Solution as a Sequence of Reasoning Steps
For a given input in a reasoning task, the generated solution can be formalized as a sequence of intermediate reasoning steps, expressed mathematically as {}\mathbf{y} = \{\bar{\mathbf{y}}_1,...,\bar{\mathbf{y}}_{n_s}\}$. The actual conclusion of the reasoning process is assumed to be located in the final step, {}\bar{\mathbf{y}}_{n_s}$$, which can then be easily verified for correctness.

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Ch.5 Inference - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Ch.4 Alignment - Foundations of Large Language Models
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Verifier
Solution as a Sequence of Reasoning Steps
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A team is training a language model to solve complex, multi-step word problems. They observe that while the model frequently provides the correct final answer, its step-by-step explanation often contains logical fallacies or incorrect calculations that coincidentally cancel each other out. Which of the following training strategies would be most effective at correcting the model's flawed reasoning process, rather than just its final output?
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Solution as a Sequence of Reasoning Steps
Learn After
A language model is asked to solve the following problem: 'A library has 6 bookshelves, and each bookshelf holds 30 books. If 45 books are checked out, how many books remain on the shelves?' The model represents its solution as a sequence of reasoning steps,
y = (a_1, a_2, a_3). Analyze the sequence below and identify the step where the reasoning first becomes incorrect.a_1: Calculate the total number of books: 6 bookshelves * 30 books/bookshelf = 180 books.a_2: Calculate the remaining books by adding the checked-out books to the total: 180 + 45 = 225 books.a_3: The final answer is 225 books.A language model is tasked with solving the following problem: 'A bakery starts the day with 120 cupcakes. They sell 45 cupcakes in the morning and then bake another 60. How many cupcakes do they have now?' The model generates the individual reasoning steps for its solution,
y = (a_1, a_2, a_3). Arrange the following steps in the correct logical order to form a coherent solution.Evaluating Reasoning Step Quality