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We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

Robotics · Computer Science 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

The fundamental computational issues in Bayesian inverse problems (BIP) governed by partial differential equations (PDEs) stem from the requirement of repeated forward model evaluations. A popular strategy to reduce such costs is to replace…

Numerical Analysis · Mathematics 2024-09-05 Zhiwei Gao , Liang Yan , Tao Zhou

Simulation of complex dynamical systems arising in many applications is computationally challenging due to their size and complexity. Model order reduction, machine learning, and other types of surrogate modeling techniques offer cheaper…

Numerical Analysis · Mathematics 2026-02-11 Steven Roberts , Andrey A Popov , Arash Sarshar , Adrian Sandu

Active learning aims to address the paucity of labeled data by finding the most informative samples. However, when applying to semantic segmentation, existing methods ignore the segmentation difficulty of different semantic areas, which…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Shuai Xie , Zunlei Feng , Ying Chen , Songtao Sun , Chao Ma , Mingli Song

Partial differential equations (PDEs) govern nearly every physical process in science and engineering, yet solving them at scale remains prohibitively expensive. Generative AI has transformed language, vision, and protein science, but…

Machine Learning · Computer Science 2026-04-10 Yilong Dai , Shengyu Chen , Xiaowei Jia , Runlong Yu

Predictive simulations are essential for applications ranging from weather forecasting to material design. The veracity of these simulations hinges on their capacity to capture the effective system dynamics. Massively parallel simulations…

Deep neural networks (DNNs), especially physics-informed neural networks (PINNs), have recently become a new popular method for solving forward and inverse problems governed by partial differential equations (PDEs). However, these methods…

Machine Learning · Computer Science 2023-10-26 Wenbo Cao , Weiwei Zhang

Active learning is considered a viable solution to alleviate the contradiction between the high dependency of deep learning-based segmentation methods on annotated data and the expensive pixel-level annotation cost of medical images.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Jun Shi , Shulan Ruan , Ziqi Zhu , Minfan Zhao , Hong An , Xudong Xue , Bing Yan

Active learning (AL) is a sequential learning scheme aiming to select the most informative data. AL reduces data consumption and avoids the cost of labeling large amounts of data. However, AL trains the model and solves an acquisition…

Machine Learning · Computer Science 2025-01-13 Cen-You Li , Marc Toussaint , Barbara Rakitsch , Christoph Zimmer

A promising way to improve the sample efficiency of reinforcement learning is model-based methods, in which many explorations and evaluations can happen in the learned models to save real-world samples. However, when the learned model has a…

Machine Learning · Computer Science 2022-09-14 Haoxin Lin , Yihao Sun , Jiaji Zhang , Yang Yu

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

Active learning is a unique abstraction of machine learning techniques where the model/algorithm could guide users for annotation of a set of data points that would be beneficial to the model, unlike passive machine learning. The primary…

Computer Vision and Pattern Recognition · Computer Science 2021-01-08 Vishwesh Nath , Dong Yang , Bennett A. Landman , Daguang Xu , Holger R. Roth

Planning-based reinforcement learning has shown strong performance in tasks in discrete and low-dimensional continuous action spaces. However, planning usually brings significant computational overhead for decision-making, and scaling such…

Machine Learning · Computer Science 2023-01-25 Zhengyao Jiang , Tianjun Zhang , Michael Janner , Yueying Li , Tim Rocktäschel , Edward Grefenstette , Yuandong Tian

The surrogate model-based uncertainty quantification method has drawn much attention in many engineering fields. Polynomial chaos expansion (PCE) and deep learning (DL) are powerful methods for building a surrogate model. However, PCE needs…

Machine Learning · Computer Science 2022-03-02 Wen Yao , Xiaohu Zheng , Jun Zhang , Ning Wang , Guijian Tang

Physics-informed deep learning often faces optimization challenges due to the complexity of solving partial differential equations (PDEs), which involve exploring large solution spaces, require numerous iterations, and can lead to unstable…

The least squares method with deep neural networks as function parametrization has been applied to solve certain high-dimensional partial differential equations (PDEs) successfully; however, its convergence is slow and might not be…

Numerical Analysis · Mathematics 2021-12-30 Yiqi Gu , Haizhao Yang , Chao Zhou

Physics-informed neural networks (PINNs) and neural operators, two leading scientific machine learning (SciML) paradigms, have emerged as powerful tools for solving partial differential equations (PDEs). Although increasing the training…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Weihang Ouyang , Min Zhu , Wei Xiong , Si-Wei Liu , Lu Lu

Partial Differential Equations (PDEs) with high dimensionality are commonly encountered in computational physics and engineering. However, finding solutions for these PDEs can be computationally expensive, making model-order reduction…

Machine Learning · Statistics 2023-03-07 Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis , Petros Koumoutsakos

Large-scale numerical simulations underpin modern scientific discovery but remain constrained by prohibitive computational costs. AI surrogates offer acceleration, yet adoption in mission-critical settings is limited by concerns over…

Machine Learning · Computer Science 2025-09-30 Dawei Gao , Dali Wang , Zhuowei Gu , Qinglei Cao , Xiao Wang , Peter Thornton , Dan Ricciuto , Yunhe Feng

The expensive annotation cost is notoriously known as the main constraint for the development of the point cloud semantic segmentation technique. Active learning methods endeavor to reduce such cost by selecting and labeling only a subset…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Feifei Shao , Yawei Luo , Ping Liu , Jie Chen , Yi Yang , Yulei Lu , Jun Xiao