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A new strategy for fair supervised machine learning is proposed. The main advantages of the proposed strategy as compared to others in the literature are as follows. (a) We introduce a new smooth nonconvex surrogate to approximate the…

Machine Learning · Computer Science 2025-10-23 Zahra Khatti , Daniel P. Robinson , Frank E. Curtis

We consider online optimization with binary decision variables and convex loss functions. We design a new algorithm, binary online gradient descent (bOGD) and bound its expected dynamic regret. We provide a regret bound that holds for any…

Optimization and Control · Mathematics 2022-01-21 Antoine Lesage-Landry , Joshua A. Taylor , Duncan S. Callaway

In this paper, we investigate the framework of Online Convex Optimization (OCO) for online learning. OCO offers a very powerful online learning framework for many applications. In this context, we study a specific framework of OCO called…

Machine Learning · Computer Science 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

The theory of discrete-time online learning has been successfully applied in many problems that involve sequential decision-making under uncertainty. However, in many applications including contractual hiring in online freelancing platforms…

Machine Learning · Computer Science 2020-07-27 Semih Cayci , Swati Gupta , Atilla Eryilmaz

We study the problem of safe online convex optimization, where the action at each time step must satisfy a set of linear safety constraints. The goal is to select a sequence of actions to minimize the regret without violating the safety…

Machine Learning · Computer Science 2021-11-16 Sapana Chaudhary , Dileep Kalathil

We introduce and study online conversion with switching costs, a family of online problems that capture emerging problems at the intersection of energy and sustainability. In this problem, an online player attempts to purchase…

Data Structures and Algorithms · Computer Science 2024-11-11 Adam Lechowicz , Nicolas Christianson , Bo Sun , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

With the introduction of machine learning in high-stakes decision making, ensuring algorithmic fairness has become an increasingly important problem to solve. In response to this, many mathematical definitions of fairness have been…

Machine Learning · Computer Science 2024-06-04 Edward Small , Wei Shao , Zeliang Zhang , Peihan Liu , Jeffrey Chan , Kacper Sokol , Flora Salim

Algorithmic decision-making in societal contexts, such as retail pricing, loan administration, recommendations on online platforms, etc., can be framed as stochastic optimization under bandit feedback, which typically requires…

Machine Learning · Computer Science 2024-10-22 Jad Salem , Swati Gupta , Vijay Kamble

The performance of online convex optimization algorithms in a dynamic environment is often expressed in terms of the dynamic regret, which measures the decision maker's performance against a sequence of time-varying comparators. In the…

Machine Learning · Computer Science 2022-02-28 Nima Eshraghi , Ben Liang

Reflecting the greater significance of recent history over the distant past in non-stationary environments, $\lambda$-discounted regret has been introduced in online convex optimization (OCO) to gracefully forget past data as new…

Machine Learning · Computer Science 2025-05-27 Wenhao Yang , Sifan Yang , Lijun Zhang

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

Machine Learning · Computer Science 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

We introduce a new online convex optimization algorithm that adaptively chooses its regularization function based on the loss functions observed so far. This is in contrast to previous algorithms that use a fixed regularization function…

Machine Learning · Computer Science 2010-07-08 H. Brendan McMahan , Matthew Streeter

This study is focused on periodic Fisher markets where items with time-dependent and stochastic values are regularly replenished and buyers aim to maximize their utilities by spending budgets on these items. Traditional approaches of…

Computer Science and Game Theory · Computer Science 2024-06-04 Yongge Yang , Yu-Ching Lee , Po-An Chen , Chuang-Chieh Lin

This paper addresses an online convex optimization problem where the cost function at each step depends on a history of past decisions (i.e., memory), and the decision maker has access to limited predictions of future cost values within a…

Optimization and Control · Mathematics 2025-12-29 Zhengmiao Wang , Zhi-Wei Liu , Ming Chi , Xiaoling Wang , Housheng Su , Lintao Ye

We consider a new and general online resource allocation problem, where the goal is to maximize a function of a positive semidefinite (PSD) matrix with a scalar budget constraint. The problem data arrives online, and the algorithm needs to…

Optimization and Control · Mathematics 2019-04-09 Reza Eghbali , James Saunderson , Maryam Fazel

Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

Data Structures and Algorithms · Computer Science 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

A speed scaling problem is considered, where time is divided into slots, and jobs with payoff $v$ arrive at the beginning of the slot with associated deadlines $d$. Each job takes one slot to be processed, and multiple jobs can be processed…

Data Structures and Algorithms · Computer Science 2017-11-15 Goonwanth Reddy , Rahul Vaze

We consider the online convex optimization problem. In the setting of arbitrary sequences and finite set of parameters, we establish a new fast-rate quantile regret bound. Then we investigate the optimization into the L1-ball by…

Statistics Theory · Mathematics 2018-05-24 Pierre Gaillard , Olivier Wintenberger

We study a variant of online convex optimization where the player is permitted to switch decisions at most $S$ times in expectation throughout $T$ rounds. Similar problems have been addressed in prior work for the discrete decision set…

Machine Learning · Computer Science 2023-09-19 Uri Sherman , Tomer Koren

Online optimization covers problems such as online resource allocation, online bipartite matching, adwords (a central problem in e-commerce and advertising), and adwords with separable concave returns. We analyze the worst case competitive…

Data Structures and Algorithms · Computer Science 2016-11-03 Reza Eghbali , Maryam Fazel