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Method for detection and visualization of trends, periodicities, local peculiarities in measurement series (dL-method) based on DFA technology (Detrended fluctuation analysis) is proposed. The essence of the method lies in reflecting the…

Applications · Statistics 2009-03-20 D. V. Lande , A. A. Snarskii

We use some fractal analysis methods to study river flow fluctuations. The result of the Multifractal Detrended Fluctuation Analysis (MF-DFA) shows that there are two crossover timescales at $s_{1\times}\sim12$ and $s_{2\times}\sim130$…

Data Analysis, Statistics and Probability · Physics 2015-06-26 M. Sadegh Movahed , Evalds Hermanis

The RR series extracted from human electrocardiogram signal (ECG) is considered as a fractal stochastic process. The manifestation of long-range dependencies is the presence of power laws in scale dependent process characteristics.…

Tissues and Organs · Quantitative Biology 2009-11-11 Danuta Makowiec , Rafal Galaska , Aleksandra Dudkowska , Andrzej Rynkiewicz , Marcin Zwierz

Background: Code review is a cognitively demanding and time-consuming process. Previous qualitative studies hinted at how decomposing change sets into multiple yet internally coherent ones would improve the reviewing process. So far,…

Software Engineering · Computer Science 2020-01-22 Marco di Biase , Magiel Bruntink , Arie van Deursen , Alberto Bacchelli

We study the properties of memory of a financial time series adopting two different methods of analysis, the detrended fluctuation analysis (DFA) and the analysis of the power spectrum (PSA). The methods are applied on three time series:…

Statistical Mechanics · Physics 2008-12-02 Simone Bianco

The length of minimal and maximal blocks equally distant on log-log scale versus fluctuation function considerably influences bias and variance of DFA. Through a number of extensive Monte Carlo simulations and different fractional Brownian…

Statistical Mechanics · Physics 2009-11-13 Sebastian Michalski

We propose a mechanism to produce fluctuations in the viscosity parameter ($\alpha$) in differetially rotating discs. We carried out a nonlinear analysis of a general accretion flow, where any perturbation on the background $\alpha$ was…

High Energy Astrophysical Phenomena · Physics 2015-06-17 S. R. Rajesh , Nishant K. Singh

Exploring the impact of change requests applied to a software maintenance project helps to assess the fault-proneness of the change request to be handled further, which is perhaps a bug fix or even a new feature demand. In practice, the…

Software Engineering · Computer Science 2015-02-04 Rudra Kumar M , A Ananda Rao

Understanding the decision process of neural networks is hard. One vital method for explanation is to attribute its decision to pivotal features. Although many algorithms are proposed, most of them solely improve the faithfulness to the…

Artificial Intelligence · Computer Science 2022-09-07 Yuyou Gan , Yuhao Mao , Xuhong Zhang , Shouling Ji , Yuwen Pu , Meng Han , Jianwei Yin , Ting Wang

One-dimensional detrended fluctuation analysis (1D DFA) and multifractal detrended fluctuation analysis (1D MF-DFA) are widely used in the scaling analysis of fractal and multifractal time series because of being accurate and easy to…

General Physics · Physics 2007-05-23 Gao-Feng Gu , Wei-Xing Zhou

Researchers in empirical software engineering often make claims based on observable data such as defect reports. Unfortunately, in many cases, these claims are generalized beyond the data sets that have been evaluated. Will the researcher's…

Software Engineering · Computer Science 2020-08-10 Abdul Ali Bangash , Hareem Sahar , Abram Hindle , Karim Ali

The durability and quality of software contributions are critical factors in the long-term maintainability of a codebase. This paper introduces the Time to Modification (TTM) Theory, a novel approach for quantifying code quality by…

Software Engineering · Computer Science 2024-10-16 Vincil Bishop , Steven J Simske

Static analysis tools are widely used for vulnerability detection as they understand programs with complex behavior and millions of lines of code. Despite their popularity, static analysis tools are known to generate an excess of false…

Software Engineering · Computer Science 2021-02-17 Yunhui Zheng , Saurabh Pujar , Burn Lewis , Luca Buratti , Edward Epstein , Bo Yang , Jim Laredo , Alessandro Morari , Zhong Su

A fundamental unit of work in programming is the code contribution ("commit") that a developer makes to the code base of the project in work. An author's commit frequency describes how often that author commits. Knowing the distribution of…

Software Engineering · Computer Science 2014-08-22 Carsten Kolassa , Dirk Riehle , Michel A. Salim

Existing research indicates that the output of Chain-of-Thought (CoT) is significantly affected by input perturbations. Although many methods aim to mitigate such impact by optimizing prompts, a theoretical explanation of how these…

Computation and Language · Computer Science 2025-09-26 Dingzirui Wang , Xuanliang Zhang , Keyan Xu , Qingfu Zhu , Wanxiang Che , Yang Deng

Large-scale decentralized systems of autonomous agents interacting via asynchronous communication often experience the following self-healing dilemma: fault detection inherits network uncertainties making a remote faulty process…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-25 Jovan Nikolic , Nursultan Jubatyrov , Evangelos Pournaras

We discuss the problem for detecting long-range correlations in sequences of values obtained by generators of pseudo-random numbers. The basic idea is that the H{\"o}lder exponent for a sufficiently long sequence of uncorrelated random…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Nikolay K. Vitanov , Kh. Tarnev , H. Kantz

We propose the Fourier Adaptive Lite Diffusion Architecture (FALDA), a novel probabilistic framework for time series forecasting. First, we introduce the Diffusion Model for Residual Regression (DMRR) framework, which unifies…

Machine Learning · Computer Science 2025-05-19 Xinyan Wang , Rui Dai , Kaikui Liu , Xiangxiang Chu

It is suggested that the $\omega^{-1/2}$ high-frequency decay of the alpha loss in highly viscous liquids, which appears to be generic, is a manifestation of a negative long-time tail as typically encountered in stochastic dynamics. The…

Soft Condensed Matter · Physics 2007-05-23 Jeppe C. Dyre

One single code change can significantly influence a wide range of software systems and their users. For example, 1) adding a new feature can spread defects in several modules, while 2) changing an API method can improve the performance of…

Software Engineering · Computer Science 2016-06-13 Daoyuan Li , Li Li , Dongsun Kim , Tegawendé F. Bissyandé , David Lo , Yves Le Traon
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