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We propose and analyze algorithms for distributionally robust optimization of convex losses with conditional value at risk (CVaR) and $\chi^2$ divergence uncertainty sets. We prove that our algorithms require a number of gradient…

最优化与控制 · 数学 2020-12-14 Daniel Levy , Yair Carmon , John C. Duchi , Aaron Sidford

In this work, we present an efficient algorithm for multivariate mean value estimation. Our algorithm outperforms previous work by polylog factors and nearly saturates the known lower bound. More formally, given a random vector $\vec{X}$ of…

量子物理 · 物理学 2025-05-30 Letian Tang

We study the problem of robustly estimating the mean or location parameter without moment assumptions. We show that for a large class of symmetric distributions, the same error as in the Gaussian setting can be achieved efficiently. The…

数据结构与算法 · 计算机科学 2023-11-09 Gleb Novikov , David Steurer , Stefan Tiegel

We propose a data-driven mean-curvature solver for the level-set method. This work is the natural extension to $\mathbb{R}^3$ of our two-dimensional strategy in [DOI: 10.1007/s10915-022-01952-2][1] and the hybrid inference system of [DOI:…

机器学习 · 计算机科学 2022-12-12 Luis Ángel Larios-Cárdenas , Frédéric Gibou

We study the problem of high-dimensional linear regression in a robust model where an $\epsilon$-fraction of the samples can be adversarially corrupted. We focus on the fundamental setting where the covariates of the uncorrupted samples are…

机器学习 · 计算机科学 2018-06-04 Ilias Diakonikolas , Weihao Kong , Alistair Stewart

Machine learning algorithms have grown in sophistication over the years and are increasingly deployed for real-life applications. However, when using machine learning techniques in practical settings, particularly in high-risk applications…

机器学习 · 计算机科学 2023-10-06 Sukrita Singh , Neeraj Sarna , Yuanyuan Li , Yang Li , Agni Orfanoudaki , Michael Berger

Standard approaches for global optimization of non-convex functions, such as branch-and-bound, maintain partition trees to systematically prune the domain. The tree size grows exponentially in the number of dimensions. We propose new…

人工智能 · 计算机科学 2024-02-21 Yaoguang Zhai , Zhizhen Qin , Sicun Gao

Efficient and automated design of optimizers plays a crucial role in full-stack AutoML systems. However, prior methods in optimizer search are often limited by their scalability, generability, or sample efficiency. With the goal of…

机器学习 · 计算机科学 2022-09-29 Ruochen Wang , Yuanhao Xiong , Minhao Cheng , Cho-Jui Hsieh

In this paper we describe a probabilistic method for estimating the position of an object along with its covariance matrix using neural networks. Our method is designed to be robust to outliers, have bounded gradients with respect to the…

计算机视觉与模式识别 · 计算机科学 2021-11-22 David Mohlin , Gerald Bianchi , Josephine Sullivan

This paper studies transfer learning for estimating the mean of random functions based on discretely sampled data, where, in addition to observations from the target distribution, auxiliary samples from similar but distinct source…

统计理论 · 数学 2024-03-29 T. Tony Cai , Dongwoo Kim , Hongming Pu

We consider minimizing a smooth and strongly convex objective function using a stochastic Newton method. At each iteration, the algorithm is given an oracle access to a stochastic estimate of the Hessian matrix. The oracle model includes…

最优化与控制 · 数学 2022-11-29 Sen Na , Michał Dereziński , Michael W. Mahoney

This paper introduces \emph{biased mean regression}, estimating the \emph{biased mean}, i.e., $\mathbb{E}[Y] + x$, where $x \in \mathbb{R}$. The approach addresses a fundamental statistical problem that covers numerous applications. For…

应用统计 · 统计学 2026-03-31 Anton Malandii , Stan Uryasev

In the infinite-armed bandit problem, each arm's average reward is sampled from an unknown distribution, and each arm can be sampled further to obtain noisy estimates of the average reward of that arm. Prior work focuses on identifying the…

机器学习 · 计算机科学 2022-11-04 Yifei Wang , Tavor Baharav , Yanjun Han , Jiantao Jiao , David Tse

Label hierarchies are often available apriori as part of biological taxonomy or language datasets WordNet. Several works exploit these to learn hierarchy aware features in order to improve the classifier to make semantically meaningful…

计算机视觉与模式识别 · 计算机科学 2022-07-27 Ashima Garg , Depanshu Sani , Saket Anand

Large Language Models excel in generative tasks but exhibit inefficiencies in structured text selection, particularly in extractive question answering. This challenge is magnified in resource-constrained environments, where deploying…

计算与语言 · 计算机科学 2026-05-29 Yannis Montreuil , Shu Heng Yeo , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

Statistical machine learning models should be evaluated and validated before putting to work. Conventional k-fold Monte Carlo Cross-Validation (MCCV) procedure uses a pseudo-random sequence to partition instances into k subsets, which…

机器学习 · 统计学 2019-07-05 Liang Guo , Jianya Liu , Ruodan Lu

In the context of supervised learning, meta learning uses features, metadata and other information to learn about the difficulty, behavior, or composition of the problem. Using this knowledge can be useful to contextualize classifier…

信息论 · 计算机科学 2020-04-28 Salimeh Yasaei Sekeh , Brandon Oselio , Alfred O. Hero

The aim of this paper is to provide several novel upper bounds on the excess risk with a primal focus on classification problems. We suggest two approaches and the obtained bounds are represented via the distribution dependent local…

统计理论 · 数学 2018-03-13 Nikita Zhivotovskiy

We consider the problem of multi-task learning in the high dimensional setting. In particular, we introduce an estimator and investigate its statistical and computational properties for the problem of multiple connected linear regressions…

机器学习 · 统计学 2023-07-03 Amir Asiaee , Samet Oymak , Kevin R. Coombes , Arindam Banerjee

Hierarchical Reinforcement Learning (HRL) approaches have shown successful results in solving a large variety of complex, structured, long-horizon problems. Nevertheless, a full theoretical understanding of this empirical evidence is…

机器学习 · 计算机科学 2025-02-05 Gianluca Drappo , Alberto Maria Metelli , Marcello Restelli