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A number of papers claim that a Log Periodic Power Law (LPPL) fitted to financial market bubbles that precede large market falls or 'crashes', contain parameters that are confined within certain ranges. The mechanism that has been claimed…

Statistical Finance · Quantitative Finance 2020-07-27 David S. Bree , Nathan Lael Joseph

The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. If the on-going development of a bubble is suspected, asset prices can be fit numerically to the LPPL law. The best solutions can then indicate whether…

Computational Finance · Quantitative Finance 2011-02-01 Vincenzo Liberatore

Forecasting violent rockbursts remains a formidable challenge due to significant uncertainties involved. One major uncertainty arises from the intermittency of rock failure processes, typically characterised by a series of progressively…

Geophysics · Physics 2025-03-03 Qinghua Lei , Didier Sornette

We propose and implement a nonlinear Verification and Validation (V&V) methodology to test two fitting procedures for the log-periodic power law model (LPPL), a model that has diverse applications across data analysis, but known estimation…

Methodology · Statistics 2021-06-10 Jarret Petrillo

The Log-Periodic Power Law Singularity (LPPLS) model offers a general framework for capturing dynamics and predicting transition points in diverse natural and social systems. In this work, we present two calibration techniques for the LPPLS…

Computational Engineering, Finance, and Science · Computer Science 2024-05-22 Joshua Nielsen , Didier Sornette , Maziar Raissi

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

General Finance · Quantitative Finance 2010-02-07 Wanfeng Yan , Ryan Woodard , Didier Sornette

The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. A major open issue is to verify the presence of LPPL in price sequences and to estimate the LPPL parameters. Estimation is complicated by the fact that…

Statistical Finance · Quantitative Finance 2011-02-01 Vincenzo Liberatore

Renowned method of log-periodic power law(LPPL) is one of the few ways that a financial market crash could be predicted. Alongside with LPPL, this paper propose a novel method of stock market crash using white box model derived from simple…

Statistical Finance · Quantitative Finance 2021-08-27 HyeonJun Kim

In this study, we perform a novel analysis of the 2015 financial bubble in the Chinese stock market by calibrating the Log Periodic Power Law Singularity (LPPLS) model to two important Chinese stock indices, SSEC and SZSC, from early 2014…

Statistical Finance · Quantitative Finance 2019-06-14 Min Shu , Wei Zhu

Motivated by the hypothesis that financial crashes are macroscopic examples of critical phenomena associated with a discrete scaling symmetry, we reconsider the evidence of log-periodic precursors to financial crashes and test the…

Condensed Matter · Physics 2007-05-23 James Feigenbaum

To quantify uncertainty, conformal prediction methods are gaining continuously more interest and have already been successfully applied to various domains. However, they are difficult to apply to time series as the autocorrelative structure…

Machine Learning · Computer Science 2023-11-03 Andreas Auer , Martin Gauch , Daniel Klotz , Sepp Hochreiter

Given key performance indicators collected with fine granularity as time series, our aim is to predict and explain failures in storage environments. Although explainable predictive modeling based on spiky telemetry data is key in many…

Machine Learning · Computer Science 2019-01-25 Ioana Giurgiu , Anika Schumann

We present a simple transformation of the formulation of the log-periodic power law formula of the Johansen-Ledoit-Sornette model of financial bubbles that reduces it to a function of only three nonlinear parameters. The transformation…

General Finance · Quantitative Finance 2013-06-11 Vladimir Filimonov , Didier Sornette

A new comprehensive approach to nonlinear time series analysis and modeling is developed in the present paper. We introduce novel data-specific mid-distribution based Legendre Polynomial (LP) like nonlinear transformations of the original…

Statistics Theory · Mathematics 2017-12-27 Subhadeep Mukhopadhyay , Emanuel Parzen

The method to estimate the predictability of human mobility was proposed in [C. Song \emph{et al.}, Science {\bf 327}, 1018 (2010)], which is extensively followed in exploring the predictability of disparate time series. However, the…

Physics and Society · Physics 2019-03-27 Paiheng Xu , Likang Yin , Zhongtao Yue , Tao Zhou

In this paper we initiate the study of the computational complexity of learning linear temporal logic (LTL) formulas from examples. We construct approximation algorithms for fragments of LTL and prove hardness results; in particular we…

Formal Languages and Automata Theory · Computer Science 2021-02-02 Nathanaël Fijalkow , Guillaume Lagarde

We present a detailed methodological study of the application of the modified profile likelihood method for the calibration of nonlinear financial models characterised by a large number of parameters. We apply the general approach to the…

Statistical Finance · Quantitative Finance 2016-02-29 Vladimir Filimonov , Guilherme Demos , Didier Sornette

Time-series forecasting has gained significant attention in machine learning due to its crucial role in various domains. However, most existing forecasting models rely heavily on point-wise loss functions like Mean Square Error, which treat…

Machine Learning · Computer Science 2025-07-16 Dilfira Kudrat , Zongxia Xie , Yanru Sun , Tianyu Jia , Qinghua Hu

We consider the estimation of approximate factor models for time series data, where strong serial and cross-sectional correlations amongst the idiosyncratic component are present. This setting comes up naturally in many applications, but…

Methodology · Statistics 2019-12-10 Jiahe Lin , George Michailidis

We propose a novel model, the Hyped Log-Periodic Power Law Model (HLPPL), to the problem of quantifying and detecting financial bubbles, an ever-fascinating one for academics and practitioners alike. Bubble labels are generated using a…

Computational Finance · Quantitative Finance 2025-10-14 Zheng Cao , Xingran Shao , Yuheng Yan , Helyette Geman
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