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Optimal transport (OT) theory describes general principles to define and select, among many possible choices, the most efficient way to map a probability measure onto another. That theory has been mostly used to estimate, given a pair of…

Machine Learning · Computer Science 2023-04-03 Charlotte Bunne , Andreas Krause , Marco Cuturi

Recent research has suggested that the brain is more shallow than previously thought, challenging the traditionally assumed hierarchical structure of the ventral visual pathway. Here, we demonstrate that optimizing convolutional network…

Neural and Evolutionary Computing · Computer Science 2025-05-02 Lukas Kuhn , Sari Saba-Sadiya , Gemma Roig

Optimal power flow problems (OPFs) are mathematical programs used to determine how to distribute power over networks subject to network operation constraints and the physics of power flows. In this work, we take the view of treating an OPF…

Optimization and Control · Mathematics 2020-03-06 Fengyu Zhou , James Anderson , Steven H. Low

This article gives an overview of a normative computational theory of visual receptive fields, by which idealized functional models of early spatial, spatio-chromatic and spatio-temporal receptive fields can be derived in an axiomatic way…

Neurons and Cognition · Quantitative Biology 2021-01-25 Tony Lindeberg

In this paper we develop a geometrical model of functional architecture for the processing of spatio-temporal visual stimuli. The model arises from the properties of the receptive field linear dynamics of orientation and speed-selective…

Analysis of PDEs · Mathematics 2013-05-06 Davide Barbieri , Giovanna Citti , Giacomo Cocci , Alessandro Sarti

In this study, we investigated the application of bio-inspired optimization algorithms, including Genetic Algorithm, Particle Swarm Optimization, and Whale Optimization Algorithm, for feature selection in chronic disease prediction. The…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Abeer Dyoub , Ivan Letteri

The design of neural hardware is informed by the prominence of differentiated processing and information integration in cognitive systems. The central role of communication leads to the principal assumption of the hardware platform: signals…

Neural and Evolutionary Computing · Computer Science 2018-05-28 Jeffrey M. Shainline , Sonia M. Buckley , Adam N. McCaughan , Jeff Chiles , Richard P. Mirin , Sae Woo Nam

It has been argued that the emergence of roughly periodic orientation preference maps (OPMs) in the primary visual cortex (V1) of carnivores and primates can be explained by a so-called statistical connectivity model. This model assumes…

Neurons and Cognition · Quantitative Biology 2023-10-18 Manuel Schottdorf , Stephen J. Eglen , Fred Wolf , Wolfgang Keil

Ordinal Embedding places n objects into R^d based on comparisons such as "a is closer to b than c." Current optimization-based approaches suffer from scalability problems and an abundance of low quality local optima. We instead consider a…

Computational Geometry · Computer Science 2018-05-22 Jesse Anderton , Virgil Pavlu , Javed Aslam

We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline…

Optimization and Control · Mathematics 2019-11-20 Laurent Younes , Kwame S. Kutten , J. Tilak Ratnanather

Imaging neuroscience links brain activation maps to behavior and cognition via correlational studies. Due to the nature of the individual experiments, based on eliciting neural response from a small number of stimuli, this link is…

Machine Learning · Statistics 2013-11-21 Yannick Schwartz , Bertrand Thirion , Gaël Varoquaux

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

Radar charts are widely used to visualize multivariate data and compare multiple profiles across features. However, the visual clarity of radar charts can be severely compromised when feature values alternate drastically in magnitude around…

Human-Computer Interaction · Computer Science 2025-10-24 Albert Dorador

We propose a computationally efficient method to solve the dynamics of operators of bosonic quantum systems coupled to their environments. The method maps the operator under interest to a set of complex-valued functions, and its adjoint…

Optimal control problems (OCPs) involve finding a control function for a dynamical system such that a cost functional is optimized. It is central to physical systems in both academia and industry. In this paper, we propose a novel…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Mingquan Feng , Zhijie Chen , Yixin Huang , Yizhou Liu , Junchi Yan

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

Artificial Intelligence · Computer Science 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

Some geometric properties of the wavelet analysis performed by visual neurons are discussed and compared with experimental data. In particular, several relationships between the cortical morphologies and the parametric dependencies of…

Neurons and Cognition · Quantitative Biology 2016-01-20 Davide Barbieri

Brain can be represented as a network, where regions are the nodes and relations between the regions are edges. Within a network, co-existence of cooperative and competitive relationships between different nodes is called coopetition.…

Neurons and Cognition · Quantitative Biology 2018-02-13 Subhadip Paul , Satyam Mukherjee , Sagnik Bhattacharyya

We study a spatiotemporal service matching problem in which demand, heterogeneous in location and time sensitivity/preference, is to be assigned to service stations. The planner seeks to maximize social welfare, defined as total service…

Theoretical Economics · Economics 2026-03-17 Mingyang Fu , Ming Hu

Optimization problems in engineering and applied mathematics are typically solved in an iterative fashion, by systematically adjusting the variables of interest until an adequate solution is found. The iterative algorithms that govern these…

Optimization and Control · Mathematics 2022-05-31 Laurent Lessard
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