Evidence map›Paper›PMID 33833473›Full record

ArticleMathematical programming2019

Gradient Descent with Random Initialization: Fast Global Convergence for Nonconvex Phase Retrieval.

Yuxin Chen, Yuejie Chi, Jianqing Fan, Cong Ma

Abstract read
In one paragraph

Article in Mathematical programming, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.

0numbers the graph read from it
0cells of the map it votes in
14citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

14 citing papers in PubMed.

  1. Article
  2. Pneumatically-Actuated Liquid Metal-Based Frequency Reconfigurable Antenna.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026
    Article
  3. Review
  4. Wasserstein F-tests for Fréchet regression on Bures-Wasserstein manifolds.Journal of machine learning research : JMLR · 2025
    Article
  5. Article
  6. Review
  7. Approximate message passing from random initialization with applications toProceedings of the National Academy of Sciences of the United States of America · 2023
    Article
  8. Article
  9. Article
  10. Article
  11. A selective overview of deep learning.Statistical science : a review journal of the Institute of Mathematical Statistics · 2021
    Article
  12. Article
  13. NOISY MATRIX COMPLETION: UNDERSTANDING STATISTICAL GUARANTEES FOR CONVEX RELAXATION VIA NONCONVEX OPTIMIZATION.SIAM journal on optimization : a publication of the Society for Industrial and Applied Mathematics · 2020
    Article
  14. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Yuxin ChenDepartment of Electrical Engineering, Princeton University, Princeton, NJ 08544, USA.
Yuejie ChiDepartment of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
Jianqing FanDepartment of Operations Research and Financial Engineering, Princeton University, Princeton, NJ 08544, USA.
Cong MaDepartment of Operations Research and Financial Engineering, Princeton University, Princeton, NJ 08544, USA.

Funding

Statistical Methods for Ultrahigh-dimensional Biomedical DataR01GM072611 · NIGMS · PRINCETON UNIVERSITY · PI CATTANEO, MATIAS DAMIAN · 2006 to 2021
$4.2M
NIGMS NIH HHS R01 GM072611
6 · The paper itself

Abstract

This paper considers the problem of solving systems of quadratic equations, namely, recovering an object of interest

Identifiers

PMID33833473
PMCPMC8025800

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.