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Summary of On Learning For Ambiguous Chance Constrained Problems, by a Ch Madhusudanarao et al.


On Learning for Ambiguous Chance Constrained Problems

by A Ch Madhusudanarao, Rahul Singh

First submitted to arxiv on: 31 Dec 2023

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Optimization and Control (math.OC)

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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 paper proposes a novel approach to solve ambiguous chance-constrained optimization problems, where the distribution is not known to the decision maker. The goal is to minimize a function subject to a probability constraint, which is satisfied with high probability. The authors show that by drawing samples from a reference distribution, they can obtain an approximate solution to the original problem, and derive the sample complexity required to achieve this approximation.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper helps us solve complex problems when we don’t know what might happen in advance. It’s like trying to predict the weather without knowing the exact forecast. By taking many random guesses from a known pattern, we can get close enough to the correct answer. The researchers figure out how many of these guesses we need to make to be sure our answer is good enough.

Keywords

* Artificial intelligence  * Optimization  * Probability