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copycat/LaTeX/paper2/references.bib
Alex Linhares b5323b5a74 Add paper 2: information-theoretic unification of workspace graph metrics
Introduces a 21-page paper focused exclusively on the Copycat Workspace,
proposing three graph-metric substitutions for hardcoded constants and
unifying them under a common information-theoretic framework:

- Clustering coefficient as support vector (replaces 0.6^(1/n^3) factor)
- Betweenness centrality as salience weights (replaces fixed 0.2/0.8 ratios)
- Subgraph density as length factors (replaces step function {5,20,60,90})

Central contribution: all three metrics are ratios actual/maximum in [0,1],
interpretable as probabilities, yielding Shannon self-information in bits.
This common unit enables principled arithmetic via workspace entropy
H(W) = sum(I_C) + sum(I_B) + sum(I_rho), with the conjecture T ∝ H(W).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-02-27 17:56:54 +00:00

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BibTeX

@book{mitchell1993analogy,
title={Analogy-Making as Perception: A Computer Model},
author={Mitchell, Melanie},
year={1993},
publisher={MIT Press},
address={Cambridge, MA}
}
@book{hofstadter1995fluid,
title={Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought},
author={Hofstadter, Douglas R. and FARG},
year={1995},
publisher={Basic Books},
address={New York, NY}
}
@article{shannon1948mathematical,
title={A Mathematical Theory of Communication},
author={Shannon, Claude E.},
journal={Bell System Technical Journal},
volume={27},
number={3},
pages={379--423},
year={1948},
publisher={Nokia Bell Labs}
}
@book{cover2006elements,
title={Elements of Information Theory},
author={Cover, Thomas M. and Thomas, Joy A.},
year={2006},
publisher={Wiley-Interscience},
edition={2nd},
address={Hoboken, NJ}
}
@article{freeman1977set,
title={A Set of Measures of Centrality Based on Betweenness},
author={Freeman, Linton C.},
journal={Sociometry},
volume={40},
number={1},
pages={35--41},
year={1977},
publisher={JSTOR}
}
@article{brandes2001faster,
title={A Faster Algorithm for Betweenness Centrality},
author={Brandes, Ulrik},
journal={Journal of Mathematical Sociology},
volume={25},
number={2},
pages={163--177},
year={2001},
publisher={Taylor \& Francis}
}
@article{watts1998collective,
title={Collective Dynamics of 'Small-World' Networks},
author={Watts, Duncan J. and Strogatz, Steven H.},
journal={Nature},
volume={393},
number={6684},
pages={440--442},
year={1998},
publisher={Nature Publishing Group}
}
@book{newman2018networks,
title={Networks},
author={Newman, Mark E. J.},
year={2018},
publisher={Oxford University Press},
edition={2nd},
address={Oxford, UK}
}
@article{erdos1959random,
title={On Random Graphs},
author={Erd\"{o}s, Paul and R\'{e}nyi, Alfr\'{e}d},
journal={Publicationes Mathematicae Debrecen},
volume={6},
pages={290--297},
year={1959}
}
@article{dehmer2011history,
title={A History of Graph Entropy Measures},
author={Dehmer, Matthias and Mowshowitz, Abbe},
journal={Information Sciences},
volume={181},
number={1},
pages={57--78},
year={2011},
publisher={Elsevier}
}
@article{boccaletti2006complex,
title={Complex Networks: Structure and Dynamics},
author={Boccaletti, Stefano and Latora, Vito and Moreno, Yamir and Chavez, Martin and Hwang, D.-U.},
journal={Physics Reports},
volume={424},
number={4},
pages={175--308},
year={2006},
publisher={Elsevier}
}
@article{bianconi2009entropy,
title={Entropy of Network Ensembles},
author={Bianconi, Ginestra},
journal={Physical Review E},
volume={79},
number={3},
pages={036114},
year={2009},
publisher={APS}
}
@article{mowshowitz1968entropy,
title={Entropy and the Complexity of Graphs: I. An Index of the Relative Complexity of a Graph},
author={Mowshowitz, Abbe},
journal={Bulletin of Mathematical Biophysics},
volume={30},
number={1},
pages={175--204},
year={1968},
publisher={Springer}
}
@article{rashevsky1955life,
title={Life, Information Theory, and Topology},
author={Rashevsky, Nicolas},
journal={Bulletin of Mathematical Biophysics},
volume={17},
number={3},
pages={229--235},
year={1955},
publisher={Springer}
}
@article{thurner2003information,
title={Information Geometry of Complex Networks},
author={Thurner, Stefan and Biely, Christoly},
journal={Physical Review E},
volume={75},
pages={066103},
year={2007},
publisher={APS}
}
@article{gentner1983structure,
title={Structure-Mapping: A Theoretical Framework for Analogy},
author={Gentner, Dedre},
journal={Cognitive Science},
volume={7},
number={2},
pages={155--170},
year={1983},
publisher={Wiley Online Library}
}
@article{barabasi1999emergence,
title={Emergence of Scaling in Random Networks},
author={Barab\'{a}si, Albert-L\'{a}szl\'{o} and Albert, R\'{e}ka},
journal={Science},
volume={286},
number={5439},
pages={509--512},
year={1999},
publisher={AAAS}
}
@article{jaynes1957information,
title={Information Theory and Statistical Mechanics},
author={Jaynes, Edwin T.},
journal={Physical Review},
volume={106},
number={4},
pages={620--630},
year={1957},
publisher={APS}
}
@article{linhares2025graph,
title={From Hardcoded Heuristics to Graph-Theoretical Constructs: A Principled Reformulation of the Copycat Architecture},
author={Linhares, Alex},
journal={Manuscript},
year={2025},
note={Paper 1 in this series}
}