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Continuous-variable (CV) quantum key distribution (QKD) allows for quantum secure communication with the benefit of being close to existing classical coherent communication. In recent years, CV QKD protocols using a discrete number of…

In this work, we obtain sufficient conditions for the "stability" of our recently proposed algorithms, Least Squares Compressive Sensing residual (LS-CS) and modified-CS, for recursively reconstructing sparse signal sequences from noisy…

Information Theory · Computer Science 2015-03-19 Namrata Vaswani

We address the problem of how to achieve optimal inference in distributed quantile regression without stringent scaling conditions. This is challenging due to the non-smooth nature of the quantile regression (QR) loss function, which…

Methodology · Statistics 2022-08-24 Kean Ming Tan , Heather Battey , Wen-Xin Zhou

Low-variance gradient estimation is crucial for learning directed graphical models parameterized by neural networks, where the reparameterization trick is widely used for those with continuous variables. While this technique gives…

Machine Learning · Statistics 2016-11-07 Seiya Tokui , Issei sato

Quantum continuous variables are being explored as an alternative means to implement quantum key distribution, which is usually based on single photon counting. The former approach is potentially advantageous because it should enable higher…

Quantum Physics · Physics 2009-11-10 F. Grosshans , G. Van Assche , J. Wenger , R. Brouri , N. J. Cerf , Ph. Grangier

Diffusion models excel at generating high-likelihood samples but often require alignment with downstream objectives. Existing fine-tuning methods for diffusion models significantly suffer from reward over-optimization, resulting in…

Machine Learning · Computer Science 2026-03-09 Hyeongyu Kang , Jaewoo Lee , Woocheol Shin , Kiyoung Om , Jinkyoo Park

We propose a variational quantum classifier operating on high dimensional deep representations via amplitude encoding, stabilized by a learnable classical pre encoding layer.By combining normalized amplitude embeddings with bounded quantum…

Machine Learning · Computer Science 2026-05-18 Ying Chen , Paolo Giudici , Vasily Kolesnikov , Paolo Recchia

In this paper we take up Bayesian inference in general multivariate stable distributions. We exploit the representation of Matsui and Takemura (2009) for univariate projections, and the representation of the distributions in terms of their…

Methodology · Statistics 2015-07-28 Mike G. Tsionas

We consider the security of continuous-variable quantum key distribution using thermal (or noisy) Gaussian resource states. Specifically, we analyze this against collective Gaussian attacks using direct and reverse reconciliation where both…

Quantum Physics · Physics 2013-04-17 Christian Weedbrook , Stefano Pirandola , Timothy C. Ralph

By providing a simple and efficient way of computing low-variance gradients of continuous random variables, the reparameterization trick has become the technique of choice for training a variety of latent variable models. However, it is not…

Machine Learning · Computer Science 2019-01-31 Michael Figurnov , Shakir Mohamed , Andriy Mnih

Recursive adaptive filtering methods are often used for solving the problem of simultaneous state and parameters estimation arising in many areas of research. The gradient-based schemes for adaptive Kalman filtering (KF) require the…

Systems and Control · Computer Science 2017-09-12 Julia V. Tsyganova , Maria V. Kulikova

Diffusion large language models (dLLMs) enable parallel text generation by iteratively denoising a fully masked sequence, unmasking a subset of masked tokens at each step. Existing decoding strategies rely on static confidence metrics…

Computation and Language · Computer Science 2026-04-21 Yue Wu , Jian Huang

In the context of uncertainty quantification, computational models are required to be repeatedly evaluated. This task is intractable for costly numerical models. Such a problem turns out to be even more severe for stochastic simulators, the…

Computation · Statistics 2022-11-29 X. Zhu , B. Sudret

Reproducibility is imperative for any scientific discovery. More often than not, modern scientific findings rely on statistical analysis of high-dimensional data. At a minimum, reproducibility manifests itself in stability of statistical…

Statistics Theory · Mathematics 2013-10-02 Bin Yu

In this paper, we present a new method for the dissipativity and stability analysis of a linear coupled differential-difference system (CDDS) with general distributed delays at both state and output. More precisely, the distributed delay…

Systems and Control · Computer Science 2018-11-06 Qian Feng , Sing Kiong Nguang , Alexandre Seuret

Security proof methods for quantum key distribution, QKD, that are based on the numerical key rate calculation problem, are powerful in principle. However, the practicality of the methods are limited by computational resources and the…

Quantum Physics · Physics 2022-09-14 Hao Hu , Jiyoung Im , Jie Lin , Norbert Lütkenhaus , Henry Wolkowicz

Rigorous mathematical proofs of the security of continuous-variable quantum key distribution (CV QKD) have been obtained recently. Unfortunately, these security proofs rely on assumptions that are hardly met in experimental practice. Here I…

Quantum Physics · Physics 2020-09-01 Cosmo Lupo

Balancing covariates is critical for credible and efficient randomized experiments. Rerandomization addresses this by repeatedly generating treatment assignments until covariate balance meets a prespecified threshold. By shrinking this…

Methodology · Statistics 2026-02-10 Jiuyao Lu , Tianruo Zhang , Ke Zhu

For linear discrete state-space (LDSS) models, under certain conditions, the linear least mean squares filter estimate has a convenient recursive predictor/corrector format, aka the Kalman filter (KF). The aim of the paper is to introduce…

Signal Processing · Electrical Eng. & Systems 2017-11-07 Eric Chaumette , Francois Vincent

Channel knowledge map (CKM) is a promising technique that enables environment-aware wireless networks by utilizing location-specific channel prior information to improve communication and sensing performance. A fundamental problem for CKM…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Shen Fu , Zijian Wu , Di Wu , Yong Zeng
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