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We consider the problem of direct data-driven predictive control for unknown stochastic linear time-invariant (LTI) systems with partial state observation. Building upon our previous research on data-driven stochastic control, this paper…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Ruiqi Li , John W. Simpson-Porco , Stephen L. Smith

Data attribution methods trace model behavior back to its training dataset, offering an effective approach to better understand ''black-box'' neural networks. While prior research has established quantifiable links between model output and…

Machine Learning · Computer Science 2024-07-30 Tong Xie , Haoyu Li , Andrew Bai , Cho-Jui Hsieh

Flow prediction (e.g., crowd flow, traffic flow) with features of spatial-temporal is increasingly investigated in AI research field. It is very challenging due to the complicated spatial dependencies between different locations and dynamic…

Machine Learning · Computer Science 2019-12-24 Haoxing Lin , Weijia Jia , Yiping Sun , Yongjian You

The new paradigm of test-time scaling has yielded remarkable breakthroughs in Large Language Models (LLMs) (e.g. reasoning models) and in generative vision models, allowing models to allocate additional computation during inference to…

Machine Learning · Computer Science 2025-08-14 Luca Eyring , Shyamgopal Karthik , Alexey Dosovitskiy , Nataniel Ruiz , Zeynep Akata

Modelling the transmission dynamics of an infectious disease is a complex task. Not only it is difficult to accurately model the inherent non-stationarity and heterogeneity of transmission, but it is nearly impossible to describe,…

Computation · Statistics 2023-07-19 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

Diffusion tensor imaging (DTI) is a popular magnetic resonance imaging technique used to characterize microstructural changes in the brain. DTI studies quantify the diffusion of water molecules in a voxel using an estimated 3x3 symmetric…

Methodology · Statistics 2021-03-30 Zhou Lan , Brian J. Reich , Dipankar Bandyopadhyay

This paper investigates the modeling of an important class of degradation data, which are collected from a spatial domain over time; for example, the surface quality degradation. Like many existing time-dependent stochastic degradation…

Methodology · Statistics 2017-12-29 Xiao Liu , Kyongmin Yeo , Jayant Kalagnanam

Distribution shifts between training and test data are inevitable over the lifecycle of a deployed model, leading to performance decay. Adapting a model on test samples can help mitigate this drop in performance. However, most test-time…

Machine Learning · Computer Science 2025-11-18 Mona Schirmer , Dan Zhang , Eric Nalisnick

Earth system forecasting has traditionally relied on complex physical models that are computationally expensive and require significant domain expertise. In the past decade, the unprecedented increase in spatiotemporal Earth observation…

Machine Learning · Computer Science 2023-12-29 Zhihan Gao , Xingjian Shi , Boran Han , Hao Wang , Xiaoyong Jin , Danielle Maddix , Yi Zhu , Mu Li , Yuyang Wang

Causal inference in spatio-temporal settings is critically hindered by unmeasured confounders with complex spatio-temporal dynamics and the prevalence of multi-resolution data. While diffusion models present a promising avenue for…

Machine Learning · Statistics 2026-04-07 Xinwen Liu , Lei Qian , Song Xi Chen , Niansheng Tang

This paper presents AFD-STA Net, a neural framework integrating adaptive filtering and spatiotemporal dynamics learning for predicting high-dimensional chaotic systems governed by partial differential equations. The architecture combines:…

Machine Learning · Computer Science 2025-05-26 Chunlin Gong , Yin Wang , Jingru Li , Hanleran Zhang

Visual imitation learning is effective for robots to learn versatile tasks. However, many existing methods rely on behavior cloning with supervised historical trajectories, limiting their 3D spatial and 4D spatiotemporal awareness.…

Robotics · Computer Science 2025-07-15 Zhenyang Liu , Yikai Wang , Kuanning Wang , Longfei Liang , Xiangyang Xue , Yanwei Fu

Mainstream visual object tracking frameworks predominantly rely on template matching paradigms. Their performance heavily depends on the quality of template features, which becomes increasingly challenging to maintain in complex scenarios…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Meng Zhou , Jiadong Xie , Mingsheng Xu

Generative diffusion models have achieved remarkable success in producing high-quality images. However, these models typically operate in continuous intensity spaces, diffusing independently across pixels and color channels. As a result,…

Graphics · Computer Science 2025-05-20 Javier E. Santos , Agnese Marcato , Roman Colman , Nicholas Lubbers , Yen Ting Lin

Reliability is extremely important for large-scale cloud systems like Microsoft 365. Cloud failures such as disk failure, node failure, etc. threaten service reliability, resulting in online service interruptions and economic loss. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-07 Fangkai Yang , Wenjie Yin , Lu Wang , Tianci Li , Pu Zhao , Bo Liu , Paul Wang , Bo Qiao , Yudong Liu , Mårten Björkman , Saravan Rajmohan , Qingwei Lin , Dongmei Zhang

Adapting a pretrained diffusion model to new objectives at inference time remains an open problem in generative modeling. Existing steering methods suffer from inaccurate value estimation, especially at high noise levels, which biases…

Machine Learning · Computer Science 2025-06-27 Vineet Jain , Kusha Sareen , Mohammad Pedramfar , Siamak Ravanbakhsh

We propose a novel framework for adaptively learning the time-evolving solutions of stochastic partial differential equations (SPDEs) using score-based diffusion models within a recursive Bayesian inference setting. SPDEs play a central…

Computation · Statistics 2025-08-12 Toan Huynh , Ruth Lopez Fajardo , Guannan Zhang , Lili Ju , Feng Bao

Guidance is a cornerstone of modern diffusion models, playing a pivotal role in conditional generation and enhancing the quality of unconditional samples. However, current approaches to guidance scheduling--determining the appropriate…

There is a great need to accurately predict short-term precipitation, which has socioeconomic effects such as agriculture and disaster prevention. Recently, the forecasting models have employed multi-source data as the multi-modality input,…

Atmospheric and Oceanic Physics · Physics 2024-09-12 Min Chen , Hao Yang , Shaohan Li , Xiaolin Qin

Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection-diffusion partial differential equation provides a…

Methodology · Statistics 2016-02-18 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel
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