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In this paper error analysis for finite element discretizations of Dirichlet boundary control problems is developed. For the first time, optimal discretization error estimates are established in the case of three dimensional polyhedral and…

数值分析 · 数学 2024-01-05 Johannes Pfefferer , Boris Vexler

This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as…

机器学习 · 计算机科学 2012-07-03 Armand Joulin , Francis Bach

Focusing on stochastic programming (SP) with covariate information, this paper proposes an empirical risk minimization (ERM) method embedded within a nonconvex piecewise affine decision rule (PADR), which aims to learn the direct mapping…

最优化与控制 · 数学 2025-09-29 Yiyang Zhang , Junyi Liu , Xiaobo Zhao

We propose self-adaptive training---a new training algorithm that dynamically corrects problematic training labels by model predictions without incurring extra computational cost---to improve generalization of deep learning for potentially…

机器学习 · 计算机科学 2020-10-01 Lang Huang , Chao Zhang , Hongyang Zhang

We consider the estimation problem in high-dimensional semi-supervised learning. Our goal is to investigate when and how the unlabeled data can be exploited to improve the estimation of the regression parameters of linear model in light of…

统计方法学 · 统计学 2023-03-21 Siyi Deng , Yang Ning , Jiwei Zhao , Heping Zhang

We study the problem of Stochastic Convex Optimization (SCO) under the constraint of local Label Differential Privacy (L-LDP). In this setting, the features are considered public, but the corresponding labels are sensitive and must be…

数据结构与算法 · 计算机科学 2026-05-12 Lynn Chua , Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Ziteng Sun , Chiyuan Zhang

We study the problem of estimating Dynamic Discrete Choice (DDC) models, also known as offline Maximum Entropy-Regularized Inverse Reinforcement Learning (offline MaxEnt-IRL) in machine learning. The objective is to recover reward or $Q^*$…

机器学习 · 计算机科学 2026-05-06 Enoch H. Kang , Hema Yoganarasimhan , Lalit Jain

Models trained with empirical risk minimization (ERM) are prone to be biased towards spurious correlations between target labels and bias attributes, which leads to poor performance on data groups lacking spurious correlations. It is…

机器学习 · 计算机科学 2024-12-23 Hyeonggeun Han , Sehwan Kim , Hyungjun Joo , Sangwoo Hong , Jungwoo Lee

Given a collection of feature maps indexed by a set $\mathcal{T}$, we study the performance of empirical risk minimization (ERM) on regression problems with square loss over the union of the linear classes induced by these feature maps.…

机器学习 · 统计学 2024-11-20 Ayoub El Hanchi , Chris J. Maddison , Murat A. Erdogdu

We study the high-dimensional asymptotics of empirical risk minimization (ERM) in over-parametrized two-layer neural networks with quadratic activations trained on synthetic data. We derive sharp asymptotics for both training and test…

机器学习 · 统计学 2026-02-03 Vittorio Erba , Emanuele Troiani , Lenka Zdeborová , Florent Krzakala

In this paper, we study the problem of learning from weakly labeled data, where labels of the training examples are incomplete. This includes, for example, (i) semi-supervised learning where labels are partially known; (ii) multi-instance…

机器学习 · 计算机科学 2020-07-07 Yu-Feng Li , Ivor W. Tsang , James T. Kwok , Zhi-Hua Zhou

Developing simple, sample-efficient learning algorithms for robust classification is a pressing issue in today's tech-dominated world, and current theoretical techniques requiring exponential sample complexity and complicated improper…

机器学习 · 计算机科学 2023-02-07 Robi Bhattacharjee , Max Hopkins , Akash Kumar , Hantao Yu , Kamalika Chaudhuri

Differentially private (DP) selection involves choosing a high-scoring candidate from a finite candidate pool, where each score depends on a sensitive dataset. This problem arises naturally in a variety of contexts including model…

密码学与安全 · 计算机科学 2025-01-10 Daniela Antonova , Allegra Laro , Audra McMillan , Lorenz Wolf

Bilevel optimization, in which one optimization problem is nested inside another, underlies many machine learning applications with a hierarchical structure -- such as meta-learning and hyperparameter optimization. Such applications often…

机器学习 · 计算机科学 2025-11-10 Andrew Lowy , Daogao Liu

Differentially private SGD (DP-SGD) is one of the most popular methods for solving differentially private empirical risk minimization (ERM). Due to its noisy perturbation on each gradient update, the error rate of DP-SGD scales with the…

机器学习 · 计算机科学 2021-04-27 Yingxue Zhou , Zhiwei Steven Wu , Arindam Banerjee

In this paper, we study the problem of (finite sum) minimax optimization in the Differential Privacy (DP) model. Unlike most of the previous studies on the (strongly) convex-concave settings or loss functions satisfying the…

机器学习 · 计算机科学 2025-03-25 Ruijia Zhang , Mingxi Lei , Meng Ding , Zihang Xiang , Jinhui Xu , Di Wang

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

机器学习 · 计算机科学 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

Partial label learning deals with the problem where each training instance is assigned a set of candidate labels, only one of which is correct. This paper provides the first attempt to leverage the idea of self-training for dealing with…

机器学习 · 计算机科学 2019-02-11 Lei Feng , Bo An

We propose a novel framework for the differentially private ERM, input perturbation. Existing differentially private ERM implicitly assumed that the data contributors submit their private data to a database expecting that the database…

机器学习 · 统计学 2017-10-23 Kazuto Fukuchi , Quang Khai Tran , Jun Sakuma

This paper advocates a new paradigm Personalized Empirical Risk Minimization (PERM) to facilitate learning from heterogeneous data sources without imposing stringent constraints on computational resources shared by participating devices. In…

机器学习 · 计算机科学 2023-10-30 Yuyang Deng , Mohammad Mahdi Kamani , Pouria Mahdavinia , Mehrdad Mahdavi