Large-N dynamics of the spiked tensor model with random initial conditions
Abstract
In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-$N$ saddle point equations are dominated by the melonic type diagrams.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2022
- DOI:
- 10.48550/arXiv.2208.12586
- arXiv:
- arXiv:2208.12586
- Bibcode:
- 2022arXiv220812586S
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter - Disordered Systems and Neural Networks;
- Computer Science - Machine Learning;
- Statistics - Machine Learning