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Compositionality decomposed: how do neural networks generalise? (1908.08351v2)

Published 22 Aug 2019 in cs.CL, cs.AI, cs.LG, and stat.ML

Abstract: Despite a multitude of empirical studies, little consensus exists on whether neural networks are able to generalise compositionally, a controversy that, in part, stems from a lack of agreement about what it means for a neural model to be compositional. As a response to this controversy, we present a set of tests that provide a bridge between, on the one hand, the vast amount of linguistic and philosophical theory about compositionality of language and, on the other, the successful neural models of language. We collect different interpretations of compositionality and translate them into five theoretically grounded tests for models that are formulated on a task-independent level. In particular, we provide tests to investigate (i) if models systematically recombine known parts and rules (ii) if models can extend their predictions beyond the length they have seen in the training data (iii) if models' composition operations are local or global (iv) if models' predictions are robust to synonym substitutions and (v) if models favour rules or exceptions during training. To demonstrate the usefulness of this evaluation paradigm, we instantiate these five tests on a highly compositional data set which we dub PCFG SET and apply the resulting tests to three popular sequence-to-sequence models: a recurrent, a convolution-based and a transformer model. We provide an in-depth analysis of the results, which uncover the strengths and weaknesses of these three architectures and point to potential areas of improvement.

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Authors (4)
  1. Dieuwke Hupkes (49 papers)
  2. Verna Dankers (14 papers)
  3. Mathijs Mul (5 papers)
  4. Elia Bruni (32 papers)
Citations (303)

Summary

Compositionality Decomposed: How Do Neural Networks Generalise?

In the given paper by Hupkes et al., the authors address a pivotal question within the domain of artificial intelligence and natural language processing: do neural networks generalize compositionally? This inquiry is significant as it targets the often-overlooked intersection of symbolic theoretical frameworks in linguistics and the empirical landscape dominated by statistical models. The authors introduce a set of task-independent tests derived from linguistic and philosophical theories of language compositionality. These tests aim to elucidate the extent to which popular neural network architectures embody compositional principles naturally observed in human languages.

Key Aspects of the Research

To frame their inquiry, the researchers synthesize broad interpretations of compositionality into five key tests that aim to capture distinct facets of compositional generalization:

  1. Systematicity: Investigating whether models systematically recombine known elements (atomic parts and rules) to understand new sequences.
  2. Productivity: Evaluating a model's capability to make predictions for sequences beyond the lengths seen during training, reflecting a potential for infinite creativity or productivity.
  3. Substitutivity: Analyzing the robustness of model predictions in the face of synonym substitutions, thereby understanding synonymy in contextual embeddings.
  4. Localism: Testing whether neural models apply local composition operations, i.e., evaluating smaller constituents before larger structures to unearth global vs. local processing.
  5. Overgeneralisation: Gauging whether models incline towards rule application—evaluating the balance between rule governance and exception memorization.

These tests are instantiated on a synthetically generated dataset, PCFG SET, designed to mimic the structural properties of natural language, ensuring relevance in examining compositionality.

Empirical Analysis and Results

The authors apply their evaluation suite to a cohort of neural architectures: LSTMS2S (LSTM-based), ConvS2S (convolution-based), and the Transformer (attention-based). They report several salient findings:

  • Task Performance Overall: The Transformer outperforms both the LSTMS2S and the ConvS2S architectures in overall sequence accuracy, suggesting a superior capacity for function-composition and productive generalization.
  • Systematicity & Productivity Tests: All models exhibited limitations in systematic recombination and generalization to unseen longer sequences, implying that neural models might rely on memorization over genuine abstraction in these contexts.
  • Substitutivity & Localism: There are significant differences in how models treat synonyms and structural decompositions. Transformer models, often superior in synonym handling, demonstrate a capacity to form robust embeddings, whereas localism results unveil challenges in decomposing sequences systematically.
  • Overgeneralisation Patterns: ConvS2S and Transformer demonstrated greater adaptability in moving between exceptions and rule-based generalizations compared to LSTMS2S, indicating variations in preference for memorization versus rule learning across architectures.

Broader Implications and Future Directions

The paper's implications extend both theoretically and practically within AI. The reported gaps in systematicity and productivity emphasize areas where neural networks potentially deviate from human-like compositionality, suggesting avenues for architectural innovation or alternative training regimes. Meanwhile, the tests provide a refined framework for understanding compositional generalization, while their application across architectures highlights distinct model behaviors, moving the research toward clearer benchmarks for compositional learning in AI.

The authors rightly propose that future research could extrapolate these findings to real-world data, thus bridging insights from synthetic frameworks to noisy, semantically-rich natural languages. Such an effort would illuminate whether limitations observed in artificial settings persist in practice and how advances in model architectures might address these enduring challenges in compositionality. An evolving dialogue between formal compositional theories and empirical modeling seems not only beneficial but essential for this line of inquiry.