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Hierarchy seems to pervade complexity in both living and artificial systems. Despite its relevance, no general theory that captures all features of hierarchy and its origins has been proposed yet. Here we present a formal approach resulting…

Physics and Society · Physics 2013-08-22 Bernat Corominas-Murtra , Joaquín Goñi , Ricard V. Solé , Carlos Rodríguez-Caso

Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

Physics and Society · Physics 2025-07-08 Charo I. del Genio

To interpret deep networks, one main approach is to associate neurons with human-understandable concepts. However, existing methods often ignore the inherent relationships of different concepts (e.g., dog and cat both belong to animals),…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Andong Wang , Wei-Ning Lee , Xiaojuan Qi

Structural modularity is a pervasive feature of biological neural networks, which have been linked to several functional and computational advantages. Yet, the use of modular architectures in artificial neural networks has been relatively…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Mani Hamidi , Sina Khajehabdollahi , Emmanouil Giannakakis , Tim Schäfer , Anna Levina , Charley M. Wu

Various animals, including humans, have been suggested to perform Bayesian inferences to handle noisy, time-varying external information. In performing Bayesian inference, the prior distribution must be shaped by sampling noisy external…

Neurons and Cognition · Quantitative Biology 2022-10-25 Kohei Ichikawa , Kunihiko Kaneko

Network modularity is a key feature for efficient information processing in the human brain. This information processing is however dynamic and networks can reconfigure at very short time period, few hundreds of millisecond. This requires…

Neurons and Cognition · Quantitative Biology 2016-07-05 J. Rizkallah , P. Benquet , F. Wendling , M. Khalil , A. Mheich , O. Dufor , M. Hassan

In this paper we developed a hierarchical network model, called Hierarchical Prediction Network (HPNet), to understand how spatiotemporal memories might be learned and encoded in the recurrent circuits in the visual cortical hierarchy for…

Neural and Evolutionary Computing · Computer Science 2021-10-04 Jielin Qiu , Ge Huang , Tai Sing Lee

Cognitive maps are a proposed concept on how the brain efficiently organizes memories and retrieves context out of them. The entorhinal-hippocampal complex is heavily involved in episodic and relational memory processing, as well as spatial…

Neurons and Cognition · Quantitative Biology 2024-01-04 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss

The brain is a highly complex system. Most of such complexity stems from the intermingled connections between its parts, which give rise to rich dynamics and to the emergence of high-level cognitive functions. Disentangling the underlying…

Neurons and Cognition · Quantitative Biology 2023-08-14 Vito Dichio , Fabrizio De Vico Fallani

Complex problem solving is a high level cognitive process which has been thoroughly studied over the last decade. The Tower of London (TOL) is a task that has been widely used to study problem-solving. In this study, we aim to explore the…

Neurons and Cognition · Quantitative Biology 2018-10-12 Abdullah Alchihabi , Omer Ekmekci , Baran B. Kivilcim , Sharlene D. Newman , Fatos T. Yarman Vural

Higher-order connectivity in complex systems described by simplexes of different orders provides a geometry for simplex-based dynamical variables and interactions. Simplicial complexes that constitute a functional geometry of the human…

Neurons and Cognition · Quantitative Biology 2020-06-19 Miroslav Andjelkovic , Bosiljka Tadic , Roderick Melnik

The human brain is organized in functional modules. Such an organization presents a basic conundrum: modules ought to be sufficiently independent to guarantee functional specialization and sufficiently connected to bind multiple processors…

Biological Physics · Physics 2015-05-27 Lazaros K. Gallos , Hernan A. Makse , Mariano Sigman

In signal processing, exploring complex systems through network representations has become an area of growing interest. This study introduces the modularity graph, a new graph-based feature, to highlight the relationship across the graph…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Camilla Caporali , Marie-Constance Corsi , Stefania Colonnese

Functional magnetic resonance imaging (fMRI) has been commonly used to construct functional connectivity networks (FCNs) of the human brain. TFCNs are primarily limited to quantifying pairwise relationships between ROIs ignoring higher…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Duc Vu , Selin Aviyente

Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

Cell differentiation in multicellular organisms is a complex process whose mechanism can be understood by a reductionist approach, in which the individual processes that control the generation of different cell types are identified.…

Most humans have the good fortune to live their lives embedded in richly structured social groups. Yet, it remains unclear how humans acquire knowledge about these social structures to successfully navigate social relationships. Here we…

Neurons and Cognition · Quantitative Biology 2019-04-23 Steven H. Tompson , Ari E. Kahn , Emily B. Falk , Jean M. Vettel , Danielle S. Bassett

Mammalian functional architecture flexibly adapts, transitioning from integration where information is distributed across the cortex, to segregation where information is focal in densely connected communities of brain regions. This…

Neurons and Cognition · Quantitative Biology 2025-04-03 Kimberly Nestor

Networks are a fundamental tool for understanding and modeling complex systems in physics, biology, neuroscience, engineering, and social science. Many networks are known to exhibit rich, lower-order connectivity patterns that can be…

Social and Information Networks · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

To understand collective network behavior in the complex human brain, pairwise correlation networks alone are insufficient for capturing the high-order interactions that extend beyond pairwise interactions and play a crucial role in brain…

Neurons and Cognition · Quantitative Biology 2025-07-01 Qiang Li , Jingyu Liu , Vince D. Calhoun