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Decision-making methods very often use the technique of comparing alternatives in pairs. In this approach, experts are asked to compare different options, and then a quantitative ranking is created from the results obtained. It is commonly…

Artificial Intelligence · Computer Science 2025-04-21 M. Strada , K. Kułakowski

In participatory budgeting we are given a set of projects---each with a cost, an available budget, and a set of voters who in some form express their preferences over the projects. The goal is to select---based on voter preferences---a…

Multiagent Systems · Computer Science 2020-09-08 Piotr Skowron , Arkadii Slinko , Stanisław Szufa , Nimrod Talmon

Financial forecasting is a difficult task due to the intrinsic complexity of the financial system. In the present paper we relate our experience using neural nets as financial time series forecast method. In particular we show that a neural…

Disordered Systems and Neural Networks · Physics 2007-05-23 Filippo Castiglione

We formulate and study the algorithmic mechanism design problem for a general class of resource allocation settings, where the center redistributes the private resources brought by individuals. Money transfer is forbidden. Distinct from the…

Computer Science and Game Theory · Computer Science 2015-03-24 Qipeng Liu , Yicheng Liu , Pingzhong Tang

We employ network embedding to detect money laundering in financial transaction networks. Using real anonymized banking data, we model over one million accounts as a directed graph and use it to refine previously detected suspicious cycles…

Social and Information Networks · Computer Science 2025-09-16 Anthony Bonato , Adam Szava

We consider a strictly substochastic matrix or an stochastic matrix with absorbing states. By using quasi-stationary distributions one shows there is a canonical associated stationary Markov chain. Based upon $2-$stringing representation of…

Probability · Mathematics 2019-10-03 Servet Martínez

Motivated by theoretical advancements in dimensionality reduction techniques we use a recent model, called Block Markov Chains, to conduct a practical study of clustering in real-world sequential data. Clustering algorithms for Block Markov…

Machine Learning · Computer Science 2022-10-05 Alexander Van Werde , Albert Senen-Cerda , Gianluca Kosmella , Jaron Sanders

This short course offers a new perspective on randomized algorithms for matrix computations. It explores the distinct ways in which probability can be used to design algorithms for numerical linear algebra. Each design template is…

Numerical Analysis · Mathematics 2025-09-23 Anastasia Kireeva , Joel A. Tropp

The paper introduces a modified version of the classical Coupon Collector's Problem entailing exchanges and cooperation between multiple players. Results of the development show that, within a proper Markov framework, the complexity of the…

Discrete Mathematics · Computer Science 2009-12-15 R. Rovatti , C. Passerini , G. Mazzini

We develop a theory of weak Poincar\'e inequalities to characterize convergence rates of ergodic Markov chains. Motivated by the application of Markov chains in the context of algorithms, we develop a relevant set of tools which enable the…

Probability · Mathematics 2022-08-11 Christophe Andrieu , Anthony Lee , Sam Power , Andi Q. Wang

We introduce a new approach to incorporate uncertainty into the decision to invest in a commodity reserve. The investment is an irreversible one-off capital expenditure, after which the investor receives a stream of cashflow from extracting…

Mathematical Finance · Quantitative Finance 2018-07-31 Ali Al-Aradi , Alvaro Cartea , Sebastian Jaimungal

Behavioural economists have shown that people are often averse to inequality and will make choices to avoid unequal outcomes. In this paper, we consider how to allocate indivisible goods fairly so as to minimize inequality. We consider how…

Computer Science and Game Theory · Computer Science 2018-10-15 Martin Aleksandrov , Cunjing Ge , Toby Walsh

Consider a list of $n$ files whose popularities are random. These files are updated according to the move-to-front rule and we consider the induced Markov chain at equilibrium. We give the exact limiting distribution of the search-cost per…

Probability · Mathematics 2007-05-23 Javiera Barrera , Thierry Huillet , Christian Paroissin

We consider the approximation of the performance of random walks in the quarter-plane. The approximation is in terms of a random walk with a product-form stationary distribution, which is obtained by perturbing the transition probabilities…

Probability · Mathematics 2014-09-15 Jasper Goseling , Richard J. Boucherie , Jan-Kees van Ommeren

This paper studies the problem of optimally allocating a cash injection into a financial system in distress. Given a one-period borrower-lender network in which all debts are due at the same time and have the same seniority, we address the…

Risk Management · Quantitative Finance 2014-12-18 Zhang Li , Xiaojun Lin , Borja Peleato-Inarrea , Ilya Pollak

A tool to improve the effectiveness and the efficiency of public spending is proposed here. In the 19th century banknotes had a serial number. However, in modern days the use of digital transactions that do not use physical currency has…

General Economics · Economics 2024-04-23 Gonzalo Garcia-Atance Fatjo

This article presents a new model for demographic simulation which can be used to forecast and estimate the number of people in pension funds (contributors and retirees) as well as workers in a public institution. Furthermore, the model…

General Finance · Quantitative Finance 2018-01-16 Juan Jose Viquez , Alexander Campos , Jorge Loria , Luis Alfredo Mendoza , Jorge Aurelio Viquez

Markov Chain Monte Carlo (MCMC) methods have become a cornerstone of many modern scientific analyses by providing a straightforward approach to numerically estimate uncertainties in the parameters of a model using a sequence of random…

Other Statistics · Statistics 2020-03-10 Joshua S. Speagle

Bitcoin is firmly becoming a mainstream asset in our global society. Its highly volatile nature has traders and speculators flooding into the market to take advantage of its significant price swings in the hope of making money. This work…

Machine Learning · Computer Science 2021-10-29 Nathan Crone , Eoin Brophy , Tomas Ward

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

Optimization and Control · Mathematics 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini