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This paper provides a general technique for lower bounding the Bayes risk of statistical estimation, applicable to arbitrary loss functions and arbitrary prior distributions. A lower bound on the Bayes risk not only serves as a lower bound…

Statistics Theory · Mathematics 2016-12-26 Xi Chen , Adityanand Guntuboyina , Yuchen Zhang

The promise of least-privilege learning -- to find feature representations that are useful for a learning task but prevent inference of any sensitive information unrelated to this task -- is highly appealing. However, so far this concept…

Machine Learning · Computer Science 2024-06-27 Theresa Stadler , Bogdan Kulynych , Michael C. Gastpar , Nicolas Papernot , Carmela Troncoso

Recent research demonstrated that training large language models involves memorization of a significant fraction of training data. Such memorization can lead to privacy violations when training on sensitive user data and thus motivates the…

Machine Learning · Computer Science 2025-10-29 Vitaly Feldman , Guy Kornowski , Xin Lyu

By searching for shared inductive biases across tasks, meta-learning promises to accelerate learning on novel tasks, but with the cost of solving a complex bilevel optimization problem. We introduce and rigorously define the trade-off…

Machine Learning · Computer Science 2021-04-15 Katelyn Gao , Ozan Sener

Despite breakthrough performance, modern learning models are known to be highly vulnerable to small adversarial perturbations in their inputs. While a wide variety of recent \emph{adversarial training} methods have been effective at…

Machine Learning · Computer Science 2020-02-26 Adel Javanmard , Mahdi Soltanolkotabi , Hamed Hassani

In analyses with severe data-limitations, augmenting the target dataset with information from ancillary datasets in the application domain, called source datasets, can lead to significantly improved statistical procedures. However, existing…

Machine Learning · Statistics 2025-08-01 Nathan Wycoff , Ali Arab , Lisa O. Singh

Crowdsourced data used in machine learning services might carry sensitive information about attributes that users do not want to share. Various methods have been proposed to minimize the potential information leakage of sensitive attributes…

Machine Learning · Computer Science 2020-10-27 Han Zhao , Jianfeng Chi , Yuan Tian , Geoffrey J. Gordon

A wide range of machine learning applications such as privacy-preserving learning, algorithmic fairness, and domain adaptation/generalization among others, involve learning invariant representations of the data that aim to achieve two…

Machine Learning · Computer Science 2022-11-24 Han Zhao , Chen Dan , Bryon Aragam , Tommi S. Jaakkola , Geoffrey J. Gordon , Pradeep Ravikumar

Imbalanced classification problems are extremely common in natural language processing and are solved using a variety of resampling and filtering techniques, which often involve making decisions on how to select training data or decide…

Computation and Language · Computer Science 2022-09-02 Ryan Muther , David Smith

Personalized federated learning (PFL) offers a flexible framework for aggregating information across distributed clients with heterogeneous data. This work considers a personalized federated learning setting that simultaneously learns…

Machine Learning · Statistics 2025-06-03 Xin Yu , Zelin He , Ying Sun , Lingzhou Xue , Runze Li

We propose a theoretical framework for the problem of learning a real-valued function which meets fairness requirements. This framework is built upon the notion of $\alpha$-relative (fairness) improvement of the regression function which we…

Statistics Theory · Mathematics 2022-01-11 Evgenii Chzhen , Nicolas Schreuder

With the growing adoption of machine learning (ML) systems in areas like law enforcement, criminal justice, finance, hiring, and admissions, it is increasingly critical to guarantee the fairness of decisions assisted by ML. In this paper,…

Machine Learning · Computer Science 2024-05-17 Meiyu Zhong , Ravi Tandon

For massive and heterogeneous modern datasets, it is of fundamental interest to provide guarantees on the accuracy of estimation when computational resources are limited. In the application of learning to rank, we provide a hierarchy of…

Machine Learning · Computer Science 2016-08-23 Ashish Khetan , Sewoong Oh

Despite the widespread use of machine learning algorithms to solve problems of technological, economic, and social relevance, provable guarantees on the performance of these data-driven algorithms are critically lacking, especially when the…

Machine Learning · Computer Science 2019-03-18 Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

In statistical inference problems, we wish to obtain lower bounds on the minimax risk, that is to bound the performance of any possible estimator. A standard technique to obtain risk lower bounds involves the use of Fano's inequality. In an…

Information Theory · Computer Science 2018-04-06 Ramji Venkataramanan , Oliver Johnson

Pre-training representations (a.k.a. foundation models) has recently become a prevalent learning paradigm, where one first pre-trains a representation using large-scale unlabeled data, and then learns simple predictors on top of the…

Machine Learning · Computer Science 2023-03-02 Zhenmei Shi , Jiefeng Chen , Kunyang Li , Jayaram Raghuram , Xi Wu , Yingyu Liang , Somesh Jha

We identify a trade-off between robustness and accuracy that serves as a guiding principle in the design of defenses against adversarial examples. Although this problem has been widely studied empirically, much remains unknown concerning…

Machine Learning · Computer Science 2019-06-25 Hongyang Zhang , Yaodong Yu , Jiantao Jiao , Eric P. Xing , Laurent El Ghaoui , Michael I. Jordan

In the application of machine learning to real-life decision-making systems, e.g., credit scoring and criminal justice, the prediction outcomes might discriminate against people with sensitive attributes, leading to unfairness. The commonly…

Machine Learning · Computer Science 2022-03-21 Suyun Liu , Luis Nunes Vicente

The definition and implementation of fairness in automated decisions has been extensively studied by the research community. Yet, there hides fallacious reasoning, misleading assertions, and questionable practices at the foundations of the…

Computers and Society · Computer Science 2023-06-05 Robert Lee Poe , Soumia Zohra El Mestari

Adversarial training is among the most effective techniques to improve the robustness of models against adversarial perturbations. However, the full effect of this approach on models is not well understood. For example, while adversarial…

Machine Learning · Computer Science 2021-01-19 Mohammad Mehrabi , Adel Javanmard , Ryan A. Rossi , Anup Rao , Tung Mai
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