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It is shown that a well-known theory of random stationary processes contain contradictions. Integral representations of correlation functions and random stationary processes are investigated further. The new method of struggle with…

统计理论 · 数学 2011-03-09 V. N. Tibabishev

This study investigates temporal variability in U.S. climate using harmonic decomposition techniques, specifically Fourier and wavelet transforms. Monthly temperature, precipitation, and drought index data from the National Oceanic and…

大气与海洋物理 · 物理学 2025-11-13 Thomas Xiao

The decomposition of non-stationary signals is an important and challenging task in the field of signal time-frequency analysis. In the recent two decades, many signal decomposition methods led by the empirical mode decomposition, which was…

机器学习 · 计算机科学 2023-07-06 Feng Zhou , Antonio Cicone , Haomin Zhou

The state-of-the-art error correcting codes are based on large random constructions (random graphs, random permutations, ...) and are decoded by linear-time iterative algorithms. Because of these features, they are remarkable examples of…

无序系统与神经网络 · 物理学 2016-08-31 Silvio Franz , Michele Leone , Andrea Montanari , Federico Ricci-Tersenghi

Modeling an unknown dynamical system is crucial in order to predict the future behavior of the system. A standard approach is training recurrent models on measurement data. While these models typically provide exact short-term predictions,…

机器学习 · 计算机科学 2023-03-02 Katharina Ensinger , Sebastian Ziesche , Barbara Rakitsch , Michael Tiemann , Sebastian Trimpe

In the analysis of High-Energy Physics data, it is frequently desired to separate resonant signals from a smooth, non-resonant background. This paper introduces a new technique - functional decomposition (FD) - to accomplish this task. It…

数据分析、统计与概率 · 物理学 2018-05-15 Ryan Edgar , Dante Amidei , Christopher Grud , Karishma Sekhon

The ensemble empirical mode decomposition (EEMD) and its complete variant (CEEMDAN) are adaptive, noise-assisted data analysis methods that improve on the ordinary empirical mode decomposition (EMD). All these methods decompose possibly…

统计计算 · 统计学 2017-07-04 P. J. J. Luukko , J. Helske , E. Räsänen

The detrending algorithms which are widely used to reduce the impact of stellar variability on space-based transit surveys are ill-suited for estimating the parameters of confirmed planets, as they unavoidably alter the transit signal. We…

天体物理仪器与方法 · 物理学 2015-05-13 A. Alapini , S. Aigrain

One-dimensional signal decomposition is a well-established and widely used technique across various scientific fields. It serves as a highly valuable pre-processing step for data analysis. While traditional decomposition techniques often…

机器学习 · 计算机科学 2025-06-09 Samuele Salti , Andrea Pinto , Alessandro Lanza , Serena Morigi

The random demodulator is a recent compressive sensing architecture providing efficient sub-Nyquist sampling of sparse band-limited signals. The compressive sensing paradigm requires an accurate model of the analog front-end to enable…

信息论 · 计算机科学 2013-03-26 Pawel Jerzy Pankiewicz , Thomas Arildsen , Torben Larsen

The problem of decomposing networks into modules (or clusters) has gained much attention in recent years, as it can account for a coarse-grained description of complex systems, often revealing functional subunits of these systems. A variety…

数学物理 · 物理学 2014-08-01 Natasa Djurdjevac Conrad , Ralf Banisch , Christof Schütte

Chirp signals have established diverse applications caused by the capable of producing time-dependent linear frequencies. Most feature extraction transformation methods for chirp signals focus on enhancing the performance of transform…

信号处理 · 电气工程与系统科学 2024-01-11 Shuyi Gu , Zhenghua Luo , Lin Hu , Yilin Zhang , Junxiong Guo

The metriplectic formalism is useful for describing complete dynamical systems which conserve energy and produce entropy. This creates challenges for model reduction, as the elimination of high-frequency information will generally not…

数值分析 · 数学 2022-12-28 Anthony Gruber , Max Gunzburger , Lili Ju , Zhu Wang

Conformal prediction offers finite-sample coverage guarantees under minimal assumptions. However, existing methods treat the entire modeling process as a black box, overlooking opportunities to exploit and understand modular structure. We…

机器学习 · 统计学 2026-05-25 William Zhang , Saurabh Amin , Georgia Perakis

Iterative probabilistic inference, popularly dubbed the soft-iterative paradigm, has found great use in a wide range of communication applications, including turbo decoding and turbo equalization. The classic approach of analyzing the…

信息论 · 计算机科学 2015-06-16 Jing Li , Kai Xie

This paper presents a study on the reduction of the sampling frequency of the current signals of an induction motor, the reductions are performed by means time-decimation technique for digital signal processing. We have used the Fast…

信号处理 · 电气工程与系统科学 2018-07-31 J. S. Moreira , P. C. M. Lamim Filho , L. M. R. Baccarini , E. G. Nepomuceno , P. F. S. Guedes

Atmospheric turbulence distorts visual imagery and is always problematic for information interpretation by both human and machine. Most well-developed approaches to remove atmospheric turbulence distortion are model-based. However, these…

计算机视觉与模式识别 · 计算机科学 2022-05-10 Nantheera Anantrasirichai

The integration of the frequency dynamics into Micro-Grid (MG) investment and operational planning problems is vital in ensuring the security of the system in the post-contingency states. However, the task of including transient security…

系统与控制 · 电气工程与系统科学 2023-04-14 Agnes Marjorie Nakiganda , Shahab Dehghan , Petros Aristidou

The increasing availability of sensor data at machine tools makes automatic chatter detection algorithms a trending topic in metal cutting. Two prominent and advanced methods for feature extraction via signal decomposition are Wavelet…

信号处理 · 电气工程与系统科学 2020-01-22 Melih C. Yesilli , Firas A. Khasawneh , Andreas Otto

If quantum information processors are to fulfill their potential, the diverse errors that affect them must be understood and suppressed. But errors typically fluctuate over time, and the most widely used tools for characterizing them assume…

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