FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4306833997> ?p ?o ?g. }

• W4306833997 endingPage "492" @default.
• W4306833997 startingPage "427" @default.
• W4306833997 abstract "Two-field functional integrals (2FFI) are an important class of solution methods for generating functions of dissipative processes, including discrete-state stochastic processes, dissipative dynamical systems, and decohering quantum densities. The stationary trajectories of these integrals describe a conserved current by Liouville's theorem, despite the absence of a conserved kinematic phase space current in the underlying stochastic process. We develop the information geometry of generating functions for discrete-state classical stochastic processes in the Doi-Peliti 2FFI form, and exhibit two quantities conserved along stationary trajectories. One is a Wigner function, familiar as a semiclassical density from quantum-mechanical time-dependent density-matrix methods. The second is an overlap function, between directions of variation in an underlying distribution and those in the directions of relative large-deviation probability that can be used to interrogate the distribution, and expressed as an inner product of vector fields in the Fisher information metric. To give an interpretation to the time invertibility implied by current conservation, we use generating functions to represent importance sampling protocols, and show that the conserved Fisher information is the differential of a sample volume under deformations of the nominal distribution and the likelihood ratio. We derive a pair of dual affine connections particular to Doi-Peliti theory for the way they separate the roles of the nominal distribution and likelihood ratio, distinguishing them from the standard dually-flat connection of Nagaoka and Amari defined on the importance distribution, and show that dual flatness in the affine coordinates of the coherent-state basis captures the special role played by coherent states in Doi-Peliti theory." @default.
• W4306833997 created "2022-10-20" @default.
• W4306833997 creator A5012019960 @default.
• W4306833997 date "2022-10-19" @default.
• W4306833997 modified "2023-10-09" @default.
• W4306833997 title "The information geometry of two-field functional integrals" @default.
• W4306833997 cites W1479979375 @default.
• W4306833997 cites W1582868718 @default.
• W4306833997 cites W186403072 @default.
• W4306833997 cites W1970803301 @default.
• W4306833997 cites W1971527405 @default.
• W4306833997 cites W1972633005 @default.
• W4306833997 cites W1975543975 @default.
• W4306833997 cites W1977691343 @default.
• W4306833997 cites W1977839644 @default.
• W4306833997 cites W1980539844 @default.
• W4306833997 cites W1987881172 @default.
• W4306833997 cites W1988388205 @default.
• W4306833997 cites W1990056747 @default.
• W4306833997 cites W1992272836 @default.
• W4306833997 cites W1993397775 @default.
• W4306833997 cites W1998674454 @default.
• W4306833997 cites W2021820673 @default.
• W4306833997 cites W2031320386 @default.
• W4306833997 cites W2035078255 @default.
• W4306833997 cites W2035529678 @default.
• W4306833997 cites W2040008731 @default.
• W4306833997 cites W2044373414 @default.
• W4306833997 cites W2045815986 @default.
• W4306833997 cites W2048588851 @default.
• W4306833997 cites W2056080528 @default.
• W4306833997 cites W2056471637 @default.
• W4306833997 cites W2066619189 @default.
• W4306833997 cites W2075509253 @default.
• W4306833997 cites W2077929353 @default.
• W4306833997 cites W2102277728 @default.
• W4306833997 cites W2107988867 @default.
• W4306833997 cites W2109171391 @default.
• W4306833997 cites W2111030512 @default.
• W4306833997 cites W2114464239 @default.
• W4306833997 cites W2115354930 @default.
• W4306833997 cites W2133812685 @default.
• W4306833997 cites W2134312352 @default.
• W4306833997 cites W2136735768 @default.
• W4306833997 cites W2139497544 @default.
• W4306833997 cites W2149801992 @default.
• W4306833997 cites W2157576622 @default.
• W4306833997 cites W2172274759 @default.
• W4306833997 cites W2228259595 @default.
• W4306833997 cites W2503043660 @default.
• W4306833997 cites W2695042200 @default.
• W4306833997 cites W2757215200 @default.
• W4306833997 cites W3047119391 @default.
• W4306833997 cites W3098063191 @default.
• W4306833997 cites W3099251411 @default.
• W4306833997 cites W3099982587 @default.
• W4306833997 cites W3100714718 @default.
• W4306833997 cites W3102147511 @default.
• W4306833997 cites W3104010529 @default.
• W4306833997 cites W3104288443 @default.
• W4306833997 cites W3105187378 @default.
• W4306833997 cites W3165898261 @default.
• W4306833997 cites W4205871929 @default.
• W4306833997 cites W4230394162 @default.
• W4306833997 cites W4237718205 @default.
• W4306833997 cites W574734723 @default.
• W4306833997 doi "https://doi.org/10.1007/s41884-022-00071-z" @default.
• W4306833997 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36447530" @default.
• W4306833997 hasPublicationYear "2022" @default.
• W4306833997 type Work @default.
• W4306833997 citedByCount "0" @default.
• W4306833997 crossrefType "journal-article" @default.
• W4306833997 hasAuthorship W4306833997A5012019960 @default.
• W4306833997 hasBestOaLocation W43068339971 @default.
• W4306833997 hasConcept C105795698 @default.
• W4306833997 hasConcept C121332964 @default.
• W4306833997 hasConcept C121864883 @default.
• W4306833997 hasConcept C134306372 @default.
• W4306833997 hasConcept C149441793 @default.
• W4306833997 hasConcept C151342819 @default.
• W4306833997 hasConcept C29406490 @default.
• W4306833997 hasConcept C33923547 @default.
• W4306833997 hasConcept C37914503 @default.
• W4306833997 hasConcept C62520636 @default.
• W4306833997 hasConcept C71914180 @default.
• W4306833997 hasConceptScore W4306833997C105795698 @default.
• W4306833997 hasConceptScore W4306833997C121332964 @default.
• W4306833997 hasConceptScore W4306833997C121864883 @default.
• W4306833997 hasConceptScore W4306833997C134306372 @default.
• W4306833997 hasConceptScore W4306833997C149441793 @default.
• W4306833997 hasConceptScore W4306833997C151342819 @default.
• W4306833997 hasConceptScore W4306833997C29406490 @default.
• W4306833997 hasConceptScore W4306833997C33923547 @default.
• W4306833997 hasConceptScore W4306833997C37914503 @default.
• W4306833997 hasConceptScore W4306833997C62520636 @default.
• W4306833997 hasConceptScore W4306833997C71914180 @default.
• W4306833997 hasFunder F4320306101 @default.
• W4306833997 hasIssue "2" @default.

• next