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Summary of Neural Laplace For Learning Stochastic Differential Equations, by Adrien Carrel


Neural Laplace for learning Stochastic Differential Equations

by Adrien Carrel

First submitted to arxiv on: 7 Jun 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Artificial Intelligence (cs.AI); Probability (math.PR)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
Neural Laplace is a unified framework for learning various types of differential equations (DEs), outperforming other approaches in learning ordinary differential equations (ODEs). However, many systems cannot be modeled using ODEs. Neural Laplace has the potential to learn stochastic differential equations (SDEs) from both theoretical and practical perspectives.
Low GrooveSquid.com (original content) Low Difficulty Summary
This framework can help model spatiotemporal dynamics with randomness, which is useful in various fields like physics, biology, and economics. By learning diverse classes of SDEs, Neural Laplace can be applied to a wide range of problems that involve uncertainty and complexity.

Keywords

» Artificial intelligence  » Spatiotemporal