| Autor: |
Vincent Lahoche, Dine Ousmane Samary, Mohamed Tamaazousti |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Journal of Physics Communications, Vol 7, Iss 5, p 055005 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2399-6528 |
| DOI: |
10.1088/2399-6528/acd09d |
| Popis: |
In this paper, we investigate the large-time behavior for a slightly modified version of the standard p = 2 soft spins dynamics model, including a quartic or higher potential. The equilibrium states of such a model correspond to an effective field theory, which has been recently considered as a novel paradigm for signal detection in data science based on the renormalization group argument. We consider a Langevin-like equation, including a disorder term that leaves in the Wigner or Wishart ensemble. Then we construct a nonperturbative renormalization group formalism valid in the large N limit, where eigenvalues distributions for the disorder can be replaced by their analytic limits, namely the Wigner and Marchenko-Pastur laws. One of the main advantages of this approach is that the interactions remain local in time, avoiding the non-locality arising from the approaches that integrate out the disorder at the partition function level. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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