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We study the intrinsic limitations of sequential convex optimization through the lens of feedback information theory. In the oracle model of optimization, an algorithm queries an {\em oracle} for noisy information about the unknown…

Information Theory · Computer Science 2011-09-12 Maxim Raginsky , Alexander Rakhlin

In this book, I introduce the basic concepts of Online Learning through the modern view of Online Convex Optimization. Here, online learning refers to the framework of regret minimization under worst-case assumptions. I present first-order…

Machine Learning · Computer Science 2026-04-28 Francesco Orabona

The study of online decision-making problems that leverage contextual information has drawn notable attention due to their significant applications in fields ranging from healthcare to autonomous systems. In modern applications, contextual…

Machine Learning · Statistics 2025-04-22 Qiyu Han , Will Wei Sun , Yichen Zhang

This paper considers a class of real-time stochastic optimization problems dependent on an unknown probability distribution. In the considered scenario, data is streaming frequently while trying to reach a decision. Thus, we aim to devise a…

Optimization and Control · Mathematics 2020-09-08 Dan Li , Sonia Martinez

Devising efficient algorithms that track the optimizers of continuously varying convex optimization problems is key in many applications. A possible strategy is to sample the time-varying problem at constant rate and solve the resulting…

Optimization and Control · Mathematics 2017-11-28 Andrea Simonetto

Clustering consists of grouping together samples giving their similar properties. The problem of modeling simultaneously groups of samples and features is known as Co-Clustering. This paper introduces ROCCO - a Robust Continuous…

Machine Learning · Computer Science 2018-02-15 Xiao He , Luis Moreira-Matias

Many optical circuit switched data center networks (DCN) have been proposed in the past to attain higher capacity and topology reconfigurability, though commercial adoption of these architectures have been minimal. One major challenge these…

Networking and Internet Architecture · Computer Science 2020-10-02 Min Yee Teh , Shizhen Zhao , Peirui Cao , Keren Bergman

Mini-batch optimization has proven to be a powerful paradigm for large-scale learning. However, the state of the art parallel mini-batch algorithms assume synchronous operation or cyclic update orders. When worker nodes are heterogeneous…

Optimization and Control · Mathematics 2015-05-20 Hamid Reza Feyzmahdavian , Arda Aytekin , Mikael Johansson

Big data processing at the production scale presents a highly complex environment for resource optimization (RO), a problem crucial for meeting performance goals and budgetary constraints of analytical users. The RO problem is challenging…

Databases · Computer Science 2024-09-24 Chenghao Lyu , Qi Fan , Fei Song , Arnab Sinha , Yanlei Diao , Wei Chen , Li Ma , Yihui Feng , Yaliang Li , Kai Zeng , Jingren Zhou

Continual learning is the problem of learning and retaining knowledge through time over multiple tasks and environments. Research has primarily focused on the incremental classification setting, where new tasks/classes are added at discrete…

Machine Learning · Computer Science 2021-09-23 Zhipeng Cai , Ozan Sener , Vladlen Koltun

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

Data Structures and Algorithms · Computer Science 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

Many resource allocation tasks are challenging global (i.e., non-convex) optimization problems. The main issue is that the computational complexity of these problems grows exponentially in the number of variables instead of polynomially as…

Information Theory · Computer Science 2019-10-17 Bho Matthiesen , Eduard A. Jorswieck

Centered around solving the Online Saddle Point problem, this paper introduces the Online Convex-Concave Optimization (OCCO) framework, which involves a sequence of two-player time-varying convex-concave games. We propose the generalized…

Machine Learning · Computer Science 2023-12-18 Qing-xin Meng , Jian-wei Liu

Decentralized optimization over time-varying networks has a wide range of applications in distributed learning, signal processing and various distributed control problems. The agents of the distributed system locally hold optimization…

Optimization and Control · Mathematics 2023-12-14 Alexander Rogozin , Alexander Gasnikov , Aleksander Beznosikov , Dmitry Kovalev

The context-awareness of things that belong to IoT networks have to be considered in a distributed computation paradigm. In the paper we suggest the use of graph transformations and temporal logic as a formal framework for a knowledge…

Software Engineering · Computer Science 2014-08-11 Radoslaw Klimek , Leszek Kotulski

Future 5G wireless networks will rely on agile and automated network management, where the usage of diverse resources must be jointly optimized with surgical accuracy. A number of key wireless network functionalities (e.g., traffic…

We present statistical methods for big data arising from online analytical processing, where large amounts of data arrive in streams and require fast analysis without storage/access to the historical data. In particular, we develop…

Computation · Statistics 2018-06-13 Elizabeth D. Schifano , Jing Wu , Chun Wang , Jun Yan , Ming-Hui Chen

We investigate the finite-time analysis of finding ($\delta,\epsilon$)-stationary points for nonsmooth nonconvex objectives in decentralized stochastic optimization. A set of agents aim at minimizing a global function using only their local…

Optimization and Control · Mathematics 2024-06-04 Emre Sahinoglu , Shahin Shahrampour

Given the rapid rise in energy demand by data centers and computing systems in general, it is fundamental to incorporate energy considerations when designing (scheduling) algorithms. Machine learning can be a useful approach in practice by…

Data Structures and Algorithms · Computer Science 2021-12-07 Antonios Antoniadis , Peyman Jabbarzade Ganje , Golnoosh Shahkarami

Continual Learning (CL) aims to incrementally acquire new knowledge while mitigating catastrophic forgetting. Within this setting, Online Continual Learning (OCL) focuses on updating models promptly and incrementally from single or small…

Machine Learning · Computer Science 2025-12-19 Giovanni Donghi , Luca Pasa , Daniele Zambon , Cesare Alippi , Nicolò Navarin
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