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Designing scalable estimation algorithms is a core challenge in modern statistics. Here we introduce a framework to address this challenge based on parallel approximants, which yields estimators with provable properties that operate on the…

统计方法学 · 统计学 2023-08-04 Aritra Chakravorty , William S. Cleveland , Patrick J. Wolfe

The Shapley value has been proposed as a solution to many applications in machine learning, including for equitable valuation of data. Shapley values are computationally expensive and involve the entire dataset. The query for a point's…

机器学习 · 计算机科学 2022-06-02 Lauren Watson , Rayna Andreeva , Hao-Tsung Yang , Rik Sarkar

We study worst-case guarantees on the expected return of fixed-dataset policy optimization algorithms. Our core contribution is a unified conceptual and mathematical framework for the study of algorithms in this regime. This analysis…

人工智能 · 计算机科学 2020-12-01 Jacob Buckman , Carles Gelada , Marc G. Bellemare

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

最优化与控制 · 数学 2026-01-05 Furan Xie , Bing Liu , Li Chai

We introduce general tools for designing efficient private estimation algorithms, in the high-dimensional settings, whose statistical guarantees almost match those of the best known non-private algorithms. To illustrate our techniques, we…

数据结构与算法 · 计算机科学 2023-11-17 Hongjie Chen , Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Jacob Imola , David Steurer , Stefan Tiegel

Spectral risk objectives - also called $L$-risks - allow for learning systems to interpolate between optimizing average-case performance (as in empirical risk minimization) and worst-case performance on a task. We develop stochastic…

机器学习 · 统计学 2022-12-13 Ronak Mehta , Vincent Roulet , Krishna Pillutla , Lang Liu , Zaid Harchaoui

In a typical supervised machine learning setting, the predictions on all test instances are based on a common subset of features discovered during model training. However, using a different subset of features that is most informative for…

机器学习 · 计算机科学 2021-06-10 Yasitha Warahena Liyanage , Daphney-Stavroula Zois , Charalampos Chelmis

In high-stakes engineering applications, optimization algorithms must come with provable worst-case guarantees over a mathematically defined class of problems. Designing for the worst case, however, inevitably sacrifices performance on the…

系统与控制 · 电气工程与系统科学 2025-08-04 Andrea Martin , Ian R. Manchester , Luca Furieri

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

最优化与控制 · 数学 2020-08-28 Filip Hanzely

A key factor in developing high performing machine learning models is the availability of sufficiently large datasets. This work is motivated by applications arising in Software as a Service (SaaS) companies where there exist numerous…

机器学习 · 计算机科学 2018-12-05 Sophia Collet , Robert Dadashi , Zahi N. Karam , Chang Liu , Parinaz Sobhani , Yevgeniy Vahlis , Ji Chao Zhang

Motivated by settings in which predictive models may be required to be non-discriminatory with respect to certain attributes (such as race), but even collecting the sensitive attribute may be forbidden or restricted, we initiate the study…

Uncertainty in optimization is often represented as stochastic parameters in the optimization model. In Predict-Then-Optimize approaches, predictions of a machine learning model are used as values for such parameters, effectively…

机器学习 · 计算机科学 2025-12-03 Pieter Smet

The problem of selecting an algorithm that appears most suitable for a specific instance of an algorithmic problem class, such as the Boolean satisfiability problem, is called instance-specific algorithm selection. Over the past decade, the…

机器学习 · 计算机科学 2021-07-21 Alexander Tornede , Lukas Gehring , Tanja Tornede , Marcel Wever , Eyke Hüllermeier

Sparse reduced rank regression is an essential statistical learning method. In the contemporary literature, estimation is typically formulated as a nonconvex optimization that often yields to a local optimum in numerical computation. Yet,…

统计方法学 · 统计学 2022-12-06 Canhong Wen , Ruipeng Dong , Xueqin Wang , Weiyu Li , Heping Zhang

The selection of the best classification algorithm for a given dataset is a very widespread problem. It is also a complex one, in the sense it requires to make several important methodological choices. Among them, in this work we focus on…

机器学习 · 计算机科学 2012-07-18 Vincent Labatut , Hocine Cherifi

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

统计方法学 · 统计学 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

In optimal experimental design, the objective is to select a limited set of experiments that maximizes information about unknown model parameters based on factor levels. This work addresses the generalized D-optimal design problem, allowing…

数据结构与算法 · 计算机科学 2024-11-05 Aditya Pillai , Gabriel Ponte , Marcia Fampa , Jon Lee , and Mohit Singh , Weijun Xie

Sampling algorithms play a pivotal role in probabilistic AI. However, verifying if a sampler program indeed samples from the claimed distribution is a notoriously hard problem. Provably correct testers like Barbarik, Teq, Flash, CubeProbe…

数据结构与算法 · 计算机科学 2025-12-09 Rishiraj Bhattacharyya , Sourav Chakraborty , Yash Pote , Uddalok Sarkar , Sayantan Sen

Benchmarks are a useful tool for empirical performance comparisons. However, one of the main shortcomings of existing benchmarks is that it remains largely unclear how they relate to real-world problems. What does an algorithm's performance…

神经与进化计算 · 计算机科学 2020-04-15 Koen van der Blom , Timo M. Deist , Tea Tušar , Mariapia Marchi , Yusuke Nojima , Akira Oyama , Vanessa Volz , Boris Naujoks

By enabling multiple agents to cooperatively solve a global optimization problem in the absence of a central coordinator, decentralized stochastic optimization is gaining increasing attention in areas as diverse as machine learning,…

最优化与控制 · 数学 2022-08-10 Yongqiang Wang , Tamer Basar