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This article describes a multivariate polynomial regression method where the uncertainty of the input parameters are approximated with Gaussian distributions, derived from the central limit theorem for large weighted sums, directly from the…

机器学习 · 统计学 2013-10-04 Peter Kovesarki , Ian C. Brock

The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems. The…

机器学习 · 计算机科学 2011-02-01 Gilles Meyer , Silvere Bonnabel , Rodolphe Sepulchre

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

统计方法学 · 统计学 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

Unmeasured confounders are a major source of bias in regression-based effect estimation and causal inference. In this paper, we advocate a new profiled transfer learning framework, ProTrans, to address confounding effects in the target…

统计方法学 · 统计学 2025-09-04 Ziyuan Chen , Yifan Jiang , Jingyuan Liu , Fang Yao

We suggest two nonparametric approaches, based on kernel methods and orthogonal series to estimating regression functions in the presence of instrumental variables. For the first time in this class of problems, we derive optimal convergence…

统计理论 · 数学 2007-06-13 Peter Hall , Joel L. Horowitz

Continual test-time domain adaptation (CTTA) aims to adjust models so that they can perform well over time across non-stationary environments. While previous methods have made considerable efforts to optimize the adaptation process, a…

计算机视觉与模式识别 · 计算机科学 2026-02-09 Yanshuo Wang , Jinguang Tong , Jun Lan , Weiqiang Wang , Huijia Zhu , Haoxing Chen , Xuesong Li , Jie Hong

Inverse problems are fundamental to science and engineering, where the goal is to infer an underlying signal or state from incomplete or noisy measurements. Recent approaches employ diffusion models as powerful implicit priors for such…

机器学习 · 计算机科学 2025-11-27 Bilal Ahmed , Joseph G. Makin

The mean shift (MS) algorithm is a nonparametric method used to cluster sample points and find the local modes of kernel density estimates, using an idea based on iterative gradient ascent. In this paper we develop a mean-shift-inspired…

机器学习 · 统计学 2021-04-21 Wanli Qiao , Amarda Shehu

Existing adversarial domain adaptation methods mainly consider the marginal distribution and these methods may lead to either under transfer or negative transfer. To address this problem, we present a self-adaptive re-weighted adversarial…

计算机视觉与模式识别 · 计算机科学 2020-06-03 Shanshan Wang , Lei Zhang

Transfer learning is essential when sufficient data comes from the source domain, with scarce labeled data from the target domain. We develop estimators that achieve minimax linear risk for linear regression problems under distribution…

机器学习 · 计算机科学 2021-06-24 Qi Lei , Wei Hu , Jason D. Lee

In various statistical settings, the goal is to estimate a function which is restricted by the statistical model only through a conditional moment restriction. Prominent examples include the nonparametric instrumental variable framework for…

统计方法学 · 统计学 2025-05-28 AmirEmad Ghassami , James M. Robins , Andrea Rotnitzky

This paper studies the problem of nonparametric estimation of a smooth function with data distributed across multiple machines. We assume an independent sample from a white noise model is collected at each machine, and an estimator of the…

机器学习 · 统计学 2018-06-26 Yuancheng Zhu , John Lafferty

Data-driven risk analysis involves the inference of probability distributions from measured or simulated data. In the case of a highly reliable system, such as the electricity grid, the amount of relevant data is often exceedingly limited,…

统计方法学 · 统计学 2017-07-11 Simon H. Tindemans , Goran Strbac

Subpopulation shift exists widely in many real-world applications, which refers to the training and test distributions that contain the same subpopulation groups but with different subpopulation proportions. Ignoring subpopulation shifts…

We propose Regularized Learning under Label shifts (RLLS), a principled and a practical domain-adaptation algorithm to correct for shifts in the label distribution between a source and a target domain. We first estimate importance weights…

机器学习 · 计算机科学 2020-08-10 Kamyar Azizzadenesheli , Anqi Liu , Fanny Yang , Animashree Anandkumar

Long-range temporal alignment is critical yet challenging for video restoration tasks. Recently, some works attempt to divide the long-range alignment into several sub-alignments and handle them progressively. Although this operation is…

计算机视觉与模式识别 · 计算机科学 2021-12-02 Kun Zhou , Wenbo Li , Liying Lu , Xiaoguang Han , Jiangbo Lu

A fundamental functional in nonparametric statistics is the Mann-Whitney functional ${\theta} = P (X < Y )$ , which constitutes the basis for the most popular nonparametric procedures. The functional ${\theta}$ measures a location or…

统计方法学 · 统计学 2023-11-30 Jonas Beck , Patrick B. Langthaler , Arne C. Bathke

This paper investigates an interesting weakly supervised regression setting called regression with interval targets (RIT). Although some of the previous methods on relevant regression settings can be adapted to RIT, they are not…

机器学习 · 计算机科学 2023-06-21 Xin Cheng , Yuzhou Cao , Ximing Li , Bo An , Lei Feng

We consider a new variant of the multi-robot task allocation problem - Inverse Risk-sensitive Multi-Robot Task Allocation (IR-MRTA). "Forward" MRTA - the process of deciding which robot should perform a task given the reward (cost)-related…

机器人学 · 计算机科学 2024-06-17 Guangyao Shi , Gaurav S. Sukhatme

With the rapid increase of large-scale, real-world datasets, it becomes critical to address the problem of long-tailed data distribution (i.e., a few classes account for most of the data, while most classes are under-represented). Existing…

计算机视觉与模式识别 · 计算机科学 2019-01-18 Yin Cui , Menglin Jia , Tsung-Yi Lin , Yang Song , Serge Belongie