Challenge: Recurrent neural tensor networks (RNNs) increase capacity by augmenting the size of the hidden layer, with significant increase in computational cost.
Approach: They propose restricted recurrent neural tensor networks (r-RNTNs) which reserve distinct hidden layer weights for frequent vocabulary words while sharing a single set of weights .
Outcome: The proposed model outperforms unrestricted RNTNs using only a small fraction of the parameters of unrestrained RNNNs.

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Convolutional Neural Networks with Recurrent Neural Filters (D18-1)

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Challenge: Convolutional neural networks (CNNs) use recurrent neural networks as convolution filters to capture language compositionality and long-term dependencies.
Approach: They propose to use recurrent neural networks (RNNs) as convolution filters to capture language compositionality and long-term dependencies.
Outcome: The proposed convolutional neural networks achieve state-of-the-art on two sentences and the Stanford Sentiment Treebank.
Recurrent Neural Networks as Weighted Language Recognizers (N18-1)

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Challenge: Recent experiments show that RNNs outperform other methods in assigning high probability to held-out English text.
Approach: They focus on the single-layer, ReLU-activation, rational-weight RNNs with softmax . they show that most problems for such RNN are undecidable .
Outcome: The proposed model outperforms other methods in assigning high probability to held-out English text.
The Importance of Being Recurrent for Modeling Hierarchical Structure (D18-1)

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Challenge: Recent work shows that recurrent neural networks can implicitly capture hierarchical information when trained to solve common natural language processing tasks.
Approach: They propose a convolutional sequence-to-sequence model that exploits hierarchical information implicitly.
Outcome: The proposed model is recurrent and non-recurrent, and it can model hierarchical structure implicitly.
Using Large Corpus N-gram Statistics to Improve Recurrent Neural Language Models (N19-1)

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Challenge: a technique that uses large corpus n-gram statistics as a regularizer for training a neural network LM on a smaller corpus is effective, and more time-efficient than training on ngrams.
Approach: They propose a technique that uses large corpus n-gram statistics as a regularizer for training on a smaller corpus.
Outcome: The proposed technique is effective and more time-efficient than training on a larger corpus.
On the Practical Computational Power of Finite Precision RNNs for Language Recognition (P18-2)

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Challenge: Recurrent Neural Networks (RNNs) are famously known to be Turing complete, but this relies on infinite precision in the states and unbounded computation time.
Approach: They propose to use LSTM and Elman-RNN with ReLU activation to study RNNs . they show that LS and ReLU-RNns can easily implement counting behavior .
Outcome: The LSTM and the Elman-RNN with ReLU activation are stronger than the RNN with squashing activation and the GRU.
On the Representational Capacity of Recurrent Neural Language Models (2023.emnlp-main)

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Challenge: Existing studies have focused on LMs as formal languages, but they do not consider language membership.
Approach: They extend the Turing completeness result to the probabilistic case . they show that a rationally weighted RLM can simulate any deterministic Turing machine .
Outcome: The proposed model can simulate any deterministic Turing machine with rationally weighted transitions . the proposed model is based on recurrent neural networks with a rational weighting over strings .
Reusing Weights in Subword-Aware Neural Language Models (N18-1)

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Challenge: a statistical language model assigns a probability to a sequence of words . data sparsity is a major problem in building traditional n-gram language models .
Approach: They propose several ways to reuse subword embeddings and other weights in subword-aware neural language models.
Outcome: The proposed techniques do not benefit a competitive character-aware model . but they show significant reductions in model sizes and performance.
Quantity doesn’t buy quality syntax with neural language models (D19-1)

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Challenge: Recurrent neural network language models can learn to predict upcoming words with remarkably low perplexity . but in syntactically complex contexts, they often assign unexpectedly high probabilities to ungrammatical words .
Approach: They investigate whether recurrent neural networks can learn to predict upcoming words with remarkably low perplexity.
Outcome: The proposed models perform worse than GPT and BERT in some constructions than LSTMs in other contexts.
Lower Bounds on the Expressivity of Recurrent Neural Language Models (2024.naacl-long)

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Challenge: Recent studies of the representational capacity of neural LMs have focused on their ability to recognize formal languages.
Approach: They propose to connect recurrent neural networks (RNNs) as classifiers to finite-state automatas (FSAs) and a probabilistic FSA to characterize their representational capacity.
Outcome: The proposed models can express arbitrary regular LMs with linearly bounded precision.
Attention-based Conditioning Methods for External Knowledge Integration (P19-1)

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Challenge: Existing approaches for incorporating external knowledge into deep neural networks (RNNs) lexicon features are used to concatenate external information into the input or hidden network layers.
Approach: They propose a method for conditioning external knowledge into RNNs by concatenating a representation of the external information to the input or hidden network layers.
Outcome: The proposed approach improves performance on six benchmark datasets.

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