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Offline design optimization problem arises in numerous science and engineering applications including material and chemical design, where expensive online experimentation necessitates the use of in silico surrogate functions to predict and…

Machine Learning · Computer Science 2025-03-05 Minh Hoang , Azza Fadhel , Aryan Deshwal , Janardhan Rao Doppa , Trong Nghia Hoang

A novel Follow-the-Perturbed-Leader type algorithm is proposed and analyzed for solving general long-term constrained optimization problems in an online manner, where the target and constraint functions are oblivious adversarially generated…

Optimization and Control · Mathematics 2025-10-02 Shijie Pan , Jianyu Xu , Wenjie Huang

In many online learning problems we are interested in predicting local information about some universe of items. For example, we may want to know whether two items are in the same cluster rather than computing an assignment of items to…

Machine Learning · Computer Science 2014-03-24 Paul Christiano

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

Machine Learning · Computer Science 2019-04-09 Amit Daniely , Yishay Mansour

In this paper we design a novel class of online distributed optimization algorithms leveraging control theoretical techniques. We start by focusing on quadratic costs, and assuming to know an internal model of their variation. In this…

Optimization and Control · Mathematics 2026-01-21 Wouter J. A. van Weerelt , Nicola Bastianello

We introduce a new rounding technique designed for online optimization problems, which is related to contention resolution schemes, a technique initially introduced in the context of submodular function maximization. Our rounding technique,…

Data Structures and Algorithms · Computer Science 2015-10-15 Moran Feldman , Ola Svensson , Rico Zenklusen

We resolve the fundamental problem of online decoding with general $n^{th}$ order ergodic Markov chain models. Specifically, we provide deterministic and randomized algorithms whose performance is close to that of the optimal offline…

Machine Learning · Computer Science 2019-05-31 Vikas K. Garg , Tamar Pichkhadze

Optimal control theory and machine learning techniques are combined to formulate and solve in closed form an optimal control formulation of online learning from supervised examples with regularization of the updates. The connections with…

Optimization and Control · Mathematics 2016-12-15 Giorgio Gnecco , Alberto Bemporad , Marco Gori , Marcello Sanguineti

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

Machine Learning · Computer Science 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

We consider online learning with linear models, where the algorithm predicts on sequentially revealed instances (feature vectors), and is compared against the best linear function (comparator) in hindsight. Popular algorithms in this…

Machine Learning · Computer Science 2019-02-21 Michał Kempka , Wojciech Kotłowski , Manfred K. Warmuth

Binary linear classification has been explored since the very early days of the machine learning literature. Perhaps the most classical algorithm is the Perceptron, where a weight vector used to classify examples is maintained, and additive…

Machine Learning · Computer Science 2020-11-18 Rafael Hanashiro , Jacob Abernethy

We consider Lagrangian duality based approaches to design and analyze algorithms for online energy-efficient scheduling. First, we present a primal-dual framework. Our approach makes use of the Lagrangian weak duality and convexity to…

Data Structures and Algorithms · Computer Science 2014-08-06 Nguyen Kim Thang

We develop a framework for designing simple and efficient policies for a family of online allocation and pricing problems, that includes online packing, budget-constrained probing, dynamic pricing, and online contextual bandits with…

Optimization and Control · Mathematics 2020-08-03 Alberto Vera , Siddhartha Banerjee , Itai Gurvich

The state-of-the-art online learning models generally conduct a single online gradient descent when a new sample arrives and thus suffer from suboptimal model weights. To this end, we introduce an online broad learning system framework with…

Machine Learning · Computer Science 2025-12-09 Chunyu Lei , Guang-Ze Chen , C. L. Philip Chen , Tong Zhang

We consider online learning problems under a partial observability model capturing situations where the information conveyed to the learner is between full information and bandit feedback. In the simplest variant, we assume that in addition…

Machine Learning · Computer Science 2026-04-28 Tomas Kocak , Gergely Neu , Michal Valko , Remi Munos

In many problems in machine learning and operations research, we need to optimize a function whose input is a random variable or a probability density function, i.e. to solve optimization problems in an infinite dimensional space. On the…

Machine Learning · Computer Science 2019-02-11 Changbo Zhu , Huan Xu

We study an online mixed discrete and continuous optimization problem where a decision maker interacts with an unknown environment for a number of $T$ rounds. At each round, the decision maker needs to first jointly choose a discrete and a…

Optimization and Control · Mathematics 2024-08-27 Lintao Ye , Ming Chi , Zhi-Wei Liu , Xiaoling Wang , Vijay Gupta

The problem of online checkpointing is a classical problem with numerous applications which had been studied in various forms for almost 50 years. In the simplest version of this problem, a user has to maintain $k$ memorized checkpoints…

Cryptography and Security · Computer Science 2019-06-20 Achiya Bar-On , Itai Dinur , Orr Dunkelman , Rani Hod , Nathan Keller , Eyal Ronen , Adi Shamir

We analyze and evaluate an online gradient descent algorithm with adaptive per-coordinate adjustment of learning rates. Our algorithm can be thought of as an online version of batch gradient descent with a diagonal preconditioner. This…

Machine Learning · Computer Science 2010-02-26 Matthew Streeter , H. Brendan McMahan

In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

Machine Learning · Computer Science 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou
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