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Large-N dynamics of the spiked tensor model with random initial conditions

arXiv 2208.12586 ↗First posted 26 Aug 2022hep-th cond-mat.dis-nn cs.LGcited by 0

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Abstract (arXiv)

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.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 4 of its 15 references that are in the map. First posted on arXiv 26 Aug 2022.

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4 of 15 references.

References · 4

  1. 2014A statistical model for tensor PCAcited by 72
  2. 2017The landscape of the spiked tensor modelcited by 34
  3. 2018Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional Inferencecited by 24
  4. 2018Complex energy landscapes in spiked-tensor and simple glassy models: ruggedness, arrangements of local minima and phase transitionscited by 23

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