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Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

机器学习 · 统计学 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

Canonical correlation analysis (CCA) is a state-of-the-art method for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interface (BCI) systems. Various extended methods have been developed, and…

神经元与认知 · 定量生物学 2018-07-03 Yangsong Zhang , Erwei Yin , Fali Li , Yu Zhang , Toshihisa Tanaka , Qibin Zhao , Yan Cui , Peng Xu , Dezhong Yao , Daqing Guo

Regularized variants of Principal Components Analysis, especially Sparse PCA and Functional PCA, are among the most useful tools for the analysis of complex high-dimensional data. Many examples of massive data, have both sparse and…

机器学习 · 统计学 2019-08-21 Genevera I. Allen , Michael Weylandt

We address the problem of defining a group sparse formulation for Principal Components Analysis (PCA) - or its equivalent formulations as Low Rank approximation or Dictionary Learning problems - which achieves a compromise between…

机器学习 · 统计学 2021-01-15 Marie Chavent , Guy Chavent

We study the problem of acoustic feature learning in the setting where we have access to another (non-acoustic) modality for feature learning but not at test time. We use deep variational canonical correlation analysis (VCCA), a recently…

计算机视觉与模式识别 · 计算机科学 2017-09-01 Qingming Tang , Weiran Wang , Karen Livescu

This paper introduces a novel sparse latent factor modeling framework using sparse asymptotic Principal Component Analysis (APCA) to analyze the co-movements of high-dimensional panel data over time. Unlike existing methods based on sparse…

统计方法学 · 统计学 2025-08-08 Zhaoxing Gao

In this paper, we consider the sparse eigenvalue problem wherein the goal is to obtain a sparse solution to the generalized eigenvalue problem. We achieve this by constraining the cardinality of the solution to the generalized eigenvalue…

机器学习 · 统计学 2009-10-13 Bharath Sriperumbudur , David Torres , Gert Lanckriet

A standard approach for assessing the performance of partition models is to create synthetic data sets with a prespecified clustering structure, and assess how well the model reveals this structure. A common format is that subjects are…

统计方法学 · 统计学 2025-07-08 Michail Papathomas

Classification with a sparsity constraint on the solution plays a central role in many high dimensional machine learning applications. In some cases, the features can be grouped together so that entire subsets of features can be selected or…

机器学习 · 计算机科学 2014-09-05 Nikhil Rao , Robert Nowak , Christopher Cox , Timothy Rogers

Classic and deep generalized canonical correlation analysis (GCCA) algorithms seek low-dimensional common representations of data entities from multiple ``views'' (e.g., audio and image) using linear transformations and neural networks,…

机器学习 · 计算机科学 2023-04-05 Sagar Shrestha , Xiao Fu

Variable selection for models including interactions between explanatory variables often needs to obey certain hierarchical constraints. The weak or strong structural hierarchy requires that the existence of an interaction term implies at…

统计理论 · 数学 2016-11-10 Yiyuan She , Zhifeng Wang , He Jiang

Numerous algorithms have been developed for Conditional Average Treatment Effect (CATE) estimation. In this paper, we first highlight a common issue where many algorithms exhibit inconsistent learning behavior for the same instance across…

机器学习 · 计算机科学 2025-07-08 Yi-Fu Fu , Keng-Te Liao , Shou-De Lin

Combining the predictions of multiple trained models through ensembling is generally a good way to improve accuracy by leveraging the different learned features of the models, however it comes with high computational and storage costs.…

机器学习 · 计算机科学 2024-07-09 Stefan Horoi , Albert Manuel Orozco Camacho , Eugene Belilovsky , Guy Wolf

In cancer research, high-throughput profiling has been extensively conducted. In recent studies, the integrative analysis of data on multiple cancer patient groups/subgroups has been conducted. Such analysis has the potential to reveal the…

统计方法学 · 统计学 2022-12-01 Yifan Sun , Zhengyang Sun , Yu Jiang , Yang Li , Shuangge Ma

This paper investigates the intrinsic group structures within the framework of large-dimensional approximate factor models, which portrays homogeneous effects of the common factors on the individuals that fall into the same group. To this…

统计方法学 · 统计学 2025-03-18 Yong He , Dong Liu , Guangming Pan , Yiming Wang

Blind source separation (BSS) is one of the most important and established research topics in signal processing and many algorithms have been proposed based on different statistical properties of the source signals. For second-order…

数值分析 · 数学 2014-03-11 Wei Liu

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is performed by solving an L1-regularized linear regression problem, commonly referred to as Lasso or Basis Pursuit. In this…

机器学习 · 统计学 2015-05-19 Pablo Sprechmann , Ignacio Ramírez , Guillermo Sapiro , Yonina Eldar

Recently the widely used multi-view learning model, Canonical Correlation Analysis (CCA) has been generalised to the non-linear setting via deep neural networks. Existing deep CCA models typically first decorrelate the feature dimensions of…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Xiaobin Chang , Tao Xiang , Timothy M. Hospedales

Vine copulas allow to build flexible dependence models for an arbitrary number of variables using only bivariate building blocks. The number of parameters in a vine copula model increases quadratically with the dimension, which poses new…

统计方法学 · 统计学 2018-11-20 Thomas Nagler , Christian Bumann , Claudia Czado

The urban intersection is a typically dynamic and complex scenario for intelligent vehicles, which exists a variety of driving behaviors and traffic participants. Accurately modelling the driver behavior at the intersection is essential for…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Zirui Li , Chao Lu , Cheng Gong , Cheng Gong , Jinghang Li , Lianzhen Wei
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