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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…

统计理论 · 数学 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…

机器学习 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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,…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

高能物理 - 唯象学 · 物理学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 2025-11-19 Qiang Bai , Bojian Wu , Xi Yang , Zhizhong Han