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We discuss the error reconciliation phase in quantum key distribution (QKD) and analyse a simple scheme in which blocks with bad parity (that is, blocks containing an odd number of errors) are discarded. We predict the performance of this…

Data Structures and Algorithms · Computer Science 2010-05-10 Richard P. Brent

Functional soft materials, comprising colloidal and molecular building blocks that self-organize into complex structures as a result of their tunable interactions, enable a wide array of technological applications. Inverse methods provide…

Soft Condensed Matter · Physics 2020-04-13 Zachary M. Sherman , Michael P. Howard , Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

In this work, we explore a numerical approach for performing the inverse Laplace transformation, with an emphasis on achieving stability and robustness under noisy conditions. Our quadrature-based method integrates reparameterization, data…

High Energy Physics - Lattice · Physics 2026-03-03 Marco Aliberti , Francesco Di Renzo , Petros Dimopoulos , Demetrianos Gavriel

Small compression noises, despite being transparent to human eyes, can adversely affect the results of many image restoration processes, if left unaccounted for. Especially, compression noises are highly detrimental to inverse operators of…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Xiao Shu , Xiaolin Wu

We present a convex-concave reformulation of the reversible Markov chain estimation problem and outline an efficient numerical scheme for the solution of the resulting problem based on a primal-dual interior point method for monotone…

Data Analysis, Statistics and Probability · Physics 2016-03-08 Benjamin Trendelkamp-Schroer , Hao Wu , Frank Noe

In order to exploit quantum advantages, quantum algorithms are indispensable for operating machine learning with quantum computers. We here propose an intriguing hybrid approach of quantum information processing for quantum linear…

Quantum Physics · Physics 2019-01-23 Dan-Bo Zhang , Zheng-Yuan Xue , Shi-Liang Zhu , Z. D. Wang

Quantitative susceptibility mapping (QSM) utilizes MRI signal phase to estimate local tissue susceptibility, which has been shown useful to provide novel image contrast and as biomarkers of abnormal tissue. QSM requires addressing a…

Medical Physics · Physics 2019-06-03 Juan Liu , Kevin M. Koch

The inverse scattering problems have been popular for the past thirty years. While very successful in many cases, progress has lagged when only {\em limited-aperture} measurement is available. In this paper, we perform some elementary study…

Numerical Analysis · Mathematics 2018-01-09 Xiaodong Liu , Jiguang Sun

Recent advances in image super-resolution (SR) explored the power of deep learning to achieve a better reconstruction performance. However, the feedback mechanism, which commonly exists in human visual system, has not been fully exploited…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Zhen Li , Jinglei Yang , Zheng Liu , Xiaomin Yang , Gwanggil Jeon , Wei Wu

In this letter, we address sparse signal recovery using spike and slab priors. In particular, we focus on a Bayesian framework where sparsity is enforced on reconstruction coefficients via probabilistic priors. The optimization resulting…

Machine Learning · Statistics 2015-05-28 Hojjat S. Mousavi , Vishal Monga , Trac D. Tran

We consider the problem of the recovery of a k-sparse vector from compressed linear measurements when data are corrupted by a quantization noise. When the number of measurements is not sufficiently large, different $k$-sparse solutions may…

Optimization and Control · Mathematics 2019-09-10 Vito Cerone , Sophie M. Fosson , Diego Regruto

As the context length of current large language models (LLMs) rapidly increases, the memory demand for the Key-Value (KV) cache is becoming a bottleneck for LLM deployment and batch processing. Traditional KV cache compression methods…

Computation and Language · Computer Science 2025-12-23 Aomufei Yuan , Zhiming Wang , Ruijie Miao , Dayu Wang , Yuxuan Tian , Zihan Wang , Yebo Peng , Yuhan Wu , Bairen Yi , Xin Liu , Tong Yang

Quantitative susceptibility mapping (QSM) is an MRI phase-based post-processing method that quantifies tissue magnetic susceptibility distributions. However, QSM acquisitions are relatively slow, even with parallel imaging. Incoherent…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Yang Gao , Martijn Cloos , Feng Liu , Stuart Crozier , G. Bruce Pike , Hongfu Sun

The resurgence of deep neural networks has created an alternative pathway for low-dose computed tomography denoising by learning a nonlinear transformation function between low-dose CT (LDCT) and normal-dose CT (NDCT) image pairs. However,…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Sutanu Bera , Prabir Kumar Biswas

21-cm Intensity Mapping (IM) is a promising approach to detecting information about the large-scale structure beyond the local universe. One of the biggest challenges for an IM observation is the foreground removal procedure. In this paper,…

Signal Processing · Electrical Eng. & Systems 2025-06-10 Lin-Cheng Li , Jia-Yu Lin , Yuan-Gen Wang , Lister Staveley-Smith

It is well-known that the quadratic convex reformulation (QCR) technique can speed up some general-purpose solvers such as CPLEX and Gurobi. Recently, the method of quadratic nonconvex reformulation (QNR) was proposed, which provides an…

Optimization and Control · Mathematics 2026-02-24 Cheng Lu , Yu Fei , Jing Zhou , Zhibin Deng , Guangtai Qu

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

When solving linear systems $Ax=b$, $A$ and $b$ are given, but the measurements $b$ often contain corruptions. Inspired by recent work on the quantile-randomized Kaczmarz method, we propose an acceleration of the randomized Kaczmarz method…

Numerical Analysis · Mathematics 2024-10-18 Emeric Battaglia , Anna Ma

Deep Neural Network (DNN)-based image reconstruction, despite many successes, often exhibits uneven fidelity between high and low spatial frequency bands. In this paper we propose the Learning Synthesis by DNN (LS-DNN) approach where two…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Mo Deng , Shuai Li , George Barbastathis

Recently, data-driven techniques have demonstrated remarkable effectiveness in addressing challenges related to MR imaging inverse problems. However, these methods still exhibit certain limitations in terms of interpretability and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Huayu Wang , Chen Luo , Taofeng Xie , Qiyu Jin , Guoqing Chen , Zhuo-Xu Cui , Dong Liang
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