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math.PR2018★ 1 cited
Limiting Behaviors of High Dimensional Stochastic Spin Ensembles
Yuan Gao, Kay Kirkpatrick, Jeremy Marzuola +2
Lattice spin models in statistical physics are used to understand magnetism. Their Hamiltonians are a discrete form of a version of a Dirichlet energy, signifying a relationship to…
math.PR2012★ 2 cited
Optimal State-Space Reduction for Pedigree Hidden Markov Models
Bonnie Kirkpatrick, Kay Kirkpatrick
To analyze whole-genome genetic data inherited in families, the likelihood is typically obtained from a Hidden Markov Model (HMM) having a state space of 2^n hidden states where n…