Identifying Mixture Models
Leonard J. Schulman (Caltech)
https://simons.berkeley.edu/talks/identifying-mixture-models
Algorithmic Aspects of Causal Inference
We give an algorithm for source identification of a mixture of k product distributions on n bits. This problem (which we call k-MixProd) is a fundamental problem in machine learning with many applications. Our algorithm identifies the source parameters of an identifiable mixture, given, as input, approximate values of multilinear moments; the complexity is ~ exp(k log k) arithmetic operations and similar sample size. Our analysis gives a quantitative version of a qualitative characterization of identifiable sources, that is due to Tahmasebi, Motahari, and Maddah-Ali (2018). Key to our work are a method of ``synthetic bits'' and a condition number lower bound for Hadamard Extensions. Based on joint works with Chaitanya Swamy (Waterloo), Yuval Rabani (Hebrew U), Jian Li (Tsinghua), Spencer Gordon (Caltech) and Bijan Mazaheri (Caltech)
Видео Identifying Mixture Models канала Simons Institute
https://simons.berkeley.edu/talks/identifying-mixture-models
Algorithmic Aspects of Causal Inference
We give an algorithm for source identification of a mixture of k product distributions on n bits. This problem (which we call k-MixProd) is a fundamental problem in machine learning with many applications. Our algorithm identifies the source parameters of an identifiable mixture, given, as input, approximate values of multilinear moments; the complexity is ~ exp(k log k) arithmetic operations and similar sample size. Our analysis gives a quantitative version of a qualitative characterization of identifiable sources, that is due to Tahmasebi, Motahari, and Maddah-Ali (2018). Key to our work are a method of ``synthetic bits'' and a condition number lower bound for Hadamard Extensions. Based on joint works with Chaitanya Swamy (Waterloo), Yuval Rabani (Hebrew U), Jian Li (Tsinghua), Spencer Gordon (Caltech) and Bijan Mazaheri (Caltech)
Видео Identifying Mixture Models канала Simons Institute
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