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Related papers: PEPS: Positional Encoding Projected Sampling -- Ex…

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Echo Planar Imaging (EPI) is widely used for its rapid acquisition but suffers from severe geometric distortions due to B0 inhomogeneities, particularly along the phase encoding direction. Existing methods follow a two-step process:…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Wenqi Huang , Nan Wang , Congyu Liao , Yimeng Lin , Mengze Gao , Daniel Rueckert , Kawin Setsompop

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Implicit neural representations (INRs, also known as neural fields) have recently emerged as a powerful framework for knowledge representation, synthesis, and compression. By encoding fields as continuous functions within the weights and…

Machine Learning · Computer Science 2025-10-27 Jubilee Lee , Daniele E. Schiavazzi

Implicit Neural Representations (INR) use multilayer perceptrons to represent high-frequency functions in low-dimensional problem domains. Recently these representations achieved state-of-the-art results on tasks related to complex 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-09-02 Nuri Benbarka , Timon Höfer , Hamd ul-moqeet Riaz , Andreas Zell

Positional Encodings (PEs) are used to inject word-order information into transformer-based language models. While they can significantly enhance the quality of sentence representations, their specific contribution to language models is not…

Computation and Language · Computer Science 2023-10-20 Lihu Chen , Gaël Varoquaux , Fabian M. Suchanek

Transformer architectures rely on position encodings to model the spatial structure of input data. Rotary Position Encoding (RoPE) is a widely used method in language models that encodes relative positions through fixed, block-diagonal,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Sophie Ostmeier , Brian Axelrod , Maya Varma , Michael E. Moseley , Akshay Chaudhari , Curtis Langlotz

There is currently a paradigm shift in several power system monitoring applications, such as incipient fault detection and monitoring inverter-based resources, to transition from traditional phasor analytics to more informative waveform…

Signal Processing · Electrical Eng. & Systems 2025-05-26 Narges Ehsani , Vishwanath Saragadam , Hamed Mohsenian-Rad

In recent years, huge progress has been made on learning neural implicit representations from multi-view images for 3D reconstruction. As an additional input complementing coordinates, using sinusoidal functions as positional encodings…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Sijia Jiang , Jing Hua , Zhizhong Han

Implicit neural representations (INRs) encode signals in neural network weights as a memory-efficient representation, decoupling sampling resolution from the associated resource costs. Current INR image classification methods are…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Joost Luijmes , Alexander Gielisse , Roman Knyazhitskiy , Jan van Gemert

Understanding spatial location and relationships is a fundamental capability for modern artificial intelligence systems. Insights from human spatial cognition provide valuable guidance in this domain. Neuroscientific discoveries have…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Boyang Li , Yulin Wu , Nuoxian Huang , Wenjia Zhang

We present a new approach to 3D object representation where a neural network encodes the geometry of an object directly into the weights and biases of a second 'mapping' network. This mapping network can be used to reconstruct an object by…

Machine Learning · Computer Science 2020-04-07 Eric Mitchell , Selim Engin , Volkan Isler , Daniel D Lee

Implicit Neural Representations (INRs) have gained success in various signal processing tasks due to their advantages of continuity and infinite resolution. However, the factors influencing their effectiveness and limitations remain…

Machine Learning · Computer Science 2025-10-14 Linfei Li , Fengyi Zhang , Zhong Wang , Lin Zhang , Ying Shen

The local inductive bias of message-passing graph neural networks (GNNs) hampers their ability to exploit key structural information (e.g., connectivity and cycles). Positional encoding (PE) and Persistent Homology (PH) have emerged as two…

Machine Learning · Computer Science 2025-06-09 Yogesh Verma , Amauri H. Souza , Vikas Garg

The approximation and convergence properties of implicit neural representations (INRs) are known to be highly sensitive to parameter initialization strategies. While several data-driven initialization methods demonstrate significant…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Kushal Vyas , Alper Kayabasi , Daniel Kim , Vishwanath Saragadam , Ashok Veeraraghavan , Guha Balakrishnan

Several variants of Neural Radiance Fields (NeRFs) have significantly improved the accuracy of synthesized images and surface reconstruction of 3D scenes/objects. In all of these methods, a key characteristic is that none can train the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Gonçalo Dias Pais , Valter Piedade , Moitreya Chatterjee , Marcus Greiff , Pedro Miraldo

Neural implicit representations have shown substantial improvements in efficiently storing 3D data, when compared to conventional formats. However, the focus of existing work has mainly been on storage and subsequent reconstruction. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Theo W. Costain , Victor Adrian Prisacariu

We describe MPSE: a Multi-Perspective Simultaneous Embedding method for visualizing high-dimensional data, based on multiple pairwise distances between the data points. Specifically, MPSE computes positions for the points in 3D and provides…

Data Structures and Algorithms · Computer Science 2020-08-07 Md Iqbal Hossain , Vahan Huroyan , Stephen Kobourov , Raymundo Navarrete

Accurate surface geometry representation is crucial in 3D visual computing. Explicit representations, such as polygonal meshes, and implicit representations, like signed distance functions, each have distinct advantages, making efficient…

Graphics · Computer Science 2025-09-26 Christian Stippel , Felix Mujkanovic , Thomas Leimkühler , Pedro Hermosilla

Implicit neural representation (INR) has become the standard approach for arbitrary-scale image super-resolution (ASSR). To date, no empirical study has systematically examined the effectiveness of existing methods, nor investigated the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Tayyab Nasir , Daochang Liu , Ajmal Mian

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph…

Social and Information Networks · Computer Science 2018-04-11 William L. Hamilton , Rex Ying , Jure Leskovec