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A method is presented for evaluating authors on the basis of citations. It assigns to each author a citation score which depends upon the number of times he is cited, and upon the scores of the citers. The scores are found to be the…

History and Overview · Mathematics 2008-10-07 Joseph B. Keller

We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a…

Statistical Mechanics · Physics 2009-11-07 L. Kullmann , J. Kertesz

In earlier studies, the estimation of the volatility of a stock using information on the daily opening, closing, high and low prices has been developed; the additional information in the high and low prices can be incorporated to produce…

Statistical Finance · Quantitative Finance 2008-12-18 L. C. G. Rogers , Fanyin Zhou

We review models of compositional growth, which were introduced to explain the growth statistics of various quantities ranging from firm sizes to GDP. In these models, entities are decomposed into units that grow independently. Thus, the…

General Economics · Economics 2024-04-12 José Moran , Massimo Riccaboni

During a stock market peak the price of a given stock ($ i $) jumps from an initial level $ p_1(i) $ to a peak level $ p_2(i) $ before falling back to a bottom level $ p_3(i) $. The ratios $ A(i) = p_2(i)/p_1(i) $ and $ B(i)= p_3(i)/p_1(i)…

Statistical Mechanics · Physics 2009-10-31 B. M. Roehner

We study the correlation structure of firm growth rates. We show that most firms are correlated because of their exposure to a common factor but that firms linked through the supply chain exhibit a stronger correlation on average than firms…

Statistical Finance · Quantitative Finance 2023-07-04 Luca Mungo , José Moran

We analyze the problem of comparing unitary transformations. The task is to decide, with minimal resources and maximal reliability, whether two given unitary transformations are identical or different. It is possible to make such…

Quantum Physics · Physics 2009-11-07 Erika Andersson , Igor Jex , Stephen M. Barnett

Many complex systems can be represented as networks, and the problem of network comparison is becoming increasingly relevant. There are many techniques for network comparison, from simply comparing network summary statistics to…

Machine Learning · Statistics 2017-04-04 Anatol E. Wegner , Luis Ospina-Forero , Robert E. Gaunt , Charlotte M. Deane , Gesine Reinert

Comparing, or benchmarking, of optimization algorithms is a complicated task that involves many subtle considerations to yield a fair and unbiased evaluation. In this paper, we systematically review the benchmarking process of optimization…

Optimization and Control · Mathematics 2017-09-26 Vahid Beiranvand , Warren Hare , Yves Lucet

Despite the growing popularity of machine-learning techniques in decision-making, the added value of causal-oriented strategies with respect to pure machine-learning approaches has rarely been quantified in the literature. These strategies…

Machine Learning · Computer Science 2023-09-22 Théo Verhelst , Robin Petit , Wouter Verbeke , Gianluca Bontempi

We introduce a new method of proving upper estimates of growth of finitely generated groups and constructing groups of intermediate growth using graphs of their actions. These estimates are of the form $\exp(n^\alpha)$ for some $\alpha<1$,…

Group Theory · Mathematics 2022-05-05 Laurent Bartholdi , Volodymyr Nekrashevych , Tianyi Zheng

For a public company, pricing and hedging models of options and equity--linked life insurance products have been sufficiently developed. However, for a private company, because of unobserved prices, pricing and hedging models of the…

Mathematical Finance · Quantitative Finance 2024-09-24 Battulga Gankhuu

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

Portfolio Management · Quantitative Finance 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

As with other commodities, markets could help us efficiently produce machine intelligence. We propose a market where intelligence is priced by other intelligence systems peer-to-peer across the internet. Peers rank each other by training…

Artificial Intelligence · Computer Science 2021-11-11 Yuma Rao , Jacob Steeves , Ala Shaabana , Daniel Attevelt , Matthew McAteer

Payment platforms have significantly evolved in recent years to keep pace with the proliferation of online and cashless payments. These platforms are increasingly aligned with online social networks, allowing users to interact with each…

Social and Information Networks · Computer Science 2022-10-21 Laura Arditti , Martino Trevisan , Luca Vassio , Alberto De Lazzari , Alberto Danese

The standard A/B testing approaches are mostly based on t-test in large scale industry applications. These standard approaches however suffers from low statistical power in business settings, due to nature of small sample-size or…

Methodology · Statistics 2025-12-30 Changshuai Wei , Phuc Nguyen , Benjamin Zelditch , Joyce Chen

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

We present a new methodology of computing incremental contribution for performance ratios for portfolio like Sharpe, Treynor, Calmar or Sterling ratios. Using Euler's homogeneous function theorem, we are able to decompose these performance…

Portfolio Management · Quantitative Finance 2019-01-23 Eric Benhamou , Beatrice Guez

It is offered to pool test points of different subjects and different aspects of the same subject together in order to get the unitary rating score, by the way of nonlinear transformation of indicator points in accordance with Zipf's…

Machine Learning · Computer Science 2007-05-23 Kromer Victor

principles that should govern autonomous AI systems. It essentially states that a system's goals and behaviour should be aligned with human values. But how to ensure value alignment? In this paper we first provide a formal model to…

Artificial Intelligence · Computer Science 2024-02-08 Carles Sierra , Nardine Osman , Pablo Noriega , Jordi Sabater-Mir , Antoni Perelló