Papers by William Merrill

12 papers
The Parallelism Tradeoff: Limitations of Log-Precision Transformers (2023.tacl-1)

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Challenge: Existing work on transformers established their Turing completeness, albeit with assumptions like infinite precision and arbitrarily powerful feedforward subnets.
Approach: They propose to simulate transformers whose arithmetic precision is logarithmic in the number of input tokens by constant-depth logspace-uniform threshold circuits.
Outcome: The proposed model emerges from the transformer architecture’s high parallelizability, suggesting a potential inherent weakness of the scaling paradigm.
A Formal Hierarchy of RNN Architectures (2020.acl-main)

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Challenge: Existing theories of expressive power of RNNs are limited.
Approach: They propose a formal hierarchy of the expressive capacity of RNN architectures based on two formal properties: space complexity and rational recurrence.
Outcome: The proposed model is based on the theory of “saturated” RNNs and shows that it obeys a similar hierarchy to unsaturated RNN models.
End-to-End Graph-Based TAG Parsing with Neural Networks (N18-1)

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Challenge: Using BiLSTMs, highway connections, and character-level CNNs, we propose a graph-based Tree Adjoining Grammar (TAG) parser.
Approach: They propose a graph-based Tree Adjoining Grammar parser that uses BiLSTMs, highway connections, and character-level CNNs.
Outcome: The proposed parser outperforms the previously reported best by more than 2.2 LAS and UAS points.
Effects of Parameter Norm Growth During Transformer Training: Inductive Bias from Gradient Descent (2021.emnlp-main)

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Challenge: Evidence is emerging that neural networks learn due to inductive bias in the training routine, typically a variant of gradient descent (GD).
Approach: They propose to characterize GD as an inductive bias in transformer training . they document norm growth in transformer language models and show they are saturated .
Outcome: Empirically, we document norm growth in the training of transformer language models . the results suggest saturation is a new characterization of an inductive bias implicit in GD .
ReCLIP: A Strong Zero-Shot Baseline for Referring Expression Comprehension (2022.acl-long)

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Challenge: Visual referring expression comprehension (ReC) models can be trained for a domain, but it remains unclear if they can be applied in a zero-shot manner to more complex tasks like ReC.
Approach: They propose a method that repurposes CLIP, a state-of-the-art large-scale model, for training a referring expression comprehension model for a new visual domain.
Outcome: The proposed model reduces the gap between zero-shot baselines from prior work and supervised models by as much as 29% on RefCOCOg, and on ReFGTA (video game imagery), and its relative improvement over supervised ReC models is 8%.
Evaluating n-Gram Novelty of Language Models Using Rusty-DAWG (2024.emnlp-main)

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Challenge: a new study examines how novel language models generate training text . large LMs and constrained decoding strategies both decrease novelty .
Approach: They develop a novel search tool inspired by genomic data to find n-grams in training data.
Outcome: The proposed tool can search for n-grams over a corpus in constant time w.r.t. large LMs and more constrained decoding strategies both decrease novelty.
Saturated Transformers are Constant-Depth Threshold Circuits (2022.tacl-1)

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Challenge: Recent work shows that transformers with hard attention are limited in power, but hard attention is a strong assumption.
Approach: They propose a generalization of hard attention that captures attention patterns in transformers with saturated attention.
Outcome: The proposed generalization of hard attention more closely captures the attention patterns learnable in practical transformers.
Can You Learn Semantics Through Next-Word Prediction? The Case of Entailment (2024.findings-acl)

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Challenge: et al. argued that sentence co-occurrence probabilities should reflect entailment . but it is unclear whether probabilities predicted by neural LMs encode enanglement based on their theory .
Approach: They propose a test that decodes entailment relations between natural sentences . they argue that the test that predicts a flipped test does not account for redundancy .
Outcome: The proposed test can decode entailment relations between natural sentences, but not perfectly.
Competency Problems: On Finding and Removing Artifacts in Language Data (2021.emnlp-main)

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Challenge: Recent work in NLP has documented dataset artifacts, bias, and spurious correlations . how to tell which features have spurious instead of legitimate correlations is typically left unspecified .
Approach: They propose a class of competency problems to formalize this notion into a classification . they show that realistic datasets will increasingly deviate from competency problems .
Outcome: The proposed model can be used to show that models are inappropriately affected by these less extreme biases.
Between Circuits and Chomsky: Pre-pretraining on Formal Languages Imparts Linguistic Biases (2025.acl-long)

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Challenge: Pretraining language models on formal language can improve their acquisition of natural language, but it is computationally limited.
Approach: They hypothesize that effective transfer occurs when the formal language captures hierarchical dependencies present in natural language and remains within the computational limitations of the model architecture.
Outcome: The proposed model can achieve lower loss on natural language and better generalization with a 33% smaller token budget than training on a matched amount of natural language.
Transparency Helps Reveal When Language Models Learn Meaning (2023.tacl-1)

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Challenge: Existing language models are trained to optimize unsupervised objectives on text . despite their centrality, current models do not represent natural language semantics well .
Approach: They show that autoregressive and masked language models learn to emulate semantic relations between expressions when context-dependent . they argue that a learner that has access to all Java code can never learn execution .
Outcome: a new study shows that language models fail to represent natural language semantics well . the authors show that the model learning fails when denotations are changed to be context-dependent .
Provable Limitations of Acquiring Meaning from Ungrounded Form: What Will Future Language Models Understand? (2021.tacl-1)

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Challenge: Language models trained on billions of tokens have recently led to unprecedented results on many NLP tasks.
Approach: They examine whether assertions enable a system to emulate representations preserving semantic relations like equivalence.
Outcome: The proposed model can emulate representations preserving semantic relations like equivalence, but it can become uncomputable for classes of languages where expressions can take different values in different contexts.

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