A Polyhedral Perspective on Tropical Convolutions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475618" target="_blank" >RIV/00216208:11320/23:10475618 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-34347-6_10" target="_blank" >https://doi.org/10.1007/978-3-031-34347-6_10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-34347-6_10" target="_blank" >10.1007/978-3-031-34347-6_10</a>
Alternative languages
Result language
angličtina
Original language name
A Polyhedral Perspective on Tropical Convolutions
Original language description
Tropical (or min-plus) convolution is a well-studied algorithmic primitive in fine-grained complexity. We exhibit a novel connection between polyhedral formulations and tropical convolution, through which we arrive at a dual variant of tropical convolution. We show this dual operation to be equivalent to primal convolutions. This leads us to considering the geometric objects that arise from dual tropical convolution as a new approach to algorithms and lower bounds for tropical convolutions. In particular, we initiate the study of their extended formulations.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA22-22997S" target="_blank" >GA22-22997S: Efficient and Realistic Models in Computational Social Choice</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISBN
978-3-031-34346-9
ISSN
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e-ISSN
1611-3349
Number of pages
12
Pages from-to
111-122
Publisher name
Springer Nature
Place of publication
Neuveden
Event location
Tainan, Taiwan
Event date
Jun 7, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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