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This paper presents a study of the inherent structural properties of Krylov subspaces, in particular for the self-adjoint class of operators, and how they relate with the important phenomenon of `Krylov solvability' of linear inverse…

Functional Analysis · Mathematics 2024-10-31 Noè Angelo Caruso

Collaborative machine learning settings like federated learning can be susceptible to adversarial interference and attacks. One class of such attacks is termed model inversion attacks, characterised by the adversary reverse-engineering the…

Machine Learning · Computer Science 2022-03-02 Dmitrii Usynin , Daniel Rueckert , Georgios Kaissis

We propose a new relative-error inexact version of the alternating direction method of multipliers (ADMM) for convex optimization. We prove the asymptotic convergence of our main algorithm as well as pointwise and ergodic…

Optimization and Control · Mathematics 2024-09-17 M. Marques Alves , M. Geremia

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

We abstract and study \emph{reachability preservers}, a graph-theoretic primitive that has been implicit in prior work on network design. Given a directed graph $G = (V, E)$ and a set of \emph{demand pairs} $P \subseteq V \times V$, a…

Data Structures and Algorithms · Computer Science 2023-11-23 Amir Abboud , Greg Bodwin

We consider the task of fitting a regression model involving interactions among a potentially large set of covariates, in which we wish to enforce strong heredity. We propose FAMILY, a very general framework for this task. Our proposal is a…

Machine Learning · Statistics 2019-03-13 Asad Haris , Daniela Witten , Noah Simon

Explaining algorithmic decisions and recommending actionable feedback is increasingly important for machine learning applications. Recently, significant efforts have been invested in finding a diverse set of recourses to cover the wide…

Machine Learning · Computer Science 2023-02-23 Duy Nguyen , Ngoc Bui , Viet Anh Nguyen

Deep neural networks have been proved that they are vulnerable to adversarial examples, which are generated by adding human-imperceptible perturbations to images. To defend these adversarial examples, various detection based methods have…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Kejiang Chen , Yuefeng Chen , Hang Zhou , Chuan Qin , Xiaofeng Mao , Weiming Zhang , Nenghai Yu

Fairness and privacy are two important concerns in social decision-making processes such as resource allocation. We study privacy in the fair allocation of indivisible resources using the well-established framework of differential privacy.…

Computer Science and Game Theory · Computer Science 2025-06-17 Pasin Manurangsi , Warut Suksompong

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

Computer Science and Game Theory · Computer Science 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

The shooting method is used to solve a boundary value problem with separated and explicit constraints. To obtain approximations of an unknown initial values there are considered arguments based on the adjoint differential system attached to…

Numerical Analysis · Mathematics 2022-10-06 Ernest Scheiber

A recent body of work addresses safety constraints in explore-and-exploit systems. Such constraints arise where, for example, exploration is carried out by individuals whose welfare should be balanced with overall welfare. In this paper, we…

Computer Science and Game Theory · Computer Science 2020-06-09 Gal Bahar , Omer Ben-Porat , Kevin Leyton-Brown , Moshe Tennenholtz

Petri nets are a classical model of concurrency widely used and studied in formal verification with many applications in modeling and analyzing hardware and software, data bases, and reactive systems. The reachability problem is central…

Logic in Computer Science · Computer Science 2022-10-19 Jérôme Leroux

We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

Optimization and Control · Mathematics 2023-04-04 Dingran Yi , Nikolaos M. Freris

We present an extension of two policy-iteration based algorithms on weighted graphs (viz., Markov Decision Problems and Max-Plus Algebras). This extension allows us to solve the following inverse problem: considering the weights of the…

Discrete Mathematics · Computer Science 2009-11-18 Laurent Fribourg , Etienne André

In this paper, we propose a new algorithm for exploratory projection pursuit. The basis of the algorithm is the insight that previous approaches used fairly narrow definitions of interestingness / non interestingness. We argue that allowing…

Methodology · Statistics 2011-12-20 Mohit Dayal

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

Optimization and Control · Mathematics 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

In this paper we consider multi-objective reinforcement learning where the objectives are balanced using preferences. In practice, the preferences are often given in an adversarial manner, e.g., customers can be picky in many applications.…

Machine Learning · Computer Science 2021-10-29 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

In multiple domains such as malware detection, automated driving systems, or fraud detection, classification algorithms are susceptible to being attacked by malicious agents willing to perturb the value of instance covariates to pursue…

Machine Learning · Statistics 2025-07-10 Victor Gallego , Roi Naveiro , Alberto Redondo , David Rios Insua , Fabrizio Ruggeri

Mixtures of classifiers (a.k.a. randomized ensembles) have been proposed as a way to improve robustness against adversarial attacks. However, it has been shown that existing attacks are not well suited for this kind of classifiers. In this…

Machine Learning · Computer Science 2023-07-21 Lucas Gnecco Heredia , Benjamin Negrevergne , Yann Chevaleyre
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