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Typical quantitative MRI (qMRI) methods estimate parameter maps in a two-step pipeline that first reconstructs images from undersampled k-space data and then performs model fitting, which is prone to biases and error propagation. We propose…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Xinrui Jiang , Yohan Jun , Jaejin Cho , Mengze Gao , Xingwang Yong , Berkin Bilgic

Quantum-enhanced (i.e., higher performance by quantum effects than any classical methods) mean value estimation of observables is a fundamental task in various quantum technologies; in particular, it is an essential subroutine in quantum…

Quantum Physics · Physics 2024-09-11 Kaito Wada , Kazuma Fukuchi , Naoki Yamamoto

A nonparametric procedure for robust regression estimation and for quantile regression is proposed which is completely data-driven and adapts locally to the regularity of the regression function. This is achieved by considering in each…

Statistics Theory · Mathematics 2009-04-06 Markus Reiss , Yves Rozenholc , Charles-Andre Cuenod

Image quality assessment(IQA) is of increasing importance for image-based applications. Its purpose is to establish a model that can replace humans for accurately evaluating image quality. According to whether the reference image is…

Image and Video Processing · Electrical Eng. & Systems 2022-01-12 Lanjiang Wang

To improve the viewer's Quality of Experience (QoE) and optimize computer graphics applications, 3D model quality assessment (3D-QA) has become an important task in the multimedia area. Point cloud and mesh are the two most widely used…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Zicheng Zhang , Wei Sun , Xiongkuo Min , Tao Wang , Wei Lu , Guangtao Zhai

Constructing valid prediction intervals rather than point estimates is a well-established approach for uncertainty quantification in the regression setting. Models equipped with this capacity output an interval of values in which the ground…

Machine Learning · Statistics 2025-02-07 Thomas Pouplin , Alan Jeffares , Nabeel Seedat , Mihaela van der Schaar

This work presents a novel framework for No-Reference Image Quality Assessment (NR-IQA) founded on the analysis of directional image curvature. Within this framework, we define a measure of Anisotropic Texture Richness (ATR), which is…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Diego Frias

In this paper, we study extended linear regression approaches for quantum state tomography based on regularization techniques. For unknown quantum states represented by density matrices, performing measurements under certain basis yields…

Quantum Physics · Physics 2019-04-29 Biqiang Mu , Hongsheng Qi , Ian R. Petersen , Guodong Shi

This paper investigates the problem of efficient constrained global optimization of hybrid models that are a composition of a known white-box function and an expensive multi-output black-box function subject to noisy observations, which…

Machine Learning · Statistics 2023-07-31 Congwen Lu , Joel A. Paulson

Quantum metrology is a general term for methods to precisely estimate the value of an unknown parameter by actively using quantum resources. In particular, some classes of entangled states can be used to significantly suppress the…

Quantum Physics · Physics 2015-05-01 Takanori Sugiyama

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

A wide variety of image denoising methods are available now. However, the performance of a denoising algorithm often depends on individual input noisy images as well as its parameter setting. In this paper, we present a no-reference image…

Image and Video Processing · Electrical Eng. & Systems 2018-10-16 Si Lu

In quantum computation, amplitude estimation is a fundamental subroutine that is utilized in various quantum algorithms. A general important task of such estimation problems is to characterize the estimation lower bound, which is referred…

Quantum Physics · Physics 2025-07-10 Kohei Oshio , Yohichi Suzuki , Kaito Wada , Keigo Hisanaga , Shumpei Uno , Naoki Yamamoto

In this paper, we study the problem of quantitative group testing (QGT) and analyze the performance of three models: the noiseless model, the additive Gaussian noise model, and the noisy Z-channel model. For each model, we analyze two…

Information Theory · Computer Science 2026-04-21 Tenghao Li , Neha Sangwan , Xiaxin Li , Arya Mazumdar

Random feature mapping (RFM) is a popular method for speeding up kernel methods at the cost of losing a little accuracy. We study kernel ridge regression with random feature mapping (RFM-KRR) and establish novel out-of-sample error upper…

Machine Learning · Statistics 2019-09-26 Shusen Wang

Reduced rank regression (RRR) is a fundamental tool for modeling multiple responses through low-dimensional latent structures, offering both interpretability and strong predictive performance in high-dimensional settings. Classical RRR…

Methodology · Statistics 2026-01-01 The Tien Mai

Real-world image restoration aims to restore high-quality (HQ) images from degraded low-quality (LQ) inputs captured under uncontrolled conditions. Existing methods typically depend on ground-truth (GT) supervision, assuming that GT…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Fengyang Xiao , Peng Hu , Lei Xu , XingE Guo , Guanyi Qin , Yuqi Shen , Chengyu Fang , Rihan Zhang , Chunming He , Sina Farsiu

We extend the traditional framework for estimating subspace bases that maximize the preserved signal energy to additionally preserve the Cram\'er-Rao bound (CRB) of the biophysical parameters and, ultimately, improve accuracy and precision…

Medical Physics · Physics 2025-10-28 Andrew Mao , Sebastian Flassbeck , Cem Gultekin , Jakob Assländer

Low-dose computed tomography (CT) represents a significant improvement in patient safety through lower radiation doses, but increased noise, blur, and contrast loss can diminish diagnostic quality. Therefore, consistency and robustness in…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Kagan Celik , Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

Recovering both amplitude and phase information from a system is a fundamental goal of optical imaging. At the same time, it is crucial to operate at low photon doses to avoid altering the sample, particularly in biological applications.…

Quantum Physics · Physics 2026-01-15 Alberto Paniate , Giuseppe Ortolano , Sarika Soman , Marco Genovese , Ivano Ruo-Berchera