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Human brain anatomy and function display a combination of modular and hierarchical organization, suggesting the importance of both cohesive structures and variable resolutions in the facilitation of healthy cognitive processes. However,…

Neurons and Cognition · Quantitative Biology 2015-06-18 Christian Lohse , Danielle S. Bassett , Kelvin O. Lim , Jean M. Carlson

The complexity of a neuronal cell shape is known to be related to its function. Specifically, among other indicators, a decreased complexity in the dendritic trees of cortical pyramidal neurons has been associated with mental retardation.…

Quantitative Methods · Quantitative Biology 2007-05-23 M. S. Barbosa , L. da F. Costa , E. S. Bernardes , G. Ramakers , J. van Pelt

Understanding the encoding and decoding mechanisms of dynamic neural responses to different visual stimuli is an important topic in exploring how the brain represents visual information. Currently, hierarchically deep neural networks (DNNs)…

Neurons and Cognition · Quantitative Biology 2025-12-24 Jingyi Feng , Xiang Feng

Graph theory has drawn a lot of attention in the field of Neuroscience during the last decade, mainly due to the abundance of tools that it provides to explore the interactions of elements in a complex network like the brain. The local and…

Neurons and Cognition · Quantitative Biology 2016-11-16 Sofia Ira Ktena , Sarah Parisot , Jonathan Passerat-Palmbach , Daniel Rueckert

Various structures in human physiology follow a treelike morphology, which often expresses complexity at very fine scales. Examples of such structures are intrathoracic airways, retinal blood vessels, and hepatic blood vessels. Large…

Image and Video Processing · Electrical Eng. & Systems 2022-09-23 Hao Li , Zeyu Tang , Yang Nan , Guang Yang

There is still much to understand about the color processing mechanisms in the brain and the transformation from cone-opponent representations to perceptual hues. Moreover, it is unclear which areas(s) in the brain represent unique hues. We…

Neurons and Cognition · Quantitative Biology 2019-07-05 Paria Mehrani , Andrei Mouraviev , John K. Tsotsos

In this paper we propose a deep learning approach for segmenting sub-cortical structures of the human brain in Magnetic Resonance (MR) image data. We draw inspiration from a state-of-the-art Fully-Convolutional Neural Network (F-CNN)…

Computer Vision and Pattern Recognition · Computer Science 2016-02-08 Mahsa Shakeri , Stavros Tsogkas , Enzo Ferrante , Sarah Lippe , Samuel Kadoury , Nikos Paragios , Iasonas Kokkinos

Neurons in the brain are often finely tuned for specific task variables. Moreover, such disentangled representations are highly sought after in machine learning. Here we mathematically prove that simple biological constraints on neurons,…

Neurons and Cognition · Quantitative Biology 2023-04-04 James C. R. Whittington , Will Dorrell , Surya Ganguli , Timothy E. J. Behrens

Normative models of brain structure estimate the effects of covariates such as age and sex using large samples of healthy controls. These models can then be applied to e.g. smaller clinical cohorts to distinguish disease effects from other…

The intelligent behavior of robots does not emerge solely from control systems, but from the tight coupling between body and brain, a principle known as embodied intelligence. Designing soft robots that leverage this interaction remains a…

Robotics · Computer Science 2026-03-23 Jianqiang Wang , Shuaiqun Pan , Alvaro Serra-Gomez , Xiaohan Wei , Yue Xie

Learning to encode differences in the geometry and (topological) structure of the shapes of ordinary objects is key to generating semantically plausible variations of a given shape, transferring edits from one shape to another, and many…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Kaichun Mo , Paul Guerrero , Li Yi , Hao Su , Peter Wonka , Niloy Mitra , Leonidas J. Guibas

Many standard structural quantities, such as order parameters and correlation functions, exist for common condensed matter systems, such as spherical and rod-like particles. However, these structural quantities are often insufficient for…

Soft Condensed Matter · Physics 2012-01-18 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

A proper vertex-colouring of a graph G is said to be locally identifying if for any pair u,v of adjacent vertices with distinct closed neighbourhoods, the sets of colours in the closed neighbourhoods of u and v are different. We show that…

Combinatorics · Mathematics 2012-05-04 Florent Foucaud , Iiro Honkala , Tero Laihonen , Aline Parreau , Guillem Perarnau

The notion of graph covers (also referred to as locally bijective homomorphisms) plays an important role in topological graph theory and has found its computer science applications in models of local computation. For a fixed target graph…

Discrete Mathematics · Computer Science 2025-02-28 Jan Bok , Jiří Fiala , Nikola Jedličková , Jan Kratochvíl , Micheala Seifrtová

Linear models are widely used in computational neuroimaging to identify biomarkers associated with brain pathologies. However, interpreting the learned weights remains challenging, as they do not always yield clinically meaningful insights.…

Machine Learning · Computer Science 2026-04-23 Sara Petiton , Antoine Grigis , Raphaël Vock , Edouard Duchesnay

Individual brains vary greatly in morphology, connectivity and organization. The applicability of group-level parcellations is limited by the rapid development of precision medicine today because they do not take into account the variation…

Neurons and Cognition · Quantitative Biology 2024-07-02 Chengyi Li , Shan Yu , Yue Cui

Topological drawings are natural representations of graphs in the plane, where vertices are represented by points, and edges by curves connecting the points. Topological drawings of complete graphs and of complete bipartite graphs have been…

Computational Geometry · Computer Science 2017-02-10 Jean Cardinal , Stefan Felsner

Multimodal MRI offers complementary multi-scale information to characterize the brain structure. However, it remains challenging to effectively integrate multimodal MRI while achieving neuroscience interpretability. Here we propose to use…

Neurons and Cognition · Quantitative Biology 2025-12-15 Chengzhi Xia , Jianwei Chen , Yixuan Jiang , Qi Yan , Chao Li

Recent findings in neuroscience suggest that the human brain represents information in a geometric structure (for instance, through conceptual spaces). In order to communicate, we flatten the complex representation of entities and their…

Machine Learning · Computer Science 2020-02-05 Agnieszka Słowik , Abhinav Gupta , William L. Hamilton , Mateja Jamnik , Sean B. Holden

The cerebral cortex is composed of multiple cortical areas that exert a wide variety of brain functions. Although human brain neurons are genetically and areally mosaic, the three-dimensional structural differences between neurons in…