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In this paper we develop a Bayesian procedure for estimating multivariate stochastic volatility (MSV) using state space models. A multiplicative model based on inverted Wishart and multivariate singular beta distributions is proposed for…

统计金融 · 定量金融 2008-12-02 Kostas Triantafyllopoulos , Giovanni Montana

Estimating probabilistic deformable template models is a new approach in the fields of computer vision and probabilistic atlases in computational anatomy. A first coherent statistical framework modelling the variability as a hidden random…

统计计算 · 统计学 2009-01-16 Stéphanie Allassonnière , Estelle Kuhn

We propose a novel framework for solving continuous-time non-Markovian stochastic control problems by means of neural rough differential equations (Neural RDEs) introduced in Morrill et al. (2021). Non-Markovianity naturally arises in…

In this paper, we develop a kernel learning backward SDE filter method to estimate the state of a stochastic dynamical system based on its partial noisy observations. A system of forward backward stochastic differential equations is used to…

数值分析 · 数学 2022-01-27 Richard Archibald , Feng Bao

Deep learning-based multivariate and multistep-ahead traffic forecasting models are typically trained with the mean squared error (MSE) or mean absolute error (MAE) as the loss function in a sequence-to-sequence setting, simply assuming…

机器学习 · 计算机科学 2026-01-28 Seongjin Choi , Nicolas Saunier , Vincent Zhihao Zheng , Martin Trepanier , Lijun Sun

Density tempering (also called density annealing) is a sequential Monte Carlo approach to Bayesian inference for general state models; it is an alternative to Markov chain Monte Carlo. When applied to state space models, it moves a…

统计方法学 · 统计学 2022-04-05 David Gunawan , Robert Kohn , Minh Ngoc Tran

Visual tracking fundamentally involves regressing the state of the target in each frame of a video. Despite significant progress, existing regression-based trackers still tend to experience failures and inaccuracies. To enhance the…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Zhuang Qi , Junlin Zhang , Xin Qi

This paper presents a novel dynamic network autoregressive conditional heteroscedasticity (ARCH) model based on spatiotemporal ARCH models to forecast volatility in the US stock market. To improve the forecasting accuracy, the model…

应用统计 · 统计学 2023-03-21 Raffaele Mattera , Philipp Otto

Aggregate load modeling is of fundamental importance for systematic analysis and design of various demand response strategies. Instead of keeping track of the trajectories of individual loads, the aggregate modeling problem focuses on…

系统与控制 · 计算机科学 2017-08-22 Lin Zhao , Wei Zhang

We propose Neural GARCH, a class of methods to model conditional heteroskedasticity in financial time series. Neural GARCH is a neural network adaptation of the GARCH 1,1 model in the univariate case, and the diagonal BEKK 1,1 model in the…

机器学习 · 计算机科学 2022-02-24 Zexuan Yin , Paolo Barucca

A comprehensive review of the literature on manoeuvring target tracking for both uncluttered and cluttered measurements is presented. Various discrete-time dynamical models including non-random input, random-input and switching or hybrid…

系统与控制 · 计算机科学 2015-03-27 Graham W. Pulford

Distributed stochastic gradient descent (SGD) has attracted considerable recent attention due to its potential for scaling computational resources, reducing training time, and helping protect user privacy in machine learning. However, the…

机器学习 · 计算机科学 2025-02-27 Siyuan Yu , Wei Chen , H. Vincent Poor

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

机器学习 · 计算机科学 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

It is critical yet challenging for deep learning models to properly characterize uncertainty that is pervasive in real-world environments. Although a lot of efforts have been made, such as heteroscedastic neural networks (HNNs), little work…

机器学习 · 计算机科学 2021-03-30 Peng Cui , Zhijie Deng , Wenbo Hu , Jun Zhu

This paper aims to more effectively manage and mitigate stock market risks by accurately characterizing financial market returns and volatility. We enhance the Stochastic Volatility (SV) model by incorporating fat-tailed distributions and…

应用统计 · 统计学 2024-12-31 Minheng Xiao

Several studies explore inferences based on stochastic volatility (SV) models, taking into account the stylized facts of return data. The common problem is that the latent parameters of many volatility models are high-dimensional and…

统计金融 · 定量金融 2018-09-06 T. R. Santos

Christoffersen, Jacobs, Ornthanalai, and Wang (2008) (CJOW) proposed an improved Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model for valuing European options, where the return volatility is comprised of two distinct…

计量经济学 · 经济学 2024-10-21 Luca Vincenzo Ballestra , Enzo D'Innocenzo , Christian Tezza

We consider a unifying framework for stochastic control problem including the following features: partial observation, path-dependence (both with respect to the state and the control), and without any non-degeneracy condition on the…

概率论 · 数学 2016-09-14 Elena Bandini , Andrea Cosso , Marco Fuhrman , Huyên Pham

Generating synthetic financial time series that preserve the statistical properties of real market data is essential for stress testing, risk model validation, and scenario design. Existing approaches struggle to simultaneously reproduce…

统计金融 · 定量金融 2026-04-03 Abdulrahman Alswaidan , Jeffrey D. Varner

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu