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We consider online learning in an adversarial, non-convex setting under the assumption that the learner has an access to an offline optimization oracle. In the general setting of prediction with expert advice, Hazan et al. (2016)…

Machine Learning · Computer Science 2019-05-30 Naman Agarwal , Alon Gonen , Elad Hazan

Robust optimization is a common framework in optimization under uncertainty when the problem parameters are not known, but it is rather known that the parameters belong to some given uncertainty set. In the robust optimization framework the…

Optimization and Control · Mathematics 2014-02-27 Aharon Ben-Tal , Elad Hazan , Tomer Koren , Shie Mannor

While powerful tools have been developed to analyze quantum query complexity, there are still many natural problems that do not fit neatly into the black box model of oracles. We create a new model that allows multiple oracles with…

Quantum Physics · Physics 2016-04-12 Shelby Kimmel , Cedric Yen-Yu Lin , Han-Hsuan Lin

Network adaptation is essential for the efficient operation of Cloud-RANs. Unfortunately, it leads to highly intractable mixed-integer nonlinear programming problems. Existing solutions typically rely on convex relaxation, which yield…

Signal Processing · Electrical Eng. & Systems 2018-09-18 Yifei Shen , Yuanming Shi , Jun Zhang , Khaled B. Letaief

Traditional online algorithms encapsulate decision making under uncertainty, and give ways to hedge against all possible future events, while guaranteeing a nearly optimal solution as compared to an offline optimum. On the other hand,…

Data Structures and Algorithms · Computer Science 2020-08-24 Thodoris Lykouris , Sergei Vassilvitskii

Decision making in cloud environments is quite challenging due to the diversity in service offerings and pricing models, especially considering that the cloud market is an incredibly fast moving one. In addition, there are no hard and fast…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Faiza Samreen , Yehia Elkhatib , Matthew Rowe , Gordon S. Blair

We study the problems of offline and online contextual optimization with feedback information, where instead of observing the loss, we observe, after-the-fact, the optimal action an oracle with full knowledge of the objective function would…

Machine Learning · Computer Science 2023-07-04 Omar Besbes , Yuri Fonseca , Ilan Lobel

Machine learning contrasts with traditional software development in that the oracle is the data, and the data is not always a correct representation of the problem that machine learning tries to model. We present a survey of the oracle…

Machine Learning · Computer Science 2021-05-05 Diogo Seca

Algorithms for bandit convex optimization and online learning often rely on constructing noisy gradient estimates, which are then used in appropriately adjusted first-order algorithms, replacing actual gradients. Depending on the properties…

Machine Learning · Computer Science 2020-07-07 Xiaowei Hu , Prashanth L. A. , András György , Csaba Szepesvári

We consider the problem of minimizing a composite convex function with two different access methods: an oracle, for which we can evaluate the value and gradient, and a structured function, which we access only by solving a convex…

Optimization and Control · Mathematics 2021-11-30 Xinyue Shen , Alnur Ali , Stephen Boyd

We present a convex optimization framework for overcoming the limitations of Kubernetes Cluster Autoscaler by intelligently allocating diverse cloud resources while minimizing costs and fragmentation. Current Kubernetes scaling mechanisms…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-28 Shayan Boghani , Emin Kirimlioglu , Amrita Moturi , Hao-Ting Tso

Conventionally, the resource allocation is formulated as an optimization problem and solved online with instantaneous scenario information. Since most resource allocation problems are not convex, the optimal solutions are very difficult to…

Machine Learning · Computer Science 2017-12-20 Jun-Bo Wang , Junyuan Wang , Yongpeng Wu , Jin-Yuan Wang , Huiling Zhu , Min Lin , Jiangzhou Wang

We introduce the concept of AI-oracle machines for intelligent computing and outline several applications to demonstrate their potential. Following this, we advocate for the development of a comprehensive platform to streamline the…

Computation and Language · Computer Science 2024-10-17 Jie Wang

We analyze general model selection procedures using penalized empirical loss minimization under computational constraints. While classical model selection approaches do not consider computational aspects of performing model selection, we…

Machine Learning · Statistics 2012-08-02 Alekh Agarwal , Peter L. Bartlett , John C. Duchi

Optimization models are fundamental tools for providing quantitative insights to decision-makers. However, models, objectives, and constraints do not capture all real-world factors accurately. Thus, instead of the single optimal solution,…

Optimization and Control · Mathematics 2025-11-20 E. M. Turan , S. Moret , A. Bardow

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

Machine Learning · Statistics 2018-10-30 Dimitris Bertsimas , Christopher McCord

While recent work suggests that quantum computers can speed up the solution of semidefinite programs, little is known about the quantum complexity of more general convex optimization. We present a quantum algorithm that can optimize a…

Quantum Physics · Physics 2020-01-15 Shouvanik Chakrabarti , Andrew M. Childs , Tongyang Li , Xiaodi Wu

Many real-life optimization problems frequently contain one or more constraints or objectives for which there are no explicit formulas. If data is however available, these data can be used to learn the constraints. The benefits of this…

Machine Learning · Computer Science 2022-09-23 Adejuyigbe Fajemisin , Donato Maragno , Dick den Hertog

A popular line of recent research incorporates ML advice in the design of online algorithms to improve their performance in typical instances. These papers treat the ML algorithm as a black-box, and redesign online algorithms to take…

Machine Learning · Computer Science 2022-05-19 Keerti Anand , Rong Ge , Debmalya Panigrahi

The classical algorithms for online learning and decision-making have the benefit of achieving the optimal performance guarantees, but suffer from computational complexity limitations when implemented at scale. More recent sophisticated…

Machine Learning · Computer Science 2022-10-19 Guanghui Wang , Zihao Hu , Vidya Muthukumar , Jacob Abernethy
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