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Stochastic Approximation has been a prominent set of tools for solving problems with noise and uncertainty. Increasingly, it becomes important to solve optimization problems wherein there is noise in both a set of constraints that a…

Optimization and Control · Mathematics 2025-07-29 Francisco Facchinei , Vyacheslav Kungurtsev

The goal of this work is to localize sound sources in visual scenes with a self-supervised approach. Contrastive learning in the context of sound source localization leverages the natural correspondence between audio and visual signals…

Computer Vision and Pattern Recognition · Computer Science 2022-11-04 Sooyoung Park , Arda Senocak , Joon Son Chung

We propose a robust adversarial prediction framework for general multiclass classification. Our method seeks predictive distributions that robustly optimize non-convex and non-continuous multiclass loss metrics against the worst-case…

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

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

Many defensive measures in cyber security are still dominated by heuristics, catalogs of standard procedures, and best practices. Considering the case of data backup strategies, we aim towards mathematically modeling the underlying threat…

Cryptography and Security · Computer Science 2021-02-15 Pascal Debus , Nicolas Müller , Konstantin Böttinger

Contrastive representation learning encourages data representation to make semantically similar pairs closer than randomly drawn negative samples, which has been successful in various domains such as vision, language, and graphs. Recent…

Machine Learning · Computer Science 2022-05-31 Han Bao , Yoshihiro Nagano , Kento Nozawa

We provide a novel computer-assisted technique for systematically analyzing first-order methods for optimization. In contrast with previous works, the approach is particularly suited for handling sublinear convergence rates and stochastic…

Optimization and Control · Mathematics 2021-12-22 Adrien Taylor , Francis Bach

In this paper, we study contrastive learning from an optimization perspective, aiming to analyze and address a fundamental issue of existing contrastive learning methods that either rely on a large batch size or a large dictionary of…

Machine Learning · Computer Science 2022-09-22 Zhuoning Yuan , Yuexin Wu , Zi-Hao Qiu , Xianzhi Du , Lijun Zhang , Denny Zhou , Tianbao Yang

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

When a black-box optimization objective can only be evaluated with costly or noisy measurements, most standard optimization algorithms are unsuited to find the optimal solution. Specialized algorithms that deal with exactly this situation…

Machine Learning · Computer Science 2021-06-11 Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

Contrastive learning has significantly improved representation quality, enhancing knowledge transfer across tasks in continual learning (CL). However, catastrophic forgetting remains a key challenge, as contrastive based methods primarily…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Trung-Anh Dang , Vincent Nguyen , Ngoc-Son Vu , Christel Vrain

An optimization of caching strategies is proposed as a formal approach allowing us a more efficient use of two-level computer memory. This approach is based on a set of mathematical models and a set of theorems, permitting analytical…

Optimization and Control · Mathematics 2007-05-23 V. O. Groppen

The design of effective online caching policies is an increasingly important problem for content distribution networks, online social networks and edge computing services, among other areas. This paper proposes a new algorithmic toolbox for…

Networking and Internet Architecture · Computer Science 2022-10-21 Naram Mhaisen , George Iosifidis , Douglas Leith

Many real-world decision processes are modeled by optimization problems whose defining parameters are unknown and must be inferred from observable data. The Predict-Then-Optimize framework uses machine learning models to predict unknown…

Machine Learning · Computer Science 2023-11-23 James Kotary , Vincenzo Di Vito , Jacob Christopher , Pascal Van Hentenryck , Ferdinando Fioretto

In this paper, we propose algorithms that exploit negative curvature for solving noisy nonlinear nonconvex unconstrained optimization problems. We consider both deterministic and stochastic inexact settings, and develop two-step algorithms…

Optimization and Control · Mathematics 2024-11-18 Albert S. Berahas , Raghu Bollapragada , Wanping Dong

One method to solve expensive black-box optimization problems is to use a surrogate model that approximates the objective based on previous observed evaluations. The surrogate, which is cheaper to evaluate, is optimized instead to find an…

Optimization and Control · Mathematics 2021-05-28 Rickard Karlsson , Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

Self-supervised contrastive learning frameworks have progressed rapidly over the last few years. In this paper, we propose a novel loss function for contrastive learning. We model our pre-training task as a binary classification problem to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Siladittya Manna , Umapada Pal , Saumik Bhattacharya

Contrastive representation learning has proven to be an effective self-supervised learning method. Most successful approaches are based on Noise Contrastive Estimation (NCE) and use different views of an instance as positives that should be…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Julien Denize , Jaonary Rabarisoa , Astrid Orcesi , Romain Hérault , Stéphane Canu

Combinatorial optimization assumes that all parameters of the optimization problem, e.g. the weights in the objective function is fixed. Often, these weights are mere estimates and increasingly machine learning techniques are used to for…

Machine Learning · Computer Science 2019-11-25 Jaynta Mandi , Emir Demirović , Peter. J Stuckey , Tias Guns