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In this paper, we present augmentation inside the network, a method that simulates data augmentation techniques for computer vision problems on intermediate features of a convolutional neural network. We perform these transformations,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Maciej Sypetkowski , Jakub Jasiulewicz , Zbigniew Wojna

We study the volatility functional inference by Fourier transforms. This spectral framework is advantageous in that it harnesses the power of harmonic analysis to handle missing data and asynchronous observations without any artificial time…

Statistics Theory · Mathematics 2019-11-07 Richard Y. Chen

We learn audio representations by solving a novel self-supervised learning task, which consists of predicting the phase of the short-time Fourier transform from its magnitude. A convolutional encoder is used to map the magnitude spectrum of…

Audio and Speech Processing · Electrical Eng. & Systems 2019-10-29 Félix de Chaumont Quitry , Marco Tagliasacchi , Dominik Roblek

Deep networks, especially convolutional neural networks (CNNs), have been successfully applied in various areas of machine learning as well as to challenging problems in other scientific and engineering fields. This paper introduces…

Numerical Analysis · Mathematics 2020-05-04 Yingzhou Li , Xiuyuan Cheng , Jianfeng Lu

We propose a method of data quantization of finite discrete-time signals which optimizes the error estimate of low frequency Haar coefficients. We also discuss the error/noise bounds of this quantization in the Fourier space. Our result…

Signal Processing · Electrical Eng. & Systems 2021-01-12 Shu Nakamura

The spectral analysis of the operator Fourier truncated on the positive half-axis is done.

Spectral Theory · Mathematics 2012-08-21 Victor Katsnelson

The Convolutional Neural Network (CNN) is a state-of-the-art architecture for a wide range of deep learning problems, the quintessential example of which is computer vision. CNNs principally employ the convolution operation, which can be…

Image and Video Processing · Electrical Eng. & Systems 2021-03-17 Edward Cottle , Florent Michel , Joseph Wilson , Nick New , Iman Kundu

Probabilistic machine learning models are distinguished by their ability to integrate prior knowledge of noise statistics, smoothness parameters, and training data uncertainty. A common approach involves modeling data with Gaussian…

Computation · Statistics 2025-07-31 Cristian A. Galvis-Florez , Ahmad Farooq , Simo Särkkä

In recent decades, digital image processing has gained enormous popularity. Consequently, a number of data compression strategies have been put forth, with the goal of minimizing the amount of information required to represent images. Among…

Image and Video Processing · Electrical Eng. & Systems 2023-07-04 Suman Kunwar

This paper investigates the temporal evolution of high-speed compressible fluids in irregular flow fields using the Fourier Neural Operator (FNO). We reconstruct the irregular flow field point set into sequential format compatible with FNO…

Fluid Dynamics · Physics 2026-01-06 Yifan Nie , Qiaoxin Li

Many neural speech enhancement and source separation systems operate in the time-frequency domain. Such models often benefit from making their Short-Time Fourier Transform (STFT) front-ends trainable. In current literature, these are…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-24 Jonah Casebeer , Umut Isik , Shrikant Venkataramani , Arvindh Krishnaswamy

Ensemble modeling has been widely used to solve complex problems as it helps to improve overall performance and generalization. In this paper, we propose a novel TemporalAugmenter approach based on ensemble modeling for augmenting the…

Machine Learning · Computer Science 2024-01-17 Nelly Elsayed , Constantinos L. Zekios , Navid Asadizanjani , Zag ElSayed

Time-frequency packing (TFP) transmission provides the highest achievable spectral efficiency with a constrained symbol alphabet and detector complexity. In this work, the application of the TFP technique to fiber-optic systems is…

The composition of the Fourier transform in $\mathbb{R}^n$ with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. The paper deals with its spectral theory. This is based on…

Functional Analysis · Mathematics 2022-01-19 Hans Triebel

Transformer architectures have achieved remarkable success across language, vision, and multimodal tasks, and there is growing demand for them to address in-context compositional learning tasks. In these tasks, models solve the target…

Machine Learning · Computer Science 2025-11-26 Wei Chen , Jingxi Yu , Zichen Miao , Qiang Qiu

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

This work proposes kernel transform learning. The idea of dictionary learning is well known; it is a synthesis formulation where a basis is learnt along with the coefficients so as to generate or synthesize the data. Transform learning is…

Computer Vision and Pattern Recognition · Computer Science 2020-08-10 Jyoti Maggu , Angshul Majumdar

We study concentration operators associated with either the discrete or the continuous Fourier transform, that is, operators that incorporate a spatial cut-off and a subsequent frequency cut-off to the Fourier inversion formula. Their…

Functional Analysis · Mathematics 2024-03-11 Felipe Marceca , José Luis Romero , Michael Speckbacher

Value approximation using deep neural networks is at the heart of off-policy deep reinforcement learning, and is often the primary module that provides learning signals to the rest of the algorithm. While multi-layer perceptron networks are…

Machine Learning · Computer Science 2022-06-10 Ge Yang , Anurag Ajay , Pulkit Agrawal

There is a recent growing interest in applying Deep Learning techniques to tabular data, in order to replicate the success of other Artificial Intelligence areas in this structured domain. Specifically interesting is the case in which…

Machine Learning · Computer Science 2025-05-06 Simone Luetto , Fabrizio Garuti , Enver Sangineto , Lorenzo Forni , Rita Cucchiara
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