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Anders Andreassen

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3 papers
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3

NeurIPS Conference 2022 Conference Paper

Exploring Length Generalization in Large Language Models

  • Cem Anil
  • Yuhuai Wu
  • Anders Andreassen
  • Aitor Lewkowycz
  • Vedant Misra
  • Vinay Ramasesh
  • Ambrose Slone
  • Guy Gur-Ari

The ability to extrapolate from short problem instances to longer ones is an important form of out-of-distribution generalization in reasoning tasks, and is crucial when learning from datasets where longer problem instances are rare. These include theorem proving, solving quantitative mathematics problems, and reading/summarizing novels. In this paper, we run careful empirical studies exploring the length generalization capabilities of transformer-based language models. We first establish that naively finetuning transformers on length generalization tasks shows significant generalization deficiencies independent of model scale. We then show that combining pretrained large language models' in-context learning abilities with scratchpad prompting (asking the model to output solution steps before producing an answer) results in a dramatic improvement in length generalization. We run careful failure analyses on each of the learning modalities and identify common sources of mistakes that highlight opportunities in equipping language models with the ability to generalize to longer problems.

NeurIPS Conference 2022 Conference Paper

Solving Quantitative Reasoning Problems with Language Models

  • Aitor Lewkowycz
  • Anders Andreassen
  • David Dohan
  • Ethan Dyer
  • Henryk Michalewski
  • Vinay Ramasesh
  • Ambrose Slone
  • Cem Anil

Language models have achieved remarkable performance on a wide range of tasks that require natural language understanding. Nevertheless, state-of-the-art models have generally struggled with tasks that require quantitative reasoning, such as solving mathematics, science, and engineering questions at the college level. To help close this gap, we introduce Minerva, a large language model pretrained on general natural language data and further trained on technical content. The model achieves strong performance in a variety of evaluations, including state-of-the-art performance on the MATH dataset. We also evaluate our model on over two hundred undergraduate-level problems in physics, biology, chemistry, economics, and other sciences that require quantitative reasoning, and find that the model can correctly answer nearly a quarter of them.

ICLR Conference 2021 Conference Paper

Understanding the failure modes of out-of-distribution generalization

  • Vaishnavh Nagarajan
  • Anders Andreassen
  • Behnam Neyshabur

Empirical studies suggest that machine learning models often rely on features, such as the background, that may be spuriously correlated with the label only during training time, resulting in poor accuracy during test-time. In this work, we identify the fundamental factors that give rise to this behavior, by explaining why models fail this way even in easy-to-learn tasks where one would expect these models to succeed. In particular, through a theoretical study of gradient-descent-trained linear classifiers on some easy-to-learn tasks, we uncover two complementary failure modes. These modes arise from how spurious correlations induce two kinds of skews in the data: one geometric in nature and another, statistical. Finally, we construct natural modifications of image classification datasets to understand when these failure modes can arise in practice. We also design experiments to isolate the two failure modes when training modern neural networks on these datasets.