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While deep neural networks (DNN) have become an effective computational tool, the prediction results are often criticized by the lack of interpretability, which is essential in many real-world applications such as health informatics.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Mengnan Du , Ninghao Liu , Qingquan Song , Xia Hu

Motivated by the abundance of directed synaptic couplings in a real biological neuronal network, we investigate the synchronization behavior of the Hodgkin-Huxley model in a directed network. We start from the standard model of the…

Quantitative Methods · Quantitative Biology 2007-05-23 Sung Min Park , Beom Jun Kim

Unraveling how macroscopic cognitive phenotypes emerge from microscopic neuronal connectivity remains one of the core pursuits of neuroscience. To this end, researchers typically leverage multi-modal information from structural connectivity…

Artificial Intelligence · Computer Science 2026-02-03 Tianhao Huang , Guanghui Min , Zhenyu Lei , Aiying Zhang , Chen Chen

We propose a simple methodology to approximate functions with given asymptotic behavior by specifically constructed terms and an unconstrained deep neural network (DNN). The methodology we describe extends to various asymptotic behaviors…

Computational Finance · Quantitative Finance 2025-07-08 Hardik Routray , Bernhard Hientzsch

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

The dynamical evolution of complex networks underpins the structure-function relationships in natural and artificial systems. Yet, restoring a network's formation from a single static snapshot remains challenging. Here, we present a…

Physics and Society · Physics 2025-12-10 Jiu Zhang , Zhanwei Du , Hongwei Hu , Ke Wu , Tongchao Li , Chuan Shi , Xiaohui Huang , Yamir Moreno , Yanqing Hu

We study the problem of explaining a rich class of behavioral properties of deep neural networks. Distinctively, our influence-directed explanations approach this problem by peering inside the network to identify neurons with high influence…

Machine Learning · Computer Science 2018-11-14 Klas Leino , Shayak Sen , Anupam Datta , Matt Fredrikson , Linyi Li

We propose a theoretical understanding of neural networks in terms of Wilsonian effective field theory. The correspondence relies on the fact that many asymptotic neural networks are drawn from Gaussian processes, the analog of…

Machine Learning · Computer Science 2021-03-16 James Halverson , Anindita Maiti , Keegan Stoner

Severe traumatic brain injury can lead to disorders of consciousness (DOC) characterized by deficit in conscious awareness and cognitive impairment including coma, vegetative state, minimally consciousness, and lock-in syndrome. Of crucial…

Neurons and Cognition · Quantitative Biology 2013-10-14 Verónica Mäki-Marttunen , Ibai Diez , Jesus M. Cortes , Dante R. Chialvo , Mirta Villarreal

Link Prediction is a foundational task in Graph Representation Learning, supporting applications like link recommendation, knowledge graph completion and graph generation. Graph Neural Networks have shown the most promising results in this…

Machine Learning · Computer Science 2026-02-26 Claudio Moroni , Claudio Borile , Carolina Mattsson , Michele Starnini , André Panisson

Connectivity structure shapes neural computation, but inferring this structure from population recordings is degenerate: multiple connectivity structures can generate identical dynamics. Recent work uses low-rank recurrent neural networks…

Neurons and Cognition · Quantitative Biology 2026-03-30 Timothy Doyeon Kim , Ulises Pereira-Obilinovic , Yiliu Wang , Eric Shea-Brown , Uygar Sümbül

Functional connections in the brain are frequently represented by weighted networks, with nodes representing locations in the brain, and edges representing the strength of connectivity between these locations. One challenge in analyzing…

Applications · Statistics 2022-09-28 Yura Kim , Daniel Kessler , Elizaveta Levina

Through several studies, it has been highlighted that mobility patterns in mobile networks are driven by human behaviors. This effect has been particularly observed in intermittently connected networks like DTN (Delay Tolerant Networks).…

Networking and Internet Architecture · Computer Science 2015-03-19 Mohamed-Haykel Zayani , Vincent Gauthier , Ines Slama , Djamal Zeghlache

Deep Neural Networks are, from a physical perspective, graphs whose `links` and `vertices` iteratively process data and solve tasks sub-optimally. We use Complex Network Theory (CNT) to represents Deep Neural Networks (DNNs) as directed…

Machine Learning · Computer Science 2022-09-14 Emanuele La Malfa , Gabriele La Malfa , Claudio Caprioli , Giuseppe Nicosia , Vito Latora

This paper indicates causality as the tool that unifies the analysis of both activations and connectivity of brain areas, obtained with fMRI data. Causality analysis is commonly applied to study connectivity, so this work focuses on…

Methodology · Statistics 2011-02-25 Nevio Dubbini

In an all-to-all network of integrate-fire oscillators in which there is a disorder in the intrinsic firing rates of the neurons, we show that through spike timing-dependent plasticity the links which have the faster oscillators as…

Neurons and Cognition · Quantitative Biology 2012-01-25 Mehdi Bayati , Alireza Valizadeh

This paper presents a distributed data-driven predictive control (DDPC) approach using the behavioral framework. It aims to design a network of controllers for an interconnected system with linear time-invariant (LTI) subsystems such that a…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Yitao Yan , Jie Bao , Biao Huang

We analyze by means of Granger causality the effect of synergy and redundancy in the inference (from time series data) of the information flow between subsystems of a complex network. Whilst we show that fully conditioned Granger causality…

Quantitative Methods · Quantitative Biology 2015-06-19 Sebastiano Stramaglia , Jesus M. Cortes , Daniele Marinazzo

We generalize the recently introduced dual fermion (DF) formalism for disordered fermion systems by including the effect of interactions. For an interacting disordered system the contributions to the full vertex function have to be…

Strongly Correlated Electrons · Physics 2014-05-21 S. -X. Yang , P. Haase , H. Terletska , Z. Y. Meng , T. Pruschke , J. Moreno , M. Jarrell

Recent research efforts aiming to bridge the Neural-Symbolic gap for RDFS reasoning proved empirically that deep learning techniques can be used to learn RDFS inference rules. However, one of their main deficiencies compared to rule-based…

Artificial Intelligence · Computer Science 2020-02-11 Bassem Makni , Ibrahim Abdelaziz , James Hendler