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We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

Data Structures and Algorithms · Computer Science 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

The facility location with strategic agents is a canonical problem in the literature on mechanism design without money. Recently, Agrawal et. al. considered this problem in the context of machine learning augmented algorithms, where the…

Computer Science and Game Theory · Computer Science 2024-10-11 Qingyun Chen , Nick Gravin , Sungjin Im

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

Machine Learning · Computer Science 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

The paper addresses the problem of optimization of a guaranteed (worst case) result for a control system driven by a controlling side in presence of a dynamical disturbance. The disturbances as functions of time are subject to functional…

Optimization and Control · Mathematics 2015-05-29 Dmitrii Serkov

In the framework of prediction of individual sequences, sequential prediction methods are to be constructed that perform nearly as well as the best expert from a given class. We consider prediction strategies that compete with the class of…

Machine Learning · Computer Science 2012-07-12 András Gyorgy , Tamás Linder , Gábor Lugosi

In comparison to classical shallow representation learning techniques, deep neural networks have achieved superior performance in nearly every application benchmark. But despite their clear empirical advantages, it is still not well…

Machine Learning · Computer Science 2022-01-11 Calvin Murdock , George Cazenavette , Simon Lucey

The framework of reinforcement learning or optimal control provides a mathematical formalization of intelligent decision making that is powerful and broadly applicable. While the general form of the reinforcement learning problem enables…

Machine Learning · Computer Science 2018-05-22 Sergey Levine

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

Max-cut, clustering, and many other partitioning problems that are of significant importance to machine learning and other scientific fields are NP-hard, a reality that has motivated researchers to develop a wealth of approximation…

Data Structures and Algorithms · Computer Science 2018-10-17 Maria-Florina Balcan , Vaishnavh Nagarajan , Ellen Vitercik , Colin White

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Priority queues are one of the most fundamental and widely used data structures in computer science. Their primary objective is to efficiently support the insertion of new elements with assigned priorities and the extraction of the highest…

Data Structures and Algorithms · Computer Science 2024-11-19 Ziyad Benomar , Christian Coester

Providing generalization guarantees for stochastic optimization algorithms remains a key challenge in learning theory. Recently, numerous works demonstrated the impact of the geometric properties of optimization trajectories on…

Machine Learning · Computer Science 2026-01-23 Mario Tuci , Lennart Bastian , Benjamin Dupuis , Nassir Navab , Tolga Birdal , Umut Şimşekli

In moldable job scheduling, we are provided $m$ identical machines and $n$ jobs that can be executed on a variable number of machines. The execution time of each job depends on the number of machines assigned to execute that job. For the…

Data Structures and Algorithms · Computer Science 2026-01-07 Klaus Jansen , Felix Ohnesorge

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

In the context of Markov decision processes running in continuous time, one of the most intriguing challenges is the efficient approximation of finite horizon reachability objectives. A multitude of sophisticated model checking algorithms…

Systems and Control · Computer Science 2015-08-03 Yuliya Butkova , Hassan Hatefi , Holger Hermanns , Jan Krcal

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

Machine Learning · Computer Science 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

Finding tight bounds on the optimal solution is a critical element of practical solution methods for discrete optimization problems. In the last decade, decision diagrams (DDs) have brought a new perspective on obtaining upper and lower…

Artificial Intelligence · Computer Science 2019-02-28 Quentin Cappart , Emmanuel Goutierre , David Bergman , Louis-Martin Rousseau

Machine learning algorithms, especially Neural Networks (NNs), are a valuable tool used to approximate non-linear relationships, like the AC-Optimal Power Flow (AC-OPF), with considerable accuracy -- and achieving a speedup of several…

Machine Learning · Computer Science 2023-03-24 Rahul Nellikkath , Spyros Chatzivasileiadis

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

Optimization and Control · Mathematics 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur