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In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features…

机器学习 · 计算机科学 2020-11-25 Charilaos Mylonas , Eleni Chatzi

Learning-based model predictive control (MPC) can enhance control performance by correcting for model inaccuracies, enabling more precise state trajectory predictions than traditional MPC. A common approach is to model unknown residual…

系统与控制 · 电气工程与系统科学 2026-03-19 Lars Bartels , Amon Lahr , Andrea Carron , Melanie N. Zeilinger

We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

机器学习 · 统计学 2026-04-13 Gerardo Duran-Martin

This manuscript develops computationally efficient online learning for multivariate spatiotemporal models. The method relies on matrix-variate Gaussian distributions, dynamic linear models, and Bayesian predictive stacking to efficiently…

统计方法学 · 统计学 2026-02-10 Luca Presicce , Sudipto Banerjee

Long-tailed classification is challenging due to its heavy imbalance in class probabilities. While existing methods often focus on overall accuracy or accuracy for tail classes, they overlook a critical aspect: certain types of errors can…

机器学习 · 计算机科学 2025-01-27 Bolian Li , Ruqi Zhang

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

机器人学 · 计算机科学 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang

Recent developments in statistical regression methodology shift away from pure mean regression towards distributional regression models. One important strand thereof is that of conditional transformation models (CTMs). CTMs infer the entire…

统计方法学 · 统计学 2022-05-24 Manuel Carlan , Thomas Kneib , Nadja Klein

Latent position network models are a versatile tool in network science; applications include clustering entities, controlling for causal confounders, and defining priors over unobserved graphs. Estimating each node's latent position is…

统计计算 · 统计学 2021-11-05 Neil A. Spencer , Brian Junker , Tracy M. Sweet

We propose a parsimonious quantile regression framework to learn the dynamic tail behaviors of financial asset returns. Our model captures well both the time-varying characteristic and the asymmetrical heavy-tail property of financial time…

风险管理 · 定量金融 2020-10-19 Xing Yan , Weizhong Zhang , Lin Ma , Wei Liu , Qi Wu

We consider Bayesian inverse problems wherein the unknown state is assumed to be a function with discontinuous structure a priori. A class of prior distributions based on the output of neural networks with heavy-tailed weights is…

机器学习 · 计算机科学 2021-12-21 Chen Li , Matthew Dunlop , Georg Stadler

Deep learning is a popular machine learning approach which has achieved a lot of progress in all traditional machine learning areas. Internet of thing (IoT) and Smart City deployments are generating large amounts of time-series sensor data…

网络与互联网体系结构 · 计算机科学 2021-04-15 Xiaofeng Xie , Di Wu , Siping Liu , Renfa Li

Multivariate Time Series Forecasting (MTSF) plays a crucial role across diverse fields, ranging from economic, energy, to traffic. In recent years, deep learning has demonstrated outstanding performance in MTSF tasks. In MTSF, modeling the…

机器学习 · 计算机科学 2026-01-28 Xiangfei Qiu , Hanyin Cheng , Xingjian Wu , Junkai Lu , Jilin Hu , Chenjuan Guo , Christian S. Jensen , Bin Yang

The Gaussian process latent variable model (GPLVM) is a popular probabilistic method used for nonlinear dimension reduction, matrix factorization, and state-space modeling. Inference for GPLVMs is computationally tractable only when the…

机器学习 · 统计学 2023-06-16 Michael Minyi Zhang , Gregory W. Gundersen , Barbara E. Engelhardt

Time series, typically represented as numerical sequences, can also be transformed into images and texts, offering multi-modal views (MMVs) of the same underlying signal. These MMVs can reveal complementary patterns and enable the use of…

机器学习 · 计算机科学 2025-11-03 ChengAo Shen , Wenchao Yu , Ziming Zhao , Dongjin Song , Wei Cheng , Haifeng Chen , Jingchao Ni

In complex systems such as turbulent flows and financial markets, the dynamics in long and short time-lags, signaled by Gaussian and fat-tailed statistics, respectively, calls for a unified description. To address this issue we analyze a…

统计金融 · 定量金融 2008-12-02 A. A. G. Cortines , R. Riera , C. Anteneodo

Adaptive time series forecasting is essential for prediction under regime changes. Several classical methods assume linear Gaussian state space model (LGSSM) with variances constant in time. However, there are many real-world processes that…

机器学习 · 统计学 2024-02-23 Baptiste Abélès , Joseph de Vilmarest , Olivier Wintemberger

The recently introduced class of simultaneous graphical dynamic linear models (SGDLMs) defines an ability to scale on-line Bayesian analysis and forecasting to higher-dimensional time series. This paper advances the methodology of SGDLMs,…

应用统计 · 统计学 2022-06-07 Lutz F. Gruber , Mike West

Federated learning (FL) allows multiple clients to collaboratively learn a globally shared model through cycles of model aggregation and local model training, without the need to share data. Most existing FL methods train local models…

机器学习 · 计算机科学 2023-12-05 Liangxi Liu , Xi Jiang , Feng Zheng , Hong Chen , Guo-Jun Qi , Heng Huang , Ling Shao

Language-based foundation models, such as large language models (LLMs) or large vision-language models (LVLMs), have been widely studied in long-tailed recognition. However, the need for linguistic data is not applicable to all practical…

计算机视觉与模式识别 · 计算机科学 2026-02-09 Pengxiao Han , Changkun Ye , Jinguang Tong , Cuicui Jiang , Jie Hong , Li Fang , Xuesong Li

We explore the use of higher-order tail area approximations for Bayesian simulation. These approximations give rise to an alternative simulation scheme to MCMC for Bayesian computation of marginal posterior distributions for a scalar…

统计计算 · 统计学 2014-05-23 Erlis Ruli , Nicola Sartori , Laura Ventura