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The problem: Each cell of an 8×8 chessboard is filled with either a 0 or a 1. Prove that if we compute the sums of the numbers in each row, each column, and each of the two diagonals, at least … Continue reading

a human being learns about the learning of machines

Deep learning is a buzz phrase that refers to a branches of machine learning that involve multiple, interactive layers of nonlinear data transformations. It’s deep because there are multiple layers, and it’s deep learning because the layers can communicate with … Continue reading

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Tagged data science, machine learning, math
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The problem: Each cell of an 8×8 chessboard is filled with either a 0 or a 1. Prove that if we compute the sums of the numbers in each row, each column, and each of the two diagonals, at least … Continue reading

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In the 80s, in June, when I was in graduate school, a friend called me up and asked if I wanted to make an impromptu trip from Berkeley, California to Vancouver, BC. He wanted to drive up and see his … Continue reading

Once upon a time in math, I studied metric spaces, spaces for which there exists a way to measure distances between points. At first glance the non-mathematician might say: yuck, this is the genesis and justification of corporate bean counting … Continue reading

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Yep, I like math problems. But just like anyone, I feel frustrated and stupid when I don’t get them. The thing is, the harder the problem, the more satisfying it is to solve it. Here’s a pretty easy one I … Continue reading

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