Abstract: A method for classifying input data includes receiving the input data that describe an object, wherein the input data corresponds to plural classes; associating the input data with voxels that describe the object; calculating a real-number sequence X(n), which is associated with a measured parameter P that describes the object; quantizing the real-number sequence X(n) to generate a finite set sequence Q(n), where n describes a number of levels; generating a voxel-based weight matrix for each class of the input data; and calculating a score S for each class of the plural classes, based on a corresponding voxel-based weight matrix. The score S is a number that indicates a likelihood that the input data associated with a given sample belongs to a class of the plural classes.

Abstract: A method for classifying input data includes receiving the input data that describe an object, wherein the input data corresponds to plural classes; associating the input data with voxels that describe the object; calculating a real-number sequence X(n), which is associated with a measured parameter P that describes the object; quantizing the real-number sequence X(n) to generate a finite set sequence Q(n), where n describes a number of levels; generating a voxel-based weight matrix for each class of the input data; and calculating a score S for each class of the plural classes, based on a corresponding voxel-based weight matrix. The score S is a number that indicates a likelihood that the input data associated with a given sample belongs to a class of the plural classes.

Abstract: A method for generating a feature associated with input data includes receiving the input data; projecting the input data with a set of square functions ?nh2 of the Schrödinger operator; selecting the feature to be a number of the negative eigenvalues ?nh of the Schrödinger operator; and classifying the input data based on the feature.

Abstract: A method for suppressing a water line in an acquired magnetic resonance spectra (MRS) y, the method including receiving (800) the acquired MRS spectra y; estimating (802) a water peak ywp for the acquired MRS spectra y using squared eigenfunctions (?) of a Schrödinger operator H; and removing (804) the water peak ywp from the acquired MRS y to obtain a suppressed water MRS spectra yws. The suppressed water MRS spectra yws includes a signature of one or more metabolites.

Abstract: A method for suppressing a water line in an acquired magnetic resonance spectra (MRS) y, the method including receiving (800) the acquired MRS spectra y; estimating (802) a water peak ywp for the acquired MRS spectra y using squared eigenfunctions (?) of a Schrödinger operator H; and removing (804) the water peak ywp from the acquired MRS y to obtain a suppressed water MRS spectra yws. The suppressed water MRS spectra yws includes a signature of one or more metabolites.