Automated Author Profile

Lazar, Nicole A.

Current S-Index

233.2

Sum of Dataset Indices for all datasets

Average Dataset Index per Dataset

25.9

Average Dataset Index per dataset

Total Datasets

9

Total datasets for this author

Average FAIR Score

84.6%

Average FAIR Score per dataset

Total Citations

463

Total citations to the author's datasets

Total Mentions

0

Total mentions of the author's datasets

S-Index Interpretation

S-Index Over Time

Cumulative Citations Over Time

Cumulative Mentions Over Time

Datasets

Editorial

Editorial

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
1 Citation0 Mentions85% FAIR0.8 Dataset Index
10.6084/m9.figshare.30851622021

Editorial

Editorial

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
0 Citations0 Mentions85% FAIR0.5 Dataset Index
10.6084/m9.figshare.3085162.v72021

Persistence Terrace for Topological Inference of Point Cloud Data

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing function to convert the point cloud into a manifold and then apply persistent homology to a Morse filtration. A significant challenge is that this smoothing process involves the choice of a parameter and persistent homology is highly sensitive to that choice; moreover, important scale information is lost. We propose a novel topological summary plot, called a persistence terrace, that incorporates a wide range of smoothing parameters and is robust, multi-scale, and parameter-free. This plot allows one to isolate distinct topological signals that may have merged for any fixed value of the smoothing parameter, and it also allows one to infer the size and point density of the topological features. We illustrate our method in some simple settings where noise is a serious issue for existing frameworks and then we apply it to a real dataset by counting muscle fibers in a cross-sectional image. Supplementary material for this article is available online.

Authors

  • Moon, Chul ;
  • Giansiracusa, Noah ;
  • Lazar, Nicole A.
0 Citations0 Mentions85% FAIR0.6 Dataset Index
10.6084/m9.figshare.5758542.v12018

Persistence Terrace for Topological Inference of Point Cloud Data

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing function to convert the point cloud into a manifold and then apply persistent homology to a Morse filtration. A significant challenge is that this smoothing process involves the choice of a parameter and persistent homology is highly sensitive to that choice; moreover, important scale information is lost. We propose a novel topological summary plot, called a persistence terrace, that incorporates a wide range of smoothing parameters and is robust, multi-scale, and parameter-free. This plot allows one to isolate distinct topological signals that may have merged for any fixed value of the smoothing parameter, and it also allows one to infer the size and point density of the topological features. We illustrate our method in some simple settings where noise is a serious issue for existing frameworks and then we apply it to a real dataset by counting muscle fibers in a cross-sectional image. Supplementary material for this article is available online.

Authors

  • Moon, Chul ;
  • Giansiracusa, Noah ;
  • Lazar, Nicole A.
2 Citations0 Mentions85% FAIR1.5 Dataset Index
10.6084/m9.figshare.57585422018

The ASA's Statement on <i>p</i>-Values: Context, Process, and Purpose

The ASA's Statement on p-Values: Context, Process, and Purpose

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
0 Citations0 Mentions85% FAIR0.5 Dataset Index
10.6084/m9.figshare.3085162.v42016

The ASA's statement on p-values: context, process, and purpose

The ASA's statement on p-values: context, process, and purpose

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
168 Citations0 Mentions85% FAIR85.7 Dataset Index
10.6084/m9.figshare.3085162.v22016

The ASA's statement on p-values: context, process, and purpose

The ASA's statement on p-values: context, process, and purpose

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
0 Citations0 Mentions85% FAIR0.5 Dataset Index
10.6084/m9.figshare.3085162.v12016

The ASA's Statement on <i>p</i>-Values: Context, Process, and Purpose

The ASA's Statement on p-Values: Context, Process, and Purpose

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
1 Citation0 Mentions85% FAIR0.8 Dataset Index
10.6084/m9.figshare.3085162.v52016

The ASA's statement on p-values: context, process, and purpose

The ASA's statement on p-values: context, process, and purpose

Authors

  • Wasserstein, Ronald L. ;
  • Lazar, Nicole A.
291 Citations0 Mentions85% FAIR142.2 Dataset Index
10.6084/m9.figshare.3085162.v32016