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Unsupervised text encoding models have recently fueled substantial progress in NLP. The key idea is to use neural networks to convert words in texts to vector space representations based on word positions in a sentence and their contexts,…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Gengchen Mai , Krzysztof Janowicz , Bo Yan , Rui Zhu , Ling Cai , Ni Lao

Integrating compositional and symbolic properties into current distributional semantic spaces can enhance the interpretability, controllability, compositionality, and generalisation capabilities of Transformer-based auto-regressive language…

Computation and Language · Computer Science 2026-04-16 Yingji Zhang , Danilo S. Carvalho , André Freitas

As transformers are equivariant to the permutation of input tokens, encoding the positional information of tokens is necessary for many tasks. However, since existing positional encoding schemes have been initially designed for NLP tasks,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Takeru Miyato , Bernhard Jaeger , Max Welling , Andreas Geiger

Positional Encoder Graph Neural Networks (PE-GNNs) are among the most effective models for learning from continuous spatial data. However, their predictive distributions are often poorly calibrated, limiting their utility in applications…

When benefiting graphic sketch representation with sketch drawing orders, recent studies have linked sketch patches as graph edges by drawing orders in accordance to a temporal-based nearest neighboring strategy. However, such constructed…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Sicong Zang , Zhijun Fang

Vision multi-layer perceptrons (MLPs) have shown promising performance in computer vision tasks, and become the main competitor of CNNs and vision Transformers. They use token-mixing layers to capture cross-token interactions, as opposed to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Zhicai Wang , Yanbin Hao , Xingyu Gao , Hao Zhang , Shuo Wang , Tingting Mu , Xiangnan He

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

Autonomous agents such as cars, robots and drones need to precisely localize themselves in diverse environments, including in GPS-denied indoor environments. One approach for precise localization is visual place recognition (VPR), which…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Ni Wang , Zihan You , Emre Neftci , Thorben Schoepe

Accurately reconstructing road surfaces is pivotal for various applications especially in autonomous driving. This paper introduces a position encoding Multi-Layer Perceptrons (MLPs) framework to reconstruct road surfaces, with input as…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Ruibo Wang , Song Zhang , Ping Huang , Donghai Zhang , Haoyu Chen

Vision transformers have demonstrated significant advantages in computer vision tasks due to their ability to capture long-range dependencies and contextual relationships through self-attention. However, existing position encoding…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Xi Chen , Shiyang Zhou , Muqi Huang , Jiaxu Feng , Yun Xiong , Kun Zhou , Biao Yang , Yuhui Zhang , Huishuai Bao , Sijia Peng , Chuan Li , Feng Shi

Transformers have emerged as a universal backbone across 3D perception, video generation, and world models for autonomous driving and embodied AI, where understanding camera geometry is essential for grounding visual observations in…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Cheng Zhang , Boying Li , Meng Wei , Yan-Pei Cao , Camilo Cruz Gambardella , Dinh Phung , Jianfei Cai

CROSS exchange (CE), a meta-heuristic that solves various vehicle routing problems (VRPs), improves the solutions of VRPs by swapping the sub-tours of the vehicles. Inspired by CE, we propose Neuro CE (NCE), a fundamental operator of…

Machine Learning · Computer Science 2022-06-07 Minjun Kim , Junyoung Park , Jinkyoo Park

Two main families of node feature augmentation schemes have been explored for enhancing GNNs: random features and spectral positional encoding. Surprisingly, however, there is still no clear understanding of the relation between these two…

Machine Learning · Computer Science 2023-07-20 Moshe Eliasof , Fabrizio Frasca , Beatrice Bevilacqua , Eran Treister , Gal Chechik , Haggai Maron

Numerous Neural Combinatorial Optimization (NCO) solvers have been proposed to address Vehicle Routing Problems (VRPs). However, most of these solvers focus exclusively on single-vehicle VRP variants, overlooking the more realistic min-max…

Machine Learning · Computer Science 2026-03-17 Xuan Wu , Di Wang , Chunguo Wu , Kaifang Qi , Chunyan Miao , Yubin Xiao , Jian Zhang , You Zhou

Vector-mode geospatial data -- points, lines, and polygons -- must be encoded into an appropriate form in order to be used with traditional machine learning and artificial intelligence models. Encoding methods attempt to represent a given…

Machine Learning · Computer Science 2025-06-06 John Collins

Vehicle Routing Problems (VRPs) with diverse real-world attributes have driven recent interest in cross-problem learning approaches that efficiently generalize across problem variants. We propose ARC (Attribute Representation via…

Machine Learning · Computer Science 2025-12-23 Han-Seul Jeong , Youngjoon Park , Hyungseok Song , Woohyung Lim

Recent advances in 3D Large Multimodal Models (LMMs) built on Large Language Models (LLMs) have established the alignment of 3D visual features with LLM representations as the dominant paradigm. However, the inherited Rotary Position…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Guanting Ye , Qiyan Zhao , Wenhao Yu , Xiaofeng Zhang , Jianmin Ji , Yanyong Zhang , Ka-Veng Yuen

This paper introduces RouteFinder, a comprehensive foundation model framework to tackle different Vehicle Routing Problem (VRP) variants. Our core idea is that a foundation model for VRPs should be able to represent variants by treating…

Artificial Intelligence · Computer Science 2025-09-16 Federico Berto , Chuanbo Hua , Nayeli Gast Zepeda , André Hottung , Niels Wouda , Leon Lan , Junyoung Park , Kevin Tierney , Jinkyoo Park

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

We study positional encodings for multi-view transformers that process tokens from a set of posed input images, and seek a mechanism that encodes patches uniquely, allows $SE(3)$-invariant attention with multi-frequency similarity, and can…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Yu Wu , Minsik Jeon , Jen-Hao Rick Chang , Oncel Tuzel , Shubham Tulsiani