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Discriminant analysis, including linear discriminant analysis (LDA) and quadratic discriminant analysis (QDA), is a popular approach to classification problems. It is well known that LDA is suboptimal to analyze heteroscedastic data, for…

Methodology · Statistics 2023-10-17 Ruiyang Wu , Ning Hao

The intrinsically infinite-dimensional features of the functional observations over multidimensional domains render the standard classification methods effectively inapplicable. To address this problem, we introduce a novel multiclass…

Machine Learning · Computer Science 2023-05-25 Shuoyang Wang , Guanqun Cao

We propose a compressive classification framework for settings where the data dimensionality is significantly higher than the sample size. The proposed method, referred to as compressive regularized discriminant analysis (CRDA) is based on…

Machine Learning · Statistics 2020-11-13 Muhammad Naveed Tabassum , Esa Ollila

Linear discriminant analysis (LDA) is a fundamental method for feature extraction and dimensionality reduction. Despite having many variants, classical LDA has its own importance, as it is a keystone in human knowledge about statistical…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Sayed Kamaledin Ghiasi-Shirazi

Linear discriminant analysis (LDA) has been a useful tool in pattern recognition and data analysis research and practice. While linearity of class boundaries cannot always be expected, nonlinear projections through pre-trained deep neural…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Jiahui Liu , Xiaohao Cai , Mahesan Niranjan

Unsupervised Domain Adaptation (UDA) addresses the problem of performance degradation due to domain shift between training and testing sets, which is common in computer vision applications. Most existing UDA approaches are based on…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Songsong Wu , Yan Yan , Hao Tang , Jianjun Qian , Jian Zhang , Xiao-Yuan Jing

The Fourier representation for the uniform distribution over the Boolean cube has found numerous applications in algorithms and complexity analysis. Notably, in learning theory, learnability of Disjunctive Normal Form (DNF) under uniform as…

Data Structures and Algorithms · Computer Science 2025-06-03 Mohsen Heidari , Roni Khardon

There has been a significant recent surge in deep neural network (DNN) techniques. Most of the existing DNN techniques have restricted model formats/assumptions. To overcome their limitations, we propose the nonparametric transformation…

Methodology · Statistics 2024-10-28 Tong Wang , Shunqin Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Various information factors are blended in speech signals, which forms the primary difficulty for most speech information processing tasks. An intuitive idea is to factorize speech signal into individual information factors (e.g., phonetic…

Sound · Computer Science 2020-10-28 Haoran Sun , Lantian Li , Yunqi Cai , Yang Zhang , Thomas Fang Zheng , Dong Wang

We introduce the DNNLikelihood, a novel framework to easily encode, through Deep Neural Networks (DNN), the full experimental information contained in complicated likelihood functions (LFs). We show how to efficiently parametrise the LF,…

High Energy Physics - Phenomenology · Physics 2020-08-26 Andrea Coccaro , Maurizio Pierini , Luca Silvestrini , Riccardo Torre

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

Deep speaker embedding represents the state-of-the-art technique for speaker recognition. A key problem with this approach is that the resulting deep speaker vectors tend to be irregularly distributed. In previous research, we proposed a…

Sound · Computer Science 2020-11-02 Yunqi Cai , Lantian Li , Dong Wang , Andrew Abel

Deep neural networks (DNNs) have proven successful in a wide variety of applications such as speech recognition and synthesis, computer vision, machine translation, and game playing, to name but a few. However, existing deep neural network…

Machine Learning · Computer Science 2022-08-08 Ramit Pahwa

Deep neural networks (DNNs) are computationally/memory-intensive and vulnerable to adversarial attacks, making them prohibitive in some real-world applications. By converting dense models into sparse ones, pruning appears to be a promising…

Machine Learning · Computer Science 2019-11-07 Yiwen Guo , Chao Zhang , Changshui Zhang , Yurong Chen

While deep neural networks (DNN) have become an effective computational tool, the prediction results are often criticized by the lack of interpretability, which is essential in many real-world applications such as health informatics.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Mengnan Du , Ninghao Liu , Qingquan Song , Xia Hu

Deep neural networks (DNN) have been used successfully in many scientific problems for their high prediction accuracy, but their application to genetic studies remains challenging due to their poor interpretability. In this paper, we…

Machine Learning · Computer Science 2021-10-01 Peyman H. Kassani , Fred Lu , Yann Le Guen , Zihuai He

Despite a lack of theoretical understanding, deep neural networks have achieved unparalleled performance in a wide range of applications. On the other hand, shallow representation learning with component analysis is associated with rich…

Machine Learning · Computer Science 2018-03-20 Calvin Murdock , Ming-Fang Chang , Simon Lucey

While remarkable success has been achieved through diffusion-based 3D generative models for shapes, 4D generative modeling remains challenging due to the complexity of object deformations over time. We propose DNF, a new 4D representation…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Xinyi Zhang , Naiqi Li , Angela Dai

In many social, economical, biological and medical studies, one objective is to classify a subject into one of several classes based on a set of variables observed from the subject. Because the probability distribution of the variables is…

Statistics Theory · Mathematics 2011-05-19 Jun Shao , Yazhen Wang , Xinwei Deng , Sijian Wang

Recent acoustic event classification research has focused on training suitable filters to represent acoustic events. However, due to limited availability of target event databases and linearity of conventional filters, there is still room…

Sound · Computer Science 2017-10-11 Seongkyu Mun , Minkyu Shin , Suwon Shon , Wooil Kim , David K. Han , Hanseok Ko