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Summary of Time-reversible Bridges Of Data with Machine Learning, by Ludwig Winkler


Time-Reversible Bridges of Data with Machine Learning

by Ludwig Winkler

First submitted to arxiv on: 18 Dec 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG)

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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
The proposed thesis presents innovative approaches to learning deterministic and stochastic dynamics constrained by initial and final conditions using machine learning algorithms. The research focuses on inferring dynamics from observed data, diverging from traditional numerical integration methods. The study consists of three main problems, each tackling a different aspect of dynamics: learning deterministic dynamics from ground truth solutions, solving boundary value problems in discrete state spaces, and inferring continuous-time stochastic process dynamics between two probability distributions. The work also explores the Schrödinger Bridge Problem, proposing a novel criterion to learn time-reversible dynamics. This research has significant implications for understanding complex systems in various fields, such as natural sciences and engineering.
Low GrooveSquid.com (original content) Low Difficulty Summary
This thesis is all about learning how things change over time. Imagine trying to figure out what will happen to a ball rolling down a hill based on where it starts and where it ends up. That’s basically what the researcher did here! They developed new ways to use machine learning algorithms to learn how systems evolve, even when we don’t know exactly how they work or what happens in between. The study covers three main challenges: figuring out simple rules from known examples, solving puzzles in a game-like environment, and finding patterns in random events. By solving these problems, the researcher hopes to unlock new insights into complex systems that affect our daily lives.

Keywords

» Artificial intelligence  » Machine learning  » Probability