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We present a new perspective on online learning that we refer to as gradient equilibrium: a sequence of iterates achieves gradient equilibrium if the average of gradients of losses along the sequence converges to zero. In general, this…

Machine Learning · Computer Science 2025-02-19 Anastasios N. Angelopoulos , Michael I. Jordan , Ryan J. Tibshirani

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

Machine Learning · Computer Science 2022-09-02 Felix Petersen

Many methods in differentially private model training rely on computing the similarity between a query point (such as public or synthetic data) and private data. We abstract out this common subroutine and study the following fundamental…

Cryptography and Security · Computer Science 2024-03-15 Arturs Backurs , Zinan Lin , Sepideh Mahabadi , Sandeep Silwal , Jakub Tarnawski

In this paper, we consider differentially private classification when some features are sensitive, while the rest of the features and the label are not. We adapt the definition of differential privacy naturally to this setting. Our main…

Machine Learning · Computer Science 2023-12-14 Zeyu Shen , Anilesh Krishnaswamy , Janardhan Kulkarni , Kamesh Munagala

We propose a general privacy-preserving optimization-based framework for real-time environments without requiring trusted data curators. In particular, we introduce a noisy stochastic gradient descent algorithm for online statistical…

Methodology · Statistics 2025-06-11 Jinhan Xie , Enze Shi , Bei Jiang , Linglong Kong , Xuming He

Real-world data is usually segmented by attributes and distributed across different parties. Federated learning empowers collaborative training without exposing local data or models. As we demonstrate through designed attacks, even with a…

Machine Learning · Computer Science 2021-04-30 Shuang Zhang , Liyao Xiang , Xi Yu , Pengzhi Chu , Yingqi Chen , Chen Cen , Li Wang

Differential privacy is a formal, mathematical definition of data privacy that has gained traction in academia, industry, and government. The task of correctly constructing differentially private algorithms is non-trivial, and mistakes have…

Cryptography and Security · Computer Science 2021-01-05 Subhajit Roy , Justin Hsu , Aws Albarghouthi

Online learning, in the mistake bound model, is one of the most fundamental concepts in learning theory. Differential privacy, instead, is the most widely used statistical concept of privacy in the machine learning community. It is thus…

Machine Learning · Computer Science 2022-10-11 Amartya Sanyal , Giorgia Ramponi

We consider learning under the constraint of local differential privacy (LDP). For many learning problems known efficient algorithms in this model require many rounds of communication between the server and the clients holding the data…

Machine Learning · Computer Science 2019-10-29 Amit Daniely , Vitaly Feldman

We study universal consistency of non-i.i.d. processes in the context of online learning. A stochastic process is said to admit universal consistency if there exists a learner that achieves vanishing average loss for any measurable response…

Machine Learning · Computer Science 2022-07-19 Moïse Blanchard , Romain Cosson

We study a class of private learning problems in which the data is a join of private and public features. This is often the case in private personalization tasks such as recommendation or ad prediction, in which features related to…

Machine Learning · Computer Science 2023-10-25 Walid Krichene , Nicolas Mayoraz , Steffen Rendle , Shuang Song , Abhradeep Thakurta , Li Zhang

We consider the problem of online multiclass classification with partial feedback, where an algorithm predicts a class for a new instance in each round and only receives its correctness. Although several methods have been developed for this…

Machine Learning · Computer Science 2019-02-05 Takuo Kaneko , Issei Sato , Masashi Sugiyama

We study unconstrained Online Linear Optimization with Lipschitz losses. Motivated by the pursuit of instance optimality, we propose a new algorithm that simultaneously achieves ($i$) the AdaGrad-style second order gradient adaptivity; and…

Machine Learning · Computer Science 2024-02-23 Zhiyu Zhang , Heng Yang , Ashok Cutkosky , Ioannis Ch. Paschalidis

We introduce a model of online algorithms subject to strict constraints on data retention. An online learning algorithm encounters a stream of data points, one per round, generated by some stationary process. Crucially, each data point can…

Machine Learning · Computer Science 2024-04-18 Nicole Immorlica , Brendan Lucier , Markus Mobius , James Siderius

We study the task of $(\epsilon, \delta)$-differentially private online convex optimization (OCO). In the online setting, the release of each distinct decision or iterate carries with it the potential for privacy loss. This problem has a…

Cryptography and Security · Computer Science 2023-12-21 Naman Agarwal , Satyen Kale , Karan Singh , Abhradeep Guha Thakurta

We study the difficulties in learning that arise from robust and differentially private optimization. We first study convergence of gradient descent based adversarial training with differential privacy, taking a simple binary classification…

Machine Learning · Computer Science 2022-01-10 Jamie Hayes , Borja Balle , M. Pawan Kumar

We consider learning problems where the training set consists of two types of examples: private and public. The goal is to design a learning algorithm that satisfies differential privacy only with respect to the private examples. This…

Machine Learning · Computer Science 2019-10-28 Noga Alon , Raef Bassily , Shay Moran

A critical concern in data-driven processes is to build models whose outcomes do not discriminate against some demographic groups, including gender, ethnicity, or age. To ensure non-discrimination in learning tasks, knowledge of the group…

Machine Learning · Computer Science 2022-04-12 Cuong Tran , Keyu Zhu , Ferdinando Fioretto , Pascal Van Hentenryck

We prove new upper and lower bounds on the sample complexity of $(\epsilon, \delta)$ differentially private algorithms for releasing approximate answers to threshold functions. A threshold function $c_x$ over a totally ordered domain $X$…

Cryptography and Security · Computer Science 2024-12-23 Mark Bun , Kobbi Nissim , Uri Stemmer , Salil Vadhan

This paper presents a differentially private algorithm for linear regression learning in a decentralized fashion. Under this algorithm, privacy budget is theoretically derived, in addition to that the solution error is shown to be bounded…

Cryptography and Security · Computer Science 2020-04-17 Yang Liu , Xiong Zhang , Shuqi Qin , Xiaoping Lei