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We introduce the informational correlation $E^{AB}$ between two interacting quantum subsystems $A$ and $B$ of a quantum system as the number of arbitrary parameters $\varphi_i$ of a unitary transformation $U^A$ (locally performed on the…

Quantum Physics · Physics 2014-09-08 A. I. Zenchuk

Scientific knowledge develops through cumulative discoveries that build on, contradict, contextualize, or correct prior findings. Scientists and journalists often communicate these incremental findings to lay people through visualizations…

Human-Computer Interaction · Computer Science 2022-09-23 Prateek Mantri , Hariharan Subramonyam , Audrey L. Michal , Cindy Xiong

Multi-regional interaction among neuronal populations underlies the brain's processing of rich sensory information in our daily lives. Recent neuroscience and neuroimaging studies have increasingly used naturalistic stimuli and experimental…

Neurons and Cognition · Quantitative Biology 2021-06-08 Yu Takagi , Laurence T. Hunt , Ryu Ohata , Hiroshi Imamizu , Jun-ichiro Hirayama

The Partial Information Decomposition (PID) framework has emerged as a powerful tool for analyzing high-order interdependencies in complex network systems. However, its application to dynamic processes remains challenging due to the…

In various biological systems information from many noisy molecular receptors must be integrated into a collective response. A striking example is the thermal imaging organ of pit vipers. Single nerve fibers in the organ reliably respond to…

Biological Physics · Physics 2024-05-31 Isabella R. Graf , Benjamin B. Machta

Neurons are spatially extended cells; different parts of a neuron have specific voltage dynamics. Important types of neurons even generate different spikes in different parts of the cell. Neurons' inputs are also often spatially…

Neurons and Cognition · Quantitative Biology 2026-02-06 Audrey O'Brien Teasley , Gabriel Koch Ocker

Many complex systems can be represented as networks composed by distinct layers, interacting and depending on each others. For example, in biology, a good description of the full protein-protein interactome requires, for some organisms, up…

Physics and Society · Physics 2015-04-24 M. De Domenico , V. Nicosia , A. Arenas , V. Latora

An outstanding problem in neuroscience is to understand how information is integrated across the many modules of the brain. While classic information-theoretic measures have transformed our understanding of feedforward information…

Neurons and Cognition · Quantitative Biology 2019-02-12 Daniel Toker , Friedrich T. Sommer

Cells use biochemical networks to translate environmental information into intracellular responses. These responses can be highly dynamic, but how the information is encoded in these dynamics remains poorly understood. Here we investigate…

Cell Behavior · Quantitative Biology 2017-04-05 Garrett D. Potter , Tommy A. Byrd , Andrew Mugler , Bo Sun

Biological and artificial systems encode information through several complex nonlinear operations, making their exact study a formidable challenge. These internal mechanisms often take place across multiple timescales and process external…

Statistical Mechanics · Physics 2024-11-19 Giorgio Nicoletti , Daniel M. Busiello

Physiological signals are often organized in the form of multiple dimensions (e.g., channel, time, task, and 3D voxel), so it is better to preserve original organization structure when processing. Unlike vector-based methods that destroy…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Junhua Li , Chao Li , Andrzej Cichocki

What determines whether a molecular property prediction model organizes its representations so that geometric and compositional information can be cleanly separated? We introduce Compositional Probe Decomposition (CPD), which linearly…

Machine Learning · Computer Science 2026-03-10 Joshua Steier

A multiplex is a collection of network layers, each representing a specific type of edges. This appears to be a genuine representation for many real-world systems. However, due to a variety of potential factors, such as limited budget and…

Physics and Society · Physics 2023-02-22 Daniel Kaiser , Siddharth Patwardhan , Filippo Radicchi

Partial information decomposition (PID) of the multivariate mutual information describes the distinct ways in which a set of source variables contains information about a target variable. The groundbreaking work of Williams and Beer has…

Information Theory · Computer Science 2021-03-31 Abdullah Makkeh , Aaron J. Gutknecht , Michael Wibral

Leveraging knowledge from multiple tasks through introducing a small number of task specific parameters into each transformer layer, also known as adapters, receives much attention recently. However, adding an extra fusion layer to…

Machine Learning · Computer Science 2023-12-29 Junjie Wang , Yicheng Chen , Wangshu Zhang , Sen Hu , Teng Xu , Jing Zheng

We present a novel pyramidal output representation to ensure parsimony with our "specialize and fuse" process for semantic segmentation. A pyramidal "output" representation consists of coarse-to-fine levels, where each level is "specialize"…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Chi-Wei Hsiao , Cheng Sun , Hwann-Tzong Chen , Min Sun

In the field of brain science, data sharing across servers is becoming increasingly challenging due to issues such as industry competition, privacy security, and administrative procedure policies and regulations. Therefore, there is an…

Numerical Analysis · Mathematics 2024-04-19 Yukai Cai , Hang Liu , Xiulin Wang , Hongjin Li , Ziyi Wang , Chuanshuai Yang , Fengyu Cong

The properties of complex networked systems arise from the interplay between the dynamics of their elements and the underlying topology. Thus, to understand their behaviour, it is crucial to convene as much information as possible about…

Neurons and Cognition · Quantitative Biology 2024-06-18 Gustavo Menesse , Akke Mats Houben , Jordi Soriano , Joaquin J. Torres

This brief note considers the problem of estimating temporal synergy and integrated information in dyadic dynamical processes. One of the standard estimators of dynamic synergy is based on the minimal mutual information between sets of…

Information Theory · Computer Science 2024-07-24 Thomas F. Varley

How neurons integrate the myriad synaptic inputs scattered across their dendrites is a fundamental question in neuroscience. Multiple neurophysiological experiments have shown that dendritic non-linearities can have a strong influence on…

Neurons and Cognition · Quantitative Biology 2025-01-13 Clarissa Lauditi , Enrico M. Malatesta , Fabrizio Pittorino , Carlo Baldassi , Nicolas Brunel , Riccardo Zecchina
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