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Assessing where and how information is stored in biological networks (such as neuronal and genetic networks) is a central task both in neuroscience and in molecular genetics, but most available tools focus on the network's structure as…

Information Theory · Computer Science 2023-02-24 Clifford Bohm , Douglas Kirkpatrick , Victoria Cao , Christoph Adami

Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

Neurons and Cognition · Quantitative Biology 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

We introduce a new information-theoretic complexity measure $IC_\infty$ for 2-party functions which is a lower-bound on communication complexity, and has the two leading lower-bounds on communication complexity as its natural relaxations:…

Computational Complexity · Computer Science 2016-06-29 Manoj M. Prabhakaran , Vinod M. Prabhakaran

A statistically principled way of conducting weighted network analysis is still lacking. Comparison of different populations of weighted networks is hard because topology is inherently dependent on wiring cost, where cost is defined as the…

Molecular Networks · Quantitative Biology 2015-05-27 Cedric E. Ginestet , Thomas E. Nichols , Ed T. Bullmore , Andrew Simmons

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

Neural networks are known to exploit spurious artifacts (or shortcuts) that co-occur with a target label, exhibiting heuristic memorization. On the other hand, networks have been shown to memorize training examples, resulting in…

Machine Learning · Computer Science 2024-02-05 Rachit Bansal , Danish Pruthi , Yonatan Belinkov

We introduce a new measure of centrality, the information centrality C^I, based on the concept of efficient propagation of information over the network. C^I is defined for both valued and non-valued graphs, and applies to groups and classes…

Other Condensed Matter · Physics 2007-05-23 Vito Latora , Massimo Marchiori

Most information dynamics and statistical causal analysis frameworks rely on the common intuition that causal interactions are intrinsically pairwise -- every 'cause' variable has an associated 'effect' variable, so that a 'causal arrow'…

Neurons and Cognition · Quantitative Biology 2019-09-06 Pedro A. M. Mediano , Fernando Rosas , Robin L. Carhart-Harris , Anil K. Seth , Adam B. Barrett

Fisher information, Shannon information entropy and Statistical Complexity are calculated for the interface of a normal metal and a superconductor, as a function of the temperature for several materials. The order parameter $\Psi({\bf r})$…

Quantum Physics · Physics 2018-06-05 Ch. C. Moustakidis , C. P. Panos

Recent developments on holography and quantum information physics suggest that quantum information theory come to play a fundamental role in understanding quantum gravity. Cosmology, on the other hand, plays a significant role in testing…

High Energy Physics - Theory · Physics 2019-12-04 Chong-Bin Chen , Fu-Wen Shu

Information processing in neural systems can be described and analysed at multiple spatiotemporal scales. Generally, information at lower levels is more fine-grained and can be coarse-grained in higher levels. However, information processed…

Neurons and Cognition · Quantitative Biology 2020-07-21 Acer Y. C. Chang , Martin Biehl , Yen Yu , Ryota Kanai

We use multiple measures of graph complexity to evaluate the realism of synthetically-generated networks of human activity, in comparison with several stylized network models as well as a collection of empirical networks from the…

Social and Information Networks · Computer Science 2020-02-25 Kiran Karra , Samarth Swarup , Justus Graham

With the arrival of modern internet era, large public networks of various types have come to existence to benefit the society as a whole and several research areas such as sociology, economics and geography in particular. However, the…

Computational Complexity · Computer Science 2016-07-07 Tanima Chatterjee , Bhaskar DasGupta , Nasim Mobasheri , Venkatkumar Srinivasan , Ismael G. Yero

The scientific study of consciousness is currently undergoing a critical transition in the form of a rapidly evolving scientific debate regarding whether or not currently proposed theories can be assessed for their scientific validity. At…

Artificial Intelligence · Computer Science 2021-08-16 Jake R. Hanson , Sara I. Walker

We propose a unified theoretical framework for quantifying spatio-temporal interactions in a stochastic dynamical system based on information geometry. In the proposed framework, the degree of interactions is quantified by the divergence…

Neurons and Cognition · Quantitative Biology 2016-12-08 Masafumi Oizumi , Naotsugu Tsuchiya , Shun-ichi Amari

Tractable models of human perception have proved to be challenging to build. Hand-designed models such as MS-SSIM remain popular predictors of human image quality judgements due to their simplicity and speed. Recent modern deep learning…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Sangnie Bhardwaj , Ian Fischer , Johannes Ballé , Troy Chinen

We define a notion of information that an individual sample provides to the training of a neural network, and we specialize it to measure both how much a sample informs the final weights and how much it informs the function computed by the…

Signal processing and Information theory are two disparate fields used for characterizing signals for various scientific and engineering applications. Spectral/Fourier analysis, a technique employed in signal processing, helps estimation of…

Information Theory · Computer Science 2023-09-22 Aditi Kathpalia , Nithin Nagaraj

Methods from statistical physics, such as those involving complex networks, have been increasingly used in quantitative analysis of linguistic phenomena. In this paper, we represented pieces of text with different levels of simplification…

Physics and Society · Physics 2013-02-20 Diego R. Amancio , Sandra M. Aluisio , Osvaldo N. Oliveira , Luciano da F. Costa