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Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

Machine Learning · Statistics 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

Spectral bias is an important observation of neural network training, stating that the network will learn a low frequency representation of the target function before converging to higher frequency components. This property is interesting…

Machine Learning · Computer Science 2023-05-05 John Lazzari , Xiuwen Liu

Implicit neural representations (INR) suffer from worsening spectral bias, which results in overly smooth solutions to the inverse problem. To deal with this problem, we propose a universal framework for processing inverse problems called…

Machine Learning · Computer Science 2024-04-24 Yang Chen , Ruituo Wu , Yipeng Liu , Ce Zhu

Many deep Convolutional Neural Networks (CNN) make incorrect predictions on adversarial samples obtained by imperceptible perturbations of clean samples. We hypothesize that this is caused by a failure to suppress unusual signals within…

Computer Vision and Pattern Recognition · Computer Science 2016-03-18 Qiyang Zhao , Lewis D Griffin

Activation function is a pivotal component of deep learning, facilitating the extraction of intricate data patterns. While classical activation functions like ReLU and its variants are extensively utilized, their static nature and…

Machine Learning · Computer Science 2025-11-04 Barathi Subramanian , Rathinaraja Jeyaraj , Rakhmonov Akhrorjon Akhmadjon Ugli

Physics-Informed Neural Networks (PINNs) have emerged as a promising approach for solving Partial Differential Equations (PDEs). However, they face challenges related to spectral bias (the tendency to learn low-frequency components while…

Neural and Evolutionary Computing · Computer Science 2025-06-16 Afrah Farea , Mustafa Serdar Celebi

Recurrent neural networks (RNNs) are powerful and effective for processing sequential data. However, RNNs are usually considered "black box" models whose internal structure and learned parameters are not interpretable. In this paper, we…

Machine Learning · Statistics 2016-11-23 Scott Wisdom , Thomas Powers , James Pitton , Les Atlas

We propose INFAMOUS-NeRF, an implicit morphable face model that introduces hypernetworks to NeRF to improve the representation power in the presence of many training subjects. At the same time, INFAMOUS-NeRF resolves the classic…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Andrew Hou , Feng Liu , Zhiyuan Ren , Michel Sarkis , Ning Bi , Yiying Tong , Xiaoming Liu

An activation function is a crucial component of a neural network that introduces non-linearity in the network. The state-of-the-art performance of a neural network depends also on the perfect choice of an activation function. We propose…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

This study introduces a novel activation function, characterized by a dynamic slope that adjusts throughout the training process, aimed at enhancing adaptability and performance in deep neural networks for computer vision tasks. The…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Archisman Chakraborti , Bidyut B Chaudhuri

To enhance the nonlinearity of neural networks and increase their mapping abilities between the inputs and response variables, activation functions play a crucial role to model more complex relationships and patterns in the data. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Haigen Hu , Aizhu Liu , Qiu Guan , Xiaoxin Li , Shengyong Chen , Qianwei Zhou

Implicit Neural Representations (INRs) have emerged as a promising paradigm for video compression. However, existing INR-based frameworks typically suffer from inherent spectral bias, which favors low-frequency components and leads to…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Jun Zhu , Xinfeng Zhang , Lv Tang , Junhao Jiang , Gai Zhang , Jia Wang

Representing surfaces as zero level sets of neural networks recently emerged as a powerful modeling paradigm, named Implicit Neural Representations (INRs), serving numerous downstream applications in geometric deep learning and 3D vision.…

Machine Learning · Computer Science 2021-06-16 Yaron Lipman

We address the problem of reconstructing sparse signals from noisy and compressive measurements using a feed-forward deep neural network (DNN) with an architecture motivated by the iterative shrinkage-thresholding algorithm (ISTA). We…

Machine Learning · Computer Science 2017-05-23 Debabrata Mahapatra , Subhadip Mukherjee , Chandra Sekhar Seelamantula

Implicit neural representation (INR) has proven to be accurate and efficient in various domains. In this work, we explore how different neural networks can be designed as a new texture INR, which operates in a continuous manner rather than…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Albert Kwok , Zheyuan Hu , Dounia Hammou

Encoding input coordinates with sinusoidal functions into multilayer perceptrons (MLPs) has proven effective for implicit neural representations (INRs) of low-dimensional signals, enabling the modeling of high-frequency details. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Diana Aldana , João Paulo Lima , Daniel Csillag , Daniel Perazzo , Haoan Feng , Luiz Velho , Tiago Novello

Implicit Neural Representations (INRs) are increasingly recognized as a versatile data modality for representing discretized signals, offering benefits such as infinite query resolution and reduced storage requirements. Existing signal…

Machine Learning · Computer Science 2025-03-26 Dhananjaya Jayasundara , Sudarshan Rajagopalan , Yasiru Ranasinghe , Trac D. Tran , Vishal M. Patel

Spatial Transcriptomics (ST) is a method that captures gene expression profiles aligned with spatial coordinates. The discrete spatial distribution and the super-high dimensional sequencing results make ST data challenging to be modeled…

Machine Learning · Computer Science 2025-05-08 Qingtian Zhu , Yumin Zheng , Yuling Sang , Yifan Zhan , Ziyan Zhu , Jun Ding , Yinqiang Zheng

Implicit Neural Representations (INRs) based on vanilla Multi-Layer Perceptrons (MLPs) are widely believed to be incapable of representing high-frequency content. This has directed research efforts towards architectural interventions, such…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Julian McGinnis , Florian A. Hölzl , Suprosanna Shit , Florentin Bieder , Paul Friedrich , Mark Mühlau , Björn Menze , Daniel Rueckert , Benedikt Wiestler

We propose reproducing activation functions (RAFs) to improve deep learning accuracy for various applications ranging from computer vision to scientific computing. The idea is to employ several basic functions and their learnable linear…

Machine Learning · Computer Science 2021-02-23 Senwei Liang , Liyao Lyu , Chunmei Wang , Haizhao Yang