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Reliable uncertainty quantification is critical in multivariate time series forecasting problems arising in domains such as energy systems and transportation networks, among many others. Although Transformer-based architectures have…

机器学习 · 计算机科学 2026-03-13 Rajdeep Pathak , Rahul Goswami , Madhurima Panja , Palash Ghosh , Tanujit Chakraborty

Quantization is of significance for compressing the over-parameterized deep neural models and deploying them on resource-limited devices. Fixed-precision quantization suffers from performance drop due to the limited numerical representation…

计算机视觉与模式识别 · 计算机科学 2024-06-17 Chen Tang , Yuan Meng , Jiacheng Jiang , Shuzhao Xie , Rongwei Lu , Xinzhu Ma , Zhi Wang , Wenwu Zhu

Segmented regression models offer model flexibility and interpretability as compared to the global parametric and the nonparametric models, and yet are challenging in both estimation and inference. We consider a four-regime segmented model…

统计方法学 · 统计学 2024-10-08 Han Yan , Song Xi Chen

To make inferences about the shape of a population distribution, the widely popular mean regression model, for example, is inadequate if the distribution is not approximately Gaussian (or symmetric). Compared to conventional mean regression…

统计理论 · 数学 2015-09-18 Luis E. Benites , Víctor H. Lachos , Filidor E. Vilca

We describe an optimal adversarial attack formulation against autoregressive time series forecast using Linear Quadratic Regulator (LQR). In this threat model, the environment evolves according to a dynamical system; an autoregressive model…

机器学习 · 计算机科学 2019-12-03 Yiding Chen , Xiaojin Zhu

Forecasting in probabilistic time series is a complex endeavor that extends beyond predicting future values to also quantifying the uncertainty inherent in these predictions. Gaussian process regression stands out as a Bayesian machine…

Modern engineering systems, such as autonomous vehicles, flexible robotics, and intelligent aerospace platforms, require controllers that are robust to uncertainties, adaptive to environmental changes, and safety-aware under real-time…

机器人学 · 计算机科学 2025-12-16 Patrick Kostelac , Xuerui Wang , Anahita Jamshidnejad

Time series forecasting models are becoming increasingly prevalent due to their critical role in decision-making across various domains. However, most existing approaches represent the coupled temporal patterns, often neglecting the…

机器学习 · 计算机科学 2025-09-26 Jintao Zhang , Mingyue Cheng , Xiaoyu Tao , Zhiding Liu , Daoyu Wang

Latent Diffusion Models (LDMs) capture the dynamic evolution of latent variables over time, blending patterns and multimodality in a generative system. Despite the proficiency of LDM in various applications, such as text-to-image…

计算机视觉与模式识别 · 计算机科学 2023-12-12 Yuewei Yang , Xiaoliang Dai , Jialiang Wang , Peizhao Zhang , Hongbo Zhang

Long-term time-series forecasting (LTSF) is fundamental to various real-world applications, where Transformer-based models have become the dominant framework due to their ability to capture long-range dependencies. However, these models…

机器学习 · 计算机科学 2025-03-27 Mingjie Li , Rui Liu , Guangsi Shi , Mingfei Han , Changling Li , Lina Yao , Xiaojun Chang , Ling Chen

Optimizing smart grid operations relies on critical decision-making informed by uncertainty quantification, making probabilistic forecasting a vital tool. Designing such forecasting models involves three key challenges: accurate and…

机器学习 · 计算机科学 2024-12-03 Stefan Meisenbacher , Kaleb Phipps , Oskar Taubert , Marie Weiel , Markus Götz , Ralf Mikut , Veit Hagenmeyer

The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches can be classified as indirect (i.e., based on an identified…

最优化与控制 · 数学 2021-09-15 Florian Dörfler , Pietro Tesi , Claudio De Persis

In this paper, we propose an invariant quantile regression (IQR) framework specifically designed for multi-environment datasets, which captures the invariance across different environments. This framework is closely related to transfer…

统计方法学 · 统计学 2026-05-28 Bo Fu , Dandan Jiang

Quantile regression is fundamental to distributional modeling, yet independent estimation of multiple quantiles frequently produces crossing -- where estimated quantile functions violate monotonicity, implying impossible negative…

机器学习 · 统计学 2025-12-16 Kaihua Chang

Stochastic simulation models effectively capture complex system dynamics but are often too slow for real-time decision-making. Traditional metamodeling techniques learn relationships between simulator inputs and a single output summary…

机器学习 · 计算机科学 2026-01-21 L. Jeff Hong , Yanxi Hou , Qingkai Zhang , Xiaowei Zhang

Forecasting models that are trained across sets of many time series, known as Global Forecasting Models (GFM), have shown recently promising results in forecasting competitions and real-world applications, outperforming many…

机器学习 · 计算机科学 2020-08-07 Kasun Bandara , Hansika Hewamalage , Yuan-Hao Liu , Yanfei Kang , Christoph Bergmeir

This paper proposes the automatic Doubly Robust Random Forest (DRRF) algorithm for estimating the conditional expectation of a moment functional in the presence of high-dimensional nuisance functions. DRRF extends the automatic debiasing…

统计方法学 · 统计学 2025-06-10 Zhaomeng Chen , Junting Duan , Victor Chernozhukov , Vasilis Syrgkanis

Real-world multichannel time series prediction faces growing demands for efficiency across edge and cloud environments, making channel compression a timely and essential problem. Motivated by the success of Multiple-Input Multiple-Output…

机器学习 · 计算机科学 2026-01-30 Ziqi Liu , Pei Zeng , Yi Ding

This paper presents a novel approach to Bayesian nonparametric spectral analysis of stationary multivariate time series. Starting with a parametric vector-autoregressive model, the parametric likelihood is nonparametrically adjusted in the…

统计方法学 · 统计学 2024-07-10 Yixuan Liu , Claudia Kirch , Jeong Eun Lee , Renate Meyer

The prediction of complex dynamics remains an open problem across many domains of physics, where nonlinearities and multiscale interactions severely limit the reliability of conventional forecasting methods. Quantum reservoir computing…