approaches are the Bethe approximation, tree-reweighted, and other types…

Machine Learning · Statistics 2025-02-06 Harald Leisenberger , Franz Pernkopf

A central concept in information visualization research and practice is the notion of visual variable effectiveness, or the perceptual precision at which values are decoded given visual channels of encoding. Formative work from Cleveland &…

Human-Computer Interaction · Computer Science 2021-02-16 Enrico Bertini , Michael Correll , Steven Franconeri

A novel extension of the Probabilistic Learning on Manifolds (PLoM) is presented. It makes it possible to synthesize solutions to a wide range of nonlinear stochastic boundary value problems described by partial differential equations…

Machine Learning · Statistics 2021-04-07 Christian Soize , Roger Ghanem

Self-supervised methods have become crucial for advancing deep learning by leveraging data itself to reduce the need for expensive annotations. However, the question of how to conduct self-supervised offline reinforcement learning (RL) in a…

Machine Learning · Computer Science 2023-02-28 Hao Hu , Yiqin Yang , Qianchuan Zhao , Chongjie Zhang

Local projections (LPs) are widely used in empirical macroeconomics to estimate impulse responses to policy interventions. Yet, in many ways, they are black boxes. It is often unclear what mechanism or historical episodes drive a particular…

Econometrics · Economics 2025-07-30 Philippe Goulet Coulombe , Karin Klieber

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

Methodology · Statistics 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

Average partial effects (APEs) are often not point identified in panel models with unrestricted unobserved individual heterogeneity, such as a binary response panel model with fixed effects and logistic errors as a special case. This lack…

Econometrics · Economics 2024-08-01 Laura Liu , Alexandre Poirier , Ji-Liang Shiu