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We propose a formal model of reasoning limitations in large neural net models for language, grounded in the depth of their neural architecture. By treating neural networks as linear operators over logic predicate space we show that each…

Artificial Intelligence · Computer Science 2025-07-29 Bill Cochran

Precisely how humans process relational patterns of information in knowledge, language, music, and society is not well understood. Prior work in the field of statistical learning has demonstrated that humans process such information by…

The brain is an intricately structured organ responsible for the rich emergent dynamics that support the complex cognitive functions we enjoy as humans. With around $10^{11}$ neurons and $10^{15}$ synapses, understanding how the human brain…

Neurons and Cognition · Quantitative Biology 2019-02-12 Jason Z. Kim , Danielle S. Bassett

The language of graph theory, or network science, has proven to be an exceptional tool for addressing myriad problems in neuroscience. Yet, the use of networks is predicated on a critical simplifying assumption: that the quintessential unit…

Neurons and Cognition · Quantitative Biology 2016-01-14 Chad Giusti , Robert Ghrist , Danielle S. Bassett

Network representations of the nervous system have been useful for the understanding of brain phenomena such as perception, motor coordination, and memory. Although brains are composed of both neurons and glial cells, neuron-glial networks…

Neurons and Cognition · Quantitative Biology 2024-11-14 Marco Peña-Garcia , Francesco Peña-Garcia , Nelson Castro , Walter Cabrera-Febola

Motivated by the human way of memorizing images we introduce their functional representation, where an image is represented by a neural network. For this purpose, we construct a hypernetwork which takes an image and returns weights to the…

Machine Learning · Computer Science 2019-11-26 Sylwester Klocek , Łukasz Maziarka , Maciej Wołczyk , Jacek Tabor , Jakub Nowak , Marek Śmieja

Classification of biological neuron types and networks poses challenges to the full understanding of the brain's organisation and functioning. In this paper, we develop a novel objective classification model of biological neuronal types and…

Neurons and Cognition · Quantitative Biology 2020-03-31 Michael Taynnan Barros , Harun Siljak , Peter Mullen , Constantinos Papadias , Jari Hyttinen , Nicola Marchetti

Modern deep networks are highly complex and their inferential outcome very hard to interpret. This is a serious obstacle to their transparent deployment in safety-critical or bias-aware applications. This work contributes to post-hoc…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Konstantinos P. Panousis , Sotirios Chatzis

We propose a new framework, called Hierarchical Multi-resolution Mesh Networks (HMMNs), which establishes a set of brain networks at multiple time resolutions of fMRI signal to represent the underlying cognitive process. The suggested…

Neural and Evolutionary Computing · Computer Science 2017-01-13 Itir Onal Ertugrul , Mete Ozay , Fatos Tunay Yarman Vural

The brain is a complex organ characterized by heterogeneous patterns of structural connections supporting unparalleled feats of cognition and a wide range of behaviors. New noninvasive imaging techniques now allow these patterns to be…

Neurons and Cognition · Quantitative Biology 2020-04-03 Christopher W. Lynn , Danielle S. Bassett

In recent years numerous attempts to understand the human brain were undertaken from a network point of view. A network framework takes into account the relationships between the different parts of the system and enables to examine how…

Neurons and Cognition · Quantitative Biology 2018-03-13 Nir Lahav , Baruch Ksherim , Eti Ben-Simon , Adi Maron-Katz , Reuven Cohen , Shlomo Havlin

While vector-based language representations from pretrained language models have set a new standard for many NLP tasks, there is not yet a complete accounting of their inner workings. In particular, it is not entirely clear what aspects of…

Computation and Language · Computer Science 2021-04-16 Matteo Alleman , Jonathan Mamou , Miguel A Del Rio , Hanlin Tang , Yoon Kim , SueYeon Chung

Recent studies in neuroscience highlight the significant potential of brain connectivity networks, which are commonly constructed from functional magnetic resonance imaging (fMRI) data for brain disorder diagnosis. Traditional brain…

Mining human-brain networks to discover patterns that can be used to discriminate between healthy individuals and patients affected by some neurological disorder, is a fundamental task in neuroscience. Learning simple and interpretable…

Social and Information Networks · Computer Science 2020-06-11 Tommaso Lanciano , Francesco Bonchi , Aristides Gionis

Humans readily generalize abstract relations, such as recognizing "constant" in shape or color, whereas neural networks struggle, limiting their flexible reasoning. To investigate mechanisms underlying such generalization, we introduce…

Neurons and Cognition · Quantitative Biology 2025-07-28 Jiaqi Shang , Gabriel Kreiman , Haim Sompolinsky

In this paper, we propose MGNet, a simple and effective multiplex graph convolutional network (GCN) model for multimodal brain network analysis. The proposed method integrates tensor representation into the multiplex GCN model to extract…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Zhaoming Kong , Lichao Sun , Hao Peng , Liang Zhan , Yong Chen , Lifang He

Studies regarding knowledge organization and acquisition are of great importance to understand areas related to science and technology. A common way to model the relationship between different concepts is through complex networks. In such…

Social and Information Networks · Computer Science 2018-08-09 Thales S. Lima , Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

Explainability is an essential reason limiting the application of neural networks in many vital fields. Although neuro-symbolic AI hopes to enhance the overall explainability by leveraging the transparency of symbolic learning, the results…

Artificial Intelligence · Computer Science 2024-11-08 Xin Zhang , Victor S. Sheng

Modelling across engineering, systems science, and formal methods remains limited by binary relations, implicit semantics, and diagram-centred notations that obscure multilevel structure and hinder mechanisation. Hypernetwork Theory (HT)…

Logic in Computer Science · Computer Science 2025-12-04 Richard D. Charlesworth

Understanding the human brain remains the Holy Grail in biomedical science, and arguably in all of the sciences. Our brains represent the most complex systems in the world (and some contend the universe) comprising nearly one hundred…

Quantitative Methods · Quantitative Biology 2016-02-03 Sean L. Simpson , Paul J. Laurienti