Loading Now

Summary of A Complexity-based Theory Of Compositionality, by Eric Elmoznino et al.


A Complexity-Based Theory of Compositionality

by Eric Elmoznino, Thomas Jiralerspong, Yoshua Bengio, Guillaume Lajoie

First submitted to arxiv on: 18 Oct 2024

Categories

  • Main: Computation and Language (cs.CL)
  • Secondary: Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

     Abstract of paper      PDF of paper


GrooveSquid.com Paper Summaries

GrooveSquid.com’s goal is to make artificial intelligence research accessible by summarizing AI papers in simpler terms. Each summary below covers the same AI paper, written at different levels of difficulty. The medium difficulty and low difficulty versions are original summaries written by GrooveSquid.com, while the high difficulty version is the paper’s original abstract. Feel free to learn from the version that suits you best!

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 paper defines a formal concept called representational compositionality, which is believed to underlie intelligent behavior in both humans and AI systems. The authors argue that this concept can enable out-of-distribution generalization, allowing models to adapt to novel combinations of known concepts. They present a definition that consists of three properties: expressiveness, re-describability as a function of symbolic sequences with re-combinable parts, and simplicity in the relationship between these sequences and the representation. The authors validate their definition using synthetic and real-world data and show how it unifies disparate intuitions from across the literature.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper introduces a new idea called representational compositionality, which is important for making AI smarter. Right now, there’s no clear way to measure this concept, but the researchers propose a definition that can be used with math. They suggest three things that make a representation compositional: it should be able to express lots of information, it should be possible to break down into smaller parts and reassemble them, and the relationship between these parts and the whole should be simple. The authors tested their idea using fake and real data and showed that it can help AI systems learn and adapt.

Keywords

» Artificial intelligence  » Generalization