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In this paper we introduce a novel consensus mech- anism where agents of a network are able to share logical values, or Booleans, representing their local opinions on e.g. the presence of an intruder or of a fire within an indoor…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Antonio Bicchi

Selective rationalization improves neural network interpretability by identifying a small subset of input features -- the rationale -- that best explains or supports the prediction. A typical rationalization criterion, i.e. maximum mutual…

Machine Learning · Computer Science 2020-03-24 Shiyu Chang , Yang Zhang , Mo Yu , Tommi S. Jaakkola

Many modern statistical estimation problems are defined by three major components: a statistical model that postulates the dependence of an output variable on the input features; a loss function measuring the error between the observed…

Optimization and Control · Mathematics 2018-10-09 Ying Cui , Jong-Shi Pang , Bodhisattva Sen

This paper presents a consensus protocol that achieves max-consensus in multi-agent systems over wireless channels. Interference, a feature of the wireless channel, is exploited: each agent receives a superposition of broadcast data, rather…

Systems and Control · Computer Science 2018-05-18 Fabio Molinari , Sławomir Stańczak , Jörg Raisch

A cutting-plane model for a nonsmooth function is the maximum of several first-order expansions centered at different points. Using such a model in a bundle method leads to linear convergence (of serious steps) to a minimum. In smooth…

Optimization and Control · Mathematics 2026-03-26 Bennet Gebken , Michael Ulbrich

Constrained submodular function maximization has been used in subset selection problems such as selection of most informative sensor locations. While these models have been quite popular, the solutions Constrained submodular function…

Data Structures and Algorithms · Computer Science 2020-10-15 Alfredo Torrico , Mohit Singh , Sebastian Pokutta , Nika Haghtalab , Joseph , Naor , Nima Anari

We consider the problem of safely coordinating ensembles of identical autonomous agents to conduct complex missions with conflicting safety requirements and under noisy control inputs. Using non-smooth control barrier functions (CBFs) and…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Clinton Enwerem , John S. Baras

A consensus-based optimization (CBO) algorithm, which enables derivative and mesh-free optimization, is presented to localize a bioluminescent source. The light propagation is modeled by the radiative transfer equation approximated by…

Quantitative Methods · Quantitative Biology 2024-11-04 Jan Friedrich , Sarah Schraven , Fabian Kiessling , Michael Herty

Multi-domain text classification (MDTC) has obtained remarkable achievements due to the advent of deep learning. Recently, many endeavors are devoted to applying adversarial learning to extract domain-invariant features to yield…

Computation and Language · Computer Science 2022-02-02 Yuan Wu , Diana Inkpen , Ahmed El-Roby

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

Diversity maximization aims to select a diverse and representative subset of items from a large dataset. It is a fundamental optimization task that finds applications in data summarization, feature selection, web search, recommender…

Data Structures and Algorithms · Computer Science 2023-04-27 Yanhao Wang , Michael Mathioudakis , Jia Li , Francesco Fabbri

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

Optimization and Control · Mathematics 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

Bayesian optimization (BO) with preference-based feedback has recently garnered significant attention due to its emerging applications. We refer to this problem as Bayesian Optimization from Human Feedback (BOHF), which differs from…

Machine Learning · Computer Science 2025-05-30 Aya Kayal , Sattar Vakili , Laura Toni , Da-shan Shiu , Alberto Bernacchia

We develop a method for training neural networks on Boolean data in which the values at all nodes are strictly $\pm 1$, and the resulting models are typically equivalent to networks whose nonzero weights are also $\pm 1$. The method…

Machine Learning · Computer Science 2026-02-20 Veit Elser , Manish Krishan Lal

The present paper considers distributed consensus algorithms that involve N agents evolving on a connected compact homogeneous manifold. The agents track no external reference and communicate their relative state according to a…

Optimization and Control · Mathematics 2008-11-27 Alain Sarlette , Rodolphe Sepulchre

Many interventions, such as vaccines in clinical trials or coupons in online marketplaces, must be assigned sequentially without full knowledge of their effects. Multi-armed bandit algorithms have proven successful in such settings.…

Machine Learning · Statistics 2026-05-07 Aidan Gleich , Eric Laber , Alexander Volfovsky

We propose a variant of consensus-based optimization (CBO) algorithms, controlled-CBO, which introduces a feedback control term to improve convergence towards global minimizers of non-convex functions in multiple dimensions. The feedback…

Optimization and Control · Mathematics 2025-07-29 Yuyang Huang , Michael Herty , Dante Kalise , Nikolas Kantas

We consider the problem of maximizing a real-valued continuous function $f$ using a Bayesian approach. Since the early work of Jonas Mockus and Antanas \v{Z}ilinskas in the 70's, the problem of optimization is usually formulated by…

Computation · Statistics 2014-08-21 Emmanuel Vazquez , Julien Bect

Reinforcement learning is the method of choice to train models in sampling-based setups with binary outcome feedback, such as navigation, code generation, and mathematical problem solving. In such settings, models implicitly induce a…

This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

Optimization and Control · Mathematics 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu
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