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High-dimensional inference refers to problems of statistical estimation in which the ambient dimension of the data may be comparable to or possibly even larger than the sample size. We study an instance of high-dimensional inference in…

Statistics Theory · Mathematics 2009-12-31 Sahand Negahban , Martin J. Wainwright

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and the shape of the LOB. We present an empirical analysis showing that the type of the last order significantly alters the…

Trading and Market Microstructure · Quantitative Finance 2017-10-31 Federico Gonzalez , Mark Schervish

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

Generative models have gained significant attention in multivariate time series forecasting (MTS), particularly due to their ability to generate high-fidelity samples. Forecasting the probability distribution of multivariate time series is…

Machine Learning · Computer Science 2025-02-13 Shibo Feng , Peilin Zhao , Liu Liu , Pengcheng Wu , Zhiqi Shen

Understanding the micro-dynamics of asset prices in modern electronic order books is crucial for investors and regulators. In this paper, we use an order by order Eurostoxx database spanning over 3 years to analyze the joint dynamics of…

Statistical Finance · Quantitative Finance 2024-05-20 Salma Elomari-Kessab , Guillaume Maitrier , Julius Bonart , Jean-Philippe Bouchaud

Motivated by the practical challenge in monitoring the performance of a large number of algorithmic trading orders, this paper provides a methodology that leads to automatic discovery of the causes that lie behind a poor trading…

Trading and Market Microstructure · Quantitative Finance 2013-03-04 Robert Azencott , Arjun Beri , Yutheeka Gadhyan , Nicolas Joseph , Charles-Albert Lehalle , Matthew Rowley

Many real-world multi-label prediction problems involve set-valued predictions that must satisfy specific requirements dictated by downstream usage. We focus on a typical scenario where such requirements, separately encoding…

Machine Learning · Computer Science 2023-04-26 Zhen Lin , Shubhendu Trivedi , Cao Xiao , Jimeng Sun

Predictions of short-term directional movement of the futures contract can be challenging as its pricing is often based on multiple complex dynamic conditions. This work presents a method for predicting the short-term directional movement…

Statistical Finance · Quantitative Finance 2022-03-24 Yiyang Zheng

At the ultra high frequency level, the notion of price of an asset is very ambiguous. Indeed, many different prices can be defined (last traded price, best bid price, mid price,...). Thus, in practice, market participants face the problem…

Trading and Market Microstructure · Quantitative Finance 2013-04-15 Sylvain Delattre , Christian Y. Robert , Mathieu Rosenbaum

In B2B markets, value-based pricing and selling has become an important alternative to discounting. This study outlines a modeling method that uses customer data (product offers made to each current or potential customer, features,…

Econometrics · Economics 2023-08-16 John V. Colias , Stella Park , Elizabeth Horn

With the rapid growth of Internet services, recommendation systems play a central role in delivering personalized content. Faced with massive user requests and complex model architectures, the key challenge for real-time recommendation…

Information Retrieval · Computer Science 2025-08-14 Junli Shao , Jing Dong , Dingzhou Wang , Kowei Shih , Dannier Li , Chengrui Zhou

We present a modified version of the non parametric Hawkes kernel estimation procedure studied in arXiv:1401.0903 that is adapted to slowly decreasing kernels. We show on numerical simulations involving a reasonable number of events that…

Statistical Finance · Quantitative Finance 2014-12-30 Emmanuel Bacry , Thibault Jaisson , Jean-Francois Muzy

There is an opportunity in modern power systems to explore the demand flexibility by incentivizing consumers with dynamic prices. In this paper, we quantify demand flexibility using an efficient tool called time-varying elasticity, whose…

Machine Learning · Computer Science 2022-02-03 Guangchun Ruan , Daniel S. Kirschen , Haiwang Zhong , Qing Xia , Chongqing Kang

In continuous-choice settings, consumers decide not only on whether to purchase a product, but also on how much to purchase. Thus, firms optimize a full price schedule rather than a single price point. This paper provides a methodology to…

General Economics · Economics 2024-08-13 Soheil Ghili , Russ Yoon

High frequency financial data is burdened by a level of randomness that is unavoidable and obfuscates the task of modelling. This idea is reflected in the intraday evolution of limit orders book data for many financial assets and suggests…

Trading and Market Microstructure · Quantitative Finance 2021-10-15 Myles Sjogren , Timothy DeLise

Market by order (MBO) data - a detailed feed of individual trade instructions for a given stock on an exchange - is arguably one of the most granular sources of microstructure information. While limit order books (LOBs) are implicitly…

Trading and Market Microstructure · Quantitative Finance 2021-07-28 Zihao Zhang , Bryan Lim , Stefan Zohren

We develop further the spot volatility estimator introduced in Hoffmann, Munk and Schmidt-Hieber (2012) from a practical point of view and make it useful for the analysis of high-frequency financial data. In a first part, we adjust the…

Applications · Statistics 2013-09-25 Till Sabel , Johannes Schmidt-Hieber , Axel Munk

In the present work we demonstrate the application of different physical methods to high-frequency or tick-by-tick financial time series data. In particular, we calculate the Hurst exponent and inverse statistics for the price time series…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , F. Chan , D. Oliver , T. Di Matteo , T. Aste

Accurate demand forecasting in the retail industry is a critical determinant of financial performance and supply chain efficiency. As global markets become increasingly interconnected, businesses are turning towards advanced prediction…

Machine Learning · Computer Science 2023-08-24 Md Sabbirul Haque , Md Shahedul Amin , Jonayet Miah

Depending on the frequency range of interest, finite element-based modeling of acoustic problems leads to dynamical systems with very high dimensional state spaces. As these models can mostly be described with second order linear dynamical…

Numerical Analysis · Mathematics 2024-12-17 Siyang Hu , Nick Wulbusch , Alexey Chernov , Tamara Bechtold
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