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Jana Janková

dblp:288/4315 · DBLP profile ↗
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1ranked-venue papers
1as first author
1since 2021 · last 2021
0000-0001-6461-5678ORCID · reported

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 1 · 1 first-author · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Artificial intelligence
1 paper
Learning theory · 50% Trustworthy machine learning · 50%
Theoretical computer science
1 paper
Algorithms and data structures · 100%

Topics — the 4 heaviest of 4, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Machine learning › Learning theory
high-dimensional statistics
0.512021
De-Biased Sparse PCA: Inference for Eigenstructure of Large Covariance Matrices · IEEE Trans. Inf. Theory 2021
Machine learning › Trustworthy machine learning
uncertainty estimation
0.512021
De-Biased Sparse PCA: Inference for Eigenstructure of Large Covariance Matrices · IEEE Trans. Inf. Theory 2021
Algorithms and data structures › numerical linear algebra
dimensionality reduction
0.512021
De-Biased Sparse PCA: Inference for Eigenstructure of Large Covariance Matrices · IEEE Trans. Inf. Theory 2021
Algorithms and data structures › numerical linear algebra › dimensionality reduction › principal component analysis
sparse principal component analysis
0.512021
De-Biased Sparse PCA: Inference for Eigenstructure of Large Covariance Matrices · IEEE Trans. Inf. Theory 2021

Methods — techniques the papers use, named apart from their topics

m-estimator · 1.0lasso penalty · 1.0debiasing · 1.0
YearPublicationVenuePosition
2021 De-Biased Sparse PCA: Inference for Eigenstructure of Large Covariance Matrices
abstract
Sparse principal component analysis has become one of the most widely used techniques for dimensionality reduction in high-dimensional datasets. While many methods are available for point estimation of eigenstructure in high-dimensional settings, in this paper we propose methodology for uncertainty quantification, such as construction of confidence intervals and tests for the principal eigenvector and the corresponding largest eigenvalue. We base our methodology on an M-estimator with Lasso penalty which achieves minimax optimal rates and is used to construct a de-biased sparse PCA estimator. The novel estimator has a Gaussian limiting distribution and can be used for hypothesis testing or support recovery of the first eigenvector. The empirical performance of the new estimator is demonstrated on synthetic data and we also show that the estimator compares favourably with the classical PCA in moderately high-dimensional regimes.
Jana Janková, Sara A. van de Geer
IEEE Trans. Inf. Theory1