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Tensor classification has become increasingly crucial in statistics and machine learning, with applications spanning neuroimaging, computer vision, and recommendation systems. However, the high dimensionality of tensors presents significant…

统计方法学 · 统计学 2024-09-24 Elynn Chen , Yuefeng Han , Jiayu Li

The lasso has been studied extensively as a tool for estimating the coefficient vector in the high-dimensional linear model; however, considerably less is known about estimating the error variance in this context. In this paper, we propose…

统计方法学 · 统计学 2019-07-22 Guo Yu , Jacob Bien

The Linear Parameter-Varying (LPV) framework provides a modeling and control design toolchain to address nonlinear (NL) system behavior via linear surrogate models. Despite major research effort on LPV data-driven modeling, a key…

系统与控制 · 电气工程与系统科学 2022-10-28 Chris Verhoek , Gerben I. Beintema , Sofie Haesaert , Maarten Schoukens , Roland Tó th

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

统计计算 · 统计学 2026-02-12 Jocelyn T. Chi

One of the central issues of several machine learning applications on real data is the choice of the input features. Ideally, the designer should select only the relevant, non-redundant features to preserve the complete information…

机器学习 · 计算机科学 2023-03-28 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

This paper proposes a novel multimodal deep learning framework integrating bidirectional LSTM, multi-head attention mechanism, and variational mode decomposition (BiLSTM-AM-VMD) for early liver cancer diagnosis. Using heterogeneous data…

机器学习 · 计算机科学 2025-09-03 Cheng Cheng , Zeping Chen , Xavier Wang

Lane detection plays a pivotal role in the field of autonomous vehicles and advanced driving assistant systems (ADAS). Despite advances from image processing to deep learning based models, algorithm performance is highly dependent on…

计算机视觉与模式识别 · 计算机科学 2023-08-21 Zillur Rahman , Brendan Tran Morris

We develop a novel deep learning technique, termed Deep Orthogonal Decomposition (DOD), for dimensionality reduction and reduced order modeling of parameter dependent partial differential equations. The approach consists in the construction…

数值分析 · 数学 2024-05-15 Nicola Rares Franco , Andrea Manzoni , Paolo Zunino , Jan S. Hesthaven

High dimension low sample size statistical analysis is important in a wide range of applications. In such situations, the highly appealing discrimination method, support vector machine, can be improved to alleviate data piling at the…

最优化与控制 · 数学 2017-08-18 Xin Yee Lam , J. S. Marron , Defeng Sun , Kim-Chuan Toh

Radiation therapy has emerged as one of the preferred techniques to treat brain cancer patients. During treatment, a very high dose of radiation is delivered to a very narrow area. Prescribed radiation therapy for brain cancer requires…

计算机视觉与模式识别 · 计算机科学 2017-04-06 Jose Dolz , Nicolas Reyns , Nacim Betrouni , Dris Kharroubi , Mathilde Quidet , Laurent Massoptier , Maximilien Vermandel

Osteosarcoma (OS) is an aggressive primary bone malignancy. Accurate histopathological assessment of viable versus non-viable tumor regions after neoadjuvant chemotherapy is critical for prognosis and treatment planning, yet manual…

计算机视觉与模式识别 · 计算机科学 2026-01-15 Yaxi Chen , Zi Ye , Shaheer U. Saeed , Oliver Yu , Simin Ni , Jie Huang , Yipeng Hu

We introduce a new computer aided detection and diagnosis system for lung cancer screening with low-dose CT scans that produces meaningful probability assessments. Our system is based entirely on 3D convolutional neural networks and…

计算机视觉与模式识别 · 计算机科学 2020-01-22 Onur Ozdemir , Rebecca L. Russell , Andrew A. Berlin

We propose a novel convolutional neural network (CNN), called $\Psi$DONet, designed for learning pseudodifferential operators ($\Psi$DOs) in the context of linear inverse problems. Our starting point is the Iterative Soft Thresholding…

最优化与控制 · 数学 2020-06-03 Tatiana A. Bubba , Mathilde Galinier , Matti Lassas , Marco Prato , Luca Ratti , Samuli Siltanen

The goal of this tutorial is to introduce key models, algorithms, and open questions related to the use of optimization methods for solving problems arising in machine learning. It is written with an INFORMS audience in mind, specifically…

机器学习 · 统计学 2017-07-03 Frank E. Curtis , Katya Scheinberg

Differentiating the intrinsic subtypes of breast cancer is crucial for deciding the best treatment strategy. Deep learning can predict the subtypes from genetic information more accurately than conventional statistical methods, but to date,…

Early diagnosis of cancer often allows for a more vast choice of therapy opportunities. After a cancer diagnosis, staging provides essential information about the extent of disease in the body and the expected response to a particular…

计算机视觉与模式识别 · 计算机科学 2020-08-06 Mario D'Acunto , Massimo Martinelli , Davide Moroni

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

机器学习 · 统计学 2012-03-07 Brian McWilliams , Giovanni Montana

This paper presents Deep Dynamic Probabilistic Canonical Correlation Analysis (D2PCCA), a model that integrates deep learning with probabilistic modeling to analyze nonlinear dynamical systems. Building on the probabilistic extensions of…

机器学习 · 计算机科学 2025-02-10 Shiqin Tang , Shujian Yu , Yining Dong , S. Joe Qin

Predict-then-Optimize (PTO) pipelines are widely employed in computing and networked systems, where Machine Learning (ML) models are used to predict critical contextual information for downstream decision-making tasks such as cloud LLM…

机器学习 · 计算机科学 2026-02-04 Jiaqi Wen , Lei Fan , Jianyi Yang

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

机器学习 · 计算机科学 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis