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Time-frequency analysis for non-linear and non-stationary signals is extraordinarily challenging. To capture features in these signals, it is necessary for the analysis methods to be local, adaptive and stable. In recent years,…

Numerical Analysis · Mathematics 2015-10-26 Antonio Cicone , Jingfang Liu , Haomin Zhou

Neuroevolution has yet to scale up to complex reinforcement learning tasks that require large networks. Networks with many inputs (e.g. raw video) imply a very high dimensional search space if encoded directly. Indirect methods use a more…

Artificial Intelligence · Computer Science 2013-01-01 Jan Koutník , Juergen Schmidhuber , Faustino Gomez

Implicit Neural Representations (INRs) often converge slowly and struggle to recover high-frequency details due to spectral bias. While prior work links this behavior to the Neural Tangent Kernel (NTK), how specific architectural choices…

Machine Learning · Computer Science 2025-12-18 Chengguang Ou , Yixin Zhuang

Spectral bias, the tendency of neural networks to learn low-frequency features first, is a well-known issue with many training algorithms for physics-informed neural networks (PINNs). To overcome this issue, we propose IFeF-PINN, an…

Machine Learning · Computer Science 2025-10-23 Yulun Wu , Miguel Aguiar , Karl H. Johansson , Matthieu Barreau

Implicit neural representations (INRs) have arisen as useful methods for representing signals on Euclidean domains. By parameterizing an image as a multilayer perceptron (MLP) on Euclidean space, INRs effectively represent signals in a way…

Signal Processing · Electrical Eng. & Systems 2023-10-03 T. Mitchell Roddenberry , Vishwanath Saragadam , Maarten V. de Hoop , Richard G. Baraniuk

Addressing the issues of severe noise and high frequency structural degradation in visible images under low-light conditions, this paper proposes a Near Infrared (NIR) aided low light image restoration method based on Frequency Decoupled…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Ligen Shi , Zengyu Pang , Chang Liu , Shuchen Sun , Jun Qiu

Time-frequency representation (TFR) allowing for mode reconstruction plays a significant role in interpreting and analyzing the nonstationary signal constituted of various modes. However, it is difficult for most previous methods to handle…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Haijian Zhang , Guang Hua

Physics-informed neural networks (PINNs) are demonstrating remarkable promise in integrating physical models with gappy and noisy observational data, but they still struggle in cases where the target functions to be approximated exhibit…

Machine Learning · Computer Science 2021-06-16 Sifan Wang , Hanwen Wang , Paris Perdikaris

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

Image warping aims to reshape images defined on rectangular grids into arbitrary shapes. Recently, implicit neural functions have shown remarkable performances in representing images in a continuous manner. However, a standalone multi-layer…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Jaewon Lee , Kwang Pyo Choi , Kyong Hwan Jin

The time-domain technique for impedance spectroscopy consists of computing the excitation voltage and current response Fourier images by fast or discrete Fourier transformation and calculating their relation. Here we propose an alternative…

Data Analysis, Statistics and Probability · Physics 2017-12-14 Daniil D. Stupin , Sergei V. Koniakhin , Nikolay A. Verlov , Michael V. Dubina

We propose neural network layers that explicitly combine frequency and image feature representations and show that they can be used as a versatile building block for reconstruction from frequency space data. Our work is motivated by the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Nalini M. Singh , Juan Eugenio Iglesias , Elfar Adalsteinsson , Adrian V. Dalca , Polina Golland

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…

Image Representation learning via input reconstruction is a common technique in machine learning for generating representations that can be effectively utilized by arbitrary downstream tasks. A well-established approach is using…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Raoof HojatJalali , Edmondo Trentin

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

Implicit Neural Representations (INRs) provide a powerful continuous framework for modeling complex visual and geometric signals, but spectral bias remains a fundamental challenge, limiting their ability to capture high-frequency details.…

Machine Learning · Computer Science 2025-12-01 Yesom Park , Kelvin Kan , Thomas Flynn , Yi Huang , Shinjae Yoo , Stanley Osher , Xihaier Luo

Neural Implicit Representation (NIR) has recently gained significant attention due to its remarkable ability to encode complex and high-dimensional data into representation space and easily reconstruct it through a trainable mapping…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Haeyong Kang , Jaehong Yoon , DaHyun Kim , Sung Ju Hwang , Chang D Yoo

Accurate modeling of spatial acoustics is critical for immersive and intelligible audio in confined, resonant environments such as car cabins. Current tuning methods are manual, hardware-intensive, and static, failing to account for…

Sound · Computer Science 2025-10-10 Harshvardhan C. Takawale , Nirupam Roy , Phil Brown

Physics-Informed Neural Networks have become a powerful mesh-free method for solving partial differential equations, but their performance is often limited by spectral bias. Specifically, in standard MLPs used in PINNs, the global parameter…

Machine Learning · Computer Science 2026-05-04 Jianfeng Li , Feng Wang , Ke Tang

While random Fourier features are a classic tool in kernel methods, their utility as a pre-processing step for deep learning on tabular data has been largely overlooked. Motivated by shortcomings in tabular deep learning pipelines -…

Machine Learning · Computer Science 2025-06-04 Renat Sergazinov , Jing Wu , Shao-An Yin