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We propose a new class of linear Transformers called FourierLearner-Transformers (FLTs), which incorporate a wide range of relative positional encoding mechanisms (RPEs). These include regular RPE techniques applied for sequential data, as…

Transformer-based methods have shown great potential in long-term time series forecasting. However, most of these methods adopt the standard point-wise self-attention mechanism, which not only becomes intractable for long-term forecasting…

Machine Learning · Computer Science 2022-02-24 Dazhao Du , Bing Su , Zhewei Wei

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

Implicit neural representations (INRs) are increasingly being used as tools to map coordinates to signals, encompassing applications from neural fields to texture compression, shape representations, and beyond. Most INR methods are based on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Guillaume Perez , Janarbek Matai , Takahiro Harada

Rotary Positional Encoding (RoPE) is widely used in modern large language models. However, when sequences are extended beyond the range seen during training, rotary phases can enter out-of-distribution regimes, leading to spurious…

Machine Learning · Computer Science 2026-05-12 Riccardo Ali , Alessio Borgi , Christopher Irwin , Mario Severino , Pietro Liò

Graph Transformers, which incorporate self-attention and positional encoding, have recently emerged as a powerful architecture for various graph learning tasks. Despite their impressive performance, the complex non-convex interactions…

Machine Learning · Computer Science 2024-06-05 Hongkang Li , Meng Wang , Tengfei Ma , Sijia Liu , Zaixi Zhang , Pin-Yu Chen

Byte-Pair Encoding (BPE) is an algorithm commonly used in Natural Language Processing to build a vocabulary of subwords, which has been recently applied to symbolic music. Given that symbolic music can differ significantly from text,…

Information Retrieval · Computer Science 2024-10-03 Dinh-Viet-Toan Le , Louis Bigo , Mikaela Keller

Patch-based transformers have emerged as efficient and improved long-horizon modeling architectures for time series modeling. Yet, existing approaches rely on temporally-agnostic patch construction, where arbitrary starting positions and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Sachith Abeywickrama , Emadeldeen Eldele , Min Wu , Xiaoli Li , Chau Yuen

It is well noted that coordinate based MLPs benefit -- in terms of preserving high-frequency information -- through the encoding of coordinate positions as an array of Fourier features. Hitherto, the rationale for the effectiveness of these…

Machine Learning · Computer Science 2021-10-13 Jianqiao Zheng , Sameera Ramasinghe , Simon Lucey

Positional and structural encodings (PSE) enable better identifiability of nodes within a graph, rendering them essential tools for empowering modern GNNs, and in particular graph Transformers. However, designing PSEs that work optimally…

Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Yunlong Ma , Gang Yu , Tianran Lin , Qingtang Jiang

The ubiquitous time-delay estimation (TDE) problem becomes nontrivial when sensors are non-co-located and communication between them is limited. Building on the recently proposed "extremum encoding" compression-estimation scheme, we address…

Signal Processing · Electrical Eng. & Systems 2024-12-25 Amir Weiss , Yuval Kochman , Gregory W. Wornell

A major challenge for transformers is generalizing to sequences longer than those observed during training. While previous works have empirically shown that transformers can either succeed or fail at length generalization depending on the…

Machine Learning · Computer Science 2025-05-01 Xinting Huang , Andy Yang , Satwik Bhattamishra , Yash Sarrof , Andreas Krebs , Hattie Zhou , Preetum Nakkiran , Michael Hahn

Vision Transformers have achieved remarkable success in computer vision, but their common use of learnable one-dimensional positional encodings weakens the inherent two-dimensional spatial structure of images after patch flattening.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Zhihang Xin , Rui Wang , Xitong Hu , Xiaojun Wu

Transformers are increasingly prevalent for multi-view computer vision tasks, where geometric relationships between viewpoints are critical for 3D perception. To leverage these relationships, multi-view transformers must use camera geometry…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Ruilong Li , Brent Yi , Junchen Liu , Hang Gao , Yi Ma , Angjoo Kanazawa

In order to preserve word-order information in a non-autoregressive setting, transformer architectures tend to include positional knowledge, by (for instance) adding positional encodings to token embeddings. Several modifications have been…

Computation and Language · Computer Science 2021-09-14 Vinit Ravishankar , Anders Søgaard

Frequency-domain channel extrapolation is effective in reducing pilot overhead for massive multiple-input multiple-output (MIMO) systems. Recently, Deep learning (DL) based channel extrapolator has become a promising candidate for modeling…

Signal Processing · Electrical Eng. & Systems 2025-05-21 Haoyu Wang , Zhi Sun , Shuangfeng Han , Xiaoyun Wang , Zhaocheng Wang

Although Transformer-based methods have significantly improved state-of-the-art results for long-term series forecasting, they are not only computationally expensive but more importantly, are unable to capture the global view of time series…

Machine Learning · Computer Science 2022-06-17 Tian Zhou , Ziqing Ma , Qingsong Wen , Xue Wang , Liang Sun , Rong Jin

Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.…

Artificial Intelligence · Computer Science 2022-08-18 Ailing Zeng , Muxi Chen , Lei Zhang , Qiang Xu

Most approaches for semantic segmentation use only information from color cameras to parse the scenes, yet recent advancements show that using depth data allows to further improve performances. In this work, we focus on transformer-based…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Francesco Barbato , Giulia Rizzoli , Pietro Zanuttigh