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- W2155759219 abstract "Though it arouses more and more curiosity, the HJ iterative algorithm has never been derived in mathematical terms to date. We attempt in this paper to describe it from a statistical point of view. For instance the updating term of the synaptic efficacies matrix cannot be the gradient of a single C a functional contrary to what is sometimes understood. In fact, we show that the HJ algorithm is actually searching common zeros of n functionals by pipelined stochastic iterations. Based on simulation results, advantages and limitations as well as possible improvements are pointed out after a short theoretical analysis. Zusammenfassung. Obwohl er mehr und mehr Interesse weckt, ist der iterative HJ-algorithmus noch nie auf mathematischem Wege hergeleitet worden. In diesem Beitrag versuchen wir, ihn von einem statistischen Gesichtspunkt aus zu beschreiben. Zum Beispiel kann der Erneuerungsterm der synaptischen Wirksamkeitsmatrix nicht der Gradient eines einzelnen C 2- Funktionals sein - obwohl er gelegentlich so interpretiert wird. Wir zeigen, dab der HJ-Algorithmus in der Tat gemeinsame Nullstellen von n Funktionalen mittels stochastischer, im Pipelining ausgefiihrter Iterationen sucht. Auf der Grundlage von Simulationen werden Vorteile und Bergrenzungen sowie mrgliche Verbesserungen nach kurzer theoretischer Analyse dargelegt. R6sum6. Bien qu'il 6veille maintenant de plus en plus de curiosit6, l'algorithme ita~tre le gradient d'une fonctionnelle unique de classe C 2, contrairement h ce qui est paffois reconnu. Nous essayons dans cet article de le pr6senter en empruntant une approche statisique. Nous montrons que I'algorithme HJ recherche en r6alit6 les z6ros communs de n fonctionnelles par des it6rations stochastiques pipelin6es. Apr~s une courte analyse th6orique, et en nous appuyant sur des simulations, nous soulignons les avantages et les limitations de l'algorithme, ainsi qu'un certain nombre d'am61iorations possibles." @default.
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- W2155759219 date "1991-07-01" @default.
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- W2155759219 title "Blind separation of sources, part II: Problems statement" @default.
- W2155759219 cites W1994616650 @default.
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- W2155759219 doi "https://doi.org/10.1016/0165-1684(91)90080-3" @default.
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