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We discuss an online decentralized decision making problem where the agents are coupled with affine inequality constraints. Alternating Direction Method of Multipliers (ADMM) is used as the computation engine and we discuss the convergence…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Yuxiao Chen , Mario Santillo , Mrdjan Jankovic , Aaron D. Ames

With the rapid growth in the fashion e-commerce industry, it is becoming extremely challenging for the E-tailers to set an optimal price point for all the products on the platform. By establishing an optimal price point, they can maximize…

Machine Learning · Computer Science 2020-08-25 Sajan Kedia , Samyak Jain , Abhishek Sharma

In this paper, we describe a novel agent-based approach for modelling the transaction cost of buying or selling an asset in financial markets, e.g., to liquidate a large position as a result of a margin call to meet financial obligations.…

Trading and Market Microstructure · Quantitative Finance 2025-05-22 Perukrishnen Vytelingum , Rory Baggott , Namid Stillman , Jianfei Zhang , Dingqiu Zhu , Tao Chen , Justin Lyon

In day-ahead electricity markets based on uniform marginal pricing, small variations in the offering and bidding curves may substantially modify the resulting market outcomes. In this work, we deal with the problem of finding the optimal…

Applications · Statistics 2024-07-01 António Alcántara , Carlos Ruiz

When trading American and Asian options in the FX derivatives market, banks must calculate prices using a complex mathematical model. It is often observed that different models produce varying prices for the same exotic option, which…

Pricing of Securities · Quantitative Finance 2023-04-24 Dongli Wu , Bufan Zhang , Xiao Lin

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discretization of Partial Differential Equations (PDEs). The most…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Paola F. Antonietti , Luca Dede'

The ability to construct a realistic simulator of financial exchanges, including reproducing the dynamics of the limit order book, can give insight into many counterfactual scenarios, such as a flash crash, a margin call, or changes in…

Machine Learning · Computer Science 2023-11-28 Namid R. Stillman , Rory Baggott , Justin Lyon , Jianfei Zhang , Dingqiu Zhu , Tao Chen , Perukrishnen Vytelingum

Efficient markets are characterised by profit-driven participants continuously refining their positions towards the latest insights. Margins for profit generation are generally small, shaping a difficult landscape for automated trading…

Computational Engineering, Finance, and Science · Computer Science 2025-04-16 Robin Bruneel , Mathijs Schuurmans , Panagiotis Patrinos

Free-energy-based adaptive biasing methods, such as Metadynamics, the Adaptive Biasing Force (ABF) and their variants, are enhanced sampling algorithms widely used in molecular simulations. Although their efficiency has been empirically…

Probability · Mathematics 2026-01-29 Tony Lelièvre , Xuyang Lin , Pierre Monmarché

An increasing number of emerging applications, e.g., internet of things, vehicular communications, augmented reality, and the growing complexity due to the interoperability requirements of these systems, lead to the need to change the tools…

Multiagent Systems · Computer Science 2019-01-16 Merim Dzaferagic , M. Majid Butt , Maria Murphy , Nicholas Kaminski , Nicola Marchetti

In order to overcome the drawbacks of assuming deterministic volatility coefficients in the standard LIBOR market models to capture volatility smiles and skews in real markets, several extensions of LIBOR models to incorporate stochastic…

Pricing of Securities · Quantitative Finance 2024-08-06 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

The alternating direction method of multipliers (ADMM) is a versatile tool for solving a wide range of constrained optimization problems, with differentiable or non-differentiable objective functions. Unfortunately, its performance is…

Machine Learning · Computer Science 2017-07-20 Zheng Xu , Mario A. T. Figueiredo , Tom Goldstein

We demonstrate the application of an algorithmic trading strategy based upon the recently developed dynamic mode decomposition (DMD) on portfolios of financial data. The method is capable of characterizing complex dynamical systems, in this…

Computational Finance · Quantitative Finance 2015-08-20 Jordan Mann , J. Nathan Kutz

We address the liquidation problem arising from the credit risk management in decentralised finance (DeFi) by formulating it as an ergodic optimal control problem. In decentralised derivatives exchanges, liquidation is triggered whenever…

Trading and Market Microstructure · Quantitative Finance 2024-12-02 Jialun Cao , David Šiška

We develop an arbitrage-free deep learning framework for yield curve and bond price forecasting based on the Heath-Jarrow-Morton (HJM) term-structure model and a dynamic Nelson-Siegel parameterization of forward rates. Our approach embeds a…

Mathematical Finance · Quantitative Finance 2025-11-25 Xiang Gao , Cody Hyndman

Liquidity providers (LPs) are essential figures in the operation of automated market makers (AMMs); in exchange for transaction fees, LPs lend the liquidity that allows AMMs to operate. While many prior works have studied the incentive…

Computer Science and Game Theory · Computer Science 2025-09-22 Bruno Llacer Trotti , Weizhao Tang , Rachid El-Azouzi , Giulia Fanti , Daniel Sadoc Menasche

We consider a portfolio optimization problem in a defaultable market with finitely-many economical regimes, where the investor can dynamically allocate her wealth among a defaultable bond, a stock, and a money market account. The market…

Portfolio Management · Quantitative Finance 2011-09-07 Agostino Capponi , Jose E. Figueroa-Lopez

This paper deals with an optimal position management problem for a market maker who has to face uncertain customer order flows in an illiquid market, where the market maker's continuous trading incurs a stochastic linear price impact.…

Pricing of Securities · Quantitative Finance 2015-09-08 Masaaki Fujii

Price benchmarks are used to incorporate market price trends into contracts, but their use can create opportunities for manipulation by parties involved in the contract. This paper examines this issue using a realistic and tractable model…

Trading and Market Microstructure · Quantitative Finance 2025-06-30 Ángel Hernando-Veciana
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