# N-gram Language Modeling using Recurrent Neural Network Estimation

arXiv: https://arxiv.org/abs/1703.10724 · HTML: https://mlsanity.com/paper/1703.10724/

## Key facts

- Cited by 6 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 31 Mar 2017.

## Built on by (most cited first, 6 of 6)

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- [State space models can express n-gram languages](https://mlsanity.com/paper/2306.17184/) (2023)
- [An N-gram based approach to auto-extracting topics from research articles](https://mlsanity.com/paper/2110.11879/) (2021)
- [Induced Model Matching: Restricted Models Help Train Full-Featured Models](https://mlsanity.com/paper/2402.12513/) (2024)
- [Performance-Efficiency Tradeoffs in Transformers: An Approximation Theory Perspective](https://mlsanity.com/paper/2510.03784/) (2025)

## Abstract (arXiv)

We investigate the effective memory depth of RNN models by using them for n-gram language model (LM) smoothing. Experiments on a small corpus (UPenn Treebank, one million words of training data and 10k vocabulary) have found the LSTM cell with dropout to be the best model for encoding the n-gram state when compared with feed-forward and vanilla RNN models. When preserving the sentence independence assumption the LSTM n-gram matches the LSTM LM performance for n=9 and slightly outperforms it for n=13. When allowing dependencies across sentence boundaries, the LSTM 13-gram almost matches the perplexity of the unlimited history LSTM LM. LSTM n-gram smoothing also has the desirable property of improving with increasing n-gram order, unlike the Katz or Kneser-Ney back-off estimators. Using multinomial distributions as targets in training instead of the usual one-hot target is only slightly beneficial for low n-gram orders. Experiments on the One Billion Words benchmark show that the results hold at larger scale: while LSTM smoothing for short n-gram contexts does not provide significant advantages over classic N-gram models, it becomes effective with long contexts (n > 5); depending on the task and amount of data it can match fully recurrent LSTM models at about n=13. This may have implications when modeling short-format text, e.g. voice search/query LMs. Building LSTM n-gram LMs may be appealing for some practical situations: the state in a n-gram LM can be succinctly represented with (n-1)*4 bytes storing the identity of the words in the context and batches of n-gram contexts can be processed in parallel. On the downside, the n-gram context encoding computed by the LSTM is discarded, making the model more expensive than a regular recurrent LSTM LM.
