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</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</p> Signup and view all the answers

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