Insight Journal (ISSN 2327-770X) - A Gradient Descent Trust Region Optimizer

A Gradient Descent Trust Region Optimizer

Please use this identifier to cite or link to this publication: http://hdl.handle.net/10380/3310

Published in The Insight Journal - 2011 July-December.

Submitted by Rupert Brooks on 08-11-2011.

This document describes a new simple gradient descent optimizer which is a potential
replacement or supplement for RegularStepGradientDescentOptimizer. The optimizer requires only the gradient of the parameters and uses a simple linear model internally. However, it follows the theoretical basis of a trust-region algorithm and is able to achieve greater efficiency on certain image registration cases.

Code

Automatic Testing Results by Insight-Journal Dashboard on Fri Aug 12 13:28:21 2011 for revision #1

expertise: 5 sensitivity: 5

This project passed all of its tests.
Click here for more details.

Go here to access the main testing dashboard.

Reviews

There is no review at this time. Be the first to review this publication!

Quick Comments

Comment by Altheqa Stone

https://www.altheqa-eg.com/stone-prices/
https://www.dekorishn-altheqa.com/decoration/
https://www.altheqa-eg.com/stone-types/
https://www.altheqa-stone.com/hashmi-stone-prices/
https://www.decoration-altheqa.com/stone-facades/
https://www.altheqa-stone.com/stone-2020/
https://www.dekorishn-altheqa.com/modern-stone-2/
https://www.dekorishn-altheqa.com/stone-houses/
https://www.altheqa-stone.com/altheqa-stone/
https://www.altheqa-eg.com/black-basalt/
https://www.decoration-altheqa.com/basalt-altheqa/
https://www.altheqa-eg.com/%D8%AA%D8%B1%D9%83%D9%8A%D8%A8-%D8%AD%D8%AC%D8%B1-%D9%87%D8%A7%D8%B4%D9%85%D9%89-%D9%87%D9%8A%D8%B5%D9%85-%D8%AE%D8%B7%D9%88%D8%A9-%D8%A8%D8%AE%D8%B7%D9%88%D8%A9/
https://www.altheqa-eg.com
https://www.altheqa-eg.com/%d8%a3%d9%87%d9%85-%d8%a7%d9%84%d8%b4%d8%b1%d9%83%d8%a7%d8%aa-%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%aa%d8%b1%d9%83%d9%8a%d8%a8-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5/
https://www.altheqa-eg.com/%d9%85%d8%b9%d8%b1%d9%81%d8%a9-%d8%a3%d8%b3%d8%b9%d8%a7%d8%b1-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d9%81%d9%8a-%d9%85%d8%b5%d8%b1/
https://www.altheqa-eg.com/%d9%85%d8%b9%d8%b1%d9%81%d8%a9-%d8%a3%d8%b3%d8%b9%d8%a7%d8%b1-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d9%81%d9%8a-%d9%85%d8%b5%d8%b1/
https://www.altheqa-eg.com/%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-stone.com/
https://www.altheqa-stone.com/stone-decorations/
https://www.altheqa-stone.com/%d8%aa%d8%b9%d8%b1%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-stone.com/export/
https://www.altheqa-stone.com/%d8%aa%d8%b9%d8%b1%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-stone.com/%d8%b3%d8%b9%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85-%d9%88%d8%b7%d8%b1%d9%8a%d9%82%d9%87-%d8%aa%d8%b1%d9%83%d9%8a%d8%a8%d8%a9/
https://www.altheqa-stone.com/%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%D9%84%D9%85%D8%A7%D8%B0%D8%A7-%D9%88%D8%A7%D8%AC%D9%87%D8%A7%D8%AA-%D8%AD%D8%AC%D8%B1-%D9%87%D8%A7%D8%B4%D9%85%D9%89-%D8%AA%D9%83%D9%84%D9%81-%D8%A7%D9%85%D9%88%D8%A7%D9%84-%D9%83%D8%AB%D9%8A%D8%B1/
https://www.altheqa-stone.com/
https://www.altheqa-stone.com/category/hism-stone/exterior-decorations/
https://www.altheqa-stone.com/stone/
https://www.altheqa-stone.com/stone-altheqa/
https://www.altheqa-stone.com/hism-stone/
https://www.altheqa-stone.com/stone-2/
https://www.altheqa-stone.com/stone-3/
https://www.altheqa-stone.com/stone-decorations/
https://www.altheqa-stone.com/%d9%83%d9%84-%d9%85%d8%a7-%d9%87%d9%88-%d8%ac%d8%af%d9%8a%d8%af-%d9%81%d9%89-%d8%b9%d8%a7%d9%84%d9%85-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d8%a7%d9%84%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d8%a7%d8%b4%d9%83%d8%a7%d9%84-%d8%af%d9%8a%d9%83%d9%88%d8%b1%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d8%aa%d8%b9%d8%b1%d9%81-%d8%b9%d9%84%d9%89-%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-stone.com/%d8%a7%d9%81%d8%b6%d9%84-%d8%af%d9%8a%d9%83%d9%88%d8%b1%d8%a7%d8%aa-%d8%b9%d9%85%d8%a7%d8%b1%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d8%a7%d9%81%d8%b6%d9%84-%d8%b4%d8%b1%d9%83%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%89-%d9%81%d9%89-%d9%85%d8%b5%d8%b1/
https://www.altheqa-stone.com/%d8%aa%d8%b5%d9%85%d9%8a%d9%85%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d8%b3%d9%88%d9%81-%d8%aa%d9%86%d8%a7%d9%84-%d8%a7%d8%b9%d8%ac%d8%a7%d8%a8%d9%83/
https://www.altheqa-stone.com/%d9%85%d9%87%d9%86%d8%af%d8%b3%d9%8a%d9%86-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-stone.com/export/
https://www.altheqa-stone.com/stone-altheqa/
https://www.altheqa-stone.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d9%81%d9%84%d9%84-%d9%88%d9%85%d9%86%d8%a7%d8%b2%d9%84-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d9%85%d9%85%d9%8a%d8%b2%d8%a7%d8%aa-%d9%88%d8%b9%d9%8a%d9%88%d8%a8-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d8%a7%d9%84%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%81%d9%89-%d9%85%d8%b5%d8%b1/
https://www.altheqa-stone.com/%d8%b3%d8%b9%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85-%d9%88%d8%b7%d8%b1%d9%8a%d9%82%d9%87-%d8%aa%d8%b1%d9%83%d9%8a%d8%a8%d8%a9/
https://www.altheqa-stone.com/%d8%b4%d8%a7%d9%87%d8%af-%d8%a7%d8%ad%d8%af%d8%ab-%d8%af%d9%8a%d9%83%d9%88%d8%b1%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d8%a7%d8%a8%d8%aa%d9%83%d8%a7%d8%b1-%d9%81%d9%89-%d8%a7%d9%84%d8%aa%d8%b5%d9%85%d9%8a%d9%85-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d9%85%d9%86%d8%a7%d8%b2%d9%84-%d8%ae%d8%a7%d8%b1%d8%ac%d9%8a%d8%a9/
https://www.altheqa-stone.com/%d8%b4%d8%b1%d9%83%d8%a9-%d8%aa%d8%b5%d8%af%d9%8a%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-stone.com/%d9%85%d9%82%d8%a7%d9%88%d9%84-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%81%d9%89-%d9%85%d8%b5%d8%b1/
https://www.altheqa-stone.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-stone.com/category/hachmi-stone-facades/
https://www.altheqa-stone.com/category/hism-stone/
https://www.altheqa-stone.com/%d8%aa%d8%b5%d9%85%d9%8a%d9%85%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d8%b3%d9%88%d9%81-%d8%aa%d9%86%d8%a7%d9%84-%d8%a7%d8%b9%d8%ac%d8%a7%d8%a8%d9%83/
https://www.altheqa-stone.com/%d8%a7%d9%81%d8%b6%d9%84-%d8%b4%d8%b1%d9%83%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%89-%d9%81%d9%89-%d9%85%d8%b5%d8%b1/
https://www.altheqa-stone.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d9%85%d9%86%d8%a7%d8%b2%d9%84-%d9%88%d9%81%d9%84%d9%84-%d9%81%d8%a7%d8%ae%d8%b1%d8%a9-%d8%a8%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d8%a7%d9%84%d9%87%d8%a7%d8%b4%d9%85/
https://www.altheqa-eg.com
https://www.altheqa-eg.com/category/hachemi-stone/
https://www.altheqa-eg.com/%d8%aa%d9%86%d9%81%d9%8a%d8%b0-%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-eg.com/%d8%a3%d9%87%d9%85-%d8%a7%d9%84%d8%b4%d8%b1%d9%83%d8%a7%d8%aa-%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%aa%d8%b1%d9%83%d9%8a%d8%a8-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5/
https://www.altheqa-eg.com/%d8%af%d9%8a%d9%83%d9%88%d8%b1%d8%a7%d8%aa-%d8%ae%d8%a7%d8%b1%d8%ac%d9%8a%d8%a9-%d8%a7%d9%81%d8%b6%d9%84-%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d9%81%d9%84%d9%84-%d9%88%d9%85%d9%86%d8%a7%d8%b2%d9%84/
https://www.altheqa-eg.com/%d9%85%d8%b9%d8%b1%d9%81%d8%a9-%d8%a3%d8%b3%d8%b9%d8%a7%d8%b1-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d9%81%d9%8a-%d9%85%d8%b5%d8%b1/
https://www.altheqa-eg.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d9%81%d9%84%d9%84-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d8%a8%d8%a7%d9%84%d8%b5%d9%88%d8%b1-%d9%88%d8%a7%d9%84%d9%81%d8%af%d9%8a%d9%88%d9%87%d8%a7/
https://www.altheqa-eg.com/%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85-%d9%87%d9%88-%d8%a7%d9%84%d8%a7%d9%81%d8%b6%d9%84-%d8%af%d8%a7%d8%a6%d9%85%d8%a7-%d9%84%d9%85%d8%a7%d8%b0%d8%a7%d8%9f/
https://www.altheqa-eg.com/category/stone/
https://www.altheqa-eg.com/%d8%aa%d8%b1%d9%83%d9%8a%d8%a8-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85-%d8%ae%d8%b7%d9%88%d8%a9-%d8%a8%d8%ae%d8%b7%d9%88%d8%a9/
https://www.altheqa-eg.com/%d8%a7%d8%ad%d8%af%d8%ab-%d9%85%d9%82%d8%a7%d9%84%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-eg.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d8%ac%d8%b0%d8%a7%d8%a8%d9%87-%d9%85%d9%86-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d8%a7%d9%84%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-eg.com/%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d8%a7%d8%b3%d8%b9%d8%a7%d8%b1-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5%d9%85/
https://www.altheqa-eg.com/%d8%a7%d8%b4%d9%83%d8%a7%d9%84-%d9%88%d8%a7%d9%86%d9%88%d8%a7%d8%b9-%d8%a7%d9%84%d8%ad%d8%ac%d8%b1-%d8%a7%d9%84%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d8%a7%d9%84%d9%85%d8%aa%d9%88%d8%a7%d8%ac%d8%af%d9%87/
https://www.altheqa-eg.com/%d8%a7%d8%b4%d9%8a%d8%a7%d8%a1-%d9%8a%d8%ac%d8%a8-%d8%a7%d9%86-%d8%aa%d9%81%d8%b9%d9%84%d9%87%d8%a7-%d9%81%d9%89-%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-eg.com/%d8%aa%d8%b5%d9%85%d9%8a%d9%85-%d8%af%d9%8a%d9%83%d9%88%d8%b1%d8%a7%d8%aa-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-eg.com/%d9%88%d8%a7%d8%ac%d9%87%d8%a7%d8%aa-%d9%81%d9%84%d9%84-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.altheqa-eg.com/stone-altheqa/
https://www.altheqa-eg.com/%d8%b4%d8%b1%d9%83%d8%a9-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89/
https://www.pinterest.com/altheqa_stone/%D8%AA%D8%B5%D9%85%D9%8A%D9%85-%D9%88%D8%A7%D8%AC%D9%87%D8%A7%D8%AA-%D9%85%D9%86%D8%A7%D8%B2%D9%84-%D9%88%D8%B9%D9%85%D8%A7%D8%B1%D8%A7%D8%AA-%D8%A8%D8%A7%D9%84%D8%AD%D8%AC%D8%B1-%D8%A7%D9%84%D9%87%D8%A7%D8%B4%D9%85%D9%89-%D8%A8%D8%AA%D8%B5%D9%85%D9%8A%D9%85%D8%A7%D8%AA/
https://www.pinterest.com/decoration_altheqa/%D9%88%D8%A7%D8%AC%D9%87%D8%A7%D8%AA-%D8%AD%D8%AC%D8%B1-%D9%87%D8%A7%D8%B4%D9%85%D9%89/
https://www.facebook.com/alth8h/
https://www.pinterest.com/decoration_altheqa/home-design%D9%88%D8%A7%D8%AC%D9%87%D8%A7%D8%AA-%D8%AD%D8%AC%D8%B1-%D9%87%D8%A7%D8%B4%D9%85%D9%89-%D9%87%D9%8A%D8%B5%D9%85/
https://www.dekorishn-altheqa.com/%D8%A7%D8%B3%D8%B9%D8%A7%D8%B1-%D8%AD%D8%AC%D8%B1-%D9%87%D8%A7%D8%B4%D9%85%D9%89/

https://www.altheqa-eg.com/%d8%a3%d9%87%d9%85-%d8%a7%d9%84%d8%b4%d8%b1%d9%83%d8%a7%d8%aa-%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%aa%d8%b1%d9%83%d9%8a%d8%a8-%d8%ad%d8%ac%d8%b1-%d9%87%d8%a7%d8%b4%d9%85%d9%89-%d9%87%d9%8a%d8%b5/

Resources


Download All
Download Paper , View Paper
Download Source code
Github

Statistics more


Global rating:
Review rating:	[review]
Code rating:
Views:	15509
Downloads:	4029
Paper Quality:
1 comment

Information more


Paper Id:	834
Categories:	Optimization, Registration optimizers
Keywords:	registration, optimization, trust region
Toolkits:	ITK, CMake
Revision:
Export citation:
Status:	Open for public review

Share

Linked Publications more


Diffeomorphic Demons Using ITK's Finite Difference Solver Hierarchy by Vercauteren T., Pennec X., Perchant A., Ayache N.
Importing Contours from DICOM-RT Structure Sets by Dowling J., Malaterre M., Greer P.B., Salvado O.
Computing Bone Morphometric Feature Maps from 3-Dimensional Images by Vimort J., McCormick M., Paniagua B.
Anisotropic Fast Marching in ITK by Mirebeau J.
Scalable Simple Linear Iterative Clustering (SSLIC) Using a Generic and Parallel Approach by Lowekamp B., Chen D., Yaniv Z., Yoo T.
ITK in Biomedical Research and Commercial Applications by McCormick M., Aylward S., Johnson H., Lowekamp B.
Automatic Mandible Segmentation on CT Images Using Prior Anatomical Knowledge by Aghdasi N., Li Y., Berens A., Moe K., Hannaford B.
Probabilistic Tissue Characterization for Ultrasound Images by Curiale A.H., Vegas-Sánchez-Ferrero G., Aja-Fernández S.
A Threshold with Hysteresis by Vera S., Perez F., Lara L., Gonzalez M.
Document Object Model based XML Handling in ITK by Gong R.H., Yaniv Z.

View license

Loading license...

Send a message to the author