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Summary of Neural Quasiprobabilistic Likelihood Ratio Estimation with Negatively Weighted Data, by Matthew Drnevich et al.


Neural Quasiprobabilistic Likelihood Ratio Estimation with Negatively Weighted Data

by Matthew Drnevich, Stephen Jiggins, Judith Katzy, Kyle Cranmer

First submitted to arxiv on: 14 Oct 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG); High Energy Physics – Experiment (hep-ex)

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GrooveSquid.com Paper Summaries

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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
In this paper, researchers develop a novel framework for likelihood-ratio estimation in quasiprobabilistic settings, where probability densities can be negative. This extension is motivated by real-world scenarios in high-energy particle physics. The authors propose two strategies to overcome the challenges posed by negative densities and weights: a novel loss function and a new model architecture based on signed mixture models. They demonstrate their approach using pedagogical and real-world examples from particle physics.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper is about finding ways to estimate likelihood ratios when probability densities can be negative. This is important in high-energy particle physics, where scientists need to understand the probabilities of different outcomes. The authors come up with two new ideas to solve this problem: a special way to measure how good their model is and a new type of machine learning model. They test these ideas using simple and real-world examples.

Keywords

» Artificial intelligence  » Likelihood  » Loss function  » Machine learning  » Probability