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This paper presents an algorithm for approximating certain types of dynamical systems given by a system of ordinary delay differential equations by a Boolean network model. Often Boolean models are much simpler to understand than complex…

Molecular Networks · Quantitative Biology 2011-05-10 Franziska Hinkelmann , Reinhard Laubenbacher

We review the evidence that the erratic dynamics of markets is to a large extent of endogenous origin, i.e. determined by the trading activity itself and not due to the rational processing of exogenous news. In order to understand why and…

Statistical Finance · Quantitative Finance 2010-09-16 Jean-Philippe Bouchaud

In this paper, we consider a distributionally robust resource planning model inspired by a real-world service industry problem. In this problem, there is a mixture of known demand and uncertain future demand. Prior to having full knowledge…

Optimization and Control · Mathematics 2022-07-07 Ben Black , Russell Ainslie , Trivikram Dokka , Christopher Kirkbride

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

General Economics · Economics 2023-02-07 Niels Gillmann , Ostap Okhrin

Mobility-on-demand (MoD) systems represent a rapidly developing mode of transportation wherein travel requests are dynamically handled by a coordinated fleet of vehicles. Crucially, the efficiency of an MoD system highly depends on how well…

Machine Learning · Statistics 2022-05-05 Daniele Gammelli , Filipe Rodrigues

Physical risks, such as droughts, floods, rising temperatures, earthquakes, infrastructure failures, and geopolitical conflicts, can ripple through global supply chains, raising costs, and constraining production across industries.…

Physics and Society · Physics 2025-04-25 Jichu Han , Lina Wang , Richard Bookstaber , Dhruv Sharma

Models for predicting the time of a future event are crucial for risk assessment, across a diverse range of applications. Existing time-to-event (survival) models have focused primarily on preserving pairwise ordering of estimated event…

Machine Learning · Statistics 2021-01-14 Paidamoyo Chapfuwa , Chenyang Tao , Lawrence Carin , Ricardo Henao

We consider the problem of preparing for a disaster season by determining where to open warehouses and how much relief item inventory to preposition in each. Then, after each disaster, prepositioned items are distributed to demand nodes…

Optimization and Control · Mathematics 2022-07-04 Karmel S. Shehadeh , Emily L. Tucker

The estimation of marginal loan write-off probabilities is a non-trivial task when modelling the loss given default (LGD) risk parameter in credit risk. We explore two types of survival models in estimating the overall write-off probability…

Risk Management · Quantitative Finance 2026-03-13 Arno Botha , Mohammed Gabru , Marcel Muller , Janette Larney

Equity auctions display several distinctive characteristics in contrast to continuous trading. As the auction time approaches, the rate of events accelerates causing a substantial liquidity buildup around the indicative price. This, in…

Trading and Market Microstructure · Quantitative Finance 2025-05-05 Mohammed Salek , Damien Challet , Ioane Muni Toke

In this study we examine the evolution of price, volume, and the bid-ask spread after extreme 15 minute intraday price changes on the NYSE and the NASDAQ. We find that due to strong behavioral trading there is an overreaction. Furthermore…

Statistical Mechanics · Physics 2009-11-10 A. G. Zawadowski , J. Kertesz , G. Andor

The growing prevalence of drift and shocks in modern decision environments exposes a gap between classical optimization theory and real-world practice. Standard models assume fixed objectives, yet organizations from hospitals to power grids…

Computational Finance · Quantitative Finance 2025-09-18 JINHO CHA

Survival extropy, which quantifies the uncertainty associated with the remaining lifetime distribution, provides an information-theoretic perspective on survival behavior. We consider a divergence measure based on survival extropy and…

Statistics Theory · Mathematics 2025-12-03 Naresh Garg , Isha Dewan , Sudheesh Kumar Kattumannil

Anomalous diffusions arise as scaling limits of continuous-time random walks (CTRWs) whose innovation times are distributed according to a power law. The impact of a non-exponential waiting time does not vanish with time and leads to…

Pricing of Securities · Quantitative Finance 2020-04-13 Antoine Jacquier , Lorenzo Torricelli

Bid-ask spread is taken as an important measure of the financial market liquidity. In this article, we study the dynamics of the spread return and the spread volatility of four liquid stocks in the Chinese stock market, including the memory…

Statistical Finance · Quantitative Finance 2015-05-30 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Run Wu

We propose a unified mean-field framework that bridges the dynamics of informal financial markets and formal markets governed by Limit Order Books (LOBs). Both settings are modeled as interacting particle systems on a 1D price lattice, with…

Statistical Mechanics · Physics 2025-12-05 Alvaro Navarro-Rubio , Alejandro Lage-Castellanos

The statistics of persistent events, recently introduced in the context of phase ordering dynamics, is investigated in the case of the 1D lattice random walk in discrete time. We determine the survival probability of the random walker in…

Statistical Mechanics · Physics 2015-06-25 M. Bauer , C. Godreche , J. M. Luck

We introduce an online mathematical framework for survival analysis, allowing real time adaptation to dynamic environments and censored data. This framework enables the estimation of event time distributions through an optimal second order…

Machine Learning · Computer Science 2024-02-09 Camila Fernandez , Pierre Gaillard , Joseph de Vilmarest , Olivier Wintenberger

Survival prediction often involves estimating the time-to-event distribution from censored datasets. Previous approaches have focused on enhancing discrimination and marginal calibration. In this paper, we highlight the significance of…

Machine Learning · Computer Science 2025-03-25 Shi-ang Qi , Yakun Yu , Russell Greiner

In many real-world sequential decision-making problems, an action does not immediately reflect on the feedback and spreads its effects over a long time frame. For instance, in online advertising, investing in a platform produces an…

Machine Learning · Computer Science 2023-05-31 Marco Mussi , Alberto Maria Metelli , Marcello Restelli