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On some interconnections between combinatorial optimization and extremal graph theory [PDF]

open access: yesYugoslav Journal of Operations Research, 2004
The uniting feature of combinatorial optimization and extremal graph theory is that in both areas one should find extrema of a function defined in most cases on a finite set.
Cvetković Dragoš M.   +2 more
doaj   +3 more sources

Defect extremal surface as the holographic counterpart of Island formula

open access: yesJournal of High Energy Physics, 2021
We propose defect extremal surface as the holographic counterpart of boundary quantum extremal surface. The defect extremal surface is defined by minimizing the Ryu-Takayanagi surface corrected by the defect theory.
Feiyu Deng, Jinwei Chu, Yang Zhou
doaj   +1 more source

Chain-dependent Conditions in Extremal Set Theory

open access: yesOrder, 2023
AbstractIn extremal set theory our usual goal is to find the maximal size of a family of subsets of an n-element set satisfying a condition. A condition is called chain-dependent, if it is satisfied for a family if and only if it is satisfied for its intersections with the n! full chains.
Dániel T. Nagy, Kartal Nagy
openaire   +4 more sources

Conditional Extreme Value Theory for Open Set Video Domain Adaptation [PDF]

open access: yesACM Multimedia Asia, 2021
With the advent of media streaming, video action recognition has become progressively important for various applications, yet at the high expense of requiring large-scale data labelling. To overcome the problem of expensive data labelling, domain adaptation techniques have been proposed that transfers knowledge from fully labelled data (i.e., source ...
Chen, Zhuoxiao   +2 more
openaire   +2 more sources

Single trusted qubit is necessary and sufficient for quantum realization of extremal no-signaling correlations

open access: yesnpj Quantum Information, 2022
The problem of achieving security of device-independent (or semi-device-independent) cryptography (for quantum key distribution and randomness generation) against the most general no-signaling adversaries has remained open.
Ravishankar Ramanathan   +3 more
doaj   +1 more source

Page curve from defect extremal surface and island in higher dimensions

open access: yesJournal of High Energy Physics, 2021
Defect extremal surface (DES) is defined by minimizing the Ryu-Takayanagi surface corrected by the quantum theory localized on the defect, which is useful when the RT surface crosses or terminates on the defect. Based on the decomposition procedure of an
Jinwei Chu, Feiyu Deng, Yang Zhou
doaj   +1 more source

Open Set Domain Adaptation by Extreme Value Theory

open access: yes2022 IEEE International Conference on Big Data (Big Data), 2022
Common domain adaptation techniques assume that the source domain and the target domain share an identical label space, which is problematic since when target samples are unlabeled we have no knowledge on whether the two domains share the same label space.
Xu, Yiming, Klabjan, Diego
openaire   +2 more sources

“Mathematics is the Logic of the Infinite”: Zermelo’s Project of Infinitary Logic

open access: yesStudies in Logic, Grammar and Rhetoric, 2021
In this paper I discuss Ernst Zermelo’s ideas concerning the possibility of developing a system of infinitary logic that, in his opinion, should be suitable for mathematical inferences. The presentation of Zermelo’s ideas is accompanied with some remarks
Pogonowski Jerzy
doaj   +1 more source

Quantum correlations on the no-signaling boundary: self-testing and more [PDF]

open access: yesQuantum, 2023
In device-independent quantum information, correlations between local measurement outcomes observed by spatially separated parties in a Bell test play a fundamental role. Even though it is long-known that the set of correlations allowed in quantum theory
Kai-Siang Chen   +5 more
doaj   +1 more source

A general 2-part Erdȍs-Ko-Rado theorem [PDF]

open access: yesOpuscula Mathematica, 2017
A two-part extension of the famous Erdȍs-Ko-Rado Theorem is proved. The underlying set is partitioned into \(X_1\) and \(X_2\). Some positive integers \(k_i\), \(\ell_i\) (\(1\leq i\leq m\)) are given.
Gyula O. H. Katona
doaj   +1 more source

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