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In this paper we present a sequential hypothesis test for the detection of general jump size distrubution. Infinitesimal generators for the corresponding log-likelihood ratios are presented and analyzed. Bounds for infinitesimal generators…

Methodology · Statistics 2022-01-26 Michael Roberts , Indranil SenGupta

A hypothesis that the financial log-periodicity, cascading self-similarity through various time scales, carries signatures of a law is pursued. It is shown that the most significant historical financial events can be classified amazingly…

Statistical Mechanics · Physics 2009-11-07 S. Drozdz , F. Grummer , F. Ruf , J. Speth

Denoising Diffusion Probabilistic Models have shown an impressive generation quality, although their long sampling chain leads to high computational costs. In this paper, we observe that a long sampling chain also leads to an error…

Machine Learning · Computer Science 2023-06-21 Mang Ning , Enver Sangineto , Angelo Porrello , Simone Calderara , Rita Cucchiara

Destructive interference between signal and background processes poses a fundamental challenge in searches for top-philic scalar resonances, significantly reducing experimental sensitivity to well-motivated extensions of the Higgs sector.…

High Energy Physics - Phenomenology · Physics 2026-04-29 Diego A. Baron Moreno , Christoph Englert , Yvonne Peters

We document and analyze the empirical facts concerning one of the clearest evidence of speculation in financial trading as observed in the postage collection stamp market. We unravel some of the mechanisms of speculative behavior which…

Statistical Mechanics · Physics 2009-10-31 Bertrand Roehner , D. Sornette

When mining large datasets in order to predict new data, limitations of the principles behind statistical machine learning pose a serious challenge not only to the Big Data deluge, but also to the traditional assumptions that data…

Information Theory · Computer Science 2023-04-26 Felipe S. Abrahão , Hector Zenil , Fabio Porto , Michael Winter , Klaus Wehmuth , Itala M. L. D'Ottaviano

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

A key physical quantity during reionization is the size of HII regions. Previous studies found a characteristic bubble size which increases rapidly during reionization, with apparent agreement between simulations and analytic excursion set…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-07 Yin Lin , S. Peng Oh , Steven R. Furlanetto , P. M. Sutter

We investigate to what extent future microwave background experiments might be able to detect a suppression of fluctuation power on large scales in flat and open universe models. Such suppression would arise if fluctuations are generated by…

Astrophysics · Physics 2008-11-26 Arjun Berera , Alan F. Heavens

By investigating nonfungible tokens (NFTs), we provide the first systematic study of retail investor behavior through asset bubbles. Given that NFTs are recorded in public blockchains, we are able to track investor behavior over time,…

Pricing of Securities · Quantitative Finance 2023-03-13 Andrea Barbon , Angelo Ranaldo

We simulate a simplified version of the price process including bubbles and crashes proposed in Kreuser and Sornette (2018). The price process is defined as a geometric random walk combined with jumps modelled by separate, discrete…

Econometrics · Economics 2020-04-21 Jan-Christian Gerlach , Jerome Kreuser , Didier Sornette

In the picture of eternal inflation, our observable universe resides inside a single bubble nucleated from an inflating false vacuum. Many of the theories giving rise to eternal inflation predict that we have causal access to collisions…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-08 Stephen M. Feeney , Matthew C. Johnson , Daniel J. Mortlock , Hiranya V. Peiris

We develop a methodology for detecting asset bubbles using a neural network. We rely on the theory of local martingales in continuous-time and use a deep network to estimate the diffusion coefficient of the price process more accurately…

Statistical Finance · Quantitative Finance 2020-02-18 Oksana Bashchenko , Alexis Marchal

We analyze a controlled price formation experiment in the laboratory that shows evidence for bubbles. We calibrate two models that demonstrate with high statistical significance that these laboratory bubbles have a tendency to grow faster…

Trading and Market Microstructure · Quantitative Finance 2012-05-04 Andreas Hüsler , Didier Sornette , Cars H. Hommes

A taxonomy of large financial crashes proposed in the literature locates the burst of speculative bubbles due to endogenous causes in the framework of extreme stock market crashes, defined as falls of market prices that are outlier with…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Giulia Rotundo , Mauro Navarra

We present an advance bubble detection methodology based on the Log Periodic Power Law Singularity (LPPLS) confidence indicator for the early causal identification of positive and negative bubbles in the Chinese stock market using the daily…

Statistical Finance · Quantitative Finance 2020-08-26 Min Shu , Wei Zhu

A generalization of Gy's theory for the variance of the fundamental sampling error is reviewed. Practical situations where the generalized model potentially leads to more accurate variance estimates are identified as: clustering of…

Applications · Statistics 2009-11-10 Bastiaan Geelhoed

Since 2008, after the proposal of a Bitcoin electronic cash system, Bitcoin has fundamentally changed the economic system over the last decade. Since 2022, large language models (LLMs) such as GPT have outperformed humans in many real-life…

Machine Learning · Computer Science 2023-08-22 Yeqi Gao , Zhao Song , Junze Yin

Model distillation has been a popular method for producing interpretable machine learning. It uses an interpretable "student" model to mimic the predictions made by the black box "teacher" model. However, when the student model is sensitive…

Machine Learning · Statistics 2023-05-01 Yunzhe Zhou , Peiru Xu , Giles Hooker

We introduce the concept of "negative bubbles" as the mirror image of standard financial bubbles, in which positive feedback mechanisms may lead to transient accelerating price falls. To model these negative bubbles, we adapt the…

General Finance · Quantitative Finance 2015-03-13 Wanfeng Yan , Ryan Woodard , Didier Sornette