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We study the RPA equations in their most general form by taking the matrix elements appearing in the RPA equations as random. This yields either a unitarily or an orthogonally invariant random-matrix model which is not of the Cartan type.…

Nuclear Theory · Physics 2009-08-05 X. Barillier-Pertuisel , O. Bohigas , H. A. Weidenmueller

In spectroscopic analysis, the peak-based signal-to-noise ratio (pSNR) is commonly used but suffers from limitations such as sensitivity to noise spikes and reduced effectiveness for broader peaks. We introduce the area-based…

Signal Processing · Electrical Eng. & Systems 2025-12-25 Alex Yu , Huaqing Zhao , Lin Z. Li

Reinforcement learning (RL) has traditionally been understood from an episodic perspective; the concept of non-episodic RL, where there is no restart and therefore no reliable recovery, remains elusive. A fundamental question in…

Machine Learning · Computer Science 2021-05-31 Shuang Liu , Hao Su

We present a novel approach to the problem of dual-functional radar and communication (DFRC) waveform design with adjustable peak-to-average power ratio (PAPR), while minimizing the multi-user communication interference and maintaining a…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Ahmad Bazzi , Marwa Chafii

We derive concentration inequalities for differentially private median and mean estimators building on the "Propose, Test, Release" (PTR) mechanism introduced by Dwork and Lei (2009). We introduce a new general version of the PTR mechanism…

Machine Learning · Statistics 2020-02-21 Victor-Emmanuel Brunel , Marco Avella-Medina

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

A novel pinching antenna system (PASS) enabled wireless power transfer (WPT) framework is proposed, where energy harvesting receivers (EHRs) and information decoding receivers (IDRs) coexist. By activating pinching antennas (PAs) near both…

Signal Processing · Electrical Eng. & Systems 2025-11-17 Deqiao Gan , Xiaoxia Xu , Xiaohu Ge , Yue Liu , Yuanwei Liu

In this paper, we derive the information theoretic performance bounds on communication data rates and errors in parameter estimation, for a joint radar and communication (JRC) system. We assume that targets are semi-passive, i.e. they use…

Information Theory · Computer Science 2021-07-08 Ganesan Thiagarajan , Sanjeev Gurugopinath

In this paper, the performance of signaling strategies with high peak-to-average power ratio is analyzed in both coherent and noncoherent fading channels. Two recently proposed modulation schemes, namely on-off binary phase-shift keying and…

Information Theory · Computer Science 2007-07-13 Mustafa Cenk Gursoy

In this paper, the problem of joint transmission and computation resource allocation for probabilistic semantic communication (PSC) system with rate splitting multiple access (RSMA) is investigated. In the considered model, the base station…

Information Theory · Computer Science 2025-09-25 Zhouxiang Zhao , Zhaohui Yang , Ye Hu , Qianqian Yang , Wei Xu , Zhaoyang Zhang

The maximum energy of the EPR model on a weighted graph is known to be upper-bounded by the sum of the total weight and the value of maximum-weight fractional matching~(MWFM). Recently, Apte, Parekh and Sud~(APS) conjecture that the bound…

Quantum Physics · Physics 2025-07-15 Wenxuan Tao , Fen Zuo

The so-called Pareto-Levy or power-law distribution has been successfully used as a model to describe probabilities associated to extreme variations of worldwide stock markets indexes data and it has the form $Pr(X>x) ~ x**(-alpha) for…

Other Condensed Matter · Physics 2009-11-10 H. F. Coronel-Brizio , A. R. Hernandez-Montoya

This paper presents a stochastic geometry model for the investigation of fundamental information theoretic limitations in wireless networks. We derive a new unified multi-parameter cut-set bound on the capacity of networks of arbitrary…

Information Theory · Computer Science 2013-05-02 Georgios Rodolakis

Generalized empirical likelihood and generalized method of moments are well spread methods of resolution of inverse problems in econometrics. Each method defines a specific semiparametric model for which it is possible to calculate…

Statistics Theory · Mathematics 2010-11-24 Paul Rochet

Many policy-based reinforcement learning (RL) algorithms can be viewed as instantiations of approximate policy iteration (PI), i.e., where policy improvement and policy evaluation are both performed approximately. In applications where the…

Machine Learning · Computer Science 2023-06-29 Yashaswini Murthy , Mehrdad Moharrami , R. Srikant

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes

In a unified system of passive radar and communication systems of joint transmitter platform, information intended for a communication receiver may be eavesdropped by a passive radar receiver (RR), thereby undermining the security of…

Information Theory · Computer Science 2018-08-30 Batu K. Chalise , Moeness G. Amin

With the increase in demand for Internet of Things (IoT) applications, the number of IoT devices has drastically grown, making spectrum resources seriously insufficient. Transmission collisions and retransmissions increase power…

Networking and Internet Architecture · Computer Science 2025-01-23 Ryotai Airiyoshi , Mikio Hasegawa , Tomoaki Ohtsuki , Aohan Li

We study performance limits of solutions to utility maximization problems (e.g., max-min problems) in wireless networks as a function of the power budget $\bar{p}$ available to transmitters. Special focus is devoted to the utility and the…

Information Theory · Computer Science 2017-04-28 R. L. G. Cavalcante , S. Stańczak

This letter proposes a novel random medium access control (MAC) based on a transmission opportunity prediction, which can be measured in a form of a conditional success probability given transmitter-side interference. A transmission…

Networking and Internet Architecture · Computer Science 2019-12-16 Jinho Choi , Seung-Woo Ko , Koji Yamamoto , Seong-Lyun Kim