Optimal Kullback-Leibler Aggregation via Information Bottleneck
In this paper, we present a method for reducing a regular, discrete-time Markov chain (DTMC) to another DTMC with a given, typically much smaller number of states.
Geiger, Bernhard C.+3 more
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Memoir on the theory of the partitions of numbers.—part IV. On the probability that the successful candidate at an election by ballot may never at any time have fewer votes than the one who is unsuccessful; on a generalization of this question: and on its connexion with other question of partition, permutation, and combination [PDF]
1. Consider a lattice in two dimensions, taking, for instance,one in which AB, BC are 7 and 5 segments in length respectively. It may be utilised for the study of permutations, combinations, and partitions in various ways, also for the study of certain questions in the theory of probabilities. 2. A "line of route" through the latttice from
openaire +2 more sources
Secret Cryptographic Key Sharing Through the Integer Partition Function
Secret key exchange is a necessary function for modern cryptography. The integer partition function is a mathematical function that arises from number theory.
Daniel Fernandes da Nobrega+5 more
doaj +1 more source
The Replica Method and Toda Lattice Equations for QCD_3
We consider the epsilon-regime of QCD in 3 dimensions. It is shown that the leading term of the effective partition function satisfies a set of Toda lattice equations, recursive in the number of flavors.
Akemann+42 more
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Under the clutter background condition, the existing particle filter pre-detection tracking algorithm based on Probability Hypothesis Density (PHD) filtering is not accurate enough to estimate the number of targets in dense multi-objectives.
PEI Jiazheng+4 more
doaj +1 more source
Open string derivation of winding states in thermal noncommutative field theories
The `winding state' behavior appears in the two-loop nonplanar contribution to the partition function in thermal noncommutative field theories. We derive this feature directly from the purely open string theory analysis in the presence of the constant ...
Andreev+44 more
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Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
We apply the modular approach to computing the topological string partition function on non-compact elliptically fibered Calabi-Yau 3-folds with higher Kodaira singularities in the fiber.
Michele Del Zotto+5 more
doaj +1 more source
Role of Short Distance Behavior in Off-Shell Open-String Field Theory
A recent proposal for a background independent open string field theory is studied in detail for a class of backgrounds that correspond to general quadratic boundary interactions on the world-sheet. A short-distance cut-off is introduced to formulate the
A. Abouelsaood+5 more
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Machine learning the breakdown of tame effective theories
Effective field theories endowed with a nontrivial moduli space may be broken down by several, distinct effects as the energy scales that are probed increase.
Stefano Lanza
doaj +1 more source
On a modification method of Lefschetz thimbles
The QCD at finite density is not well understood yet, where standard Monte Carlo simulation suffers from the sign problem. In order to overcome the sign problem, the method of Lefschetz thimble has been explored.
Doi, Takahiro M., Tsutsui, Shoichiro
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