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We analyze the saliency of neural networks and employ interpretable machine learning models to predict whether the Kronecker coefficients of the symmetric group are zero or not. Our models use triples of partitions as input features, as…

Machine Learning · Computer Science 2025-02-18 Giorgi Butbaia , Kyu-Hwan Lee , Fabian Ruehle

When used with deep learning, the symbolic music modality is often coupled with language model architectures. To do so, the music needs to be tokenized, i.e. converted into a sequence of discrete tokens. This can be achieved by different…

Machine Learning · Computer Science 2023-11-14 Nathan Fradet , Nicolas Gutowski , Fabien Chhel , Jean-Pierre Briot

Sequence models for binary analysis are bottlenecked by byte-level tokenization: raw bytes waste precious context window capacity for transformers and other neural network architectures, and many existing text-oriented tokenizers fail on…

Machine Learning · Computer Science 2025-11-25 Michael J. Bommarito

The Kronecker coefficients are the decomposition multiplicities of the tensor product of two irreducible representations of the symmetric group. Unlike the Littlewood--Richardson coefficients, which are the analogues for the general linear…

Representation Theory · Mathematics 2023-06-09 Kyu-Hwan Lee

Efficient text embedding is crucial for large-scale natural language processing (NLP) applications, where storage and computational efficiency are key concerns. In this paper, we explore how using binary representations (barcodes) instead…

Computation and Language · Computer Science 2025-07-24 Soumen Sinha , Shahryar Rahnamayan , Azam Asilian Bidgoli

Tokenization is the process of encoding strings into tokens of a fixed vocabulary size, and is widely utilized in Natural Language Processing applications. The leading tokenization algorithm today is Byte-Pair Encoding (BPE), which…

Computation and Language · Computer Science 2025-09-30 Jia Peng Lim , Shawn Tan , Davin Choo , Hady W. Lauw

Learning token embeddings based on token co-occurrence statistics has proven effective for both pre-training and fine-tuning in natural language processing. However, recent studies have pointed out that the distribution of learned…

Computation and Language · Computer Science 2024-10-17 Ying Zhang , Dongyuan Li , Manabu Okumura

We explore threshold vocabulary trimming in Byte-Pair Encoding subword tokenization, a postprocessing step that replaces rare subwords with their component subwords. The technique is available in popular tokenization libraries but has not…

Computation and Language · Computer Science 2024-04-02 Marco Cognetta , Tatsuya Hiraoka , Naoaki Okazaki , Rico Sennrich , Yuval Pinter

Representation learning plays a central role in structuring internal embeddings to capture the statistical properties of language, influencing the coherence and contextual consistency of generated text. Statistical Coherence Alignment is…

Computation and Language · Computer Science 2025-08-11 Jonathan Gale , Godfrey Aldington , Harriet Thistlewood , Thomas Tattershall , Basil Wentworth , Vincent Enoasmo

Modern tokenizers employ deterministic algorithms to map text into a single "canonical" token sequence, yet the same string can be encoded as many non-canonical tokenizations using the tokenizer vocabulary. In this work, we investigate the…

Computation and Language · Computer Science 2026-02-04 Brian Siyuan Zheng , Alisa Liu , Orevaoghene Ahia , Jonathan Hayase , Yejin Choi , Noah A. Smith

Transformer-based large language models exhibit groundbreaking capabilities, but their storage and computational costs are prohibitively high, limiting their application in resource-constrained scenarios. An effective approach is to…

Machine Learning · Computer Science 2024-12-18 Jing Zhang , Shuzhen Sun , Peng Zhang , Guangxing Cao , Hui Gao , Xindian Ma , Nan Xu , Yuexian Hou

Tokenization is used almost universally by modern language models, enabling efficient text representation using multi-byte or multi-character tokens. However, prior work has shown that tokenization can introduce distortion into the model's…

Computation and Language · Computer Science 2026-05-08 Jonathan Hayase , Alisa Liu , Noah A. Smith , Sewoong Oh

Large language model (LLM) tokenizers act as structured compressors: by mapping text to discrete token sequences, they determine token count (and thus compute and context usage) and the statistical structure seen by downstream models.…

Information Theory · Computer Science 2026-01-15 Mete Erdogan , Abhiram Gorle , Shubham Chandak , Mert Pilanci , Tsachy Weissman

In the era of deep learning, word embeddings are essential when dealing with text tasks. However, storing and accessing these embeddings requires a large amount of space. This is not conducive to the deployment of these models on…

Computation and Language · Computer Science 2022-10-28 Guobing Gan , Peng Zhang , Sunzhu Li , Xiuqing Lu , Benyou Wang

Multi-task learning is useful in NLP because it is often practically desirable to have a single model that works across a range of tasks. In the medical domain, sequential training on tasks may sometimes be the only way to train models,…

Computation and Language · Computer Science 2021-11-12 Denis Jered McInerney , Luyang Kong , Kristjan Arumae , Byron Wallace , Parminder Bhatia

In neural network-based models for natural language processing (NLP), the largest part of the parameters often consists of word embeddings. Conventional models prepare a large embedding matrix whose size depends on the vocabulary size.…

Computation and Language · Computer Science 2020-10-26 Sho Takase , Sosuke Kobayashi

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as…

Computation and Language · Computer Science 2017-02-27 Cem Safak Sahin , Rajmonda S. Caceres , Brandon Oselio , William M. Campbell

Conventional representation learning algorithms for knowledge graphs (KG) map each entity to a unique embedding vector. Such a shallow lookup results in a linear growth of memory consumption for storing the embedding matrix and incurs high…

Computation and Language · Computer Science 2022-02-03 Mikhail Galkin , Etienne Denis , Jiapeng Wu , William L. Hamilton

Digital ink -- the coordinate stream captured from stylus or touch input -- lacks a unified representation. Continuous vector representations produce long sequences and suffer from training instability, while existing token representations…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Douglass Wang

Neural machine translation (NMT) models are typically trained with fixed-size input and output vocabularies, which creates an important bottleneck on their accuracy and generalization capability. As a solution, various studies proposed…

Computation and Language · Computer Science 2018-05-08 Duygu Ataman , Marcello Federico