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In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigorous method, which is widely used %,often without rigorous…

Dynamical Systems · Mathematics 2017-05-09 E. V. Kudryashova , N. V. Kuznetsov , G. A. Leonov , M. V. Yuldashev , R. V. Yuldashev

In this paper, a computationally efficient frequency-limited model reduction algorithm is presented for large-scale interconnected power systems. The algorithm generates a reduced order model which not only preserves the electromechanical…

Systems and Control · Electrical Eng. & Systems 2020-01-28 Umair Zulfiqar , Victor Sreeram , Xin Du

In distributed systems with processes that do not share a global clock, \emph{partial synchrony} is achieved by clock synchronization that guarantees bounded clock skew among all applications. Existing solutions for distributed runtime…

Logic in Computer Science · Computer Science 2024-08-12 Borzoo Bonakdarpour , Anik Momtaz , Dejan Ničković , N. Ege Saraç

The direction of arrival (DOA) estimation of sound sources has been a popular signal processing research topic due to its widespread applications. Using spherical microphone arrays (SMA), DOA estimation can be applied in the spherical…

Audio and Speech Processing · Electrical Eng. & Systems 2017-11-07 Hossein Lolaee , Mohammad Ali Akhaee

In this paper, we introduce a novel iterative algorithm for the problem of phase-retrieval where the measurements consist of only the magnitude of linear function of the unknown signal, and the noise in the measurements follow Poisson…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Ghania Fatima , Zongyu Li , Aakash Arora , Prabhu Babu

Automatic prompt optimization frameworks are developed to obtain suitable prompts for large language models (LLMs) with respect to desired output quality metrics. Although existing approaches can handle conventional tasks such as…

Computation and Language · Computer Science 2025-05-14 Chun-Pai Yang , Kan Zheng , Shou-De Lin

We propose a fast sequential algorithm for the fundamental problem of estimating frequencies and amplitudes of a noisy mixture of sinusoids. The algorithm is a natural generalization of Orthogonal Matching Pursuit (OMP) to the continuum…

Information Theory · Computer Science 2016-08-24 Babak Mamandipoor , Dinesh Ramasamy , Upamanyu Madhow

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

We consider the problem of predictive monitoring (PM), i.e., predicting at runtime the satisfaction of a desired property from the current system's state. Due to its relevance for runtime safety assurance and online control, PM methods need…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Francesca Cairoli , Nicola Paoletti , Luca Bortolussi

Simple feedback loops, inspired from extremum-seeking, are proposed to lock a probe-frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed, a…

Mathematical Physics · Physics 2009-09-09 Mazyar Mirrahimi , Pierre Rouchon

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

Optimization and Control · Mathematics 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

We propose a new method to reduce the frequency noise of a Local Oscillator (LO) to the level of white phase noise by maintaining (not destroying by projective measurement) the coherence of the ensemble pseudo-spin of atoms over many…

Atomic Physics · Physics 2014-07-24 Nobuyasu Shiga , Makoto Takeuchi

This work presents a new variation of the commonly used Least Mean Squares Algorithm (LMS) for the identification of sparse signals with an a-priori known sparsity using a hard threshold operator in every iteration. It examines some useful…

Systems and Control · Computer Science 2016-08-04 Lampros Flokas , Petros Maragos

Ultra-high-speed spindle bearings challenge traditional vibration monitoring due to broadband noise, non-stationarity, and limited time-frequency resolution. We present a fast Short-Time Root-MUSIC (fSTrM) algorithm that exploits…

Information Retrieval · Computer Science 2025-06-24 Huiguang Zhang , Baoguo Liu , Wei Feng , Zongtang Li

This paper presents a method of unsupervised learning of harmonic analysis based on a hidden semi-Markov model (HSMM). We introduce the chord quality templates, which specify the probability of pitch class emissions given a root note and a…

Artificial Intelligence · Computer Science 2024-03-08 Yui Uehara

Monitoring of hybrid systems attracts both scientific and practical attention. However, monitoring algorithms suffer from the methodological difficulty of only observing sampled discrete-time signals, while real behaviors are…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Masaki Waga , Étienne André , Ichiro Hasuo

In this paper, a sparse-based method for the estimation of the parameters of multidimensional ($R$-D) modal (harmonic or damped) complex signals in noise is presented. The problem is formulated as $R$ simultaneous sparse approximations of…

Information Theory · Computer Science 2015-11-02 Souleymen Sahnoun , El-Hadi Djermoune , David Brie , Pierre Comon

We introduce RHYTHM (Reasoning with Hierarchical Temporal Tokenization for Human Mobility), a framework that leverages large language models (LLMs) as spatio-temporal predictors and trajectory reasoners. RHYTHM partitions trajectories into…

Computation and Language · Computer Science 2025-10-01 Haoyu He , Haozheng Luo , Yan Chen , Qi R. Wang

Although the Harrow-Hassidim-Lloyd (HHL) algorithm offers an exponential speedup in system size for treating linear equations of the form $A\vec{x}=\vec{b}$ on quantum computers when compared to their traditional counterparts, it faces a…

The auto-regressive decoding of Large Language Models (LLMs) results in significant overheads in their hardware performance. While recent research has investigated various speculative decoding techniques for multi-token generation, these…

Machine Learning · Computer Science 2025-10-01 Hao Mark Chen , Wayne Luk , Ka Fai Cedric Yiu , Rui Li , Konstantin Mishchenko , Stylianos I. Venieris , Hongxiang Fan