Analysing Mathematical Reasoning Abilities of Neural Models

Code

• github.com/jlrussin/interpret-math-transformer
  pytorch★ 8
• github.com/mesotron/teaching_transformers
  none★ 5
• github.com/deepmind/mathematics_dataset
  In papernone★ 0
• github.com/andrewschreiber/hs-math-nlp
  pytorch★ 0
• github.com/mandubian/pytorch_math_dataset
  pytorch★ 0
• github.com/r-bakes/math_language_processing
  pytorch★ 0
• github.com/berniwal/DeepLearningProject
  tf★ 0

Abstract

Mathematical reasoning---a core ability within human intelligence---presents some unique challenges as a domain: we do not come to understand and solve mathematical problems primarily on the back of experience and evidence, but on the basis of inferring, learning, and exploiting laws, axioms, and symbol manipulation rules. In this paper, we present a new challenge for the evaluation (and eventually the design) of neural architectures and similar system, developing a task suite of mathematics problems involving sequential questions and answers in a free-form textual input/output format. The structured nature of the mathematics domain, covering arithmetic, algebra, probability and calculus, enables the construction of training and test splits designed to clearly illuminate the capabilities and failure-modes of different architectures, as well as evaluate their ability to compose and relate knowledge and learned processes. Having described the data generation process and its potential future expansions, we conduct a comprehensive analysis of models from two broad classes of the most powerful sequence-to-sequence architectures and find notable differences in their ability to resolve mathematical problems and generalize their knowledge.

Tasks

Benchmark Results

Reproductions