FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3049152644> ?p ?o ?g. }

• W3049152644 endingPage "415005" @default.
• W3049152644 startingPage "415005" @default.
• W3049152644 abstract "In this paper we adapt the broken replica interpolation technique (developed by Francesco Guerra to deal with the Sherrington-Kirkpatrick model, namely a pairwise mean-field spin-glass whose couplings are i.i.d. standard Gaussian variables) in order to work also with the Hopfield model (i.e., a pairwise mean-field neural-network whose couplings are drawn according to Hebb's learning rule): this is accomplished by grafting Guerra's telescopic averages on the transport equation technique, recently developed by some of the Authors. As an overture, we apply the technique to solve the Sherrington-Kirkpatrick model with i.i.d. Gaussian couplings centered at $J_0$ and with finite variance $J$; the mean $J_0$ plays the role of a signal to be detected in a noisy environment tuned by $J$, hence making this model a natural test-case to be investigated before addressing the Hopfield model. For both the models, an explicit expression of their quenched free energy in terms of their natural order parameters is obtained at the K-th step (K arbitrary, but finite) of replica-symmetry-breaking. In particular, for the Hopfield model, by assuming that the overlaps respect Parisi's decomposition (following the ziqqurat ansatz) and that the Mattis magnetization is self-averaging, we recover previous results obtained via replica-trick by Amit, Crisanti and Gutfreund (1RSB) and by Steffan and Kuhn (2RSB)." @default.
• W3049152644 created "2020-08-21" @default.
• W3049152644 creator A5005761274 @default.
• W3049152644 creator A5011672584 @default.
• W3049152644 creator A5041457930 @default.
• W3049152644 creator A5053503182 @default.
• W3049152644 date "2020-09-18" @default.
• W3049152644 modified "2023-10-13" @default.
• W3049152644 title "Replica symmetry breaking in neural networks: a few steps toward rigorous results" @default.
• W3049152644 cites W1557639379 @default.
• W3049152644 cites W1650706190 @default.
• W3049152644 cites W1884390770 @default.
• W3049152644 cites W1964458748 @default.
• W3049152644 cites W1970262190 @default.
• W3049152644 cites W1972977671 @default.
• W3049152644 cites W1985452037 @default.
• W3049152644 cites W1990390131 @default.
• W3049152644 cites W2001170284 @default.
• W3049152644 cites W2031202060 @default.
• W3049152644 cites W2032756757 @default.
• W3049152644 cites W2032911727 @default.
• W3049152644 cites W2059988607 @default.
• W3049152644 cites W2070758846 @default.
• W3049152644 cites W2088436388 @default.
• W3049152644 cites W2090614046 @default.
• W3049152644 cites W2100527170 @default.
• W3049152644 cites W2121991216 @default.
• W3049152644 cites W2125150881 @default.
• W3049152644 cites W2141442470 @default.
• W3049152644 cites W2148129048 @default.
• W3049152644 cites W2161410247 @default.
• W3049152644 cites W2172084516 @default.
• W3049152644 cites W2401520370 @default.
• W3049152644 cites W2490183153 @default.
• W3049152644 cites W2502949459 @default.
• W3049152644 cites W2556341799 @default.
• W3049152644 cites W2567167069 @default.
• W3049152644 cites W2586702902 @default.
• W3049152644 cites W2593807178 @default.
• W3049152644 cites W2883260865 @default.
• W3049152644 cites W2919115771 @default.
• W3049152644 cites W2963208784 @default.
• W3049152644 cites W2963765569 @default.
• W3049152644 cites W2990162075 @default.
• W3049152644 cites W3027269453 @default.
• W3049152644 cites W3098490353 @default.
• W3049152644 cites W3099406601 @default.
• W3049152644 cites W3100092254 @default.
• W3049152644 cites W3100464551 @default.
• W3049152644 cites W3101329599 @default.
• W3049152644 cites W3104561293 @default.
• W3049152644 cites W3104898123 @default.
• W3049152644 cites W33321784 @default.
• W3049152644 cites W4210422269 @default.
• W3049152644 cites W4235378255 @default.
• W3049152644 cites W4240189201 @default.
• W3049152644 cites W4285026524 @default.
• W3049152644 doi "https://doi.org/10.1088/1751-8121/abaf2c" @default.
• W3049152644 hasPublicationYear "2020" @default.
• W3049152644 type Work @default.
• W3049152644 sameAs 3049152644 @default.
• W3049152644 citedByCount "14" @default.
• W3049152644 countsByYear W30491526442021 @default.
• W3049152644 countsByYear W30491526442022 @default.
• W3049152644 countsByYear W30491526442023 @default.
• W3049152644 crossrefType "journal-article" @default.
• W3049152644 hasAuthorship W3049152644A5005761274 @default.
• W3049152644 hasAuthorship W3049152644A5011672584 @default.
• W3049152644 hasAuthorship W3049152644A5041457930 @default.
• W3049152644 hasAuthorship W3049152644A5053503182 @default.
• W3049152644 hasBestOaLocation W30491526442 @default.
• W3049152644 hasConcept C121332964 @default.
• W3049152644 hasConcept C121864883 @default.
• W3049152644 hasConcept C154945302 @default.
• W3049152644 hasConcept C166957645 @default.
• W3049152644 hasConcept C204795200 @default.
• W3049152644 hasConcept C205649164 @default.
• W3049152644 hasConcept C2524010 @default.
• W3049152644 hasConcept C2775937380 @default.
• W3049152644 hasConcept C2779886137 @default.
• W3049152644 hasConcept C33332235 @default.
• W3049152644 hasConcept C33923547 @default.
• W3049152644 hasConcept C41008148 @default.
• W3049152644 hasConcept C50644808 @default.
• W3049152644 hasConcept C62520636 @default.
• W3049152644 hasConceptScore W3049152644C121332964 @default.
• W3049152644 hasConceptScore W3049152644C121864883 @default.
• W3049152644 hasConceptScore W3049152644C154945302 @default.
• W3049152644 hasConceptScore W3049152644C166957645 @default.
• W3049152644 hasConceptScore W3049152644C204795200 @default.
• W3049152644 hasConceptScore W3049152644C205649164 @default.
• W3049152644 hasConceptScore W3049152644C2524010 @default.
• W3049152644 hasConceptScore W3049152644C2775937380 @default.
• W3049152644 hasConceptScore W3049152644C2779886137 @default.
• W3049152644 hasConceptScore W3049152644C33332235 @default.
• W3049152644 hasConceptScore W3049152644C33923547 @default.
• W3049152644 hasConceptScore W3049152644C41008148 @default.
• W3049152644 hasConceptScore W3049152644C50644808 @default.

• next