FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4226391017> ?p ?o ?g. }

• W4226391017 endingPage "5600" @default.
• W4226391017 startingPage "5579" @default.
• W4226391017 abstract "In this study, macroscopic properties of the vector approximate message passing (VAMP) algorithm for inference of generalized linear models are investigated using a non-rigorous heuristic method of statistical mechanics when the true posterior cannot be used and the measurement matrix is a sample from rotation-invariant random matrix ensembles. The focus is on the correspondence between the non-rigorous replica analysis of statistical mechanics and the performance assessment of VAMP in the model-mismatched setting. The correspondence of this kind is well-known when the measurement matrix has independent and identically distributed entries. However, when the measurement matrix follows a general rotation-invariant matrix ensemble, the correspondence has been validated only under limited cases, such as the Bayes optimal inference or the convex empirical risk minimization. The result presented in this paper is to extend the scope of such correspondence. Herein, we heuristically derive the explicit formula of state-evolution equations, which macroscopically describe VAMP dynamics for the current model-mismatched case, and show that their fixed point is generally consistent with the replica symmetric solution obtained by the replica method of statistical mechanics. We also show that the fixed point of VAMP can exhibit a microscopic instability, which indicates that message variables continue to move by VAMP while their macroscopically summarized quantities converge to fixed values. The critical condition the for microscopic instability agrees with that for breaking the replica symmetry that is derived within the non-rigorous replica analysis. The results of the numerical experiments cross-check our findings." @default.
• W4226391017 created "2022-05-05" @default.
• W4226391017 creator A5002600110 @default.
• W4226391017 creator A5052421777 @default.
• W4226391017 date "2022-08-01" @default.
• W4226391017 modified "2023-10-11" @default.
• W4226391017 title "Macroscopic Analysis of Vector Approximate Message Passing in a Model-Mismatched Setting" @default.
• W4226391017 cites W1959879694 @default.
• W4226391017 cites W1984830458 @default.
• W4226391017 cites W1991904924 @default.
• W4226391017 cites W2000828982 @default.
• W4226391017 cites W2019058505 @default.
• W4226391017 cites W2030450972 @default.
• W4226391017 cites W2032781595 @default.
• W4226391017 cites W2033606703 @default.
• W4226391017 cites W2073521724 @default.
• W4226391017 cites W2087603457 @default.
• W4226391017 cites W2096680158 @default.
• W4226391017 cites W2101936356 @default.
• W4226391017 cites W2151781750 @default.
• W4226391017 cites W2160051394 @default.
• W4226391017 cites W2161278885 @default.
• W4226391017 cites W2228653206 @default.
• W4226391017 cites W2540066350 @default.
• W4226391017 cites W2566505556 @default.
• W4226391017 cites W2723734710 @default.
• W4226391017 cites W2918745211 @default.
• W4226391017 cites W2945463326 @default.
• W4226391017 cites W2962760202 @default.
• W4226391017 cites W2963064298 @default.
• W4226391017 cites W2963072996 @default.
• W4226391017 cites W2963602028 @default.
• W4226391017 cites W2963886912 @default.
• W4226391017 cites W2963948465 @default.
• W4226391017 cites W3015536096 @default.
• W4226391017 cites W3080443566 @default.
• W4226391017 cites W3095006753 @default.
• W4226391017 cites W3098848552 @default.
• W4226391017 cites W3099052974 @default.
• W4226391017 cites W3101693249 @default.
• W4226391017 cites W3103143328 @default.
• W4226391017 cites W3103257261 @default.
• W4226391017 cites W3104705077 @default.
• W4226391017 cites W3200704634 @default.
• W4226391017 cites W4211095429 @default.
• W4226391017 cites W4248709896 @default.
• W4226391017 doi "https://doi.org/10.1109/tit.2022.3163342" @default.
• W4226391017 hasPublicationYear "2022" @default.
• W4226391017 type Work @default.
• W4226391017 citedByCount "2" @default.
• W4226391017 countsByYear W42263910172022 @default.
• W4226391017 countsByYear W42263910172023 @default.
• W4226391017 crossrefType "journal-article" @default.
• W4226391017 hasAuthorship W4226391017A5002600110 @default.
• W4226391017 hasAuthorship W4226391017A5052421777 @default.
• W4226391017 hasConcept C105795698 @default.
• W4226391017 hasConcept C106487976 @default.
• W4226391017 hasConcept C121332964 @default.
• W4226391017 hasConcept C121864883 @default.
• W4226391017 hasConcept C122123141 @default.
• W4226391017 hasConcept C134261354 @default.
• W4226391017 hasConcept C141513077 @default.
• W4226391017 hasConcept C142362112 @default.
• W4226391017 hasConcept C153349607 @default.
• W4226391017 hasConcept C159985019 @default.
• W4226391017 hasConcept C190470478 @default.
• W4226391017 hasConcept C192562407 @default.
• W4226391017 hasConcept C204795200 @default.
• W4226391017 hasConcept C2775937380 @default.
• W4226391017 hasConcept C28826006 @default.
• W4226391017 hasConcept C33923547 @default.
• W4226391017 hasConcept C37914503 @default.
• W4226391017 hasConcept C41008148 @default.
• W4226391017 hasConcept C62520636 @default.
• W4226391017 hasConcept C99874945 @default.
• W4226391017 hasConceptScore W4226391017C105795698 @default.
• W4226391017 hasConceptScore W4226391017C106487976 @default.
• W4226391017 hasConceptScore W4226391017C121332964 @default.
• W4226391017 hasConceptScore W4226391017C121864883 @default.
• W4226391017 hasConceptScore W4226391017C122123141 @default.
• W4226391017 hasConceptScore W4226391017C134261354 @default.
• W4226391017 hasConceptScore W4226391017C141513077 @default.
• W4226391017 hasConceptScore W4226391017C142362112 @default.
• W4226391017 hasConceptScore W4226391017C153349607 @default.
• W4226391017 hasConceptScore W4226391017C159985019 @default.
• W4226391017 hasConceptScore W4226391017C190470478 @default.
• W4226391017 hasConceptScore W4226391017C192562407 @default.
• W4226391017 hasConceptScore W4226391017C204795200 @default.
• W4226391017 hasConceptScore W4226391017C2775937380 @default.
• W4226391017 hasConceptScore W4226391017C28826006 @default.
• W4226391017 hasConceptScore W4226391017C33923547 @default.
• W4226391017 hasConceptScore W4226391017C37914503 @default.
• W4226391017 hasConceptScore W4226391017C41008148 @default.
• W4226391017 hasConceptScore W4226391017C62520636 @default.
• W4226391017 hasConceptScore W4226391017C99874945 @default.
• W4226391017 hasFunder F4320334764 @default.
• W4226391017 hasFunder F4320338075 @default.
• W4226391017 hasIssue "8" @default.

• next