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The non-stationarity characteristic of the solar power renders traditional point forecasting methods to be less useful due to large prediction errors. This results in increased uncertainties in the grid operation, thereby negatively…

Machine Learning · Computer Science 2020-09-15 Sakshi Mishra , Praveen Palanisamy

For autoregressive modeling of chaotic dynamical systems over long time horizons, the stability of both training and inference is a major challenge in building scientific foundation models. We present a hybrid technique in which an…

Predictive multiplicity and chaotic dynamics represent two fundamental challenges in machine learning that have evolved independently despite their conceptual connections. We bridge this gap by introducing horizon-constrained Rashomon sets,…

Machine Learning · Computer Science 2026-05-08 Gauri Kale , Rahul Vishwakarma , Holly Diamond , Ava Hedayatipour , Amin Rezaei

Reservoir computing systems, a class of recurrent neural networks, have recently been exploited for model-free, data-based prediction of the state evolution of a variety of chaotic dynamical systems. The prediction horizon demonstrated has…

Machine Learning · Computer Science 2020-04-06 Huawei Fan , Junjie Jiang , Chun Zhang , Xingang Wang , Ying-Cheng Lai

Forecasting complex system dynamics, particularly for long-term predictions, is persistently hindered by error accumulation and computational burdens. This study presents RefreshNet, a multiscale framework developed to overcome these…

Machine Learning · Computer Science 2024-01-25 Junaid Farooq , Danish Rafiq , Pantelis R. Vlachas , Mohammad Abid Bazaz

[This paper was initially published in PHME conference in 2016, selected for further publication in International Journal of Prognostics and Health Management.] This paper describes an Autoregressive Partially-hidden Markov model (ARPHMM)…

Machine Learning · Statistics 2021-05-04 Pablo Juesas , Emmanuel Ramasso , Sébastien Drujont , Vincent Placet

Neural PDE solvers offer a powerful tool for modeling complex dynamical systems, but often struggle with error accumulation over long time horizons and maintaining stability and physical consistency. We introduce a multiscale implicit…

Machine Learning · Computer Science 2025-06-06 Ruoxi Jiang , Xiao Zhang , Karan Jakhar , Peter Y. Lu , Pedram Hassanzadeh , Michael Maire , Rebecca Willett

We extend the recent latent recurrent modeling to sequential input streams. By interleaving fast, recurrent latent updates with self-organizational ability between slow observation updates, our method facilitates the learning of stable…

Machine Learning · Computer Science 2026-04-23 Shota Takashiro , Masanori Koyama , Takeru Miyato , Yusuke Iwasawa , Yutaka Matsuo , Kohei Hayashi

Accurate long-range prediction of geophysical systems is difficult due to strongly nonlinear dynamics, the high computational cost of full-physics simulations, and the error accumulation that arise when one-step autoregressive surrogates…

Machine Learning · Computer Science 2026-05-29 Zesheng Liu , Maryam Rahnemoonfar

Short-term mobility forecasting is a core requirement for proactive handover (HO) in cellular networks. Real-world mobility is highly non-stationary: abrupt turns, rapid speed changes, and unpredictable user behavior cause conventional…

Machine Learning · Computer Science 2025-12-16 Sasi Vardhan Reddy Mandapati

Moving horizon estimation (MHE) offers benefits relative to other estimation approaches by its ability to explicitly handle constraints, but suffers increased computation cost. To help enable MHE on platforms with limited computation power,…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Yujia Yang , Chris Manzie , Ye Pu

Real-world three-phase microgrids face two interconnected challenges: 1. time-varying uncertainty from renewable generation and demand, and 2. persistent phase imbalances caused by uneven distributed energy resources DERs, load asymmetries,…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Pablo Cortés , Alejandra Tabares , Fredy Franco

In this paper, we address the efficient implementation of moving horizon state estimation of constrained discrete-time linear systems. We propose a novel iteration scheme which employs a proximity-based formulation of the underlying…

Optimization and Control · Mathematics 2021-11-09 Meriem Gharbi , Bahman Gharesifard , Christian Ebenbauer

Current time-series forecasting models are primarily based on transformer-style neural networks. These models achieve long-term forecasting mainly by scaling up the model size rather than through genuinely autoregressive (AR) rollout. From…

Machine Learning · Computer Science 2026-05-08 Zheng Li , Jerry Cheng , Huanying Gu

Business environments characterized by intermittent demand, high variability, and multi-step planning require model selection procedures aligned with future operational horizons rather than static test-horizon evaluation. Because no…

Machine Learning · Computer Science 2026-04-23 Adolfo González , Víctor Parada

We consider a moving horizon estimation (MHE) scheme involving a discounted least squares objective for general nonlinear continuous-time systems. Provided that the system is detectable (incrementally integral input/output-to-state stable,…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Julian D. Schiller , Matthias A. Müller

Accurately modeling open quantum system dynamics is crucial for advancing quantum technologies, yet traditional methods struggle to balance accuracy and efficiency. Machine learning (ML) provides a promising alternative, particularly…

Chemical Physics · Physics 2025-04-25 Arif Ullah

Many downstream decisions in complex terrain require fast wind estimates at a small number of user-specified locations and heights for a given forecast valid time, rather than another dense forecast field on a fixed grid. We present…

Artificial Intelligence · Computer Science 2026-05-12 Yi Xiao , Qilong Jia , Hang Fan , Pascal Fua , Robert Jenssen , Xiaosong Ma , Wei Xue

Hybrid cloud-edge infrastructures now support latency-critical workloads ranging from autonomous vehicles and surgical robotics to immersive AR/VR. However, they continue to experience crippling long-tail latency spikes whenever bursty…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Eunil Seo , Chanh Nguyen , Erik Elmroth

We present Higher-Order Tensor RNN (HOT-RNN), a novel family of neural sequence architectures for multivariate forecasting in environments with nonlinear dynamics. Long-term forecasting in such systems is highly challenging, since there…

Machine Learning · Computer Science 2019-08-27 Rose Yu , Stephan Zheng , Anima Anandkumar , Yisong Yue
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