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Rotary positional embedding has become the state-of-the-art approach to encode position information in transformer-based models. While it is often succinctly expressed in complex linear algebra, we note that the actual implementation of…

Machine Learning · Computer Science 2026-04-02 Beicheng Lou , Zifei Xu , Vivian W. H. Wong

Dynamic locomotion of legged robots is a critical yet challenging topic in expanding the operational range of mobile robots. It requires precise planning when possible footholds are sparse, robustness against uncertainties and disturbances,…

Robotics · Computer Science 2025-06-12 Junzhe He , Chong Zhang , Fabian Jenelten , Ruben Grandia , Moritz BÄcher , Marco Hutter

Lane topology reasoning plays a critical role in autonomous driving by modeling the connections among lanes and the topological relationships between lanes and traffic elements. Most existing methods adopt a first-detect-then-reason…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Han Li , Shaofei Huang , Longfei Xu , Yulu Gao , Beipeng Mu , Si Liu

Modeling long sequences is crucial for various large-scale models; however, extending existing architectures to handle longer sequences presents significant technical and resource challenges. In this paper, we propose an efficient and…

Computation and Language · Computer Science 2024-10-08 Ning Wang , Zekun Li , Tongxin Bai , Guoqi Li

Spatial reasoning focuses on locating target objects based on spatial relations in 3D scenes, which plays a crucial role in developing intelligent embodied agents. Due to the limited availability of 3D scene-language paired data, it is…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Shengli Zhou , Minghang Zheng , Feng Zheng , Yang Liu

Multilayer-perceptrons (MLP) are known to struggle with learning functions of high-frequencies, and in particular cases with wide frequency bands. We present a spatially adaptive progressive encoding (SAPE) scheme for input signals of MLP…

Machine Learning · Computer Science 2021-05-31 Amir Hertz , Or Perel , Raja Giryes , Olga Sorkine-Hornung , Daniel Cohen-Or

Rotary Position Embedding (RoPE) is an efficient position encoding approach and is widely utilized in numerous large language models (LLMs). Recently, a lot of methods have been put forward to further expand the context window based on…

Computation and Language · Computer Science 2025-05-20 Wenqiao Zhu , Chao Xu , Lulu Wang , Jun Wu

How discriminative position information is for image classification depends on the data. On the one hand, the camera position is arbitrary and objects can appear anywhere in the image, arguing for translation invariance. At the same time,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Robert-Jan Bruintjes , Jan van Gemert

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

The ability to process ultra-long contexts is crucial for large language models (LLMs) to perform long-horizon tasks. While recent efforts have extended context windows to 1M and beyond, model performance degrades when sequence length…

Computation and Language · Computer Science 2026-05-28 Simin Huo

Despite the success of vision transformers (ViTs), they still suffer from significant drops in accuracy in the presence of common corruptions, such as noise or blur. Interestingly, we observe that the attention mechanism of ViTs tends to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Yong Guo , David Stutz , Bernt Schiele

Transformer models, which leverage architectural improvements like self-attention, perform remarkably well on Natural Language Processing (NLP) tasks. The self-attention mechanism is position agnostic. In order to capture positional…

Computation and Language · Computer Science 2021-09-28 Zhiheng Huang , Davis Liang , Peng Xu , Bing Xiang

In this paper, we investigate offline reinforcement learning (RL) with the goal of training a single robust policy that generalizes effectively across environments with unseen dynamics. We propose a novel approach, Trajectory Encoding…

Machine Learning · Computer Science 2025-01-28 Batıkan Bora Ormancı , Phillip Swazinna , Steffen Udluft , Thomas A. Runkler

We present a new Q-function operator for temporal difference (TD) learning methods that explicitly encodes robustness against significant rare events (SRE) in critical domains. The operator, which we call the $\kappa$-operator, allows to…

Machine Learning · Computer Science 2019-03-14 Richard Klima , Daan Bloembergen , Michael Kaisers , Karl Tuyls

Spatiotemporal predictive learning aims to generate future frames by learning from historical frames. In this paper, we investigate existing methods and present a general framework of spatiotemporal predictive learning, in which the spatial…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Cheng Tan , Zhangyang Gao , Lirong Wu , Yongjie Xu , Jun Xia , Siyuan Li , Stan Z. Li

Large reasoning models have achieved remarkable performance through extended chain-of-thought sequences, yet this computational freedom leads to excessive token generation even for simple problems. We present Length-Adaptive Policy…

Artificial Intelligence · Computer Science 2025-08-15 Xingyu Wu , Yuchen Yan , Shangke Lyu , Linjuan Wu , Yiwen Qiu , Yongliang Shen , Weiming Lu , Jian Shao , Jun Xiao , Yueting Zhuang

Text-to-point-cloud cross-modal localization is an emerging vision-language task critical for future robot-human collaboration. It seeks to localize a position from a city-scale point cloud scene based on a few natural language…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Lichao Wang , Zhihao Yuan , Jinke Ren , Shuguang Cui , Zhen Li

Long-range correlations are essential across numerous machine learning tasks, especially for data embedded in Euclidean space, where the relative positions and orientations of distant components are often critical for accurate predictions.…

Machine Learning · Computer Science 2025-09-30 J. Thorben Frank , Stefan Chmiela , Klaus-Robert Müller , Oliver T. Unke

Transformer and its variants are fundamental neural architectures in deep learning. Recent works show that learning attention in the Fourier space can improve the long sequence learning capability of Transformers. We argue that wavelet…

Computation and Language · Computer Science 2023-05-24 Yufan Zhuang , Zihan Wang , Fangbo Tao , Jingbo Shang

Generalizing to longer sentences is important for recent Transformer-based language models. Besides algorithms manipulating explicit position features, the success of Transformers without position encodings (NoPE) provides a new way to…

Computation and Language · Computer Science 2024-05-29 Jie Wang , Tao Ji , Yuanbin Wu , Hang Yan , Tao Gui , Qi Zhang , Xuanjing Huang , Xiaoling Wang