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08/24/2023
Quantum Analog of Shannon's Lower Bound Theorem
Shannon proved that almost all Boolean functions require a circuit of si...
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08/02/2022
Sequents, barcodes, and homology
We consider the problem of generating hypothesis from data based on idea...
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04/11/2021
Hausdorff approximations and volume of tubes of singular algebraic sets
We prove bounds for the volume of neighborhoods of algebraic sets, in th...
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01/19/2021
Inferring COVID-19 Biological Pathways from Clinical Phenotypes via Topological Analysis
COVID-19 has caused thousands of deaths around the world and also result...
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04/02/2018
On the Reeb spaces of definable maps
We prove that the Reeb space of a proper definable map in an arbitrary o...
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08/24/2016