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Learning graphical conditional independence structures is an important machine learning problem and a cornerstone of causal discovery. However, the accuracy and execution time of learning algorithms generally struggle to scale to problems…

Machine Learning · Computer Science 2023-10-30 Bryan Andrews , Joseph Ramsey , Ruben Sanchez-Romero , Jazmin Camchong , Erich Kummerfeld

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

Optimization and Control · Mathematics 2026-04-14 Tianxiao Sun , Noah Schwarzkopf

Gaussian Processes are widely used for regression tasks. A known limitation in the application of Gaussian Processes to regression tasks is that the computation of the solution requires performing a matrix inversion. The solution also…

Machine Learning · Computer Science 2017-08-22 Sourish Das , Sasanka Roy , Rajiv Sambasivan

This paper examines a trade execution game for two large traders in a generalized price impact model. We incorporate a stochastic and sequentially dependent factor that exogenously affects the market price into financial markets. Our model…

Trading and Market Microstructure · Quantitative Finance 2024-05-14 Masamitsu Ohnishi , Makoto Shimoshimizu

Fundamental variables in financial market are not only price and return but a very important role is also played by trading volumes. Here we propose a new multivariate model that takes into account price returns, logarithmic variation of…

Statistical Finance · Quantitative Finance 2020-07-14 Guglielmo D'Amico , Filippo Petroni

This study investigates the development of an optimal execution strategy through reinforcement learning, aiming to determine the most effective approach for traders to buy and sell inventory within a finite time horizon. Our proposed model…

Trading and Market Microstructure · Quantitative Finance 2025-11-04 Yadh Hafsi , Edoardo Vittori

Optimal order execution is widely studied by industry practitioners and academic researchers because it determines the profitability of investment decisions and high-level trading strategies, particularly those involving large volumes of…

Trading and Market Microstructure · Quantitative Finance 2020-09-15 Michaël Karpe , Jin Fang , Zhongyao Ma , Chen Wang

We propose a model for equity trading in a population of agents where each agent acts to achieve his or her target stock-to-bond ratio, and, as a feedback mechanism, follows a market adaptive strategy. In this model only a fraction of…

Trading and Market Microstructure · Quantitative Finance 2018-11-14 Misha Perepelitsa , Ilya Timofeyev

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes since they do not allow for proper predictability removal: for instance the exploitation of a single large trade whose size…

Physics and Society · Physics 2010-01-27 Damien Challet

We propose a macroscopic market making model \`a la Avellaneda-Stoikov, using continuous processes for orders instead of discrete point processes. The model intends to bridge the gap between market making and optimal execution problems,…

Mathematical Finance · Quantitative Finance 2025-04-08 Ivan Guo , Shijia Jin , Kihun Nam

We consider a task graph to be executed on a set of processors. We assume that the mapping is given, say by an ordered list of tasks to execute on each processor, and we aim at optimizing the energy consumption while enforcing a prescribed…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-03 Guillaume Aupy , Anne Benoit , Fanny Dufossé , Yves Robert

Motivated by the desire to bridge the gap between the microscopic description of price formation (agent-based modeling) and the stochastic differential equations approach used classically to describe price evolution at macroscopic time…

Trading and Market Microstructure · Quantitative Finance 2015-03-17 Frederic Abergel , Aymen Jedidi

In the past, financial stock markets have been studied with previous generations of multi-agent systems (MAS) that relied on zero-intelligence agents, and often the necessity to implement so-called noise traders to sub-optimally emulate…

Trading and Market Microstructure · Quantitative Finance 2019-10-14 J. Lussange , S. Bourgeois-Gironde , S. Palminteri , B. Gutkin

We address the problem of executing large client orders in continuous double-auction markets under time and liquidity constraints. We propose a model predictive control (MPC) framework that balances three competing objectives: order…

Trading and Market Microstructure · Quantitative Finance 2026-04-01 Thomas P. McAuliffe , Samuel Liew , Yuchao Li , Andrey Ushenin , Chihang Wang , Alexandros Tasos , Jack Pearce , Dimitris Tasoulis , Dimitri P. Bertsekas , Theodoros Tsagaris

Market participants regularly send bid and ask quotes to exchange-operated limit order books. This creates an optimization challenge where their potential profit is determined by their quoted price and how often their orders are…

Mathematical Finance · Quantitative Finance 2025-04-16 Chutian Ma , Giacinto Paolo Saggese , Paul Smith

In recent years, a wide range of investment models have been created using artificial intelligence. Automatic trading by artificial intelligence can expand the range of trading methods, such as by conferring the ability to operate 24 hours…

Trading and Market Microstructure · Quantitative Finance 2021-12-17 Koya Ishikawa , Kazuhide Nakata

We show that multivariate Hawkes processes coupled with the nonparametric estimation procedure first proposed in Bacry and Muzy (2015) can be successfully used to study complex interactions between the time of arrival of orders and their…

Trading and Market Microstructure · Quantitative Finance 2018-07-10 Marcello Rambaldi , Emmanuel Bacry , Fabrizio Lillo

We introduce the payload optimization method for federated recommender systems (FRS). In federated learning (FL), the global model payload that is moved between the server and users depends on the number of items to recommend. The model…

Machine Learning · Computer Science 2021-07-29 Farwa K. Khan , Adrian Flanagan , Kuan E. Tan , Zareen Alamgir , Muhammad Ammad-Ud-Din

It is a challenging task to identify the best possible models based on given empirical data of observed time series. Though the financial markets provide us with a vast amount of empirical data, the best model selection is still a big…

Statistical Finance · Quantitative Finance 2021-11-05 Vygintas Gontis

Recently, most stock exchanges in the U.S. employ maker-taker fees, in which an exchange pays rebates to traders placing orders in the order book and charges fees to traders taking orders from the order book. Maker-taker fees encourage…

Trading and Market Microstructure · Quantitative Finance 2020-10-20 Isao Yagi , Mahiro Hoshino , Takanobu Mizuta
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