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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Bard College

2017

Euler's method

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From Random To Organized: The Architecture Of Neural Networks During Development, Avery Isabella Morris Jan 2017

From Random To Organized: The Architecture Of Neural Networks During Development, Avery Isabella Morris

Senior Projects Fall 2017

The brain is constantly changing during development as a result of various stimuli: memories, language, visual patterns and other sensory information. As a result, networks need to have specific learning rules to function being both plastic and stable. In this project, I’ve constructed a mathematical model based on a biological neural network during development. I’ve written differential equations to describe these specific learning rules as well as methods of visual input to the network. I’ve changed my model, using Euler’s method, to create a discrete-time version of this biological phenomenon to implement on the computer. I’ve successfully coded this, using …