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The growing popularity of wearable sensors has generated large quantities of temporal physiological and activity data. Ability to analyze this data offers new opportunities for real-time health monitoring and forecasting. However, temporal…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Nazgol Tavabi , Kristina Lerman

In language processing, transformers benefit greatly from text being condensed. This is achieved through a larger vocabulary that captures word fragments instead of plain characters. This is often done with Byte Pair Encoding. In the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Tim Elsner , Paula Usinger , Julius Nehring-Wirxel , Gregor Kobsik , Victor Czech , Yanjiang He , Isaak Lim , Leif Kobbelt

State-of-the-art language models are autoregressive and operate on subword units known as tokens. Specifically, one must encode the conditioning string into a list of tokens before passing to the language models for next-token prediction.…

Computation and Language · Computer Science 2024-07-09 Buu Phan , Marton Havasi , Matthew Muckley , Karen Ullrich

Symbolic encoding has been used in multi-operator learning as a way to embed additional information for distinct time-series data. For spatiotemporal systems described by time-dependent partial differential equations, the equation itself…

Machine Learning · Computer Science 2024-09-19 Derek Jollie , Jingmin Sun , Zecheng Zhang , Hayden Schaeffer

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

Recent advancements in transformer-based models have greatly improved time series analysis, providing robust solutions for tasks such as forecasting, anomaly detection, and classification. A crucial element of these models is positional…

Machine Learning · Computer Science 2026-05-07 Habib Irani , Vangelis Metsis

How to best develop foundational models for time series forecasting remains an important open question. Tokenization is a crucial consideration in this effort: what is an effective discrete vocabulary for a real-valued sequential input? To…

In contemporary power systems, energy consumption prediction plays a crucial role in maintaining grid stability and resource allocation enabling power companies to minimize energy waste and avoid overloading the grid. While there are…

Machine Learning · Computer Science 2025-03-20 Aayam Bansal , Keertan Balaji , Zeus Lalani

Byte-based machine translation systems have shown significant potential in massively multilingual settings. Unicode encoding, which maps each character to specific byte(s), eliminates the emergence of unknown words, even in new languages.…

Computation and Language · Computer Science 2025-02-10 Langlin Huang , Mengyu Bu , Yang Feng

Transformer-based time series foundation models face a fundamental trade-off in choice of tokenization: point-wise embeddings preserve temporal fidelity but scale poorly with sequence length, whereas fixed-length patching improves…

Artificial Intelligence · Computer Science 2026-03-13 Sravan Kumar Ankireddy , Nikita Seleznev , Nam H. Nguyen , Yulun Wu , Senthil Kumar , Furong Huang , C. Bayan Bruss

Tokenization strategies shape how models process electronic health records, yet fair comparisons of their effectiveness remain limited. We present a systematic evaluation of tokenization approaches for clinical time series modeling using…

Machine Learning · Computer Science 2025-12-08 Rafi Al Attrach , Rajna Fani , David Restrepo , Yugang Jia , Peter Schüffler

Current time-series forecasting problems use short-term weather attributes as exogenous inputs. However, in specific time-series forecasting solutions (e.g., demand prediction in the supply chain), seasonal climate predictions are crucial…

Machine Learning · Computer Science 2023-09-06 Smit Marvaniya , Jitendra Singh , Nicolas Galichet , Fred Ochieng Otieno , Geeth De Mel , Kommy Weldemariam

The Byte Pair Encoding algorithm can be safely batched to merge hundreds of pairs of tokens at a time when building up a tokenizer's vocabulary. This technique combined with reducing the memory footprint of text used in vocabulary training…

Computation and Language · Computer Science 2024-08-12 Alexander P. Morgan

Subword tokenization methods, such as Byte-Pair Encoding (BPE), significantly impact the performance and efficiency of large language models (LLMs). The standard approach involves training a general-purpose tokenizer that uniformly…

Computation and Language · Computer Science 2026-01-30 Vijini Liyanage , François Yvon

In machine learning, effective modeling requires a holistic consideration of how to encode inputs, make predictions (i.e., decoding), and train the model. However, in time-series forecasting, prior work has predominantly focused on encoder…

Machine Learning · Computer Science 2025-12-30 Jaebin Lee , Hankook Lee

Time series forecasting presents significant challenges in real-world applications across various domains. Building upon the decomposition of the time series, we enhance the architecture of machine learning models for better multivariate…

Machine Learning · Computer Science 2026-02-24 Sanjeev Panta , Xu Yuan , Li Chen , Nian-Feng Tzeng

Recent advances in visual generation have made significant strides in producing content of exceptional quality. However, most methods suffer from a fundamental problem - a bottleneck of inference computational efficiency. Most of these…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Sahil Goyal , Debapriya Tula , Gagan Jain , Pradeep Shenoy , Prateek Jain , Sujoy Paul

Byte-Pair Encoding (BPE) is a widely used method for subword tokenization, with origins in grammar-based text compression. It is employed in a variety of language processing tasks such as machine translation or large language model (LLM)…

Data Structures and Algorithms · Computer Science 2024-11-14 László Kozma , Johannes Voderholzer

Byte-Pair Encoding (BPE) has become a widely adopted subword tokenization method in modern language models due to its simplicity and strong empirical performance across downstream tasks. However, applying BPE to unsegmented languages such…

Computation and Language · Computer Science 2025-06-23 Yifan Hu , Frank Liang , Dachuan Zhao , Jonathan Geuter , Varshini Reddy , Craig W. Schmidt , Chris Tanner

Long-term time series forecasting using transformers is hampered by the quadratic complexity of self-attention and the rigidity of uniform patching, which may be misaligned with the data's semantic structure. In this paper, we introduce the…

Machine Learning · Computer Science 2026-01-05 Maximilian Reinwardt , Michael Eichelbeck , Matthias Althoff
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