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This paper investigates the robustness and optimality of the multi-kernel correntropy (MKC) on linear regression. We first derive an upper error bound for a scalar regression problem in the presence of arbitrarily large outliers and reveal…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Shilei Li , Yunjiang Lou , Dawei Shi , Lijing Li , Ling Shi

Bilevel optimization problems, which are problems where two optimization problems are nested, have more and more applications in machine learning. In many practical cases, the upper and the lower objectives correspond to empirical risk…

Machine Learning · Statistics 2024-12-03 Mathieu Dagréou , Thomas Moreau , Samuel Vaiter , Pierre Ablin

The kernel ridge regression (KRR) approach is extended to include the odd-even effects in nuclear mass predictions by remodulating the kernel function without introducing new weight parameters and inputs in the training network. By taking…

Nuclear Theory · Physics 2021-06-03 X. H. Wu , L. H. Guo , P. W. Zhao

We consider the application of a popular penalised regression method, Ridge Regression, to data with very high dimensions and many more covariates than observations. Our motivation is the problem of out-of-sample prediction and the setting…

Applications · Statistics 2012-05-04 Erika Cule , Maria De Iorio

This paper investigates the use of nonparametric kernel-regression to obtain a tasksimilarity aware meta-learning algorithm. Our hypothesis is that the use of tasksimilarity helps meta-learning when the available tasks are limited and may…

Machine Learning · Computer Science 2020-10-13 Arun Venkitaraman , Anders Hansson , Bo Wahlberg

This paper revisits and extends the 2013 development by Rockafellar and Uryasev of the Risk Quadrangle (RQ) as a unified scheme for integrating risk management, optimization, and statistical estimation. The RQ features four…

Optimization and Control · Mathematics 2026-03-31 Bogdan Grechuk , Anton Malandii , Terry Rockafellar , Stan Uryasev

We consider estimation of an optimal individualized treatment rule from observational and randomized studies when a high-dimensional vector of baseline variables is available. Our optimality criterion is with respect to delaying expected…

Methodology · Statistics 2017-11-09 Iván Díaz , Oleksandr Savenkov , Karla Ballman

Separation in logistic regression is a common problem causing failure of the iterative estimation process when finding maximum likelihood estimates. Firth's correction (FC) was proposed as a solution, providing estimates also in presence of…

Methodology · Statistics 2020-12-01 Hana Šinkovec , Angelika Geroldinger , Georg Heinze , Rok Blagus

We introduce ParK, a new large-scale solver for kernel ridge regression. Our approach combines partitioning with random projections and iterative optimization to reduce space and time complexity while provably maintaining the same…

Machine Learning · Statistics 2022-10-18 Luigi Carratino , Stefano Vigogna , Daniele Calandriello , Lorenzo Rosasco

This paper examines the precision of estimators of Quantile-Based Risk Measures (Value at Risk, Expected Shortfall, Spectral Risk Measures). It first addresses the question of how to estimate the precision of these estimators, and proposes…

Risk Management · Quantitative Finance 2011-03-30 Kevin Dowd , John Cotter

Minimizing the empirical risk is a popular training strategy, but for learning tasks where the data may be noisy or heavy-tailed, one may require many observations in order to generalize well. To achieve better performance under less…

Machine Learning · Statistics 2018-10-16 Matthew J. Holland , Kazushi Ikeda

In industrial recommendation systems, multi-task learning (learning multiple tasks simultaneously on a single model) is a predominant approach to save training/serving resources and improve recommendation performance via knowledge transfer…

Information Retrieval · Computer Science 2024-11-20 Yun He , Xuxing Chen , Jiayi Xu , Renqin Cai , Yiling You , Jennifer Cao , Minhui Huang , Liu Yang , Yiqun Liu , Xiaoyi Liu , Rong Jin , Sem Park , Bo Long , Xue Feng

We propose a general family of algorithms for regression estimation with quadratic loss. Our algorithms are able to select relevant functions into a large dictionary. We prove that a lot of algorithms that have already been studied for this…

Statistics Theory · Mathematics 2008-11-25 Pierre Alquier

Multi-Task Learning (MTL) can enhance a classifier's generalization performance by learning multiple related tasks simultaneously. Conventional MTL works under the offline or batch setting, and suffers from expensive training cost and poor…

Machine Learning · Computer Science 2017-06-28 Peng Yang , Peilin Zhao , Xin Gao

Although recent multi-task learning methods have shown to be effective in improving the generalization of deep neural networks, they should be used with caution for safety-critical applications, such as clinical risk prediction. This is…

Machine Learning · Computer Science 2021-02-19 A. Tuan Nguyen , Hyewon Jeong , Eunho Yang , Sung Ju Hwang

Intelligent agents should have the ability to leverage knowledge from previously learned tasks in order to learn new ones quickly and efficiently. Meta-learning approaches have emerged as a popular solution to achieve this. However,…

Machine Learning · Computer Science 2023-02-17 Zhao Mandi , Pieter Abbeel , Stephen James

We perform a study on kernel regression for large-dimensional data (where the sample size $n$ is polynomially depending on the dimension $d$ of the samples, i.e., $n\asymp d^{\gamma}$ for some $\gamma >0$ ). We first build a general tool to…

Machine Learning · Statistics 2024-07-01 Weihao Lu , Haobo Zhang , Yicheng Li , Manyun Xu , Qian Lin

The anisotropic kernel ridge regression (AKRR) approach in nuclear mass predictions is developed by introducing the anisotropic kernel function into the kernel ridge regression (KRR) approach, without introducing new weight parameter or…

Nuclear Theory · Physics 2024-05-02 X. H. Wu , C. Pan

With the advent of deep learning, many dense prediction tasks, i.e. tasks that produce pixel-level predictions, have seen significant performance improvements. The typical approach is to learn these tasks in isolation, that is, a separate…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Simon Vandenhende , Stamatios Georgoulis , Wouter Van Gansbeke , Marc Proesmans , Dengxin Dai , Luc Van Gool

In this paper for the first time the nonparametric autoregression estimation problem for the quadratic risks is considered. To this end we develop a new adaptive sequential model selection method based on the efficient sequential kernel…

Statistics Theory · Mathematics 2018-09-10 Ouerdia Arkoun , Jean-Yves Brua , Serguei Pergamenshchikov