Language Models and Mathematical Problem Solving
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Questions and Answers

What type of cognitive abilities are highly desirable for machine learning systems in mathematical problem solving?

  • Recognizing patterns in complex data
  • Applying predefined rules to limited data
  • Memorizing large datasets
  • Learning new skills and inferring abstract rules from limited data (correct)

What type of models may be able to support advanced cognitive abilities if their training data samples these abilities widely enough?

  • Traditional statistical models
  • Large language models with billions of parameters (correct)
  • Rule-based systems with specific instructions
  • Small-scale transformers with limited parameters

What game is used in the text to address the limitation of machine learning models to learn truly novel information and exhibit out of distribution generalization?

  • Crossword puzzles
  • Chess
  • Sudoku (correct)
  • Rubik's Cube

What strategy did human participants learn from a narrow range of training examples that showed strong out of distribution generalization in solving Sudoku?

<p>Hidden Single strategy (A)</p> Signup and view all the answers

What was required for small-scale transformers to generalize the Hidden Single strategy out of distribution?

<p>Continuously interleaving the narrowly sampled Hidden Single examples with examples of component strategies spanning the entire distribution of puzzle instances (B)</p> Signup and view all the answers

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