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The reconciliation step of continuous-variable quantum key distribution protocols usually involves forward error correction codes. Matching the code rate and the signal-to-noise ratio (SNR) of the quantum channel is required to achieve the…

Quantum Physics · Physics 2019-05-14 Sören Kreinberg , Igor Koltchanov , André Richter

This paper investigates the design of low-complexity error correction codes for the verification step in continuous variable quantum key distribution (CVQKD) systems. We design new coding schemes based on quasi-cyclic repeat-accumulate…

Information Theory · Computer Science 2015-10-14 Sarah J. Johnson , Vikram A. Chandrasetty , Andrew M. Lance

Improving the image resolution and acquisition speed of magnetic resonance imaging (MRI) is a challenging problem. There are mainly two strategies dealing with the speed-resolution trade-off: (1) $k$-space undersampling with high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Wenqi Huang , Sen Jia , Ziwen Ke , Zhuo-Xu Cui , Jing Cheng , Yanjie Zhu , Dong Liang

Retinal image matching plays a crucial role in monitoring disease progression and treatment response. However, datasets with matched keypoints between temporally separated pairs of images are not available in abundance to train…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Sahar Almahfouz Nasser , Nihar Gupte , Amit Sethi

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

This paper is concerned with the inverse problem of reconstructing a small object from far field measurements. The inverse problem is severally ill-posed because of the diffraction limit and low signal to noise ratio. We propose a novel…

Analysis of PDEs · Mathematics 2017-04-18 Habib Ammari , Matias Ruiz , Sanghyeon Yu , Hai Zhang

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

Numerical Analysis · Mathematics 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

We present a sparse representation of model uncertainty for Deep Neural Networks (DNNs) where the parameter posterior is approximated with an inverse formulation of the Multivariate Normal Distribution (MND), also known as the information…

Machine Learning · Computer Science 2020-06-23 Jongseok Lee , Matthias Humt , Jianxiang Feng , Rudolph Triebel

Continuous-Variable Quantum Key Distribution (CVQKD) at large distances has such high noise levels that the error-correcting code must have very low rate. In this regime it becomes feasible to implement random-codebook error correction,…

Quantum Physics · Physics 2025-11-25 Arpan Akash Ray , Boris Skoric

The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS…

Machine Learning · Statistics 2017-01-17 Ali Mousavi , Richard G. Baraniuk

Boolean quadratic optimization problems occur in a number of applications. Their mixed integer-continuous nature is challenging, since it is inherently NP-hard. For this motivation, semidefinite programming relaxations (SDR's) are proposed…

Optimization and Control · Mathematics 2020-03-20 V. Cerone , S. M. Fosson , D. Regruto

The image reconstruction process in medical imaging can be treated as solving an inverse problem. The inverse problem is usually solved using time-consuming iterative algorithms with sparsity or other constraints. Recently, deep neural…

Medical Physics · Physics 2021-10-29 Jingke Zhang , Qiong He , Congzhi Wang , Hongen Liao , Jianwen Luo

In optical fiber communication, optical and electrical components introduce nonlinearities, which require effective compensation to attain highest data rates. In particular, in short reach communication, components are the dominant source…

Signal Processing · Electrical Eng. & Systems 2025-01-13 Maximilian Schaedler , Georg Böcherer , Stephan Pachnicke

Reconstruction of CT images from a limited set of projections through an object is important in several applications ranging from medical imaging to industrial settings. As the number of available projections decreases, traditional…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Anish Lahiri , Marc Klasky , Jeffrey A. Fessler , Saiprasad Ravishankar

We consider an inverse source problem for partially coherent light propagating in the Fresnel regime. The data is the coherence of the field measured away from the source. The reconstruction is based on a minimum residue formulation, which…

Differentiable rendering has received increasing interest for image-based inverse problems. It can benefit traditional optimization-based solutions to inverse problems, but also allows for self-supervision of learning-based approaches for…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Linjie Lyu , Marc Habermann , Lingjie Liu , Mallikarjun B R , Ayush Tewari , Christian Theobalt

We present a continuous-variable quantum key distribution protocol combining a discrete modulation and reverse reconciliation. This protocol is proven unconditionally secure and allows the distribution of secret keys over long distances,…

Quantum Physics · Physics 2010-03-15 Anthony Leverrier , Philippe Grangier

In this paper, we tackle the problem of blind image super-resolution(SR) with a reformulated degradation model and two novel modules. Following the common practices of blind SR, our method proposes to improve both the kernel estimation as…

Image and Video Processing · Electrical Eng. & Systems 2022-03-28 Ziwei Luo , Haibin Huang , Lei Yu , Youwei Li , Haoqiang Fan , Shuaicheng Liu

We present an efficient, effective, and generic approach towards solving inverse problems. The key idea is to leverage the feedback signal provided by the forward process and learn an iterative update model. Specifically, at each iteration,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-20 Wei-Chiu Ma , Shenlong Wang , Jiayuan Gu , Sivabalan Manivasagam , Antonio Torralba , Raquel Urtasun

The information noise-contrastive estimation (InfoNCE) loss function provides the basis of many self-supervised deep learning methods due to its strong empirical results and theoretic motivation. Previous work suggests a supervised…

Computer Vision and Pattern Recognition · Computer Science 2024-11-11 Patrick Feeney , Michael C. Hughes