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Positional encodings are a common component of neural scene reconstruction methods, and provide a way to bias the learning of neural fields towards coarser or finer representations. Current neural surface reconstruction methods use a…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Thomas Walker , Octave Mariotti , Amir Vaxman , Hakan Bilen

Spatial representation learning is essential for GeoAI applications such as urban analytics, enabling the encoding of shapes, locations, and spatial relationships (topological and distance-based) of geo-entities like points, polylines, and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Chen Chu , Cyrus Shahabi

Generating learning-friendly representations for points in a 2D space is a fundamental and long-standing problem in machine learning. Recently, multi-scale encoding schemes (such as Space2Vec) were proposed to directly encode any point in…

Computer Vision and Pattern Recognition · Computer Science 2022-01-26 Gengchen Mai , Yao Xuan , Wenyun Zuo , Krzysztof Janowicz , Ni Lao

Learning representations of geographical space is vital for any machine learning model that integrates geolocated data, spanning application domains such as remote sensing, ecology, or epidemiology. Recent work embeds coordinates using sine…

Machine Learning · Computer Science 2024-04-16 Marc Rußwurm , Konstantin Klemmer , Esther Rolf , Robin Zbinden , Devis Tuia

We introduce an unsupervised technique for encoding point clouds into a canonical shape representation, by disentangling shape and pose. Our encoder is stable and consistent, meaning that the shape encoding is purely pose-invariant, while…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Oren Katzir , Dani Lischinski , Daniel Cohen-Or

Advances in neural operators have introduced discretization invariant surrogate models for PDEs on general geometries, yet many approaches struggle to encode local geometric structure and variable domains efficiently. We introduce enf2enf,…

Machine Learning · Computer Science 2025-09-29 Giovanni Catalani , Michael Bauerheim , Frédéric Tost , Xavier Bertrand , Joseph Morlier

SinGAN shows impressive capability in learning internal patch distribution despite its limited effective receptive field. We are interested in knowing how such a translation-invariant convolutional generator could capture the global…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Rui Xu , Xintao Wang , Kai Chen , Bolei Zhou , Chen Change Loy

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

Generating learning-friendly representations for points in space is a fundamental and long-standing problem in ML. Recently, multi-scale encoding schemes (such as Space2Vec and NeRF) were proposed to directly encode any point in 2D/3D…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Gengchen Mai , Yao Xuan , Wenyun Zuo , Yutong He , Jiaming Song , Stefano Ermon , Krzysztof Janowicz , Ni Lao

Graph machine learning, particularly using graph neural networks, heavily relies on node features. However, many real-world systems, such as social and biological networks, lack node features due to privacy concerns, incomplete data, or…

Machine Learning · Computer Science 2025-06-10 Anwar Said , Waseem Abbas , Xenofon Koutsoukos

We propose a non-intrusive method to build surrogate models that approximate the solution of parameterized partial differential equations (PDEs), capable of taking into account the dependence of the solution on the shape of the…

Numerical Analysis · Mathematics 2024-09-20 Linying Zhang , Stefano Pagani , Jun Zhang , Francesco Regazzoni

Electroencephalography (EEG) is a widely used non-invasive technique for measuring brain activity in brain-computer interface (BCI) applications. Supervised EEG decoding models often struggle to generalize across tasks, subjects, and…

Artificial Intelligence · Computer Science 2026-05-29 Ayse Betul Yuce , Sebastian Stober

Neural network representation learning for spatial data is a common need for geographic artificial intelligence (GeoAI) problems. In recent years, many advancements have been made in representation learning for points, polylines, and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Gengchen Mai , Chiyu Jiang , Weiwei Sun , Rui Zhu , Yao Xuan , Ling Cai , Krzysztof Janowicz , Stefano Ermon , Ni Lao

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

We present HashEncoding, a novel autoencoding architecture that leverages a non-parametric multiscale coordinate hash function to facilitate a per-pixel decoder without convolutions. By leveraging the space-folding behaviour of hashing…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Lukas Zhornyak , Zhengjie Xu , Haoran Tang , Jianbo Shi

Learned image compression methods have shown impressive performance but are often highly specialized for either human perception or specific machine vision tasks. This specialization limits their versatility and requires costly retraining…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Jinming Liu , Yuntao Wei , Junyan Lin , Shengyang Zhao , Heming Sun , Zhibo Chen , Wenjun Zeng , Xin Jin

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

Attentional mechanisms are order-invariant. Positional encoding is a crucial component to allow attention-based deep model architectures such as Transformer to address sequences or images where the position of information matters. In this…

Machine Learning · Computer Science 2021-11-10 Yang Li , Si Si , Gang Li , Cho-Jui Hsieh , Samy Bengio

D shape generation is a fundamental operation in computer graphics. While significant progress has been made, especially with recent deep generative models, it remains a challenge to synthesize high-quality shapes with rich geometric…

Graphics · Computer Science 2022-05-31 Jie Yang , Kaichun Mo , Yu-Kun Lai , Leonidas J. Guibas , Lin Gao

We introduce an unsupervised feature learning approach that embeds 3D shape information into a single-view image representation. The main idea is a self-supervised training objective that, given only a single 2D image, requires all unseen…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Dinesh Jayaraman , Ruohan Gao , Kristen Grauman
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