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Data assimilation is a method that combines observations (that is, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model…

Numerical Analysis · Mathematics 2020-05-18 Melina A. Freitag

Quadratic discriminant analysis (QDA) is a standard tool for classification due to its simplicity and flexibility. Because the number of its parameters scales quadratically with the number of the variables, QDA is not practical, however,…

Methodology · Statistics 2018-09-06 Binyan Jiang , Xiangyu Wang , Chenlei Leng

Domain adaptation is a popular paradigm in modern machine learning which aims at tackling the problem of divergence (or shift) between the labeled training and validation datasets (source domain) and a potentially large unlabeled dataset…

Machine Learning · Computer Science 2023-11-10 Evgeny M Mirkes , Jonathan Bac , Aziz Fouché , Sergey V. Stasenko , Andrei Zinovyev , Alexander N. Gorban

Data augmentation (DA) techniques aim to increase data variability, and thus train deep networks with better generalisation. The pioneering AutoAugment automated the search for optimal DA policies with reinforcement learning. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-31 Yonggang Li , Guosheng Hu , Yongtao Wang , Timothy Hospedales , Neil M. Robertson , Yongxin Yang

"Deep Archetypal Analysis" generates latent representations of high-dimensional datasets in terms of fractions of intuitively understandable basic entities called archetypes. The proposed method is an extension of linear "Archetypal…

Machine Learning · Computer Science 2020-01-27 Sebastian Mathias Keller , Maxim Samarin , Mario Wieser , Volker Roth

In recent years, one of the most popular techniques in the computer vision community has been the deep learning technique. As a data-driven technique, deep model requires enormous amounts of accurately labelled training data, which is often…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Zihan Yang , Richard O. Sinnott , James Bailey , Qiuhong Ke

Dimensionality reduction techniques play important roles in the analysis of big data. Traditional dimensionality reduction approaches, such as principal component analysis (PCA) and linear discriminant analysis (LDA), have been studied…

Machine Learning · Computer Science 2018-05-31 Haozhe Xie , Jie Li , Hanqing Xue

Food authenticity studies are concerned with determining if food samples have been correctly labeled or not. Discriminant analysis methods are an integral part of the methodology for food authentication. Motivated by food authenticity…

Methodology · Statistics 2010-10-08 Thomas Brendan Murphy , Nema Dean , Adrian E. Raftery

Classical dimensional analysis is one of the cornerstones of qualitative physics and is also used in the analysis of engineering systems, for example in engineering design. The basic power product relationship in dimensional analysis is…

Data Analysis, Statistics and Probability · Physics 2013-04-25 M. A. Atherton , R. A. Bates , H. P. Wynn

Bayesian data analysis (BDA) is today used by a multitude of research disciplines. These disciplines use BDA as a way to embrace uncertainty by using multilevel models and making use of all available information at hand. In this chapter, we…

Software Engineering · Computer Science 2020-01-03 Richard Torkar , Robert Feldt , Carlo A. Furia

Data Augmentation is a common technique used to enhance the performance of deep learning models by expanding the training dataset. Automatic Data Augmentation (ADA) methods are getting popular because of their capacity to generate policies…

Machine Learning · Computer Science 2024-04-02 Tien-Yu Chang , Hao Dai , Vincent S. Tseng

Data Assimilation (DA) plays a critical role in atmospheric science by reconstructing spatially continous estimates of the system state, which serves as initial conditions for scientific analysis. While recent advances in diffusion models…

Machine Learning · Computer Science 2025-05-20 Hao Wang , Jindong Han , Wei Fan , Weijia Zhang , Hao Liu

Partial domain adaptation (PDA) is a challenging task in real-world machine learning scenarios. It aims to transfer knowledge from a labeled source domain to a related unlabeled target domain, where the support set of the source label…

Machine Learning · Computer Science 2025-07-29 Cheng-Jun Guo , Chuan-Xian Ren , You-Wei Luo , Xiao-Lin Xu , Hong Yan

The purpose of this paper is to point out a new connection between information theory and dynamical systems. In the information theory side, we consider rate distortion theory, which studies lossy data compression of stochastic processes…

Dynamical Systems · Mathematics 2017-02-21 Elon Lindenstrauss , Masaki Tsukamoto

Supervised learning tends to produce more accurate classifiers than unsupervised learning in general. This implies that training data is preferred with annotations. When addressing visual perception challenges, such as localizing certain…

Computer Vision and Pattern Recognition · Computer Science 2016-12-30 Antonio M. Lopez , Jiaolong Xu , Jose L. Gomez , David Vazquez , German Ros

For applications in healthcare, physics, energy, robotics, and many other fields, designing maximally informative experiments is valuable, particularly when experiments are expensive, time-consuming, or pose safety hazards. While existing…

Machine Learning · Computer Science 2022-03-09 Vincent Lim , Ellen Novoseller , Jeffrey Ichnowski , Huang Huang , Ken Goldberg

Data augmentation (DA) algorithms are widely used for Bayesian inference due to their simplicity. In massive data settings, however, DA algorithms are prohibitively slow because they pass through the full data in any iteration, imposing…

Computation · Statistics 2021-09-21 Jiayuan Zhou , Kshitij Khare , Sanvesh Srivastava

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Being widely used in learning unbiased visual question answering (VQA) models, Data Augmentation (DA) helps mitigate language biases by generating extra training samples beyond the original samples. While today's DA methods can generate…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Yuhang Zheng , Zhen Wang , Long Chen

Considerable research attention has been paid to table detection by developing not only rule-based approaches reliant on hand-crafted heuristics but also deep learning approaches. Although recent studies successfully perform table detection…

Machine Learning · Computer Science 2022-11-15 Hyebin Kwon , Joungbin An , Dongwoo Lee , Won-Yong Shin