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1-Bit Matrix Completion
1-Bit Matrix Completion
2012/11/22
In this paper we develop a theory of matrix completion for the extreme case of noisy 1-bit observations. Instead of observing a subset of the real-valued entries of a matrix M, we obtain a small numbe...
Linear1 Support Vector Machines (e.g., SVMperf, Pegasos,
LIBLINEAR) are powerful and extremely efficient classification
tools when the datasets are very large and/or highdimensional,
which is commo...
Anatomy of a Bit: Information in a Time Series Observation
entropy total correlation multivariate mutual information binding information en-tropy rate predictive information rate
2011/6/21
Appealing to several multivariate information measures|some familiar, some new here|we ana-
lyze the information embedded in discrete-valued stochastic time series. We dissect the uncertainty
of a s...
Exact recording of Metropolis-Hastings-class Monte Carlo simulations using one bit per sample
Markov chain Monte Carlo Metropolis-Hastings information theory data representation
2011/6/21
The Metropolis-Hastings (MH) algorithm is the prototype for a class of Markov chain Monte Carlo methods
that propose transitions between states and then accept or reject the proposal. These methods g...