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Prompt engineering is an iterative procedure often requiring extensive manual effort to formulate suitable instructions for effectively directing large language models (LLMs) in specific tasks. Incorporating few-shot examples is a vital and…

Active learning generally involves querying the most representative samples for human labeling, which has been widely studied in many fields such as image classification and object detection. However, its potential has not been explored in…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Jun Wang , Shaoguo Wen , Kaixing Chen , Jianghua Yu , Xin Zhou , Peng Gao , Changsheng Li , Guotong Xie

We investigate methods for learning partial differential equation (PDE) models from spatiotemporal data under biologically realistic levels and forms of noise. Recent progress in learning PDEs from data have used sparse regression to select…

Dynamical Systems · Mathematics 2021-04-28 John Lagergren , John T. Nardini , G. Michael Lavigne , Erica M. Rutter , Kevin B. Flores

Segmentation is essential for medical image analysis tasks such as intervention planning, therapy guidance, diagnosis, treatment decisions. Deep learning is becoming increasingly prominent for segmentation, where the lack of annotations,…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Firat Ozdemir , Zixuan Peng , Christine Tanner , Philipp Fuernstahl , Orcun Goksel

Partial differential equations (PDEs) underpin quantitative descriptions across the physical sciences and engineering, yet high-fidelity simulation remains a major computational bottleneck for many-query, real-time, and design tasks.…

Machine Learning · Computer Science 2026-05-08 Mohammad Sadegh Eshaghi , Cosmin Anitescu , Navid Valizadeh , Yizheng Wang , Xiaoying Zhuang , Timon Rabczuk

Predicting model performance at larger scales enables the design of training strategies and architectures tailored to specific performance targets. Empirical scaling law research identifies functional forms to aid this prediction task.…

Machine Learning · Computer Science 2026-05-26 Viktoria Schram , Markus Hiller , Daniel Beck , Trevor Cohn

Semi-Lagrangian methods are numerical methods designed to find approximate solutions to particular time-dependent partial differential equations (PDEs) that describe the advection process. We propose semi-Lagrangian one-step methods for…

Numerical Analysis · Mathematics 2017-03-07 Nikolai D. Lipscomb , Daniel X. Guo

Simulating complex physical processes across a domain of input parameters can be very computationally expensive. Multi-fidelity surrogate modeling can resolve this issue by integrating cheaper simulations with the expensive ones in order to…

Methodology · Statistics 2026-02-03 Romain Boutelet , Chih-Li Sung

High-fidelity simulation models are widely used to analyze complex stochastic systems, but their high computational cost motivates the development of cheaper surrogate models that approximate the simulation model's input-output…

Machine Learning · Statistics 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

Modeling the traffic dynamics is essential for understanding and predicting the traffic spatiotemporal evolution. However, deriving the partial differential equation (PDE) models that capture these dynamics is challenging due to their…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Zihang Wei , Yunlong Zhang , Chenxi Liu , Yang Zhou

PDE-Constrained Optimization (PDECO) problems can be accelerated significantly by employing gradient-based methods with surrogate models like neural operators compared to traditional numerical solvers. However, this approach faces two key…

Machine Learning · Computer Science 2025-06-17 Ze Cheng , Zhuoyu Li , Xiaoqiang Wang , Jianing Huang , Zhizhou Zhang , Zhongkai Hao , Hang Su

Active learning (AL) uses a data selection algorithm to select useful training samples to minimize annotation cost. This is now an essential tool for building low-resource syntactic analyzers such as part-of-speech (POS) taggers. Existing…

Computation and Language · Computer Science 2020-11-24 Aditi Chaudhary , Antonios Anastasopoulos , Zaid Sheikh , Graham Neubig

Bayesian estimation approaches, which are capable of combining the information of experimental data from different likelihood functions to achieve high precisions, have been widely used in phase estimation via introducing a controllable…

Quantum Physics · Physics 2021-07-02 Yuxiang Qiu , Min Zhuang , Jiahao Huang , Chaohong Lee

Active testing enables label-efficient evaluation of predictive models through careful data acquisition, but it can pose a significant computational cost. We identify cost-saving measures that enable active testing to be scaled up to large…

Machine Learning · Computer Science 2025-11-26 Gabrielle Berrada , Jannik Kossen , Freddie Bickford Smith , Muhammed Razzak , Yarin Gal , Tom Rainforth

Developing efficient numerical algorithms for the solution of high dimensional random Partial Differential Equations (PDEs) has been a challenging task due to the well-known curse of dimensionality. We present a new solution framework for…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

PDE discovery shows promise for uncovering predictive models of complex physical systems but has difficulty when measurements are sparse and noisy. We introduce a new approach for PDE discovery that uses two Rational Neural Networks and a…

Machine Learning · Computer Science 2022-06-20 Robert Stephany , Christopher Earls

Constructing decision trees online is a classical machine learning problem. Existing works often assume that features are readily available for each incoming data point. However, in many real world applications, both feature values and the…

Machine Learning · Computer Science 2025-06-18 Arman Rahbar , Ziyu Ye , Yuxin Chen , Morteza Haghir Chehreghani

Multistage sequential decision-making scenarios are commonly seen in the healthcare diagnosis process. In this paper, an active learning-based method is developed to actively collect only the necessary patient data in a sequential manner.…

Machine Learning · Statistics 2022-01-14 Hongzhen Tian , Reuven Zev Cohen , Chuck Zhang , Yajun Mei

In this paper, we propose Spatio-TEmporal Progressive (STEP) action detector---a progressive learning framework for spatio-temporal action detection in videos. Starting from a handful of coarse-scale proposal cuboids, our approach…

Computer Vision and Pattern Recognition · Computer Science 2019-04-22 Xitong Yang , Xiaodong Yang , Ming-Yu Liu , Fanyi Xiao , Larry Davis , Jan Kautz

Physics-Informed Neural Networks (PINNs) have become a kind of attractive machine learning method for obtaining solutions of partial differential equations (PDEs). Training PINNs can be seen as a semi-supervised learning task, in which only…

Machine Learning · Computer Science 2022-10-25 Jia Guo , Haifeng Wang , Chenping Hou
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