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Motivated by the dynamic assortment offerings and item pricings occurring in e-commerce, we study a general problem of allocating finite inventories to heterogeneous customers arriving sequentially. We analyze this problem under the…

Data Structures and Algorithms · Computer Science 2019-05-14 Will Ma , David Simchi-Levi

High-frequency trading is prevalent, where automated decisions must be made quickly to take advantage of price imbalances and patterns in price action that forecast near-future movements. While many algorithms have been explored and tested,…

Computational Finance · Quantitative Finance 2023-11-07 Koti S. Jaddu , Paul A. Bilokon

We propose an analytically tractable class of models for the dynamics of a limit order book, described through a stochastic partial differential equation (SPDE) with multiplicative noise for the order book centered at the mid-price, along…

Trading and Market Microstructure · Quantitative Finance 2021-05-19 Rama Cont , Marvin S. Mueller

The Heston stochastic volatility model is a widely used tool in financial mathematics for pricing European options. However, its calibration remains computationally intensive and sensitive to local minima due to the model's nonlinear…

Analysis of PDEs · Mathematics 2026-04-21 Arman Zadgar , Somayeh Fallah , Farshid Mehrdoust , Juan E. Trinidad Segovia

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

The prediction of financial markets is a challenging yet important task. In modern electronically-driven markets, traditional time-series econometric methods often appear incapable of capturing the true complexity of the multi-level…

Econometrics · Economics 2023-02-01 Martin Magris , Mostafa Shabani , Alexandros Iosifidis

One popular approach to model the limit order books dynamics of the best bid and ask at level-1 is to use the reduced-form diffusion approximations. It is well known that the biggest contributing factor to the price movement is the…

Trading and Market Microstructure · Quantitative Finance 2016-12-13 Tzu-Wei Yang , Lingjiong Zhu

Selectivity estimation aims at estimating the number of database objects that satisfy a selection criterion. Answering this problem accurately and efficiently is essential to many applications, such as density estimation, outlier detection,…

Databases · Computer Science 2021-05-28 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Rui Mao , Onizuka Makoto , Wei Wang , Rui Zhang , Yoshiharu Ishikawa

We consider dynamic pricing with many products under an evolving but low-dimensional demand model. Assuming the temporal variation in cross-elasticities exhibits low-rank structure based on fixed (latent) features of the products, we show…

Machine Learning · Computer Science 2019-09-12 Jonas Mueller , Vasilis Syrgkanis , Matt Taddy

We propose a method for constructing sparse high-frequency volatility estimators that are robust against change points in the spot volatility process. The estimators we propose are $\ell_1$-regularized versions of existing volatility…

Statistical Finance · Quantitative Finance 2024-07-02 Greeshma Balabhadra , El Mehdi Ainasse , Pawel Polak

Errors or failures in a high-volume manufacturing environment can have significant impact that can result in both the loss of time and money. Identifying such failures early has been a top priority for manufacturing industries and various…

Machine Learning · Computer Science 2024-07-15 Siddarth Reddy Karuka , Abhinav Sunderrajan , Zheng Zheng , Yong Woon Tiean , Ganesh Nagappan , Allan Luk

This paper develops a model of liquidity provision in financial markets by adapting the Madhavan, Richardson, and Roomans (1997) price formation model to realistic order books with quote discretization and liquidity rebates. We postulate…

Trading and Market Microstructure · Quantitative Finance 2016-08-08 Julius Bonart , Fabrizio Lillo

A technique for on-line estimation of spot volatility for high-frequency data is developed. The algorithm works directly on the transaction data and updates the volatility estimate immediately after the occurrence of a new transaction.…

Methodology · Statistics 2013-01-15 Rainer Dahlhaus , Jan C. Neddermeyer

We propose an interpretable machine learning framework to help identify trade data discrepancies that are challenging to detect with traditional methods. Our system analyzes trade data to find a novel inverse price-volume signature, a…

General Economics · Economics 2025-11-13 Muhammad Sukri Bin Ramli

We investigate whether the bid/ask queue imbalance in a limit order book (LOB) provides significant predictive power for the direction of the next mid-price movement. We consider this question both in the context of a simple binary…

Trading and Market Microstructure · Quantitative Finance 2015-12-14 Martin D. Gould , Julius Bonart

This paper develops a general approach, rooted in statistical learning theory, to learning an approximately revenue-maximizing auction from data. We introduce $t$-level auctions to interpolate between simple auctions, such as welfare…

Computer Science and Game Theory · Computer Science 2015-06-12 Jamie Morgenstern , Tim Roughgarden

An approximation method for construction of optimal strategies in the bid \& ask limit order book in the high-frequency trading (HFT) is studied. The basis is the article by M. Avellaneda \& S. Stoikov 2008, in which certain seemingly…

Trading and Market Microstructure · Quantitative Finance 2025-10-21 M. I. Balakaeva , A. Yu. Veretennikov

We study an online market-making problem in which a learner sequentially posts bid and ask prices for a single asset while interacting with traders holding private valuations. Unlike existing online learning formulations that assume fully…

Machine Learning · Computer Science 2026-05-20 Davide Maran , Marcello Restelli

With the increase of order fulfillment options and business objectives taken into consideration in the deciding process, order fulfillment deciding is becoming more and more complex. For example, with the advent of ship from store retailers…

Machine Learning · Computer Science 2022-01-02 Brian Quanz , Ajay Deshpande , Dahai Xing , Xuan Liu

The existing literature provides evidence that limit order book data can be used to predict short-term price movements in stock markets. This paper proposes a new neural network architecture for predicting return jump arrivals in equity…

Trading and Market Microstructure · Quantitative Finance 2021-09-17 Ymir Mäkinen , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis
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