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In this paper, a new take on the concept of an active subspace for reducing the dimension of the design parameter space in a multidisciplinary analysis and optimization (MDAO) problem is proposed. The new approach is intertwined with the…

Numerical Analysis · Mathematics 2020-07-01 Gabriele Boncoraglio , Charbel Farhat , Charbel Bou-Mosleh

Due to the high cost and reliability of sensors, the designers of a pump reduce the needed number of sensors for the estimation of the feasible operating point as much as possible. The major challenge to obtain a good estimation is the low…

Machine Learning · Computer Science 2022-08-08 Malathi Murugesan , Kanika Goyal , Laure Barriere , Maura Pasquotti , Giacomo Veneri , Giovanni De Magistris

Models of complex systems often consist of multiple interconnected subsystem/component models that are developed by multi-disciplinary teams of engineers or scientists. To ensure that such interconnected models can be applied for the…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

Dynamical Systems · Mathematics 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

Early stopping is a well known approach to reduce the time complexity for performing training and model selection of large scale learning machines. On the other hand, memory/space (rather than time) complexity is the main constraint in many…

Machine Learning · Statistics 2018-02-02 Tomas Angles , Raffaello Camoriano , Alessandro Rudi , Lorenzo Rosasco

We present a new dimension reduction method called the global active subspace method. The method uses expected values of finite differences of the underlying function to identify the important directions, and builds a surrogate model using…

General Mathematics · Mathematics 2024-10-22 Ruilong Yue , Giray Ökten

Low-complexity models such as linear function representation play a pivotal role in enabling sample-efficient reinforcement learning (RL). The current paper pertains to a scenario with value-based linear representation, which postulates the…

Machine Learning · Computer Science 2021-10-19 Gen Li , Yuxin Chen , Yuejie Chi , Yuantao Gu , Yuting Wei

When applying optimization method to a real-world problem, the possession of prior knowledge and preliminary analysis on the landscape of a global optimization problem can give us an insight into the complexity of the problem. This…

Neural and Evolutionary Computing · Computer Science 2017-07-11 Pramudita Satria Palar , Koji Shimoyama

Sparse sampling schemes have the potential to dramatically reduce image acquisition time while simultaneously reducing radiation damage to samples. However, for a sparse sampling scheme to be useful it is important that we are able to…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 G. M. Dilshan P. Godaliyadda , Dong Hye Ye , Michael D. Uchic , Michael A. Groeber , Gregery T. Buzzard , Charles A. Bouman

To leverage the power of big data from source tasks and overcome the scarcity of the target task samples, representation learning based on multi-task pretraining has become a standard approach in many applications. However, up until now,…

Machine Learning · Computer Science 2022-02-03 Yifang Chen , Simon S. Du , Kevin Jamieson

Subsequence-based time series classification algorithms provide accurate and interpretable models, but training these models is extremely computation intensive. The asymptotic time complexity of subsequence-based algorithms remains a…

Machine Learning · Computer Science 2021-02-18 Atif Raza , Stefan Kramer

Supervised deep learning requires a large amount of training samples with annotations (e.g. label class for classification task, pixel- or voxel-wised label map for segmentation tasks), which are expensive and time-consuming to obtain.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Yuanhan Mo , Shuo Wang , Chengliang Dai , Rui Zhou , Zhongzhao Teng , Wenjia Bai , Yike Guo

Active Learning is a very common yet powerful framework for iteratively and adaptively sampling subsets of the unlabeled sets with a human in the loop with the goal of achieving labeling efficiency. Most real world datasets have imbalance…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Suraj Kothawade , Shivang Chopra , Saikat Ghosh , Rishabh Iyer

Subsampling is one of the popular methods to balance statistical efficiency and computational efficiency in the big data era. Most approaches aim at selecting informative or representative sample points to achieve good overall information…

Methodology · Statistics 2024-07-10 Haolin Chen , Holger Dette , Jun Yu

Most engineering models contain several parameters, and the map from input parameters to model output can be viewed as a multivariate function. An active subspace is a low-dimensional subspace of the space of inputs that explains the…

Numerical Analysis · Mathematics 2014-02-18 Paul G. Constantine

Machine learning models are widely regarded as a way forward to tackle multi-query challenges that arise once expensive black-box simulations such as computational fluid dynamics are investigated. However, ensuring the desired level of…

Machine Learning · Computer Science 2026-01-30 Jigar Parekh , Philipp Bekemeyer

Deep active learning aims to reduce the annotation cost for the training of deep models, which is notoriously data-hungry. Until recently, deep active learning methods were ineffectual in the low-budget regime, where only a small number of…

Machine Learning · Computer Science 2023-12-29 Ofer Yehuda , Avihu Dekel , Guy Hacohen , Daphna Weinshall

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

In this paper, we propose a fast algorithm for element selection, a multiplication-free form of dimension reduction that produces a dimension-reduced vector by simply selecting a subset of elements from the input. Dimension reduction is a…

Machine Learning · Computer Science 2026-02-17 Nobutaka Ono

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