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We present a new class of efficient attention mechanisms applying universal 3D Relative Positional Encoding (RPE) methods given by arbitrary integrable modulation functions $f$. They lead to the new class of 3D-Transformer models, called…

Machine Learning · Computer Science 2026-05-12 Byeongchan Kim , Arijit Sehanobish , Avinava Dubey , Min-hwan Oh , Krzysztof Choromanski

Pre-trained language models demonstrate general intelligence and common sense, but long inputs quickly become a bottleneck for memorizing information at inference time. We resurface a simple method, Memorizing Transformers (Wu et al.,…

Machine Learning · Computer Science 2024-06-05 Phoebe Klett , Thomas Ahle

A novel method of exponentially stable adaptive control to compensate for matched parametric uncertainty under a mild condition of semi-persistent excitation (s-PE) of a regressor with piecewise-constant rank and nullspace is proposed. It…

Systems and Control · Electrical Eng. & Systems 2022-10-24 Anton Glushchenko , Konstantin Lastochkin

Although Vision Transformers (ViTs) have recently advanced computer vision tasks significantly, an important real-world problem was overlooked: adapting to variable input resolutions. Typically, images are resized to a fixed resolution,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Wenzhuo Liu , Fei Zhu , Shijie Ma , Cheng-Lin Liu

An essential ingredient of a spectral method is the choice of suitable bases for test and trial spaces. On complex domains, these bases are harder to devise, necessitating the use of domain partitioning techniques such as the spectral…

Numerical Analysis · Mathematics 2021-11-17 Saad Qadeer , Ehssan Nazockdast , Boyce E. Griffith

The attention module, which is a crucial component in Transformer, cannot scale efficiently to long sequences due to its quadratic complexity. Many works focus on approximating the dot-then-exponentiate softmax function in the original…

Machine Learning · Computer Science 2021-11-04 Shengjie Luo , Shanda Li , Tianle Cai , Di He , Dinglan Peng , Shuxin Zheng , Guolin Ke , Liwei Wang , Tie-Yan Liu

The proposed method extends upon the representational output of semantic instance segmentation by explicitly including both visible and occluded parts. A fully convolutional network is trained to produce consistent pixel-level embedding…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Yanfeng Liu , Eric Psota , Lance Pérez

Stellar spectra emulators often rely on large grids and tend to reach a plateau in emulation accuracy, leading to significant systematic errors when inferring stellar properties. Our study explores the use of Transformer models to capture…

Instrumentation and Methods for Astrophysics · Physics 2024-08-13 Tomasz Różański , Yuan-Sen Ting , Maja Jabłońska

This paper proposes Transducers with Pronunciation-aware Embeddings (PET). Unlike conventional Transducers where the decoder embeddings for different tokens are trained independently, the PET model's decoder embedding incorporates shared…

Computation and Language · Computer Science 2024-04-09 Hainan Xu , Zhehuai Chen , Fei Jia , Boris Ginsburg

Conditional text embedding is a proposed representation that captures the shift in perspective on texts when conditioned on a specific aspect. Previous methods have relied on extensive training data for fine-tuning models, leading to…

Computation and Language · Computer Science 2025-04-24 Kosuke Yamada , Peinan Zhang

This paper addresses the challenge of train-short-test-long (TSTL) scenarios in Large Language Models (LLMs) equipped with Rotary Position Embedding (RoPE), where models pre-trained on shorter sequences face difficulty with…

Computation and Language · Computer Science 2024-09-05 Suyuchen Wang , Ivan Kobyzev , Peng Lu , Mehdi Rezagholizadeh , Bang Liu

In this paper, we propose a novel deep architecture tailored for 3D point cloud applications, named as SPE-Net. The embedded ``Selective Position Encoding (SPE)'' procedure relies on an attention mechanism that can effectively attend to the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Zhaofan Qiu , Yehao Li , Yu Wang , Yingwei Pan , Ting Yao , Tao Mei

Sequence modeling has important applications in natural language processing and computer vision. Recently, the transformer-based models have shown strong performance on various sequence modeling tasks, which rely on attention to capture…

Computation and Language · Computer Science 2023-05-09 Zhen Qin , Xiaodong Han , Weixuan Sun , Bowen He , Dong Li , Dongxu Li , Yuchao Dai , Lingpeng Kong , Yiran Zhong

Multimodal position encoding is essential for vision-language models, yet there has been little systematic investigation into multimodal position encoding. We conduct a comprehensive analysis of multimodal Rotary Positional Embedding (RoPE)…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Jie Huang , Xuejing Liu , Sibo Song , Ruibing Hou , Hong Chang , Junyang Lin , Shuai Bai

This paper proposes a novel approach to word embeddings in Transformer models by utilizing spinors from geometric algebra. Spinors offer a rich mathematical framework capable of capturing complex relationships and transformations in…

Machine Learning · Computer Science 2024-10-02 Rick White

In this paper, we present an efficient method for storing fine-tuned models by leveraging the low-rank properties of weight residuals. Our key observation is that weight residuals in large overparameterized models exhibit even stronger…

Machine Learning · Computer Science 2023-05-31 Simo Ryu , Seunghyun Seo , Jaejun Yoo

Transformer architectures have established strong baselines in time series forecasting, yet they typically rely on positional encodings that assume uniform, index-based temporal progression. However, real-world systems, from shifting…

Machine Learning · Computer Science 2026-02-10 Yubin Kim , Viresh Pati , Jevon Twitty , Vinh Pham , Shihao Yang , Jiecheng Lu

Rotary Position Embedding (RoPE) has become a core component of modern Transformer architectures across language, vision, and 3D domains. However, existing implementations rely on vector-level split and merge operations that introduce…

Machine Learning · Computer Science 2026-04-14 Chen Minqi , Zhongqi Yue , Shihao Zhang , Yun Xu , Peng Wu , kaixiang Xu , Zeyi Huang , Hanwang Zhang

Vision Transformers have demonstrated remarkable success in computer vision tasks, yet their reliance on learnable one-dimensional positional embeddings fundamentally disrupts the inherent two-dimensional spatial structure of images through…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Zhihang Xin , Xitong Hu , Rui Wang

Large-scale knowledge bases have currently reached impressive sizes; however, these knowledge bases are still far from complete. In addition, most of the existing methods for knowledge base completion only consider the direct links between…

Computation and Language · Computer Science 2017-02-27 Xixun Lin , Yanchun Liang , Fausto Giunchiglia , Xiaoyue Feng , Renchu Guan