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In this work, we leverage the intrinsic segmentation of language sequences and design a new positional encoding method called Bilevel Positional Encoding (BiPE). For each position, our BiPE blends an intra-segment encoding and an…

Machine Learning · Computer Science 2024-06-18 Zhenyu He , Guhao Feng , Shengjie Luo , Kai Yang , Liwei Wang , Jingjing Xu , Zhi Zhang , Hongxia Yang , Di He

Transformers are increasingly employed for graph data, demonstrating competitive performance in diverse tasks. To incorporate graph information into these models, it is essential to enhance node and edge features with positional encodings.…

We show that viewing graphs as sets of node features and incorporating structural and positional information into a transformer architecture is able to outperform representations learned with classical graph neural networks (GNNs). Our…

Machine Learning · Computer Science 2021-06-11 Grégoire Mialon , Dexiong Chen , Margot Selosse , Julien Mairal

We propose Parabolic Position Encoding (PaPE), a parabola-based position encoding for vision modalities in attention-based architectures. Given a set of vision tokens-such as from videos, event camera streams, images, or point clouds-our…

Neural implicit surface representations are currently receiving a lot of interest as a means to achieve high-fidelity surface reconstruction at a low memory cost, compared to traditional explicit representations.However, state-of-the-art…

Robotics · Computer Science 2024-09-20 Shuo Sun , Malcolm Mielle , Achim J. Lilienthal , Martin Magnusson

Rotary Positional Embedding (RoPE) is a common choice in transformer architectures for encoding relative positional information. Although earlier work has examined omitting RoPE in specific layers, the effect of varying the fraction of…

Machine Learning · Computer Science 2026-03-13 Mohammad Aflah Khan , Krishna P. Gummadi , Manish Gupta , Abhilasha Ravichander

Unsupervised learning of vision transformers seeks to pretrain an encoder via pretext tasks without labels. Among them is the Masked Image Modeling (MIM) aligned with pretraining of language transformers by predicting masked patches as a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Xiao Wang , Ying Wang , Ziwei Xuan , Guo-Jun Qi

Graph transformers extend global self-attention to graph-structured data, achieving notable success in graph learning. Recently, random walk structural encoding (RWSE) has been found to further enhance their predictive power by encoding…

Machine Learning · Computer Science 2025-06-03 Louis Airale , Antonio Longa , Mattia Rigon , Andrea Passerini , Roberto Passerone

We present a novel type of neural fields that uses general radial bases for signal representation. State-of-the-art neural fields typically rely on grid-based representations for storing local neural features and N-dimensional linear…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Zhang Chen , Zhong Li , Liangchen Song , Lele Chen , Jingyi Yu , Junsong Yuan , Yi Xu

Deep reinforcement learning agents are often fragile while humans remain adaptive and flexible to varying scenarios. To bridge this gap, we present EDEN, a biologically inspired navigation framework that integrates learned entorhinal-like…

Graph neural networks (GNNs) largely rely on the message-passing paradigm, where nodes iteratively aggregate information from their neighbors. Yet, standard message passing neural networks (MPNNs) face well-documented theoretical and…

Machine Learning · Computer Science 2026-05-15 Juan Amboage , Ernst Röell , Patrick Schnider , Bastian Rieck

With the increases in computational power and advances in machine learning, data-driven learning-based methods have gained significant attention in solving PDEs. Physics-informed neural networks (PINNs) have recently emerged and succeeded…

Machine Learning · Computer Science 2023-02-07 Namgyu Kang , Byeonghyeon Lee , Youngjoon Hong , Seok-Bae Yun , Eunbyung Park

High-precision positioning is vital for cellular networks to support innovative applications such as extended reality, unmanned aerial vehicles (UAVs), and industrial Internet of Things (IoT) systems. Existing positioning algorithms using…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Shugong Xu , Jun Jiang , Wenjun Yu , Yilin Gao , Guangjin Pan , Shiyi Mu , Zhiqi Ai , Yuan Gao , Peigang Jiang , Cheng-Xiang Wang

The encoding of input parameters is one of the fundamental building blocks of neural network algorithms. Its goal is to map the input data to a higher-dimensional space, typically supported by trained feature vectors. The mapping is crucial…

Graphics · Computer Science 2025-07-29 Jakub Bokšanský , Daniel Meister , Carsten Benthin

This paper proposes a novel heterogeneous grid convolution that builds a graph-based image representation by exploiting heterogeneity in the image content, enabling adaptive, efficient, and controllable computations in a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Ryuhei Hamaguchi , Yasutaka Furukawa , Masaki Onishi , Ken Sakurada

Recent advancements in large-scale pre-training have shown the potential to learn generalizable representations for downstream tasks. In the graph domain, however, capturing and transferring structural information across different graph…

Machine Learning · Computer Science 2026-02-24 Jialin Chen , Haolan Zuo , Haoyu Peter Wang , Siqi Miao , Pan Li , Rex Ying

In contrast to fully connected networks, Convolutional Neural Networks (CNNs) achieve efficiency by learning weights associated with local filters with a finite spatial extent. An implication of this is that a filter may know what it is…

Computer Vision and Pattern Recognition · Computer Science 2021-02-01 Md Amirul Islam , Matthew Kowal , Sen Jia , Konstantinos G. Derpanis , Neil D. B. Bruce

Despite the great progress in 3D human pose estimation from videos, it is still an open problem to take full advantage of a redundant 2D pose sequence to learn representative representations for generating one 3D pose. To this end, we…

Computer Vision and Pattern Recognition · Computer Science 2022-01-12 Wenhao Li , Hong Liu , Runwei Ding , Mengyuan Liu , Pichao Wang , Wenming Yang

Recent advances in localized implicit functions have enabled neural implicit representation to be scalable to large scenes. However, the regular subdivision of 3D space employed by these approaches fails to take into account the sparsity of…

Graphics · Computer Science 2021-11-02 Jia-Heng Tang , Weikai Chen , Jie Yang , Bo Wang , Songrun Liu , Bo Yang , Lin Gao

Recent advances in integrating positional and structural encodings (PSEs) into graph neural networks (GNNs) have significantly enhanced their performance across various graph learning tasks. However, the general applicability of these…

Machine Learning · Computer Science 2025-03-04 Billy Joe Franks , Moshe Eliasof , Semih Cantürk , Guy Wolf , Carola-Bibiane Schönlieb , Sophie Fellenz , Marius Kloft
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