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- University of Alaska AnchorageUS72 papers
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4 papers · 1 filter
Unitarity constrains the quantum information metrics for particle interactions
Shanmuka Shivashankara, Hobbes Sprague
Unitarity provides mathematical and physical constraints on quantum information systems. e.g., in entanglement swapping, unitarity requires the same von Neumann entanglement entrop…
Optimal root recovery for uniform attachment trees and -regular growing trees
Louigi Addario-Berry, Catherine Fontaine, Robin Khanfir +2
We consider root-finding algorithms for random rooted trees grown by uniform attachment. Given an unlabeled copy of the tree and a target accuracy , such an algori…
BiomedParse: a biomedical foundation model for image parsing of everything everywhere all at once
Theodore Zhao, Yu Gu, Jianwei Yang +12
Biomedical image analysis is fundamental for biomedical discovery in cell biology, pathology, radiology, and many other biomedical domains. Holistic image analysis comprises interd…
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…