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Fourier transform (FT) plays a crucial role in a broad range of applications, from enhancement, restoration and analysis through to security, compression and manipulation. The Fourier transform (FT) is a process that converts a function…

Numerical Analysis · Mathematics 2023-05-05 Benjamin Kenwright

Quantitative magnetic resonance imaging (qMRI) provides tissue-specific parameters vital for clinical diagnosis. Although simultaneous multi-parametric qMRI (MP-qMRI) technologies enhance imaging efficiency, robustly reconstructing qMRI…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Haonan Zhang , Guoyan Lao , Yuyao Zhang , Hongjiang Wei

Quantum Fourier transform (QFT) is a key function to realize quantum computers. A QFT followed by measurement was demonstrated on a simple circuit based on fiber-optics. The QFT was shown to be robust against imperfections in the rotation…

Quantum Physics · Physics 2007-05-23 Akihisa Tomita , Kazuo Nakamura

We propose a multi-layer variational autoencoder method, we call HR-VQVAE, that learns hierarchical discrete representations of the data. By utilizing a novel objective function, each layer in HR-VQVAE learns a discrete representation of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Mohammad Adiban , Kalin Stefanov , Sabato Marco Siniscalchi , Giampiero Salvi

Deploying transformer-based neural networks on resource-constrained edge devices presents a significant challenge. This challenge is often addressed through various techniques, such as low-rank approximation and mixed-precision…

Machine Learning · Computer Science 2025-07-15 Ofir Gordon , Ariel Lapid , Elad Cohen , Yarden Yagil , Arnon Netzer , Hai Victor Habi

The study of representations is widespread across fields, including neuroscience, psychology, and artificial intelligence. While representations are often studied and compared through similarities between stimuli, current methods provide…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Florian P. Mahner , Ka Chun Lam , Francisco Pereira , Martin N. Hebart

Federated reinforcement learning enables decentralized agents to collaboratively improve policies or value estimates without exchanging raw trajectories. However, FedAvg-style parameter averaging is not function-space consistent: when…

Machine Learning · Computer Science 2026-05-29 Yuchen Hou , Yongshan Chen , Zhuowen Zou , Calvin Yeung , Mohsen Imani , Tian Lan , Mahdi Imani

Despite the limited availability and quantum volume of quantum computers, quantum image representation is a widely researched area. Currently developed methods use quantum entanglement to encode information about pixel positions. These…

Quantum Physics · Physics 2023-11-09 Krzysztof Werner , Kamil Wereszczyński , Rafał Potempa , Krzysztof Cyran

With the race to build large-scale quantum computers and efforts to exploit quantum algorithms for efficient problem solving in science and engineering disciplines, the requirement to have efficient and scalable verification methods are of…

Quantum Physics · Physics 2023-03-14 Arun Govindankutty , Sudarshan K. Srinivasan , Nimish Mathure

Most existing results in the analysis of quantum reservoir computing (QRC) systems with classical inputs have been obtained using the density matrix formalism. This paper shows that alternative representations can provide better insights…

Quantum Physics · Physics 2025-05-28 Rodrigo Martínez-Peña , Juan-Pablo Ortega

Efficient numerical characterization is a key problem in composite material analysis. To follow accuracy improvement in image tomography, memory efficient methods of numerical characterization have been developed. Among them, an FFT based…

Numerical Analysis · Mathematics 2022-07-27 Felix Givois , Matthias Kabel , Nicolas Gauger

This paper presents a novel federated learning solution, QHetFed, suitable for large-scale Internet of Things deployments, addressing the challenges of large geographic span, communication resource limitation, and data heterogeneity.…

Machine Learning · Computer Science 2025-04-08 Seyed Mohammad Azimi-Abarghouyi , Viktoria Fodor

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

Diffusion models have shown superior performance in real-world video super-resolution (VSR). However, the slow processing speeds and heavy resource consumption of diffusion models hinder their practical application and deployment.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Bowen Chai , Zheng Chen , Libo Zhu , Wenbo Li , Yong Guo , Yulun Zhang

Fourier ptychography has attracted a wide range of focus for its ability of large space-bandwidth-produce, and quantative phase measurement. It is a typical computational imaging technique which refers to optimizing both the imaging…

Image and Video Processing · Electrical Eng. & Systems 2022-03-08 Guocheng Zhou , Shaohui Zhang , Yao Hu , Lei Cao , Yong Huang , Qun Hao

Recent advances in implicit neural representations (INRs) have shown significant promise in modeling visual signals for various low-vision tasks including image super-resolution (ISR). INR-based ISR methods typically learn continuous…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Yuxuan Jiang , Ho Man Kwan , Tianhao Peng , Ge Gao , Fan Zhang , Xiaoqing Zhu , Joel Sole , David Bull

The LoRA-finetuning quantization of LLMs has been extensively studied to obtain accurate yet compact LLMs for deployment on resource-constrained hardware. However, existing methods cause the quantized LLM to severely degrade and even fail…

Machine Learning · Computer Science 2024-05-28 Haotong Qin , Xudong Ma , Xingyu Zheng , Xiaoyang Li , Yang Zhang , Shouda Liu , Jie Luo , Xianglong Liu , Michele Magno

Fully Homomorphic Encryption (FHE) enables computations directly on encrypted data, but its high computational cost remains a significant barrier. Writing efficient FHE code is a complex task requiring cryptographic expertise, and finding…

Cryptography and Security · Computer Science 2026-01-28 Bilel Sefsaf , Abderraouf Dandani , Abdessamed Seddiki , Arab Mohammed , Eduardo Chielle , Michail Maniatakos , Riyadh Baghdadi

Implicit Neural Representations (INRs) have emerged as a powerful paradigm for various signal processing tasks, but their inherent spectral bias limits the ability to capture high-frequency details. Existing methods partially mitigate this…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Junbo Ke , Yangyang Xu , You-Wei Wen , Chao Wang

In this paper, we study the success rate of the reconstruction of objects of finite extent given the magnitude of its Fourier transform and its geometrical shape. We demonstrate that the commonly used combination of the hybrid input output…

Computational Physics · Physics 2012-07-23 Martin Köhl , A. A. Minkevich , Tilo Baumbach