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Finding a good compromise between the exploitation of known resources and the exploration of unknown, but potentially more profitable choices, is a general problem, which arises in many different scientific disciplines. We propose a…

Disordered Systems and Neural Networks · Physics 2016-10-28 Thomas Gueudré , Alexander Dobrinevski , Jean-Philippe Bouchaud

This paper investigates the online conversion problem, which involves sequentially trading a divisible resource (e.g., energy) under dynamically changing prices to maximize profit. A key challenge in online conversion is managing decisions…

Data Structures and Algorithms · Computer Science 2025-02-07 Yanzhao Wang , Hasti Nourmohammadi Sigaroudi , Bo Sun , Omid Ardakanian , Xiaoqi Tan

Identifying optimal basic feasible solutions to linear programming problems is a critical task for mixed integer programming and other applications. The crossover method, which aims at deriving an optimal extreme point from a suboptimal…

Optimization and Control · Mathematics 2025-12-23 Dongdong Ge , Chengwenjian Wang , Zikai Xiong , Yinyu Ye

Trailing stop is a popular stop-loss trading strategy by which the investor will sell the asset once its price experiences a pre-specified percentage drawdown. In this paper, we study the problem of timing buy and then sell an asset subject…

Mathematical Finance · Quantitative Finance 2019-03-26 Tim Leung , Hongzhong Zhang

For a given level of accuracy in option prices, the paper considers the problem of deciding when exactly, as one or more of the pricing parameters change, a barrier option degenerates into a simpler type of option. This problem is…

Pricing of Securities · Quantitative Finance 2008-12-02 J. C. Ndogmo

Coal blending is a critically important process in the coal mining industry as it directly influences the number of product tonnes and the total revenue generated by a mine site. Coal blending represents a challenging and complex problem…

Other Computer Science · Computer Science 2014-05-27 James Whitacre , Sven Schellenberg , Antony Iorio

In this paper, we introduce a family of sequential decision-making problems, collectively termed the Keychain Problem, that involve exploring a set of actions to maximize expected payoff when only a subset of actions are available in each…

Computer Science and Game Theory · Computer Science 2026-02-13 Ramiro N. Deo-Campo Vuong , Robert Kleinberg , Aditya Prasad , Eric Xiao , Haifeng Xu

After a market downturn, especially in an uncertain economic environment such as the current state, there can be a relatively long period with a sideways market, where indexes, stocks, etc., move in channels with support and resistance…

Pricing of Securities · Quantitative Finance 2020-06-26 Zura Kakushadze

We introduce a formal model of transportation in an open-pit mine for the purpose of optimising the mine's operations. The model is a network of Markov automata (MA); the optimisation goal corresponds to maximising a time-bounded expected…

Formal Languages and Automata Theory · Computer Science 2024-12-10 Carlos E. Budde , Pedro R. D'Argenio , Arnd Hartmanns

We study the problem of deciding whether, and when an organization should replace a trained incumbent model with a challenger relying on newly available features. We develop a unified economic and statistical framework that links…

Machine Learning · Computer Science 2025-12-23 Vassilis Digalakis , Christophe Pérignon , Sébastien Saurin , Flore Sentenac

Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

Statistical Mechanics · Physics 2015-09-16 Luís F. Seoane , Ricard V. Solé

This paper studies the timing of trades under mean-reverting price dynamics subject to fixed transaction costs. We solve an optimal double stopping problem to determine the optimal times to enter and subsequently exit the market, when…

Trading and Market Microstructure · Quantitative Finance 2015-04-21 Tim Leung , Xin Li , Zheng Wang

In terms of the concepts of state and state transition, a new heuristic random search algorithm named state transition algorithm is proposed. For continuous function optimization problems, four special transformation operators called…

Optimization and Control · Mathematics 2013-12-10 Xiaojun Zhou , Chunhua Yang , Weihua Gui

This brief paper summarize the chances offered by the Peak-Over-Threshold method, related with analysis of extremes. Identification of appropriate Value at Risk can be solved by fitting data with a Generalized Pareto Distribution. Also an…

Applications · Statistics 2015-09-04 Gianluca Rosso

The paper considers an investment timing problem appearing in real options theory. Present values from an investment project are modeled by general diffusion process. We prove necessary and sufficient conditions under which an optimal…

Mathematical Finance · Quantitative Finance 2015-11-23 Vadim Arkin , Alexander Slastnikov

This paper studies an open question in the warehouse problem where a merchant trading a commodity tries to find an optimal inventory-trading policy to decide on purchase and sale quantities during a fixed time horizon in order to maximize…

Data Structures and Algorithms · Computer Science 2023-02-24 Ishan Bansal , Oktay Günlük

The Coin Change problem, also known as the Change-Making problem, is a well-studied combinatorial optimization problem, which involves minimizing the number of coins needed to make a specific change amount using a given set of coin…

Computational Complexity · Computer Science 2024-11-28 Shreya Gupta , Boyang Huang , Russell Impagliazzo

Many evaluation methods exist, each for a particular prediction task, and there are a number of prediction tasks commonly performed including classification and regression. In binarised regression, binary decisions are generated from a…

Machine Learning · Computer Science 2020-08-18 Matthew Dirks , David Poole

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

The problem of optimal switching between nonlinear autonomous subsystems is investigated in this study where the objective is not only bringing the states to close to the desired point, but also adjusting the switching pattern, in the sense…

Systems and Control · Computer Science 2014-11-19 Ali Heydari