Fetching the paper…
Reading the bibliography…
We consider the "partial information decomposition" (PID) problem, which aims to decompose the information that a set of source random variables provide about a target random variable into separate redundant, synergistic, union, and unique components.
Information decomposition based on cooperative game theory
Ay, N.; Polani, D.; Virgo, N · 1910
Earlier work this paper cites.
Multivariate Mutual Information Inspired by Secret-Key Agreement
Chan, C.; Al-Bashabsheh, A.; Ebrahimi, J.B.; Kaced, T.; Liu, T · 1913
Earlier work this paper cites.
On Approximate Solutions of Systems of Linear Inequalities
Hoffman, A.J · 1952
Earlier work this paper cites.
The lattice theory of information
Shannon, C · 1953
Earlier work this paper cites.
Equivalent comparisons of experiments
Blackwell, D · 1953
Earlier work this paper cites.
Multivariate information transmission
McGill, W · 1954
Earlier work this paper cites.
A note on a partial ordering for communication channels
Shannon, C.E · 1958
Earlier work this paper cites.
The Transmission of Information: A Statistical Theory of Communications
Fano, R.M · 1961
Earlier work this paper cites.
An Introduction to Information Theory
Reza, F.M · 1961
Earlier work this paper cites.
On the amount of information
Ting, H.K · 1962
Earlier work this paper cites.
On extreme points of convex sets
Dubins, L.E · 1962
Earlier work this paper cites.
Sufficiency and approximate sufficiency
Le Cam, L · 1964
Earlier work this paper cites.
Common information is far less than mutual information
Gács, P.; Körner, J · 1973
Earlier work this paper cites.
On Perturbations in Systems of Linear Inequalities
Daniel, J.W · 1973
Earlier work this paper cites.
Agreeing to disagree
Aumann, R.J · 1976
Earlier work this paper cites.
Comparison of two noisy channels
Korner, J.; Marton, K · 1977
Earlier work this paper cites.
Information structure: Common and private (Corresp.)
Hexner, G.; Ho, Y · 1977
Earlier work this paper cites.
On the global minimization of concave functions
Horst, R · 1984
Earlier work this paper cites.
Methods for global concave minimization: A bibliographic survey
Pardalos, P.M.; Rosen, J.B · 1986
Earlier work this paper cites.
Introduction to Abstract Algebra
Whitelaw, T.A · 1988
Earlier work this paper cites.
Comparison of Statistical Experiments
Torgersen, E · 1991
Earlier work this paper cites.
A new outlook on Shannon’s information measures
Yeung, R.W · 1991
Earlier work this paper cites.
Concave minimization: theory, applications and algorithms. In Handbook of Global Optimization
Benson, H.P · 1995
Earlier work this paper cites.
Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population
Cohen, J.; Kempermann, J.H.; Zbaganu, G · 1998
Earlier work this paper cites.
Mutual information, Fisher information, and population coding
Brunel, N.; Nadal, J.P · 1998
Earlier work this paper cites.
Intersection information based on common randomness
Griffith, V.; Chong, E.K.; James, R.G.; Ellison, C.J.; Crutchfield, J.P · 2000
Earlier work this paper cites.
Introduction to Lattices and Order
Davey, B.A.; Priestley, H.A · 2002
Cited alongside, same era.
Synergy, Redundancy, and Independence in Population Codes
Schneidman, E.; Bialek, W.; Berry, M.J · 2003
Cited alongside, same era.
The co-information lattice
Bell, A.J · 2003
Cited alongside, same era.
F-information measures in medical image registration
Pluim, J.P.; Maintz, J.A.; Viergever, M.A · 2004
Cited alongside, same era.
Zero-error information and applications in cryptography
Wolf, S.; Wultschleger, J · 2004
Cited alongside, same era.
Clustering with Bregman divergences
Banerjee, A.; Merugu, S.; Dhillon, I.S.; Ghosh, J.; Lafferty, J · 2005
Cited alongside, same era.
Comparison of information structures and completely positive maps
Barrett, A.B · 2015
Later among the works it cites.
On the entropy of couplings
Kovačević, M.; Stanojević, I.; Šenk, V · 2015
Later among the works it cites.
Quantifying collectivity
Daniels, B.C.; Ellison, C.J.; Krakauer, D.C.; Flack, J.C · 2016
Later among the works it cites.
The partial information decomposition of generative neural network models
Tax, T.; Mediano, P.; Shanahan, M · 2017
Later among the works it cites.
Partial information decomposition as a unified approach to the specification of neural goal functions
Wibral, M.; Priesemann, V.; Kay, J.W.; Lizier, J.T.; Phillips, W.A · 2017
Later among the works it cites.
Quantifying synergistic information using intermediate stochastic variables
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Shmaya, E · 2005
Cited alongside, same era.
Elements of Information Theory
Cover, T.M.; Thomas, J.A · 2006
Cited alongside, same era.
An Introduction to Kolmogorov Complexity and Its Applications
Li, M.; Vitányi, P. · 2008
Cited alongside, same era.
The quantum Blackwell theorem and minimum error state discrimination
Chefles, A · 2009
Cited alongside, same era.
Nonnegative decomposition of multivariate information
Williams, P.L.; Beer, R.D · 2010
Cited alongside, same era.
Quantum entropy and its applications to quantum communication and statistical physics
Ohya, M.; Watanabe, N · 2010
Cited alongside, same era.
Quax, R.; Har-Shemesh, O.; Sloot, P · 2017
Later among the works it cites.
Measuring Multivariate Redundant Information with Pointwise Common Change in Surprisal
Ince, R · 2017
Later among the works it cites.
Naive Set Theory
Halmos, P.R · 2017
Later among the works it cites.
Secret Sharing and Shared Information
Rauh, J · 2017
Later among the works it cites.
Synergy and Redundancy in Dual Decompositions of Mutual Information Gain and Information Loss
Chicharro, D.; Panzeri, S · 2017
Later among the works it cites.
Coarse-Graining and the Blackwell Order
Rauh, J.; Banerjee, P.K.; Olbrich, E.; Jost, J.; Bertschinger, N.; Wolpert, D · 2017
Later among the works it cites.
Understanding individual neuron importance using information theory
Amjad, R.A.; Liu, K.; Geiger, B.C · 2018
Later among the works it cites.
Information decomposition of target effects from multi-source interactions: perspectives on previous, current and future work
Lizier, J.; Bertschinger, N.; Jost, J.; Wibral, M · 2018
Later among the works it cites.
Unique information via dependency constraints
James, R.G.; Emenheiser, J.; Crutchfield, J.P · 2018
Later among the works it cites.
Pointwise Partial Information Decomposition Using the Specificity and Ambiguity Lattices
Finn, C.; Lizier, J · 2018
Later among the works it cites.
Comparison of channels: criteria for domination by a symmetric channel
Makur, A.; Polyanskiy, Y · 2018
Later among the works it cites.
Computing the unique information
Banerjee, P.K.; Rauh, J.; Montúfar, G · 2018
Later among the works it cites.
Unique informations and deficiencies
Banerjee, P.K.; Olbrich, E.; Jost, J.; Rauh, J · 2018
Later among the works it cites.
dit: a Python package for discrete information theory
James, R.G.; Ellison, C.J.; Crutchfield, J.P · 2018
Later among the works it cites.
Unique information and secret key agreement
James, R.; Emenheiser, J.; Crutchfield, J · 2019
Closest in time.
Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data
Rosas, F.E.; Mediano, P.A.; Jensen, H.J.; Seth, A.K.; Barrett, A.B.; Carhart-Harris, R.L.; Bor, D · 2020
Closest in time.
Inferring spatial and signaling relationships between cells from single cell transcriptomic data
Cang, Z.; Nie, Q · 2020
Closest in time.
An operational information decomposition via synergistic disclosure
Rosas, F.E.; Mediano, P.A.; Rassouli, B.; Barrett, A.B · 2020
Closest in time.
Examples of Common False Beliefs in Mathematics (Dimensions of Vector Spaces)
Tilman · 2022
Closest in time.
Code for Computing I ∩ ≺ I_{\cap}^{\prec} . 2022
Kolchinsky, A · 2022
Closest in time.
Semicontinuity of Rank and Nullity and Some Consequences. 2009. Available online: https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.709.7290&rep=rep1&type=pdf (accessed on 3 January 2022)
Lewis, A.D · 2022
Closest in time.