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Recent works on machine learning for combinatorial optimization have shown that learning based approaches can outperform heuristic methods in terms of speed and performance. In this paper, we consider the problem of finding an optimal…

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

Computational topology is an area that revisits topological problems from an algorithmic point of view, and develops topological tools for improved algorithms. We survey results in computational topology that are concerned with graphs drawn…

Computational Geometry · Computer Science 2017-09-06 Éric Colin de Verdière

Structural covariance analysis is a widely used structural MRI analysis method which characterises the co-relations of morphology between brain regions over a group of subjects. To our knowledge, little has been investigated in terms of the…

Neurons and Cognition · Quantitative Biology 2020-06-01 Jona Carmon , Jil Heege , Joe H Necus , Thomas W Owen , Gordon Pipa , Marcus Kaiser , Peter N Taylor , Yujiang Wang

Graph embedding is a powerful method to represent graph neurological data (e.g., brain connectomes) in a low dimensional space for brain connectivity mapping, prediction and classification. However, existing embedding algorithms have two…

Computer Vision and Pattern Recognition · Computer Science 2020-09-25 Alin Banka , Inis Buzi , Islem Rekik

Face parsing infers a pixel-wise label to each facial component, which has drawn much attention recently. Previous methods have shown their efficiency in face parsing, which however overlook the correlation among different face regions. The…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Gusi Te , Yinglu Liu , Wei Hu , Hailin Shi , Tao Mei

Neuromorphology is crucial to identifying neuronal subtypes and understanding learning. It is also implicated in neurological disease. However, standard morphological analysis focuses on macroscopic features such as branching frequency and…

Neurons and Cognition · Quantitative Biology 2022-03-10 Thomas L. Athey , Jacopo Teneggi , Joshua T. Vogelstein , Daniel Tward , Ulrich Mueller , Michael I. Miller

The brain transforms visual inputs into high-dimensional cortical representations that support diverse cognitive and behavioral goals. Characterizing how this information is organized and routed across the human brain is essential for…

Neurons and Cognition · Quantitative Biology 2026-05-15 Pablo Marcos-Manchón , Lluís Fuentemilla

Graph theory in the last two decades penetrated sociology, molecular biology, genetics, chemistry, computer engineering, and numerous other fields of science. One of the more recent areas of its applications is the study of the connections…

Neurons and Cognition · Quantitative Biology 2020-03-19 Balázs Szalkai , Bálint Varga , Vince Grolmusz

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph…

Social and Information Networks · Computer Science 2018-04-11 William L. Hamilton , Rex Ying , Jure Leskovec

We extend the notion of graph homomorphism to cellularly embedded graphs (maps) by designing operations on vertices and edges that respect the surface topology; we thus obtain the first definition of map homomorphism that preserves both the…

Combinatorics · Mathematics 2023-05-08 Delia Garijo , Andrew Goodall , Lluís Vena

The cerebral cortex spontaneously displays different patterns of activity that evolve over time according to the brain state. Sleep, wakefulness, resting states, and attention are examples of a wide spectrum of physiological states that can…

The behavior of many complex systems is determined by a core of densely interconnected units. While many methods are available to identify the core of a network when connections between nodes are all of the same type, a principled approach…

Neurons and Cognition · Quantitative Biology 2018-09-14 Federico Battiston , Jeremy Guillon , Mario Chavez , Vito Latora , Fabrizio De Vico Fallani

High-throughput methods for yielding the set of connections in a neural system, the connectome, are now being developed. This tutorial describes ways to analyze the topological and spatial organization of the connectome at the macroscopic…

Neurons and Cognition · Quantitative Biology 2011-12-23 Marcus Kaiser

Despite differences in brain sizes and cognitive niches among mammals, their cerebral cortices posses many common features and regularities. These regularities have been a subject of experimental investigation in neuroanatomy for the last…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jan Karbowski

Understanding how local neurophysiological patterns interact with global brain dynamics is essential for decoding human emotions from EEG signals. However, existing deep learning approaches often overlook the brain's intrinsic spatial…

Human-Computer Interaction · Computer Science 2026-01-16 Yijin Zhou , Fu Li , Yi Niu , Boxun Fu , Huaning Wang , Lijian Zhang

With the remarkable success of representation learning for prediction problems, we have witnessed a rapid expansion of the use of machine learning and deep learning for the analysis of digital pathology and biopsy image patches. However,…

Machine Learning · Computer Science 2024-03-06 David Ahmedt-Aristizabal , Mohammad Ali Armin , Simon Denman , Clinton Fookes , Lars Petersson

In this paper we first recall the definition of geometical model of the visual cortex, focusing in particular on the geometrical properties of horizontal cortical connectivity. Then we recognize that histograms of edges - co-occurrences are…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Giovanna Citti , Alessandro Sarti

This study aims to investigate topological organization of cortical thickness and functional networks by cortical lobes. First, I demonstrated modular organization of these networks by the cortical surface frontal, temporal, parietal and…

Neurons and Cognition · Quantitative Biology 2025-05-27 Vesna Vuksanović

How does the human brain encode complex visual information? While previous research has characterized individual dimensions of visual representation in cortex, we still lack a comprehensive understanding of how visual information is…

Neurons and Cognition · Quantitative Biology 2026-04-08 Raj Magesh Gauthaman , Brice Ménard , Michael F. Bonner