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We define a second-order neural network stochastic gradient training algorithm whose block-diagonal structure effectively amounts to normalizing the unit activations. Investigating why this algorithm lacks in robustness then reveals two…

Machine Learning · Computer Science 2017-05-29 Jean Lafond , Nicolas Vasilache , Léon Bottou

Stock return forecasting is of utmost importance in the business world. This has been the favourite topic of research for many academicians since decades. Recently, regularization techniques have reported to tremendously increase the…

General Finance · Quantitative Finance 2019-08-13 Kartikay Gupta , Niladri Chatterjee

We propose a general non-linear order book model that is built from the individual behaviours of the agents. Our framework encompasses Markovian and Hawkes based models. Under mild assumptions, we prove original results on the ergodicity…

Statistical Finance · Quantitative Finance 2019-06-14 Othmane Mounjid , Mathieu Rosenbaum , Pamela Saliba

Risk management in financial derivative markets requires inevitably the calculation of the different price sensitivities. The literature contains an abundant amount of research works that have studied the computation of these important…

Pricing of Securities · Quantitative Finance 2018-01-30 Youssef El-Khatib , Abdulnasser Hatemi-J

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kartik Anand , Tobias Galla

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

Statistical Finance · Quantitative Finance 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

Using the framework of factor models, we establish the general expression of the coefficient of tail dependence between the market and a stock (i.e., the probability that the stock incurs a large loss, assuming that the market has also…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

Reputation is one of key mechanisms to maintain human cooperation, but its analysis gets complicated if we consider the possibility that reputation does not reach consensus because of erroneous assessment. The difficulty is alleviated if we…

Physics and Society · Physics 2022-07-13 Sanghun Lee , Yohsuke Murase , Seung Ki Baek

The purpose of order-of-addition (OofA) experiments is to identify the best order in a sequence of m components in a system or treatment. Such experiments may be analysed by various regression models, the most popular ones being based on…

Methodology · Statistics 2021-01-27 Hans-Peter Piepho , Emlyn R. Williams

The stochastic comparisons of parallel and series system are worthy of study. In this paper, we present some stochastic comparisons of parallel and series systems having independent components from Gumble distribution with two parameters…

Statistics Theory · Mathematics 2019-05-03 Surojit Biswas , Nitin Gupta

Although various polytomous item response models are considered to be ordinal models there seems no general definition of an ordinal model available. Alternative concepts of ordinal models are discussed and it is shown that they coincide…

Methodology · Statistics 2019-02-19 Gerhard Tutz

This paper focuses on stochastic orders and its applications : policy limits and deductibles. Further, many applications and some examples are given : comparison of two families of copulas, individual and collective risk model, reinsurance…

Statistics Theory · Mathematics 2015-01-28 Halim Zeghdoudi , Meriem Bouhadjar , Mohamed Riad Remita

In the seminal work [9], several macroscopic market observables have been introduced, in an attempt to find characteristics capturing the diversity of a financial market. Despite the crucial importance of such observables for investment…

Probability · Mathematics 2018-02-13 Sergio A. Almada Monter , Mykhaylo Shkolnikov , Jiacheng Zhang

We study statistical parameter estimation in the setting of data markets. A buyer seeks to estimate a parameter based on samples that can be purchased from competing providers that differ in their data quality and provision costs. When…

Computer Science and Game Theory · Computer Science 2026-04-13 Yuchen Hu , Martin J. Wainwright , Stephen Bates

An artificial stock market is established with the modeling method and ideas of cellular automata. Cells are used to represent stockholders, who have the capability of self-teaching and are affected by the investing history of the…

Other Condensed Matter · Physics 2009-11-10 Tao Zhou , Pei-Ling Zhou , Bing-Hong Wang , Zi-Nan Tang , Jun Liu

Model uncertainty is a type of inevitable financial risk. Mistakes on the choice of pricing model may cause great financial losses. In this paper we investigate financial markets with mean-volatility uncertainty. Models for stock markets…

Pricing of Securities · Quantitative Finance 2014-07-31 Yuhong Xu

Financial markets are prominent examples for highly non-stationary systems. Sample averaged observables such as variances and correlation coefficients strongly depend on the time window in which they are evaluated. This implies severe…

Statistical Finance · Quantitative Finance 2015-06-15 Thilo A. Schmitt , Desislava Chetalova , Rudi Schäfer , Thomas Guhr

We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of variance (square of volatility) under fixed…

Pricing of Securities · Quantitative Finance 2011-07-29 Mikhail Martynov , Olga Rozanova

This paper continues a series of studies devoted to analysis of the bivariate probability distribution P(x,y) of two consecutive price increments x (push) and y (response) at intraday timescales for a group of stocks. Besides the asymmetry…

Physics and Society · Physics 2008-12-02 Andrei Leonidov , Vladimir Trainin , Alexander Zaitsev , Sergey Zaitsev

We investigate the presence of twinlike models in theories described by several real scalar fields. We focus on the first-order formalism, and we show how to build distinct scalar field theories that support the same extended solution, with…

High Energy Physics - Theory · Physics 2014-03-17 D. Bazeia , A. S. Lobão , L. Losano , R. Menezes
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