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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures

As of 20 August 2026, this Paper Citation Record lists 100 of 124 outbound references and 0 inbound Pith citation observations for arXiv:2603.06678.

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pith.paper-citation-record.v1
2603.06678 v2

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measured 100 of 124 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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100 of 124 outbound references displayed

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Outbound references

Observation fe406531-763f-4c80-834d-c93cb7c1ab1a · outbound

This paper cites A mathematical theory of communication,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A mathematical theory of communication,

Reference 1

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This paper cites Certain factors affecting telegraph speed 1,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Certain factors affecting telegraph speed 1,

Reference 2

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This paper cites Transmission of information 1,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Transmission of information 1,

Reference 3

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This paper cites Clausius,Ueber verschiedene f¨ ur die Anwendung bequeme Formen der Hauptgleichungen der mechanischen W¨ armetheorie: vorgetragen in der naturforsch.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Clausius,Ueber verschiedene f¨ ur die Anwendung bequeme Formen der Hauptgleichungen der mechanischen W¨ armetheorie: vorgetragen in der naturforsch

Reference 4

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This paper cites Weitere studien ¨ uber das w¨ armegleichgewicht unter gasmolek¨ ulen,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Weitere studien ¨ uber das w¨ armegleichgewicht unter gasmolek¨ ulen,

Reference 5

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This paper cites Weitere studien ¨ uber das w¨ armegleichgewicht unter gasmolek¨ ulen,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Weitere studien ¨ uber das w¨ armegleichgewicht unter gasmolek¨ ulen,

Reference 6

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Information theory and statistical mechanics,

Reference 7

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Unresolved cited work

Reference 8

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Multivariate dependence beyond shannon information,

Reference 9

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Nonnegative Decomposition of Multivariate Information

Reference 10

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This paper cites Disentangling high-order mechanisms and high-order behaviours in complex systems,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Disentangling high-order mechanisms and high-order behaviours in complex systems,

Reference 11

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This paper cites A synergistic core for human brain evolution and cognition,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A synergistic core for human brain evolution and cognition,

Reference 12

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This paper cites Synergistic and redundant information dynamics are modulated by alzheimer’s disease and cognitive impairment,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Synergistic and redundant information dynamics are modulated by alzheimer’s disease and cognitive impairment,

Reference 13

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A taxonomy of neuroscientific strategies based on interaction orders,

Reference 14

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Higher- order and distributed synergistic functional interactions encode information gain in goal-directed learning,

Reference 15

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Networks beyond pairwise interactions: Structure and dynamics,

Reference 16

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Synergistic signatures of group mechanisms in higher-order systems,

Reference 17

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Bivariate measure of redundant information,

Reference 18

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Shared information—new insights and problems in de- composing information in complex systems,

Reference 19

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Intersection information based on common randomness,

Reference 20

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Quantifying unique information,

Reference 21

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Quantifying synergistic mutual information,

Reference 22

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Quantifying redundant information in predicting a target random variable,

Reference 23

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This paper cites Exploration of synergistic and redundant information sharing in static and dynamical gaussian systems,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Exploration of synergistic and redundant information sharing in static and dynamical gaussian systems,

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This paper cites Temporal information partitioning: Characterizing synergy, uniqueness, and redundancy in interacting environmental variables,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Temporal information partitioning: Characterizing synergy, uniqueness, and redundancy in interacting environmental variables,

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This paper cites Measuring multivariate redundant information with pointwise common change in surprisal,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Measuring multivariate redundant information with pointwise common change in surprisal,

Reference 26

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Unique information via dependency constraints,

Reference 27

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Observation de3ec901-b0e9-4f22-8810-aef60f5b7284 · outbound

This paper cites Exact partial information decompositions for gaussian systems based on depen- dency constraints,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Exact partial information decompositions for gaussian systems based on depen- dency constraints,

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This paper cites Unique information and secret key agreement,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Unique information and secret key agreement,

Reference 29

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This paper cites Pointwise partial information decomposition using the specificity and ambiguity lattices,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Pointwise partial information decomposition using the specificity and ambiguity lattices,

Reference 30

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This paper cites A measure of synergy, redundancy, and unique information using information geometry,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A measure of synergy, redundancy, and unique information using information geometry,

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This paper cites A partial information decomposition for multivariate gaussian systems based on information geometry,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A partial information decomposition for multivariate gaussian systems based on information geometry,

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This paper cites A Partial Information Decomposition Based on Causal Tensors.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A Partial Information Decomposition Based on Causal Tensors

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This paper cites Towards a framework for observational causality from time series: when shannon meets turing,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Towards a framework for observational causality from time series: when shannon meets turing,

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This paper cites Introducing a differentiable measure of pointwise shared information,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Introducing a differentiable measure of pointwise shared information,

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Observation 0e6edfc6-def9-49f6-a39b-c1e7f4c62bcf · outbound

This paper cites A partial information decomposition for discrete and continuous variables.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A partial information decomposition for discrete and continuous variables

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This paper cites Partial in- formation decomposition for continuous variables based on shared exclusions: Analytical formulation and estimation,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Partial in- formation decomposition for continuous variables based on shared exclusions: Analytical formulation and estimation,

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This paper cites A novel approach to the partial information decomposition,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A novel approach to the partial information decomposition,

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Observation bb5e2c45-ce57-42f1-9977-6bdf9f78a69f · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Partial information decomposition via deficiency for multivariate gaussians,

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Observation 203b172d-298e-4a93-bfcd-7880e92343d6 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Decomposing and tracing mutual information by quantifying reachable decision regions,

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Observation c842deb8-de7a-4d32-bd98-22372f1ac927 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Explicit formula for partial information decomposition,

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Observation 0aa80c32-ee4e-4583-bf60-30f7942ef01f · outbound

This paper cites Reconsidering unique information: Towards a multivariate information decomposition,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Reconsidering unique information: Towards a multivariate information decomposition,

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Observation f324ad4f-1098-4eea-87b0-6d12e8d6082c · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Z3: An efficient smt solver,

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Observation 12111404-aff8-48f6-a2aa-d8dd6e9f8da2 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures On the foundations of combinatorial theory: I. theory of m¨ obius functions,

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Observation c16dc07f-6c56-4217-992b-12df95a99f21 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Fast m¨ obius transform: An algebraic approach to information decomposition,

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Observation 31e6f003-f70f-492e-b6cf-724e1694fcb4 · outbound

This paper cites Bits and pieces: Understanding information decomposition from part-whole relationships and formal logic,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Bits and pieces: Understanding information decomposition from part-whole relationships and formal logic,

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Observation c2967c8f-89fc-4aca-9bbb-e0e87fabe508 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Information processing and dynamics in minimally cognitive agents,

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Observation 68b204bd-bfae-40ef-a632-de540dddd586 · outbound

This paper cites Partial information decomposition as a unified approach to the specification of neural goal functions,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Partial information decomposition as a unified approach to the specification of neural goal functions,

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Observation 5f4e9a30-b57e-4a61-b686-5af560b7a066 · outbound

This paper cites The partial information decomposition of generative neural network models,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures The partial information decomposition of generative neural network models,

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Observation d2574f6f-ee76-4b35-8c0c-7ea4af3d9fb4 · outbound

This paper cites Synergistic information supports modality integration and flexible learning in neural networks solving multiple tasks,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Synergistic information supports modality integration and flexible learning in neural networks solving multiple tasks,

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Observation 130afa6b-bc0c-4228-8c25-ba407e1366d8 · outbound

This paper cites Partial entropy decomposition reveals higher-order information structures in human brain activity,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Partial entropy decomposition reveals higher-order information structures in human brain activity,

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Observation 8270f80b-4e5c-4c44-94f9-50927ceb2fa3 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Multivariate information theory uncovers synergistic subsystems of the human cerebral cortex,

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Observation 52734859-8b3c-45f8-aa2b-66cb9ea8d77f · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Information decomposition and the informational architecture of the brain,

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Observation 28cc911e-6ddc-41ee-830e-43869431b812 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures High-order interdependencies in the aging brain,

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Observation b046eb86-ea53-4347-807f-8557016c9256 · outbound

This paper cites High- order functional redundancy in ageing explained via alterations in the connectome in a whole-brain model,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures High- order functional redundancy in ageing explained via alterations in the connectome in a whole-brain model,

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Observation f42b41a6-0c7a-4342-97d5-9a6358290ef3 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures An integrated computational approach for diversity- sensitive personalized medicine,

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Observation 6638b22f-1162-409a-bb1e-3f9b98b00c24 · outbound

This paper cites Beyond pairwise interactions: Charting higher-order models of brain function,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Beyond pairwise interactions: Charting higher-order models of brain function,

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Observation 7d8ab263-5440-4304-bed5-1b308b05729b · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Gene regulatory network inference from single-cell data using multivariate information measures,

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Observation 832f555b-7dca-4820-81ff-560606a8800e · outbound

This paper cites Evaluating methods of inferring gene regulatory networks highlights their lack of performance for single cell gene expression data,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Evaluating methods of inferring gene regulatory networks highlights their lack of performance for single cell gene expression data,

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Observation a7668132-24d7-45a4-83ae-4f4162329036 · outbound

This paper cites Quantifying information modification in cellular automata using pointwise partial information decomposition,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Quantifying information modification in cellular automata using pointwise partial information decomposition,

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Observation 83f869b9-82c3-4e2a-90cb-2ee972c27a99 · outbound

This paper cites An information-theoretic approach to self-organisation: Emergence of complex interdependencies in coupled dynamical systems,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures An information-theoretic approach to self-organisation: Emergence of complex interdependencies in coupled dynamical systems,

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Observation 108ff4ad-558a-40eb-989a-e1ed1d70c4ae · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Synergistic small worlds that drive technological sophistication,

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Observation e0ff759c-457f-4f2a-9e47-817a254e6c7d · outbound

This paper cites Pearl,Probabilistic reasoning in intelligent systems: networks of plausible inference.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Pearl,Probabilistic reasoning in intelligent systems: networks of plausible inference

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Observation e0157e42-5929-40c4-a47b-aa5c688ff3d2 · outbound

This paper cites The identity of information: How deterministic dependencies constrain information synergy and redundancy,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures The identity of information: How deterministic dependencies constrain information synergy and redundancy,

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Observation 227635f4-67cb-44b4-bc96-8550a60ef4d5 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Novel inconsistency results for partial infor- mation decomposition,

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Observation 3900b5a9-44d4-4d93-8cde-fea7a5713b6e · outbound

This paper cites Synergy, Redundancy and Common Information.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Synergy, Redundancy and Common Information

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Observation 43dc58e5-46c8-4104-887a-146c71b49026 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures On extractable shared information,

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Observation 5956d780-f6aa-49cc-b02e-75a3aa00b469 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Continuity and additivity properties of information decompositions,

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Observation 172eb445-c2d8-4694-baab-5a8a15a51561 · outbound

This paper cites Equivalent comparisons of experiments,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Equivalent comparisons of experiments,

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Observation 5936f82f-8a0a-493f-a1de-1f10d89d5291 · outbound

This paper cites Secret sharing and shared information,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Secret sharing and shared information,

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Observation 82df42d1-039a-4247-ac29-af42a92c1b8b · outbound

This paper cites From babel to boole: the logical organization of information decompositions,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures From babel to boole: the logical organization of information decompositions,

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Observation 6ea0b39b-82ee-4143-9e67-7039b3d90aa9 · outbound

This paper cites Probability mass exclusions and the directed components of mutual information,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Probability mass exclusions and the directed components of mutual information,

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Observation da855b1a-d1a3-4212-9a2d-b1481c56898e · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures An overview of reconstructability analysis,

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Observation 7e2f5cf7-ed59-445f-9996-84365d185f1f · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Ross ashby’s information theory: a bit of history, some solutions to problems, and what we face today,

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Observation 8176cb90-85bc-4df0-aa2a-9c01ffd20087 · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Information geometry on hierarchy of probability distributions,

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Observation 01551717-583a-4312-96ce-80bddf9e597e · outbound

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Causal diagrams for empirical research,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Causal inference in statistics: An overview,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures The do-calculus revisited,

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This paper cites “dit“: A Python package for discrete information theory,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures “dit“: A Python package for discrete information theory,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Predictive information decomposition as a tool to quantify emergent dynamical behaviors in physiological networks,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Null models for comparing information decomposition across complex systems,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Unique informations and deficiencies,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Multiscale computational models of complex biological systems,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Multi-scale modelling and simulation in systems biology,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Simple physical systems as a reference for multivariate information dynamics

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Information decomposition based on cooperative game theory,

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This paper cites An operational information decomposition via synergistic disclosure,.

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures An operational information decomposition via synergistic disclosure,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures A scalable synergy-first backbone decomposition of higher-order structures in complex systems,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Synergy and redundancy in dual decompositions of mutual information gain and information loss,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Invariant components of synergy, redundancy, and unique information among three variables,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Hierarchical quantification of synergy in channels,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures The whole is less than the sum of parts: Subsystem inconsistency in partial information decomposition,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Toward a unified taxonomy of information dynamics via integrated information decomposition,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures The Partial Entropy Decomposition: Decomposing multivariate entropy and mutual information via pointwise common surprisal

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Generalized decomposition of multivariate information,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Quantifying synergistic information using intermediate stochastic variables,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Information decomposition and synergy,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Quantifying high-order interdependencies via multivariate extensions of the mutual information,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures Group redundancy measures reveal redundancy reduction in the auditory pathway,

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The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures The co-information lattice,

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