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We consider stochastic nonlinear Schrodinger equations driven by an additive noise. The noise is fractional in time with Hurst parameter H in (0,1). It is also colored in space and the space correlation operator is assumed to be nuclear. We…

概率论 · 数学 2007-11-08 Eric Gautier

Probabilistic shaping is a pragmatic approach to improve the performance of coherent optical fiber communication systems. In the nonlinear regime, the advantages offered by probabilistic shaping might increase thanks to the opportunity to…

信息论 · 计算机科学 2024-01-19 Stella Civelli , Enrico Forestieri , Marco Secondini

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

统计理论 · 数学 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

This paper presents a backfitting-type method for estimating and forecasting a periodically correlated partially linear model with exogeneous variables and heteroskedastic input noise. A rate of convergence of the estimator is given. The…

统计理论 · 数学 2011-02-23 Xavier Brossat , Georges Oppenheim , Marie-Claude Viano

We show that a 0.9 dB SNR improvement can be obtained via short-blocklength enumerative sphere shaping for single-span transmission at 56 GBd. This gain vanishes for higher symbol rates and a larger number of spans.

I consider inference in a partially linear regression model under stationary $\beta$-mixing data after first stage deep neural network (DNN) estimation. Using the DNN results of Brown (2024), I show that the estimator for the finite…

计量经济学 · 经济学 2024-10-31 Chad Brown

Probabilistic shaping of quadrature amplitude modulation (QAM) is used to enhance the sensitivity of an optical communication system. Sensitivity gains of 0.43 dB and 0.8 dB are demonstrated in back-to-back experiments by shaping of 16QAM…

信息论 · 计算机科学 2016-01-19 Tobias Fehenberger , Domaniç Lavery , Robert Maher , Alex Alvarado , Polina Bayvel , Norbert Hanik

Signal to Noise Ratio (SNR) is an important index for wireless communications. In CDMA systems, spreading sequences are utilized. This series of papers show the method to derive spreading sequences as the solutions of the non-linear…

信息论 · 计算机科学 2016-12-28 Hirofumi Tsuda , Ken Umeno

Coherent optics has demonstrated significant potential as a viable solution for achieving 100 Gb/s and higher speeds in single-wavelength passive optical networks (PON). However, upstream burst-mode coherent detection is a major challenge…

信号处理 · 电气工程与系统科学 2024-09-24 Yongxin Sun , Hexun Jiang , Yicheng Xu , Mengfan Fu , Yixiao Zhu , Lilin Yi , Weisheng Hu , Qunbi Zhuge

Recently, a metric called energy dispersion index (EDI) was proposed to indicate the nonlinear interference (NLI) induced by correlated symbols during optical transmission. In this paper, we propose a new shaper architecture to decrease the…

信号处理 · 电气工程与系统科学 2022-02-23 Kaiquan Wu , Gabriele Liga , Alireza Sheikh , Yunus Can Gültekin , Frans M. J. Willems , Alex Alvarado

Instrumental variable (IV) methods are widely used to infer treatment effects in the presence of unmeasured confounding. In this paper, we study nonparametric inference with an IV under a separable binary treatment choice model, which…

统计方法学 · 统计学 2026-02-03 Chan Park , Eric Tchetgen Tchetgen

The maximum likelihood detection rule for a four-dimensional direct-detection optical front-end is derived. The four dimensions are two intensities and two differential phases. Three different signal processing algorithms, composed of…

信息论 · 计算机科学 2021-05-31 Amir Tasbihi , Frank R. Kschischang

Probabilistic forecasting consists in predicting a distribution of possible future outcomes. In this paper, we address this problem for non-stationary time series, which is very challenging yet crucially important. We introduce the STRIPE…

机器学习 · 统计学 2021-04-13 Vincent Le Guen , Nicolas Thome

Statistical divergences (SDs), which quantify the dissimilarity between probability distributions, are a basic constituent of statistical inference and machine learning. A modern method for estimating those divergences relies on…

统计理论 · 数学 2022-03-30 Sreejith Sreekumar , Ziv Goldfeld

We propose Four-Dimensional (4D) energy limit enumerative sphere shaping (ESS) of $M$-QAM signaling to minimize rate loss and improve the transmission performance over non-linear WDM optical-fiber systems. Simulation results show that the…

信息论 · 计算机科学 2023-11-30 Jingtian Liu , Élie Awwad , Yves Jaouën

Probabilistic constellation shaping has been used in long-haul optically amplified coherent systems for its capability to approach the Shannon limit and realize fine rate granularity. The availability of high-bandwidth optical-electronic…

信号处理 · 电气工程与系统科学 2023-03-31 Md Sabbir-Bin Hossain , Georg Bocherer , Talha Rahman , Tom Wettlin , Nebojsa Stojanovic , Stefano Calabro , Stephan Pachnicke

Nonlinear stochastic differential equations provide one of the mathematical models yielding 1/f noise. However, the drawback of a single equation as a source of 1/f noise is the necessity of power-law steady-state probability density of the…

统计力学 · 物理学 2016-05-25 J. Ruseckas , R Kazakevičius , B Kaulakys

We propose a probabilistic shaping approach for region-of-interest signaling, where a low-rate signal controls the desired probabilistic ranges of a high-rate data stream using a flexible distribution controller. In addition, we introduce…

信号处理 · 电气工程与系统科学 2022-09-05 Duc-Phuc Nguyen , Yoshifumi Shiraki , Jun Muramatsu , Takehiro Moriya

This paper investigates the learnability of the nonlinearity property of Boolean functions using neural networks. We train encoder style deep neural networks to learn to predict the nonlinearity of Boolean functions from examples of…

机器学习 · 计算机科学 2025-02-04 Sriram Ranga , Nandish Chattopadhyay , Anupam Chattopadhyay

Spatio-temporal graph neural networks (STGNN) have emerged as the dominant model for spatio-temporal graph (STG) forecasting. Despite their success, they fail to model intrinsic uncertainties within STG data, which cripples their…

机器学习 · 计算机科学 2024-03-12 Haomin Wen , Youfang Lin , Yutong Xia , Huaiyu Wan , Qingsong Wen , Roger Zimmermann , Yuxuan Liang