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The goal of compressed sensing is to estimate a high dimensional vector from an underdetermined system of noisy linear equations. In analogy to classical compressed sensing, here we assume a generative model as a prior, that is, we assume…

机器学习 · 统计学 2021-06-24 Ajil Jalal , Liu Liu , Alexandros G. Dimakis , Constantine Caramanis

Multi-objective reinforcement learning (MORL) is an extension of ordinary, single-objective reinforcement learning (RL) that is applicable to many real-world tasks where multiple objectives exist without known relative costs. We study the…

机器学习 · 计算机科学 2021-01-12 Dongruo Zhou , Jiahao Chen , Quanquan Gu

Discriminative learning based on convolutional neural networks (CNNs) aims to perform image restoration by learning from training examples of noisy-clean image pairs. It has become the go-to methodology for tackling image restoration and…

计算机视觉与模式识别 · 计算机科学 2020-09-01 Junaid Malik , Serkan Kiranyaz , Moncef Gabbouj

This paper introduces a new regularized version of the robust $\tau$-regression estimator for analyzing high-dimensional datasets subject to gross contamination in the response variables and covariates. The resulting estimator, termed…

机器学习 · 统计学 2025-04-30 Emadaldin Mozafari-Majd , Visa Koivunen

Modern machine learning-based recognition approaches require large-scale datasets with large number of labelled training images. However, such datasets are inherently difficult and costly to collect and annotate. Hence there is a great and…

机器学习 · 计算机科学 2019-12-30 Yanwei Fu , De-An Huang , Leonid Sigal

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

统计方法学 · 统计学 2019-10-29 Miaomiao Wang , Guohua Zou

We develop a new robust geographically weighted regression method in the presence of outliers. We embed the standard geographically weighted regression in robust objective function based on $\gamma$-divergence. A novel feature of the…

统计方法学 · 统计学 2021-10-15 Shonosuke Sugasawa , Daisuke Murakami

Spatial perception is the backbone of many robotics applications, and spans a broad range of research problems, including localization and mapping, point cloud alignment, and relative pose estimation from camera images. Robust spatial…

机器学习 · 统计学 2019-07-31 Vasileios Tzoumas , Pasquale Antonante , Luca Carlone

This paper considers inference in a linear regression model with random right censoring and outliers. The number of outliers can grow with the sample size while their proportion goes to zero. The model is semiparametric and we make only…

统计理论 · 数学 2021-10-06 Jad Beyhum , Ingrid Van Keilegom

Support vector machine (SVM) has attracted great attentions for the last two decades due to its extensive applications, and thus numerous optimization models have been proposed. To distinguish all of them, in this paper, we introduce a new…

最优化与控制 · 数学 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

We give the first polynomial-time algorithm for performing linear or polynomial regression resilient to adversarial corruptions in both examples and labels. Given a sufficiently large (polynomial-size) training set drawn i.i.d. from…

机器学习 · 计算机科学 2020-06-05 Adam Klivans , Pravesh K. Kothari , Raghu Meka

Reinforcement learning has been applied in operation research and has shown promise in solving large combinatorial optimization problems. However, existing works focus on developing neural network architectures for certain problems. These…

最优化与控制 · 数学 2023-03-24 Ching Pui Wan , Tung Li , Jason Min Wang

In this paper, we propose a novel {\em $e$-exponentiated} transformation, $0 \le e<1$, for loss functions. When the transformation is applied to a convex loss function, the transformed loss function become more robust to outliers. Using a…

机器学习 · 计算机科学 2019-02-21 Suvadeep Hajra

We consider online convex optimization when a number k of data points are outliers that may be corrupted. We model this by introducing the notion of robust regret, which measures the regret only on rounds that are not outliers. The aim for…

机器学习 · 计算机科学 2021-08-31 Tim van Erven , Sarah Sachs , Wouter M. Koolen , Wojciech Kotłowski

Inspired by the recent successes of Inverse Optimization (IO) across various application domains, we propose a novel offline Reinforcement Learning (ORL) algorithm for continuous state and action spaces, leveraging the convex loss function…

机器学习 · 计算机科学 2026-03-19 Ioannis Dimanidis , Tolga Ok , Peyman Mohajerin Esfahani

The presence of outliers (anomalous values) in synthetic aperture radar (SAR) data and the misspecification in statistical image models may result in inaccurate inferences. To avoid such issues, the Rayleigh regression model based on a…

应用统计 · 统计学 2022-08-02 B. G. Palm , F. M. Bayer , R. Machado , M. I. Pettersson , V. T. Vu , R. J. Cintra

Addressing the Out-of-Distribution (OoD) segmentation task is a prerequisite for perception systems operating in an open-world environment. Large foundational models are frequently used in downstream tasks, however, their potential for OoD…

计算机视觉与模式识别 · 计算机科学 2024-09-11 Nazir Nayal , Youssef Shoeb , Fatma Güney

A robust estimation framework for binary regression models is studied, aiming to extend traditional approaches like logistic regression models. While previous studies largely focused on logistic models, we explore a broader class of models…

统计方法学 · 统计学 2025-02-24 Kenichi Hayashi , Shinto Eguchi

Outlier detection is a core task in data mining with a plethora of algorithms that have enjoyed wide scale usage. Existing algorithms are primarily focused on detection, that is the identification of outliers in a given dataset. In this…

机器学习 · 计算机科学 2019-11-11 Yue Wu , Leman Akoglu , Ian Davidson

We study the problem of off-policy evaluation (OPE) in reinforcement learning (RL), where the goal is to estimate the performance of a policy from the data generated by another policy(ies). In particular, we focus on the doubly robust (DR)…

人工智能 · 计算机科学 2018-05-25 Mehrdad Farajtabar , Yinlam Chow , Mohammad Ghavamzadeh