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This paper explores the null space properties of neural networks. We extend the null space definition from linear to nonlinear maps and discuss the presence of a null space in neural networks. The null space of a given neural network can…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Xiang Li , Kevin M. Short

Most neural network-based classifiers extract features using several hidden layers and make predictions at the output layer by utilizing these extracted features. We observe that not all features are equally pronounced in all classes; we…

Machine Learning · Computer Science 2022-11-22 Yifan Hao , Huiping Cao , K. Selcuk Candan , Jiefei Liu , Huiying Chen , Ziwei Ma

The objective of Continual Test-time Domain Adaptation (CTDA) is to gradually adapt a pre-trained model to a sequence of target domains without accessing the source data. This paper proposes a Dynamic Sample Selection (DSS) method for CTDA.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Yanshuo Wang , Jie Hong , Ali Cheraghian , Shafin Rahman , David Ahmedt-Aristizabal , Lars Petersson , Mehrtash Harandi

Linear Discriminant Analysis (LDA) is a fundamental method for classification. Its simple linear structure facilitates interpretation, and it is naturally suited to multi-class settings. LDA is also closely connected to several classical…

Methodology · Statistics 2026-04-09 Xin Bing , Bingqing Li , Marten Wegkamp

Streaming Linear Discriminant Analysis (LDA) while proven in Class-incremental Learning deployments at the edge with limited classes (upto 1000), has not been proven for deployment in extreme classification scenarios. In this paper, we…

Machine Learning · Computer Science 2023-07-24 Karan Shah , Vishruth Veerendranath , Anushka Hebbar , Raghavendra Bhat

Unsupervised domain adaptation~(UDA) aims at reducing the distribution discrepancy when transferring knowledge from a labeled source domain to an unlabeled target domain. Previous UDA methods assume that the source and target domains share…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Chuan-Xian Ren , Pengfei Ge , Peiyi Yang , Shuicheng Yan

Addressing Out-Of-Distribution (OOD) Segmentation and Zero-Shot Semantic Segmentation (ZS3) is challenging, necessitating segmenting unseen classes. Existing strategies adapt the class-agnostic Mask2Former (CA-M2F) tailored to specific…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Hao Zhang , Fang Li , Lu Qi , Ming-Hsuan Yang , Narendra Ahuja

Unsupervised domain adaptation (UDA) aims to transfer and adapt knowledge from a labeled source domain to an unlabeled target domain. Traditionally, subspace-based methods form an important class of solutions to this problem. Despite their…

Machine Learning · Computer Science 2022-01-07 Kowshik Thopalli , Jayaraman J Thiagarajan , Rushil Anirudh , Pavan K Turaga

We present a novel view of nonlinear manifold learning using derivative-free optimization techniques. Specifically, we propose an extension of the classical multi-dimensional scaling (MDS) method, where instead of performing gradient…

As an important and challenging problem in computer vision, zero-shot learning (ZSL) aims at automatically recognizing the instances from unseen object classes without training data. To address this problem, ZSL is usually carried out in…

Computer Vision and Pattern Recognition · Computer Science 2017-03-28 Yunlong Yu , Zhong Ji , Xi Li , Jichang Guo , Zhongfei Zhang , Haibin Ling , Fei Wu

Stationary subspace analysis (SSA) is a blind source separation framework that decomposes linearly mixed multivariate data into stationary and nonstationary components. We extend SSA to spatially indexed data by introducing spatial…

Methodology · Statistics 2026-05-20 Perttu Saarela , Klaus Nordhausen , Jaakko Pere , Anne M. Ruiz

This Generalized Discriminant Analysis (GDA) has provided an extremely powerful approach to extracting non linear features. The network traffic data provided for the design of intrusion detection system always are large with ineffective…

Cryptography and Security · Computer Science 2009-11-05 Shailendra Singh , Sanjay Silakari

Embedding discrete solvers as differentiable layers has given modern deep learning architectures combinatorial expressivity and discrete reasoning capabilities. The derivative of these solvers is zero or undefined, therefore a meaningful…

Machine Learning · Computer Science 2024-12-16 Subham Sekhar Sahoo , Anselm Paulus , Marin Vlastelica , Vít Musil , Volodymyr Kuleshov , Georg Martius

Unsupervised Domain Adaptation (UDA) aims to align the labeled source distribution with the unlabeled target distribution to obtain domain invariant predictive models. However, the application of well-known UDA approaches does not…

Computer Vision and Pattern Recognition · Computer Science 2021-11-11 Ankit Singh

Fisher Discriminant Analysis (FDA) is a subspace learning method which minimizes and maximizes the intra- and inter-class scatters of data, respectively. Although, in FDA, all the pairs of classes are treated the same way, some classes are…

Machine Learning · Statistics 2020-07-01 Benyamin Ghojogh , Milad Sikaroudi , H. R. Tizhoosh , Fakhri Karray , Mark Crowley

Identifying low-dimensional latent structures within high-dimensional data has long been a central topic in the machine learning community, driven by the need for data compression, storage, transmission, and deeper data understanding.…

Machine Learning · Statistics 2025-03-28 Ye Tian , Sanyou Wu , Long Feng

We present a novel approach to the formulation and the resolution of sparse Linear Discriminant Analysis (LDA). Our proposal, is based on penalized Optimal Scoring. It has an exact equivalence with penalized LDA, contrary to the multi-class…

Machine Learning · Computer Science 2012-07-03 Luis Francisco Sanchez Merchante , Yves Grandvalet , Gerrad Govaert

Cross-modality retrieval encompasses retrieval tasks where the fetched items are of a different type than the search query, e.g., retrieving pictures relevant to a given text query. The state-of-the-art approach to cross-modality retrieval…

Information Retrieval · Computer Science 2018-04-17 Matthias Dorfer , Jan Schlüter , Andreu Vall , Filip Korzeniowski , Gerhard Widmer

Cost-sensitive classification is critical in applications where misclassification errors widely vary in cost. However, over-parameterization poses fundamental challenges to the cost-sensitive modeling of deep neural networks (DNNs). The…

Machine Learning · Computer Science 2024-04-01 Qiyuan Chen , Raed Al Kontar , Maher Nouiehed , Jessie Yang , Corey Lester

Unsupervised Domain Adaptation (UDA), which aims to explore the transferrable features from a well-labeled source domain to a related unlabeled target domain, has been widely progressed. Nevertheless, as one of the mainstream, existing…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Yumin Zhang , Yajun Gao , Hongliu Li , Ating Yin , Duzhen Zhang , Xiuyi Chen