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We introduce a method for learning the dynamics of complex nonlinear systems based on deep generative models over temporal segments of states and actions. Unlike dynamics models that operate over individual discrete timesteps, we learn the…

机器学习 · 计算机科学 2017-07-14 Nikhil Mishra , Pieter Abbeel , Igor Mordatch

In this paper we develop a novel hidden Markov graphical model to investigate time-varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and…

统计方法学 · 统计学 2024-12-06 Beatrice Foroni , Luca Merlo , Lea Petrella

Conditional differential entropy provides an intuitive measure for relatively ranking time-series complexity by quantifying uncertainty in future observations given past context. However, its direct computation for high-dimensional…

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of…

交易与市场微观结构 · 定量金融 2014-01-13 Shilei Wang

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

机器学习 · 计算机科学 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

Time series graphical models have recently received considerable attention for characterizing (conditional) dependence structures in multivariate time series. In many applications, the multivariate series exhibit variable-partitioned…

统计方法学 · 统计学 2026-04-09 Qin Fang , Xinghao Qiao , Zihan Wang

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…

交易与市场微观结构 · 定量金融 2021-10-15 Myles Sjogren , Timothy DeLise

Point processes offer a versatile framework for sequential event modeling. However, the computational challenges and constrained representational power of the existing point process models have impeded their potential for wider…

机器学习 · 统计学 2025-01-22 Zheng Dong , Zekai Fan , Shixiang Zhu

The article describes the use of deep Q-learning models in the problems of sales time series analytics. In contrast to supervised machine learning which is a kind of passive learning using historical data, Q-learning is a kind of active…

机器学习 · 计算机科学 2022-01-07 Bohdan M. Pavlyshenko

In this paper, we explore the class of the Hidden Semi-Markov Model (HSMM), a flexible extension of the popular Hidden Markov Model (HMM) that allows the underlying stochastic process to be a semi-Markov chain. HSMMs are typically used less…

应用统计 · 统计学 2023-01-26 Patrick Aschermayr , Konstantinos Kalogeropoulos

We consider a financial market in discrete time and study pricing and hedging conditional on the information available up to an arbitrary point in time. In this conditional framework, we determine the structure of arbitrage-free prices.…

数理金融 · 定量金融 2023-05-15 Lars Niemann , Thorsten Schmidt

Regularly varying space-time processes have proved useful to study extremal dependence in space-time data. We propose a semiparametric estimation procedure based on a closed form expression of the extremogram to estimate parametric models…

统计方法学 · 统计学 2018-07-17 Sven Buhl , Richard A. Davis , Claudia Klüppelberg , Christina Steinkohl

This paper presents a stochastic model predictive controller (SMPC) for linear time-invariant systems in the presence of additive disturbances. The distribution of the disturbance is unknown and is assumed to have a bounded support. A…

系统与控制 · 电气工程与系统科学 2022-10-03 Hotae Lee , Monimoy Bujarbaruah , Francesco Borrelli

We extend flow matching to ensembles of linear systems in both deterministic and stochastic settings. Averaging over system parameters induces memory leading to a non-Markovian interpolation problem for the stochastic case. In this setting,…

最优化与控制 · 数学 2025-10-17 Daniel Owusu Adu , Yongxin Chen

When considering the problem of forecasting a continuous-time stochastic process over an entire time-interval in terms of its recent past, the notion of Autoregressive Hilbert space processes (ARH) arises. This model can be seen as a…

统计方法学 · 统计学 2013-02-15 Jairo Cugliari

The mean-variance portfolio model, based on the risk-return trade-off for optimal asset allocation, remains foundational in portfolio optimization. However, its reliance on restrictive assumptions about asset return distributions limits its…

投资组合管理 · 定量金融 2025-04-17 Savita Pareek , Sujit K. Ghosh

We propose a novel machine learning approach for probabilistic forecasting of hourly day-ahead electricity prices. In contrast with the recent advances in data-rich probabilistic forecasting, which approximates distributions with few…

综合经济学 · 经济学 2025-07-04 Jozef Barunik , Lubos Hanus

It has been suggested that marked point processes might be good candidates for the modelling of financial high-frequency data. A special class of point processes, Hawkes processes, has been the subject of various investigations in the…

交易与市场微观结构 · 定量金融 2019-08-23 Ioane Muni Toke

Intermittency is a common and challenging problem in demand forecasting. We introduce a new, unified framework for building intermittent demand forecasting models, which incorporates and allows to generalize existing methods in several…

机器学习 · 计算机科学 2020-10-06 Ali Caner Turkmen , Tim Januschowski , Yuyang Wang , Ali Taylan Cemgil

Motivated by the application of real-time pricing in e-commerce platforms, we consider the problem of revenue-maximization in a setting where the seller can leverage contextual information describing the customer's history and the product's…

机器学习 · 计算机科学 2019-08-13 Virag Shah , Jose Blanchet , Ramesh Johari