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Geographic data is fundamentally local. Disease outbreaks cluster in population centers, ecological patterns emerge along coastlines, and economic activity concentrates within country borders. Machine learning models that encode geographic…

Machine Learning · Computer Science 2026-02-03 Arjun Rao , Ruth Crasto , Tessa Ooms , David Rolnick , Konstantin Klemmer , Marc Rußwurm

A common need for artificial intelligence models in the broader geoscience is to represent and encode various types of spatial data, such as points (e.g., points of interest), polylines (e.g., trajectories), polygons (e.g., administrative…

Machine Learning · Computer Science 2022-03-14 Gengchen Mai , Krzysztof Janowicz , Yingjie Hu , Song Gao , Bo Yan , Rui Zhu , Ling Cai , Ni Lao

It is well noted that coordinate based MLPs benefit -- in terms of preserving high-frequency information -- through the encoding of coordinate positions as an array of Fourier features. Hitherto, the rationale for the effectiveness of these…

Machine Learning · Computer Science 2021-10-13 Jianqiao Zheng , Sameera Ramasinghe , Simon Lucey

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

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

Learning and recognition is a fundamental process performed in many robot operations such as mapping and localization. The majority of approaches share some common characteristics, such as attempting to extract salient features, landmarks…

Robotics · Computer Science 2017-07-21 Adam Jacobson , Walter Scheirer , Michael Milford

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

Position encoding is the primary mechanism which induces notion of sequential order for input tokens in transformer architectures. Even though this formulation in the original transformer paper has yielded plausible performance for general…

Computation and Language · Computer Science 2023-10-10 Eren Unlu

This study introduces a novel approach to terrain feature classification by incorporating spatial point pattern statistics into deep learning models. Inspired by the concept of location encoding, which aims to capture location…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Sizhe Wang , Wenwen Li

Worldwide visual geo-localization aims to determine the geographic location of an image anywhere on Earth using only its visual content. Despite recent progress, learning expressive representations of geographic space remains challenging…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Angel Daruna , Nicholas Meegan , Han-Pang Chiu , Supun Samarasekera , Rakesh Kumar

Deep learning has shown strong performance in geospatial prediction tasks, but the role of geolocation information in improving accuracy and generalizability remains underexamined. Recent work has introduced location encoders that aim to…

Machine Learning · Computer Science 2025-10-28 Morteza Karimzadeh , Zhongying Wang , James L. Crooks

It is well noted that coordinate-based MLPs benefit -- in terms of preserving high-frequency information -- through the encoding of coordinate positions as an array of Fourier features. Hitherto, the rationale for the effectiveness of these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Jianqiao Zheng , Sameera Ramasinghe , Xueqian Li , Simon Lucey

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

In this work, we propose a new spatio-directional neural encoding that is compact and efficient, and supports all-frequency signals in both space and direction. Current learnable encodings focus on Cartesian orthonormal spaces, which have…

Graphics · Computer Science 2026-03-06 Philippe Weier , Lukas Bode , Philipp Slusallek , Adrián Jarabo , Sébastien Speierer

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

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

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

Representing and processing data in spherical domains presents unique challenges, primarily due to the curvature of the domain, which complicates the application of classical Euclidean techniques. Implicit neural representations (INRs) have…

Machine Learning · Computer Science 2026-03-24 Théo Hanon , Nicolas Mil-Homens Cavaco , John Kiely , Laurent Jacques

Positional encoding has become the de facto standard for grounding deep neural networks on discrete point-wise positions, and it has achieved remarkable success in tasks where the input can be represented as a one-dimensional sequence.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Yuhang He

Implicit neural representations (INRs) are increasingly being used as tools to map coordinates to signals, encompassing applications from neural fields to texture compression, shape representations, and beyond. Most INR methods are based on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Guillaume Perez , Janarbek Matai , Takahiro Harada
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