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The Hidden Markov Model (HMM) can predict the future value of a time series based on its current and previous values, making it a powerful algorithm for handling various types of time series. Numerous studies have explored the improvement…

Machine Learning · Computer Science 2024-02-28 YeXin Huang

Accurate forecasting of multivariate time series data remains a formidable challenge, particularly due to the growing complexity of temporal dependencies in real-world scenarios. While neural network-based models have achieved notable…

Machine Learning · Computer Science 2025-12-09 Andrey Savchenko , Oleg Kachan

Multi-objective optimization problems (MOPs) require the simultaneous optimization of conflicting objectives. Real-world MOPs often exhibit complex characteristics, including high-dimensional decision spaces, many objectives, or…

Neural and Evolutionary Computing · Computer Science 2025-10-20 Haokai Hong , Liang Feng , Min Jiang , Kay Chen Tan

Existing deep learning models for Predictive Process Monitoring (PPM) struggle with temporal irregularities, particularly stochastic event durations and overlapping timestamps, limiting their adaptability across heterogeneous datasets. We…

Machine Learning · Computer Science 2025-11-25 Fang Wang , Paolo Ceravolo , Ernesto Damiani

Spatiotemporal forecasting is critical in applications such as traffic prediction, climate modeling, and environmental monitoring. However, the prevalence of missing data in real-world sensor networks significantly complicates this task. In…

Machine Learning · Computer Science 2025-01-20 Muhammad Bilal , Luis Carretero Lopez

We present a compartmentalized approach to finding the maximum a-posteriori (MAP) estimate of a latent time series that obeys a dynamic stochastic model and is observed through noisy measurements. We specifically consider modern signal…

Optimization and Control · Mathematics 2018-10-15 Gabriel Schamberg , Demba Ba , Todd P. Coleman

In recent years, machine learning has established itself as a powerful tool for high-resolution weather forecasting. While most current machine learning models focus on deterministic forecasts, accurately capturing the uncertainty in the…

Machine Learning · Computer Science 2024-10-29 Joel Oskarsson , Tomas Landelius , Marc Peter Deisenroth , Fredrik Lindsten

Trajectory prediction plays a vital role in automotive radar systems, facilitating precise tracking and decision-making in autonomous driving. Generative adversarial networks with the ability to learn a distribution over future trajectories…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Peiyuan Zhu , Fengxia Han , Hao Deng

Analyzing and forecasting trajectories of agents like pedestrians plays a pivotal role for embodied intelligent applications. The inherent indeterminacy of human behavior and complex social interaction among a rich variety of agents make…

Robotics · Computer Science 2024-10-28 Huajian Liu , Wei Dong , Kunpeng Fan , Chao Wang , Yongzhuo Gao

Probabilistic time series forecasting predicts the conditional probability distributions of the time series at a future time given past realizations. Such techniques are critical in risk-based decision-making and planning under…

Machine Learning · Computer Science 2023-06-07 Xinyi Wang , Meijen Lee , Qing Zhao , Lang Tong

Many real-world dynamical systems can be described as State-Space Models (SSMs). In this formulation, each observation is emitted by a latent state, which follows first-order Markovian dynamics. A Probabilistic Deep SSM (ProDSSM)…

Machine Learning · Computer Science 2023-09-18 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Parametric 3D models have enabled a wide variety of tasks in computer graphics and vision, such as modeling human bodies, faces, and hands. However, the construction of these parametric models is often tedious, as it requires heavy manual…

Computer Vision and Pattern Recognition · Computer Science 2021-08-06 Pablo Palafox , Aljaž Božič , Justus Thies , Matthias Nießner , Angela Dai

In this paper we introduce a novel online time series forecasting model we refer to as the pM-GP filter. We show that our model is equivalent to Gaussian process regression, with the advantage that both online forecasting and online…

Machine Learning · Statistics 2015-10-13 Yves-Laurent Kom Samo , Stephen J. Roberts

Time series forecasting plays a central role in many real-world applications and has been extensively studied. Most existing approaches rely on deterministic models. However, real-world environments exhibit inherently uncertain and complex…

Machine Learning · Computer Science 2026-05-25 Minju Kim , Youngbum Hur

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Gaussian processes provide a flexible framework for spatial prediction, but their computational cost limits applicability to large-scale data with large sample size $n$. Predictive processes (PPs), a popular low-rank approximation, mitigate…

Methodology · Statistics 2026-03-23 Nicolas Bianco , Nadja Klein

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

In urban computing, precise and swift forecasting of multivariate time series data from traffic networks is crucial. This data incorporates additional spatial contexts such as sensor placements and road network layouts, and exhibits complex…

Machine Learning · Computer Science 2024-12-19 Tongtong Zhang , Zhiyong Cui , Bingzhang Wang , Yilong Ren , Haiyang Yu , Pan Deng , Yinhai Wang

Predictive Process Monitoring (PPM) aims to forecast the future behavior of ongoing process instances using historical event data, enabling proactive decision-making. While recent advances rely heavily on deep learning models such as LSTMs…

Machine Learning · Computer Science 2025-09-23 Amaan Ansari , Lukas Kirchdorfer , Raheleh Hadian

Deep probabilistic time series forecasting models have become an integral part of machine learning. While several powerful generative models have been proposed, we provide evidence that their associated inference models are oftentimes too…

Machine Learning · Computer Science 2020-12-07 Chen Qiu , Stephan Mandt , Maja Rudolph