English
Related papers

Related papers: Tokenisation via Convex Relaxations

200 papers

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani

Tokenization is fundamental to Natural Language Processing (NLP), directly impacting model efficiency and linguistic fidelity. While Byte Pair Encoding (BPE) is widely used in Large Language Models (LLMs), it often disregards morpheme…

Computation and Language · Computer Science 2025-02-04 Ehsaneddin Asgari , Yassine El Kheir , Mohammad Ali Sadraei Javaheri

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

Machine Learning · Computer Science 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

Low-rank tensor completion problem aims to recover a tensor from limited observations, which has many real-world applications. Due to the easy optimization, the convex overlapping nuclear norm has been popularly used for tensor completion.…

Machine Learning · Computer Science 2019-01-24 Quanming Yao , James T Kwok , Bo Han

Tokenization imposes a fixed granularity on the input text, freezing how a language model operates on data and how far in the future it predicts. Byte Pair Encoding (BPE) and similar schemes split text once, build a static vocabulary, and…

Computation and Language · Computer Science 2025-06-18 Mathurin Videau , Badr Youbi Idrissi , Alessandro Leite , Marc Schoenauer , Olivier Teytaud , David Lopez-Paz

The popular subword tokenizers of current language models, such as Byte-Pair Encoding (BPE), are known not to respect morpheme boundaries, which affects the downstream performance of the models. While many improved tokenization algorithms…

Computation and Language · Computer Science 2024-04-23 Khuyagbaatar Batsuren , Ekaterina Vylomova , Verna Dankers , Tsetsuukhei Delgerbaatar , Omri Uzan , Yuval Pinter , Gábor Bella

Large Language Models (LLMs) are gaining popularity and improving rapidly. Tokenizers are crucial components of natural language processing, especially for LLMs. Tokenizers break down input text into tokens that models can easily process…

Computation and Language · Computer Science 2025-09-22 Tandin Wangchuk , Tad Gonsalves

Many practical problems involve the recovery of a binary matrix from partial information, which makes the binary matrix completion (BMC) technique received increasing attention in machine learning. In particular, we consider a special case…

Machine Learning · Computer Science 2019-04-09 Chunsheng Liu

Recent works have shown that tokenisation is NP-complete. However, these works assume tokenisation is applied to inputs with unboundedly large alphabets -- an unrealistic assumption, given that in practice tokenisers operate over fixed-size…

Computation and Language · Computer Science 2025-11-20 Violeta Kastreva , Philip Whittington , Dennis Komm , Tiago Pimentel

Efficiency and safety of Large Language Models (LLMs), among other factors, rely on the quality of tokenization. A good tokenizer not only improves inference speed and language understanding but also provides extra defense against jailbreak…

Computation and Language · Computer Science 2026-04-16 Pavel Chizhov , Egor Bogomolov , Ivan P. Yamshchikov

The increasing reliance on numerical methods for controlling dynamical systems and training machine learning models underscores the need to devise algorithms that dependably and efficiently navigate complex optimization landscapes.…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Andrea Martin , Luca Furieri

In this work, we show a fundamental limitation in vocabulary adaptation approaches that use Byte-Pair Encoding (BPE) tokenization scheme for fine-tuning pretrained language models (PLMs) to expert domains. Current approaches trivially…

Computation and Language · Computer Science 2025-04-29 Gunjan Balde , Soumyadeep Roy , Mainack Mondal , Niloy Ganguly

With neural networks being used to control safety-critical systems, they increasingly have to be both accurate (in the sense of matching inputs to outputs) and robust. However, these two properties are often at odds with each other and a…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Ross Drummond , Chris Guiver , Matthew C. Turner

While transformer-based models achieve strong performance on text classification, we explore whether masking input tokens can further enhance their effectiveness. We propose token masking regularization, a simple yet theoretically motivated…

Computation and Language · Computer Science 2025-05-20 Xianglong Xu , John Bowen , Rojin Taheri

Tokenization underlies every large language model, yet it remains an under-theorized and inconsistently designed component. Common subword approaches such as Byte Pair Encoding (BPE) offer scalability but often misalign with linguistic…

Computation and Language · Computer Science 2026-01-27 Sawsan Alqahtani , Mir Tafseer Nayeem , Md Tahmid Rahman Laskar , Tasnim Mohiuddin , M Saiful Bari

Byte-Pair Encoding (BPE) is a popular algorithm used for tokenizing data in NLP, despite being devised initially as a compression method. BPE appears to be a greedy algorithm at face value, but the underlying optimization problem that BPE…

Computation and Language · Computer Science 2024-09-04 Vilém Zouhar , Clara Meister , Juan Luis Gastaldi , Li Du , Tim Vieira , Mrinmaya Sachan , Ryan Cotterell

Tokenizer is an essential component for large language models (LLMs), and a tokenizer with a high compression rate can improve the model's representation and processing efficiency. However, the tokenizer cannot ensure high compression rate…

Computation and Language · Computer Science 2024-10-08 Shuhao Gu , Mengdi Zhao , Bowen Zhang , Liangdong Wang , Jijie Li , Guang Liu

The use of convex regularizers allows for easy optimization, though they often produce biased estimation and inferior prediction performance. Recently, nonconvex regularizers have attracted a lot of attention and outperformed convex ones.…

Optimization and Control · Mathematics 2017-02-14 Quanming Yao , James. T Kwok

Tokenization is a fundamental preprocessing step for almost all NLP tasks. In this paper, we propose efficient algorithms for the WordPiece tokenization used in BERT, from single-word tokenization to general text (e.g., sentence)…

Computation and Language · Computer Science 2021-10-07 Xinying Song , Alex Salcianu , Yang Song , Dave Dopson , Denny Zhou

Nonconvex methods have emerged as a dominant approach for low-rank matrix estimation, a problem that arises widely in machine learning and AI for learning and representing high-dimensional data. Existing analyses for these methods often…

Machine Learning · Statistics 2026-05-08 Chengyu Cui , Gongjun Xu