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04/17/2023
Magnitude of arithmetic scalar and matrix categories
We develop tools for explicitly constructing categories enriched over ge...
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11/14/2022
Quality-diversity in dissimilarity spaces
The theory of magnitude provides a mathematical framework for quantifyin...
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05/10/2022
Magnitude and topological entropy of digraphs
Magnitude and (co)weightings are quite general constructions in enriched...
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01/27/2022
Parallel black-box optimization of expensive high-dimensional multimodal functions via magnitude
Building on the recently developed theory of magnitude, we introduce the...
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01/25/2022
Diversity Enhancement via Magnitude
Promoting and maintaining diversity of candidate solutions is a key requ...
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01/22/2022
Physical geometry of channel degradation
We outline a geometrical correspondence between capacity and effective f...
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01/20/2022
Statistical detection of format dialects using the weighted Dowker complex
This paper provides an experimentally validated, probabilistic model of ...
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04/01/2021
Sampling and statistical physics via symmetry
We formulate both Markov chain Monte Carlo (MCMC) sampling algorithms an...
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08/10/2020
Topology in cyber research
We give an idiosyncratic overview of applications of topology to cyber r...
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03/02/2020
Topological Differential Testing
We introduce topological differential testing (TDT), an approach to extr...
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03/02/2020
Generalizing cyclomatic complexity via path homology
Cyclomatic complexity is an incompletely specified but mathematically pr...
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01/14/2020
The geometry of syntax and semantics for directed file transformations
We introduce a conceptual framework that associates syntax and semantics...
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10/17/2019
Unshuffling fields in data formats
Data format reverse engineering commonly involves identifying conserved ...
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10/16/2019
Path homologies of deep feedforward networks
We provide a characterization of two types of directed homology for full...
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04/09/2019
Fast multipole networks
Two fundamental prerequisites for robotic multiagent systems are mobilit...
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04/09/2019
Wireless Resilient Routing Reconfiguration
Mobile wireless networks are intrinsically more prone to link congestion...
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01/24/2019
Fast Markov Chain Monte Carlo Algorithms via Lie Groups
From basic considerations of the Lie group that preserves a target proba...
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12/12/2017