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LU decomposition from scratch
Implementation of the LU factorization in Python. Description Linear systems of the form ${\bf Ax}={\bf b}$ are essential in Linear Algebra and they appear in multiple applied contexts. When ${\bf A}$ is an $n \times n$ matrix, we know the $n \times 1$ solution vector ${\bf x}$ is unique, but that doesn’t mean it’s easy to find.
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Simple convolutional neural network for digit recognition
Assignment for “Knowledge technology”, course in the Master in Methodology for behavioral sciences. Description The purpose of the the project wasn’t to develop a sophisticated architecture (see the image below to get a sense of what kind of network we built) or to get highest accuracy in a test set.
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Helping behavior during COVID-19 lockdown
This brief research project was part of the course “Linear models” in the Master in Methodology for behavioral sciences. Description Why we help other people is a question psychologists have been trying to answer for decades.
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