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A new model-based procedure is developed for sparse clustering of functional data that aims to classify a sample of curves into homogeneous groups while jointly detecting the most informative portions of domain. The proposed method is…

Methodology · Statistics 2023-10-04 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

In this paper, we propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously in a scalar-on-function regression problem under high-dimensional multivariate functional data setting.…

Methodology · Statistics 2022-05-04 Ali Mahzarnia , Jun Song

To accelerate kernel methods, we propose a near input sparsity time algorithm for sampling the high-dimensional feature space implicitly defined by a kernel transformation. Our main contribution is an importance sampling method for…

Data Structures and Algorithms · Computer Science 2020-07-15 David P. Woodruff , Amir Zandieh

In this paper, we propose a Network-Weighted Functional Regression (NWFR) model, an extension of Spatially Weighted Functional Regression (SWFR) to functional data defined on network-structured settings. To asses predictive uncertainity, we…

Methodology · Statistics 2025-06-02 Elvira Romano , Antonio Irpino , Claire Miller

Motivated by the abundance of functional data such as time series and images, there has been a growing interest in integrating such data into neural networks and learning maps from function spaces to R (i.e., functionals). In this paper, we…

Machine Learning · Statistics 2024-03-20 Tian-Yi Zhou , Namjoon Suh , Guang Cheng , Xiaoming Huo

The K-means algorithm is among the most commonly used data clustering methods. However, the regular K-means can only be applied in the input space and it is applicable when clusters are linearly separable. The kernel K-means, which extends…

Machine Learning · Computer Science 2020-12-08 Amir Aradnia , Maryam Amir Haeri , Mohammad Mehdi Ebadzadeh

Spatial classification with limited feature observations has been a challenging problem in machine learning. The problem exists in applications where only a subset of sensors are deployed at certain spots or partial responses are collected…

Machine Learning · Computer Science 2020-09-03 Arpan Man Sainju , Wenchong He , Zhe Jiang , Da Yan , Haiquan Chen

We consider the problem of predicting a real random variable from a functional explanatory variable. The problem is attacked by mean of nonparametric kernel approach which has been recently adapted to this functional context. We derive…

Statistics Theory · Mathematics 2016-08-16 Frédéric Ferraty , André Mas , Philippe Vieu

Functional MRI (fMRI) is widely used to examine brain functionality by detecting alteration in oxygenated blood flow that arises with brain activity. In this study, complexity specific image categorization across different visual datasets…

Image and Video Processing · Electrical Eng. & Systems 2023-09-08 Vamshi K. Kancharala , Debanjali Bhattacharya , Neelam Sinha

Quantum Support Vector Machine is a kernel-based approach to classification problems. We study the applicability of quantum kernels to financial data, specifically our self-curated Dhaka Stock Exchange (DSEx) Broad Index dataset. To the…

Quantum Physics · Physics 2024-12-17 Seemanta Bhattacharjee , MD. Muhtasim Fuad , A. K. M. Fakhrul Hossain

In this paper we focus on the linear functionals defining an approximate version of the gradient of a function. These functionals are often used when dealing with optimization problems where the computation of the gradient of the objective…

Optimization and Control · Mathematics 2021-05-21 Marco Boresta , Tommaso Colombo , Alberto De Santis , Stefano Lucidi

In quantum and quantum-inspired machine learning, the very first step is to embed the data in quantum space known as Hilbert space. Developing quantum kernel function (QKF), which defines the distances among the samples in the Hilbert…

Quantum Physics · Physics 2022-08-15 Wei-Ming Li , Shi-Ju Ran

One central theme in machine learning is function estimation from sparse and noisy data. An example is supervised learning where the elements of the training set are couples, each containing an input location and an output response. In the…

Machine Learning · Computer Science 2023-10-05 Alberto Giaretta , Mauro Bisiacco , Gianluigi Pillonetto

The clustering for functional data with misaligned problems has drawn much attention in the last decade. Most methods do the clustering after those functional data being registered and there has been little research using both functional…

Methodology · Statistics 2017-11-15 Pengcheng Zeng , Jian Qing Shi , Won-Seok Kim

Fine-grained category discovery using only coarse-grained supervision is a cost-effective yet challenging task. Previous training methods focus on aligning query samples with positive samples and distancing them from negatives. They often…

Artificial Intelligence · Computer Science 2025-02-07 Chang Tian , Matthew B. Blaschko , Wenpeng Yin , Mingzhe Xing , Yinliang Yue , Marie-Francine Moens

Recognizing degraded faces from low resolution and blurred images are common yet challenging task. Local Frequency Descriptor (LFD) has been proved to be effective for this task yet it is extracted from a spatial neighborhood of a pixel of…

Computer Vision and Pattern Recognition · Computer Science 2012-10-04 Guangling Sun , Guoqing Li , Xinpeng Zhang

Federated Learning aims at training a global model from multiple decentralized devices (i.e. clients) without exchanging their private local data. A key challenge is the handling of non-i.i.d. (independent identically distributed) data…

Machine Learning · Computer Science 2022-07-20 Xin Dong , Sai Qian Zhang , Ang Li , H. T. Kung

Kernel learning methods are among the most effective learning methods and have been vigorously studied in the past decades. However, when tackling with complicated tasks, classical kernel methods are not flexible or "rich" enough to…

Machine Learning · Computer Science 2019-10-08 Jiaxuan Xie , Fanghui Liu , Kaijie Wang , Xiaolin Huang

Multi-manifold modeling is increasingly used in segmentation and data representation tasks in computer vision and related fields. While the general problem, modeling data by mixtures of manifolds, is very challenging, several approaches…

Computer Vision and Pattern Recognition · Computer Science 2012-10-08 G. Chen , S. Atev , G. Lerman

Although multi-view unsupervised feature selection (MUFS) has demonstrated success in dimensionality reduction for unlabeled multi-view data, most existing methods reduce feature redundancy by focusing on linear correlations among features…

Machine Learning · Computer Science 2026-01-30 Yalan Tan , Yanyong Huang , Zongxin Shen , Dongjie Wang , Fengmao Lv , Tianrui Li
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