Applying theory of Markov Chains to the problem of sports ranking.
Applying theory of Markov Chains to the problem of sports ranking.
Applying theory of Markov Chains to the problem of sports ranking.
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<strong>Applying</strong> <strong><strong>the</strong>ory</strong> <strong>of</strong> <strong>Markov</strong> <strong>Chains</strong> <strong>to</strong> <strong>the</strong> <strong>problem</strong> <strong>of</strong> <strong>sports</strong> <strong>ranking</strong>.Ranking NFL.Feature vec<strong>to</strong>rs via NMFNonnegative matrix fac<strong>to</strong>rization: Given M m×n ≥ 0,such that W ≥ 0, and H ≥ 0M = W m×k H k×nPossible uses <strong>of</strong> NMF:M j = ∑ W i h ij◮ Given appropriate M matrix (e.g. teams by stats) featurevec<strong>to</strong>rs could be <strong>the</strong> nonnegative “basis” <strong>of</strong> columns <strong>of</strong> M,i.e. columns <strong>of</strong> W.
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