A Flawed Dataset for Symbolic Equation Verification

05/24/2021
by   Ernest Davis, et al.
0

Arabshahi, Singh, and Anandkumar (2018) propose a method for creating a dataset of symbolic mathematical equations for the tasks of symbolic equation verification and equation completion. Unfortunately, a dataset constructed using the method they propose will suffer from two serious flaws. First, the class of true equations that the procedure can generate will be very limited. Second, because true and false equations are generated in completely different ways, there are likely to be artifactual features that allow easy discrimination. Moreover, over the class of equations they consider, there is an extremely simple probabilistic procedure that solves the problem of equation verification with extremely high reliability. The usefulness of this problem in general as a testbed for AI systems is therefore doubtful.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/11/2021

Neural Symbolic Regression that Scales

Symbolic equations are at the core of scientific discovery. The task of ...
research
06/22/2019

Numerical analysis of eikonal equation

The Maxwell equations have a fairly simple form. However, finding soluti...
research
12/01/2020

Probabilistic Grammars for Equation Discovery

Equation discovery, also known as symbolic regression, is a type of auto...
research
06/18/2019

A general methodology to assess symbolic regression algorithms using the generation of random equations with uniform random sampling

Symbolic regression is the act of determining the ideal equation to fit ...
research
02/14/2017

Symbolic Solutions of Simultaneous First-order PDEs in One Unknown

We propose and implement an algorithm for solving an overdetermined syst...
research
05/21/2023

A Symbolic Framework for Systematic Evaluation of Mathematical Reasoning with Transformers

Whether Transformers can learn to apply symbolic rules and generalise to...
research
04/07/2021

Recognizing and Verifying Mathematical Equations using Multiplicative Differential Neural Units

Automated mathematical reasoning is a challenging problem that requires ...

Please sign up or login with your details

Forgot password? Click here to reset