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Full-Text Articles in Physical Sciences and Mathematics

Measuring Localization Confidence For Quantifying Accuracy And Heterogeneity In Single-Molecule Super-Resolution Microscopy, Hesam Mazidi, Tianben Ding, Arye Nehorai, Matthew D. Lew Feb 2020

Measuring Localization Confidence For Quantifying Accuracy And Heterogeneity In Single-Molecule Super-Resolution Microscopy, Hesam Mazidi, Tianben Ding, Arye Nehorai, Matthew D. Lew

Electrical & Systems Engineering Publications and Presentations

We present a computational method, termed Wasserstein-induced flux (WIF), to robustly quantify the accuracy of individual localizations within a single-molecule localization microscopy (SMLM) dataset without ground- truth knowledge of the sample. WIF relies on the observation that accurate localizations are stable with respect to an arbitrary computational perturbation. Inspired by optimal transport theory, we measure the stability of individual localizations and develop an efficient optimization algorithm to compute WIF. We demonstrate the advantage of WIF in accurately quantifying imaging artifacts in high-density reconstruction of a tubulin network. WIF represents an advance in quantifying systematic errors with unknown and complex distributions, …


Estimation Of A Noisy Subordinated Brownian Motion Via Two-Scales Power Variations, José E. Figueroa-López, Kiseop Lee Oct 2017

Estimation Of A Noisy Subordinated Brownian Motion Via Two-Scales Power Variations, José E. Figueroa-López, Kiseop Lee

Mathematics Faculty Publications

High frequency based estimation methods for a semiparametric pure-jump subordinated Brownian motion exposed to a small additive microstructure noise are developed building on the two-scales realized variations approach originally developed by Zhang et al. (2005) for the estimation of the integrated variance of a continuous Itô process. The proposed estimators are shown to be robust against the noise and, surprisingly, to attain better rates of convergence than their precursors, method of moment estimators, even in the absence of microstructure noise. Our main results give approximate optimal values for the number K of regular sparse subsamples to be used, which is …


Poverty And Disability: A Vicious Circle? Evidence From Afghanistan And Zambia, Jean-Francois Trani, Mitchell M. Loeb Jan 2012

Poverty And Disability: A Vicious Circle? Evidence From Afghanistan And Zambia, Jean-Francois Trani, Mitchell M. Loeb

Brown School Faculty Publications

Disability and poverty have a complex and interdependent relationship. It is commonly understood that persons with disabilities are more likely to be poor and that poverty may contribute to sustaining disability. This interdependency is revealed not only through an examination of poverty in terms of income but also on a broader scale through other poverty related dimensions. Just how robust is this link? This paper compares data collected from household surveys in Afghanistan and Zambia, and explores the potential link between multidimensional poverty and disability. We find evidence of lower access to health care, education and labour market for people …


Poverty, Vulnerability, And Provision Of Healthcare In Afghanistan, Jean-Francois Trani, Parul Bakhshi, Ayan A. Noor, Dominque Lopez, Ashraf Mashkoor Mar 2010

Poverty, Vulnerability, And Provision Of Healthcare In Afghanistan, Jean-Francois Trani, Parul Bakhshi, Ayan A. Noor, Dominque Lopez, Ashraf Mashkoor

Brown School Faculty Publications

This paper presents findings on conditions of healthcare delivery in Afghanistan. There is an ongoing debate about barriers to healthcare in low-income as well as fragile states. In 2002, the Government of Afghanistan established a Basic Package of Health Services (BPHS), contracting primary healthcare delivery to non-state providers. The priority was to give access to the most vulnerable groups: women, children, disabled persons, and the poorest households. In 2005, we conducted a nationwide survey, and using a logistic regression model, investigated provider choice. We also measured associations between perceived availability and usefulness of healthcare providers. Our results indicate that the …