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Formal concept analysis (FCA) is a useful mathematical tool for obtaining information from relational datasets. One of the most interesting research goals in FCA is the selection of the most representative variables of the dataset, which is…

Data Structures and Algorithms · Computer Science 2024-09-25 Roberto G. Aragón , Jesús Medina , Eloísa Ramírez-Poussa

Automatic modulation classification (AMC) is of crucial importance for realizing wireless intelligence communications. Many deep learning based models especially convolution neural networks (CNNs) have been proposed for AMC. However, the…

Signal Processing · Electrical Eng. & Systems 2021-08-24 Hao Zhang , Lu Yuan , Guangyu Wu , Fuhui Zhou , Qihui Wu

Classical methods of DOA estimation such as the MUSIC algorithm are based on estimating the signal and noise subspaces from the sample covariance matrix. For a small number of samples, such methods are exposed to performance breakdown, as…

Statistics Theory · Mathematics 2023-07-19 Mahdi Shaghaghi , Sergiy A. Vorobyov

Neural learning rules for principal component / subspace analysis (PCA / PSA) can be derived by maximizing an objective function (summed variance of the projection on the subspace axes) under an orthonormality constraint. For a subspace…

Optimization and Control · Mathematics 2020-05-29 Ralf Möller

In studies on complex network systems using graph theory, eigen-analysis is typically performed on an undirected graph model of the network. However, when analyzing cascading failures in a power system, the interactions among failures…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhenping Guo , Xiaowen Su , Kai Sun , Byungkwon Park , Srdjan Simunovic

Recent research in molecular discovery has primarily been devoted to small, drug-like molecules, leaving many similarly important applications in material design without adequate technology. These applications often rely on more complex…

Statistical modal Energy distribution Analysis (SmEdA) can be used as an alternative to Statistical Energy Analysis for describing subsystems with low modal overlap. In its original form, SmEdA predicts the power flow exchanged between the…

Classical Physics · Physics 2013-11-04 Laurent Maxit , Kerem Ege , Nicolas Totaro , Jean-Louis Guyader

The success of algorithms in the analysis of high-dimensional data is often attributed to the manifold hypothesis, which supposes that this data lie on or near a manifold of much lower dimension. It is often useful to determine or estimate…

Machine Learning · Statistics 2024-09-10 Anna C. Gilbert , Kevin O'Neill

In recent years, the accumulation of data across various institutions has garnered attention for the technology of confidential data analysis, which improves analytical accuracy by sharing data between multiple institutions while protecting…

Machine Learning · Computer Science 2024-04-23 Yuta Kawakami , Yuichi Takano , Akira Imakura

Unsupervised domain adaptation (UDA) methods facilitate the transfer of models to target domains without labels. However, these methods necessitate a labeled target validation set for hyper-parameter tuning and model selection. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Minghao Chen , Zepeng Gao , Shuai Zhao , Qibo Qiu , Wenxiao Wang , Binbin Lin , Xiaofei He

This study investigates the use of symbolic computation in Matrix Structural Analysis (MSA) for continuous beams, leveraging the MATLAB Symbolic Math Toolbox. By employing symbolic MSA, analytical expressions for displacements, support…

Computational Engineering, Finance, and Science · Computer Science 2024-11-07 Vagelis Plevris , Afaq Ahmad

Deep neural networks can model images with rich latent representations, but they cannot naturally conceptualize structures of object categories in a human-perceptible way. This paper addresses the problem of learning object structures in an…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Yuting Zhang , Yijie Guo , Yixin Jin , Yijun Luo , Zhiyuan He , Honglak Lee

Utilizing recently developed abstract notions of sectional curvature, we introduce a method for constructing a curvature-based geometric profile of discrete metric spaces. The curvature concept that we use here captures the metric relations…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Charlotte Beylier , Parvaneh Joharinad , Jürgen Jost , Nahid Torbati

To learn semantic attributes, existing methods typically train one discriminative model for each word in a vocabulary of nameable properties. However, this "one model per word" assumption is problematic: while a word might have a precise…

Computer Vision and Pattern Recognition · Computer Science 2015-05-18 Adriana Kovashka , Kristen Grauman

Anomaly detection is commonly pursued as a one-class classification problem, where models can only learn from normal training samples, while being evaluated on both normal and abnormal test samples. Among the successful approaches for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Nicolae-Catalin Ristea , Neelu Madan , Radu Tudor Ionescu , Kamal Nasrollahi , Fahad Shahbaz Khan , Thomas B. Moeslund , Mubarak Shah

The present paper proposes an encoder-decoder model for extracting the structures of human motions represented by frame-wise discrete features in a self-supervised manner. In the proposed method, features are extracted as codes in a motion…

Computer Vision and Pattern Recognition · Computer Science 2023-09-13 Tetsuya Abe , Ryusuke Sagawa , Ko Ayusawa , Wataru Takano

The eigencurve is a powerful tool introduced by Coleman and Mazur to study $p$-adic families of overconvergent modular forms. In this article, we introduce an analogous set of tools for understanding families of "overconvergent" $p$-adic…

Number Theory · Mathematics 2019-09-27 James Upton

This paper discusses the application of Dynamic Mode Decomposition (DMD) to the extraction of modal properties of linear mechanical systems, i.e., experimental modal analysis (EMA). First, theoretical background of the DMD is briefly…

Dynamical Systems · Mathematics 2026-03-17 Akira Saito , Tomohiro Kuno

Anomaly detection (such as telecom fraud detection and medical image detection) has attracted the increasing attention of people. The complex interaction between multiple entities widely exists in the network, which can reflect specific…

Machine Learning · Computer Science 2024-06-10 Xu Yuan , Na Zhou , Shuo Yu , Huafei Huang , Zhikui Chen , Feng Xia

Incorporating additional sensory modalities such as tactile and audio into foundational robotic models poses significant challenges due to the curse of dimensionality. This work addresses this issue through modality selection. We propose a…

Robotics · Computer Science 2025-04-22 Jiawei Jiang , Kei Ota , Devesh K. Jha , Asako Kanezaki