METHODS AND SYSTEMS FOR CALCULATING JOINT STATISTICAL INFORMATION

摘要

Computer-implemented methods and systems are provided for calculating statistical information. A computing system may be configured to call a linear algebra subroutine adapted to efficiently perform matrix multiplication, providing as arguments a first matrix and a second matrix, consistent with disclosed embodiments. The first matrix may include first elements corresponding to binned values of first measurements associated with a first observation. The second matrix may include second elements corresponding to binned values of second measurements associated with a set of second observations. The computing system may be configured to receive a joint value matrix estimating the joint probabilities for the binned measurements from the linear algebra subroutine. The computing system may determine a structure of the set of second observations based on the joint value matrix. In certain aspects, the computing system may determine the mutual information between the first observation and the set of second observations.

主权项

1. A computer-implemented method, the method comprising,
calling, using a processing device in the computer, a linear algebra subroutine for matrix multiplication with arguments comprising matrices, the matrices comprising:
a first matrix corresponding to a first observation with first elements comprising binned values of first measurements, the rows of the first elements corresponding to first bins and the columns of the first elements corresponding to first measurements, anda second matrix corresponding to a set of second observations with second elements comprising binned values of second measurements, the rows of the second elements corresponding to second measurements and the columns of the second elements corresponding to second bins and second observations; receiving, using the processing device of the computer, a joint value matrix from the linear algebra subroutine, the joint value matrix comprising a product of the matrices, with third elements comprising estimated joint probabilities for first bins and second bins; and outputting, using the processing device of the computer, statistical information based on the joint value matrix to determine a structure for the plurality of second observations.