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We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

Optimization and Control · Mathematics 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

This paper considers online convex optimization (OCO) problems - the paramount framework for online learning algorithm design. The loss function of learning task in OCO setting is based on streaming data so that OCO is a powerful tool to…

Machine Learning · Computer Science 2019-11-26 Wenye Ma

The regret bound of dynamic online learning algorithms is often expressed in terms of the variation in the function sequence ($V_T$) and/or the path-length of the minimizer sequence after $T$ rounds. For strongly convex and smooth…

Machine Learning · Computer Science 2020-08-17 Ting-Jui Chang , Shahin Shahrampour

In collaborative learning (CL), multiple parties jointly train a machine learning model on their private datasets. However, data can not be shared directly due to privacy concerns. To ensure input confidentiality, cryptographic techniques,…

Cryptography and Security · Computer Science 2026-01-15 Francesco Capano , Jonas Böhler , Benjamin Weggenmann

Black-box machine learning models are used in critical decision-making domains, giving rise to several calls for more algorithmic transparency. The drawback is that model explanations can leak information about the training data and the…

Machine Learning · Computer Science 2020-06-17 Neel Patel , Reza Shokri , Yair Zick

The problem of learning threshold functions is a fundamental one in machine learning. Classical learning theory implies sample complexity of $O(\xi^{-1} \log(1/\beta))$ (for generalization error $\xi$ with confidence $1-\beta$). The private…

Machine Learning · Computer Science 2022-11-14 Edith Cohen , Xin Lyu , Jelani Nelson , Tamás Sarlós , Uri Stemmer

In many quantum tasks, there is an unknown quantum object that one wishes to learn. An online strategy for this task involves adaptively refining a hypothesis to reproduce such an object or its measurement statistics. A common evaluation…

Quantum Physics · Physics 2025-11-25 Akshay Bansal , Ian George , Soumik Ghosh , Jamie Sikora , Alice Zheng

We investigate the problem of online convex optimization with unknown delays, in which the feedback of a decision arrives with an arbitrary delay. Previous studies have presented a delayed variant of online gradient descent (OGD), and…

Machine Learning · Computer Science 2021-03-23 Yuanyu Wan , Wei-Wei Tu , Lijun Zhang

Much of modern learning theory has been split between two regimes: the classical offline setting, where data arrive independently, and the online setting, where data arrive adversarially. While the former model is often both computationally…

Machine Learning · Statistics 2022-06-01 Adam Block , Yuval Dagan , Noah Golowich , Alexander Rakhlin

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

Data Structures and Algorithms · Computer Science 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

We study regret minimization in finite horizon tabular Markov decision processes (MDPs) under the constraints of differential privacy (DP). This is motivated by the widespread applications of reinforcement learning (RL) in real-world…

Machine Learning · Computer Science 2021-12-21 Sayak Ray Chowdhury , Xingyu Zhou

By ensuring differential privacy in the learning algorithms, one can rigorously mitigate the risk of large models memorizing sensitive training data. In this paper, we study two algorithms for this purpose, i.e., DP-SGD and DP-NSGD, which…

Machine Learning · Computer Science 2022-06-28 Xiaodong Yang , Huishuai Zhang , Wei Chen , Tie-Yan Liu

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

Machine Learning · Computer Science 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

Online linear programming (OLP) has found broad applications in revenue management and resource allocation. State-of-the-art OLP algorithms achieve low regret by repeatedly solving linear programming (LP) subproblems that incorporate…

Machine Learning · Statistics 2025-11-04 Jingruo Sun , Wenzhi Gao , Ellen Vitercik , Yinyu Ye

Differential privacy (DP) is crucial for safeguarding sensitive client information in federated learning (FL), yet traditional DP-FL methods rely predominantly on fixed gradient clipping thresholds. Such static clipping neglects significant…

Cryptography and Security · Computer Science 2026-03-26 Hao Zhou , Siqi Cai , Hua Dai , Geng Yang , Jing Luo , Hui Cai

Data-driven algorithm design, that is, choosing the best algorithm for a specific application, is a crucial problem in modern data science. Practitioners often optimize over a parameterized algorithm family, tuning parameters based on…

Machine Learning · Computer Science 2018-10-23 Maria-Florina Balcan , Travis Dick , Ellen Vitercik

We consider a family of learning strategies for online optimization problems that evolve in continuous time and we show that they lead to no regret. From a more traditional, discrete-time viewpoint, this continuous-time approach allows us…

Optimization and Control · Mathematics 2014-02-28 Joon Kwon , Panayotis Mertikopoulos

Online linear programming (OLP) has gained significant attention from both researchers and practitioners due to its extensive applications, such as online auction, network revenue management, order fulfillment and advertising. Existing OLP…

Data Structures and Algorithms · Computer Science 2025-11-18 Guokai Li , Zizhuo Wang , Jingwei Zhang

We study the problem of online learning with non-convex losses, where the learner has access to an offline optimization oracle. We show that the classical Follow the Perturbed Leader (FTPL) algorithm achieves optimal regret rate of…

Machine Learning · Computer Science 2019-09-24 Arun Sai Suggala , Praneeth Netrapalli

Recently differential privacy has been used for a number of streaming, data structure, and dynamic graph problems as a means of hiding the internal randomness of the data structure, so that multiple possibly adaptive queries can be made…

Data Structures and Algorithms · Computer Science 2025-06-09 Shiyuan Feng , Ying Feng , George Z. Li , Zhao Song , David P. Woodruff , Lichen Zhang