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Learning-to-optimize is an emerging framework that leverages training data to speed up the solution of certain optimization problems. One such approach is based on the classical mirror descent algorithm, where the mirror map is modelled…

Optimization and Control · Mathematics 2023-06-05 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang , Andreas Hauptmann , Carola-Bibiane Schönlieb

Continual learning is inherently a constrained learning problem. The goal is to learn a predictor under a no-forgetting requirement. Although several prior studies formulate it as such, they do not solve the constrained problem explicitly.…

Machine Learning · Computer Science 2024-06-03 Juan Elenter , Navid NaderiAlizadeh , Tara Javidi , Alejandro Ribeiro

A large amount of research effort has been dedicated to adapting boosting for imbalanced classification. However, boosting methods are yet to be satisfactorily immune to class imbalance, especially for multi-class problems. This is because…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Shounak Datta , Sayak Nag , Swagatam Das

The paper deals with the implicit programming approach to a class of Mathematical Programs with Equilibrium Constraints (MPECs) and bilevel programs in the case when the corresponding reduced problems are solved using a bundle method of…

Optimization and Control · Mathematics 2024-12-10 Helmut Gfrerer , Michal Kočvara , Jiří V. Outrata

In high-stakes engineering applications, optimization algorithms must come with provable worst-case guarantees over a mathematically defined class of problems. Designing for the worst case, however, inevitably sacrifices performance on the…

Systems and Control · Electrical Eng. & Systems 2025-08-04 Andrea Martin , Ian R. Manchester , Luca Furieri

Rearrangement puzzles are variations of rearrangement problems in which the elements of a problem are potentially logically linked together. To efficiently solve such puzzles, we develop a motion planning approach based on a new state space…

Robotics · Computer Science 2023-05-09 Servet B. Bayraktar , Andreas Orthey , Zachary Kingston , Marc Toussaint , Lydia E. Kavraki

Motivated by the challenge of achieving rapid learning in physical environments, this paper presents the development and training of a robotic system designed to navigate and solve a labyrinth game using model-based reinforcement learning…

Robotics · Computer Science 2023-12-18 Thomas Bi , Raffaello D'Andrea

Ensembles are a straightforward, remarkably effective method for improving the accuracy,calibration, and robustness of models on classification tasks; yet, the reasons that underlie their success remain an active area of research. We build…

Machine Learning · Statistics 2022-06-22 Neha Gupta , Jamie Smith , Ben Adlam , Zelda Mariet

We introduce two new methods for deterministic convex optimization problems: QCC (Quadratic Cuts for Convex optimization) and QB (Quadratic Bundle method). We prove the complexity of these methods for composite optimization problems which…

Optimization and Control · Mathematics 2024-10-02 Vincent Guigues , Adriana Washington

Ability to continuously learn and adapt from limited experience in nonstationary environments is an important milestone on the path towards general intelligence. In this paper, we cast the problem of continuous adaptation into the…

Machine Learning · Computer Science 2018-02-26 Maruan Al-Shedivat , Trapit Bansal , Yuri Burda , Ilya Sutskever , Igor Mordatch , Pieter Abbeel

The fundamental matrix can be estimated from point matches. The current gold standard is to bootstrap the eight-point algorithm and two-view projective bundle adjustment. The eight-point algorithm first computes a simple linear least…

Optimization and Control · Mathematics 2014-03-20 Florian Bugarin , Adrien Bartoli , Didier Henrion , Jean-Bernard Lasserre , Jean-José Orteu , Thierry Sentenac

Supervised Learning is a way of developing Artificial Intelligence systems in which a computer algorithm is trained on labeled data inputs. Effectiveness of a Supervised Learning algorithm is determined by its performance on a given dataset…

Computers and Society · Computer Science 2024-10-29 Shubhi Bansal , Atharva Tendulkar , Nagendra Kumar

We aim to design strategies for sequential decision making that adjust to the difficulty of the learning problem. We study this question both in the setting of prediction with expert advice, and for more general combinatorial decision…

Machine Learning · Computer Science 2015-03-02 Wouter M. Koolen , Tim van Erven

Backtracking line search is foundational in numerical optimization. The basic idea is to adjust the step-size of an algorithm by a constant factor until some chosen criterion (e.g. Armijo, Descent Lemma) is satisfied. We propose a novel way…

Optimization and Control · Mathematics 2025-05-28 Joao V. Cavalcanti , Laurent Lessard , Ashia C. Wilson

Active learning parallelization is widely used, but typically relies on fixing the batch size throughout experimentation. This fixed approach is inefficient because of a dynamic trade-off between cost and speed -- larger batches are more…

Machine Learning · Computer Science 2024-10-15 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Xingchen Wan , Vu Nguyen , Harald Oberhauser , Michael A. Osborne

In many recommender systems and search problems, presenting a well balanced set of results can be an important goal in addition to serving highly relevant content. For example, in a movie recommendation system, it may be helpful to achieve…

Information Retrieval · Computer Science 2023-04-25 Pannagadatta Shivaswamy

We propose a new approach for solving planning problems with a hierarchical structure, fusing reinforcement learning and MPC planning. Our formulation tightly and elegantly couples the two planning paradigms. It leverages reinforcement…

Machine Learning · Computer Science 2026-04-17 Toshiaki Hori , Jonathan DeCastro , Deepak Gopinath , Avinash Balachandran , Guy Rosman

Adversarial training can be used to learn models that are robust against perturbations. For linear models, it can be formulated as a convex optimization problem. Compared to methods proposed in the context of deep learning, leveraging the…

Machine Learning · Statistics 2025-03-20 Antônio H. RIbeiro , Thomas B. Schön , Dave Zahariah , Francis Bach

Modern reinforcement learning algorithms reach super-human performance on many board and video games, but they are sample inefficient, i.e. they typically require significantly more playing experience than humans to reach an equal…

Machine Learning · Computer Science 2018-06-12 Dane Corneil , Wulfram Gerstner , Johanni Brea

Aggregating multiple learners through an ensemble of models aim to make better predictions by capturing the underlying distribution of the data more accurately. Different ensembling methods, such as bagging, boosting, and stacking/blending,…

Machine Learning · Statistics 2020-11-03 Mohsen Shahhosseini , Guiping Hu , Hieu Pham