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Reference.org
Determinantal point process
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a determinantal point process is a <a href="/facts/Stochastic_process/Ng1n1dnB">stochastic</a> <a href="/facts/Point_process/zsJmxmFf">point process</a>, the <a href="/facts/Probability_distribution/EpsKKVRu">probability distribution</a> of which is characterized as a <a href="/facts/Functional_determinant/preMcoEw">determinant</a> of some function. They are suited for modelling global negative correlations, and for efficient algorithms of sampling, marginalization, conditioning, and other inference tasks. Such processes arise as important tools in <a href="/facts/Random_matrix/Yqo1lwFW">random matrix</a> theory, <a href="/facts/Combinatorics/k14xUoKT">combinatorics</a>, <a href="/facts/Physics/a7aH2y08">physics</a>, <a href="/facts/Machine_learning/e0w0XJTu">machine learning</a>, and wireless network modeling. </p>