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Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

Discrete Fourier transforms provide a significant speedup in the computation of convolutions in deep learning. In this work, we demonstrate that, beyond its advantages for efficient computation, the spectral domain also provides a powerful…

Machine Learning · Statistics 2015-06-12 Oren Rippel , Jasper Snoek , Ryan P. Adams

Over the past few years, there has been significant interest in Quantum Machine Learning (QML) among researchers, as it has the potential to transform the field of machine learning. Several models that exploit the properties of quantum…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Farina Riaz , Shahab Abdulla , Hajime Suzuki , Srinjoy Ganguly , Ravinesh C. Deo , Susan Hopkins

Conventional 3D convolutional neural networks (CNNs) are computationally expensive, memory intensive, prone to overfitting, and most importantly, there is a need to improve their feature learning capabilities. To address these issues, we…

Computer Vision and Pattern Recognition · Computer Science 2021-05-05 Sudhakar Kumawat , Manisha Verma , Yuta Nakashima , Shanmuganathan Raman

Existing approaches to Implicit Neural Representation (INR) can be interpreted as a global scene representation via a linear combination of Fourier bases of different frequencies. However, such universal basis functions can limit the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Jason Chun Lok Li , Chang Liu , Binxiao Huang , Ngai Wong

Achieving photorealistic rendering of real-world scenes poses a significant challenge with diverse applications, including mixed reality and virtual reality. Neural networks, extensively explored in solving differential equations, have…

Computer Vision and Pattern Recognition · Computer Science 2023-11-09 YuanFu Yang , Min Sun

This paper introduces CoFie, a novel local geometry-aware neural surface representation. CoFie is motivated by the theoretical analysis of local SDFs with quadratic approximation. We find that local shapes are highly compressive in an…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Hanwen Jiang , Haitao Yang , Georgios Pavlakos , Qixing Huang

Neural material representations are becoming a popular way to represent materials for rendering. They are more expressive than analytic models and occupy less memory than tabulated BTFs. However, existing neural materials are immutable,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Carlos Rodriguez-Pardo , Konstantinos Kazatzis , Jorge Lopez-Moreno , Elena Garces

Kernel learning methods are among the most effective learning methods and have been vigorously studied in the past decades. However, when tackling with complicated tasks, classical kernel methods are not flexible or "rich" enough to…

Machine Learning · Computer Science 2019-10-08 Jiaxuan Xie , Fanghui Liu , Kaijie Wang , Xiaolin Huang

Neural networks allow Q-learning reinforcement learning agents such as deep Q-networks (DQN) to approximate complex mappings from state spaces to value functions. However, this also brings drawbacks when compared to other function…

Machine Learning · Computer Science 2018-06-21 Jack Shannon , Marek Grzes

Classical deep neural networks can learn rich multi-particle correlations in collider data, but their inductive biases are rarely anchored in physics structure. We propose quantum-informed neural networks (QINNs), a general framework that…

High Energy Physics - Phenomenology · Physics 2025-10-22 Aritra Bal , Markus Klute , Benedikt Maier , Melik Oughton , Eric Pezone , Michael Spannowsky

The ability of neural radiance fields or NeRFs to conduct accurate 3D modelling has motivated application of the technique to scene representation. Previous approaches have mainly followed a centralised learning paradigm, which assumes that…

Computer Vision and Pattern Recognition · Computer Science 2023-05-03 Lachlan Holden , Feras Dayoub , David Harvey , Tat-Jun Chin

Fourier embedding has shown great promise in removing spectral bias during neural network training. However, it can still suffer from high generalization errors, especially when the labels or measurements are noisy. We demonstrate that…

Machine Learning · Computer Science 2024-09-04 Halyun Jeong , Jihun Han

In the context of kernel machines, polynomial and Fourier features are commonly used to provide a nonlinear extension to linear models by mapping the data to a higher-dimensional space. Unless one considers the dual formulation of the…

Machine Learning · Computer Science 2024-03-13 Frederiek Wesel , Kim Batselier

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

It is a long-standing problem to find effective representations for training reinforcement learning (RL) agents. This paper demonstrates that learning state representations with supervision from Neural Radiance Fields (NeRFs) can improve…

Machine Learning · Computer Science 2022-06-06 Danny Driess , Ingmar Schubert , Pete Florence , Yunzhu Li , Marc Toussaint

The neural network and quantum computing are both significant and appealing fields, with their interactive disciplines promising for large-scale computing tasks that are untackled by conventional computers. However, both developments are…

Quantum Physics · Physics 2021-06-22 Feihong Shen , Jun Liu

Recent advances in Neural radiance fields (NeRF) have enabled high-fidelity scene reconstruction for novel view synthesis. However, NeRF requires hundreds of network evaluations per pixel to approximate a volume rendering integral, making…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Yifan Wang , Yi Gong , Yuan Zeng

We propose a new class of linear Transformers called FourierLearner-Transformers (FLTs), which incorporate a wide range of relative positional encoding mechanisms (RPEs). These include regular RPE techniques applied for sequential data, as…

Neural signed distance functions (SDFs) have been a vital representation to represent 3D shapes or scenes with neural networks. An SDF is an implicit function that can query signed distances at specific coordinates for recovering a 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Qiang Bai , Bojian Wu , Xi Yang , Zhizhong Han