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The generalized varying coefficient partially linear model with growing number of predictors arises in many contemporary scientific endeavor. In this paper we set foot on both theoretical and practical sides of profile likelihood estimation…

Statistics Theory · Mathematics 2011-11-09 C. Lam , J. Fan

Unsupervised disentangled representation learning is a long-standing problem in computer vision. This work proposes a novel framework for performing image clustering from deep embeddings by combining instance-level contrastive learning with…

Machine Learning · Computer Science 2021-10-05 Ramakrishnan Sundareswaran , Jansel Herrera-Gerena , John Just , Ali Jannesari

In this article, we introduce a kernel-based consensual aggregation method for regression problems. We aim to flexibly combine individual regression estimators $r_1, r_2, \ldots, r_M$ using a weighted average where the weights are defined…

Methodology · Statistics 2021-04-29 Sothea Has

While mixture of linear regressions (MLR) is a well-studied topic, prior works usually do not analyze such models for prediction error. In fact, {\em prediction} and {\em loss} are not well-defined in the context of mixtures. In this paper,…

Machine Learning · Statistics 2022-05-27 Avishek Ghosh , Arya Mazumdar , Soumyabrata Pal , Rajat Sen

We propose a framework for hypothesis testing on conditional probability distributions, which we then use to construct statistical tests of functionals of conditional distributions. These tests identify the inputs where the functionals…

Machine Learning · Computer Science 2025-11-03 Pierre-François Massiani , Christian Fiedler , Lukas Haverbeck , Friedrich Solowjow , Sebastian Trimpe

Machine learning models have exhibited exceptional results in various domains. The most prevalent approach for learning is the empirical risk minimizer (ERM), which adapts the model's weights to reduce the loss on a training set and…

Machine Learning · Computer Science 2024-12-11 Koby Bibas

Deep neural networks excel in high-dimensional problems, outperforming models such as kernel methods, which suffer from the curse of dimensionality. However, the theoretical foundations of this success remain poorly understood. We follow…

Machine Learning · Statistics 2025-10-06 Shuo Huang , Hippolyte Labarrière , Ernesto De Vito , Tomaso Poggio , Lorenzo Rosasco

Recently, a method called the Mutual Information Neural Estimator (MINE) that uses neural networks has been proposed to estimate mutual information and more generally the Kullback-Leibler (KL) divergence between two distributions. The…

Machine Learning · Computer Science 2019-08-20 Kartik Ahuja

We study the problem of estimating the \emph{value} of the largest mean among K distributions via samples from them (rather than estimating \emph{which} distribution has the largest mean), which arises from various machine learning tasks…

Machine Learning · Statistics 2025-04-30 Tuan Ngo Nguyen , Jay Barrett , Kwang-Sung Jun

Multiple Instance Learning (MIL) for whole slide image (WSI) analysis in computational pathology often neglects instance-level learning as supervision is typically provided only at the bag level, hindering the integrated consideration of…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Shuyang Wu , Yifu Qiu , Ines P. Nearchou , Sandrine Prost , Jonathan A. Fallowfield , Hideki Ueno , Hitoshi Tsuda , David J. Harrison , Hakan Bilen , Timothy J. Kendall

We introduce and define the novel problem of multi-distribution information retrieval (IR) where given a query, systems need to retrieve passages from within multiple collections, each drawn from a different distribution. Some of these…

Information Retrieval · Computer Science 2023-06-23 Soumya Chatterjee , Omar Khattab , Simran Arora

We study the problem of predicting numeric labels that are constrained to the integers or to a subrange of the integers. For example, the number of up-votes on social media posts, or the number of bicycles available at a public rental…

Machine Learning · Computer Science 2026-04-14 Bas Maat , Peter Bloem

We study the problem of conditional predictive inference on multiple outcomes missing at random (MAR) -- or equivalently, under covariate shift. While the weighted conformal prediction offers a tool for inference under covariate shift with…

Methodology · Statistics 2025-08-01 Yonghoon Lee , Edgar Dobriban , Eric Tchetgen Tchetgen

Computing a consensus object from a set of given objects is a core problem in machine learning and pattern recognition. One popular approach is to formulate it as an optimization problem using the generalized median. Previous methods like…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Andreas Nienkötter , Xiaoyi Jiang

In this paper, we consider the coefficient-based regularized distribution regression which aims to regress from probability measures to real-valued responses over a reproducing kernel Hilbert space (RKHS), where the regularization is put on…

Machine Learning · Statistics 2022-08-29 Yuan Mao , Lei Shi , Zheng-Chu Guo

Conditional Maximum Mean Discrepancy (CMMD) can capture the discrepancy between conditional distributions by drawing support from nonlinear kernel functions, thus it has been successfully used for pattern classification. However, CMMD does…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Chuan-Xian Ren , Pengfei Ge , Dao-Qing Dai , Hong Yan

In Multiple Instance Learning (MIL), models are trained using bags of instances, where only a single label is provided for each bag. A bag label is often only determined by a handful of key instances within a bag, making it difficult to…

Machine Learning · Computer Science 2022-03-16 Joseph Early , Christine Evers , Sarvapali Ramchurn

Predictive models trained on imbalanced data tend to produce biased results. This problem is exacerbated when there is not just one output label, but a set of them. This is the case for multilabel learning (MLL) algorithms used to classify…

Machine Learning · Computer Science 2025-01-22 Francisco Charte , Miguel Ángel Dávila , María Dolores Pérez-Godoy , María José del Jesus

Inspired by its success for their continuous counterparts, the standard approach to deal with mixed-integer recourse (MIR) models under distributional uncertainty is to use distributionally robust optimization (DRO). We argue, however, that…

Optimization and Control · Mathematics 2022-06-28 E. Ruben van Beesten , Ward Romeijnders , David P. Morton

Weakly supervised machine learning algorithms are able to learn from ambiguous samples or labels, e.g., multi-instance learning or partial-label learning. However, in some real-world tasks, each training sample is associated with not only…

Machine Learning · Computer Science 2022-12-20 Wei Tang , Weijia Zhang , Min-Ling Zhang
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