摘要:
A method for training a classifier for selecting features in sparse data sets with high feature dimensionality includes providing a set of data items x and labels y, minimizing a functional of the data items x and associated labels y L ( w , b , a , c , γ 1 , γ 2 ) := 1 N ∑ i = 1 N a i + λ 1 c 1 + λ 2 2 w 2 2 + γ 1 T ( e - Y ( Xw + be ) - a ) + γ 2 T ( w - c ) + μ 1 2 e - Y ( Xw + be ) - a 2 2 + μ 2 2 w - c 2 2 to solve for hyperplane w and offset b of a classifier by successively iteratively approximating w and b, auxiliary variables a and c, and multiplier vectors γ1 and γ2, wherein λ1, λ2, μ1, and μ2 are predetermined constants, e is a unit vector, and X and Y are respective matrix representations of the data items x and labels y; providing non-zero elements of the hyperplane vector w and corresponding components of X and Y as arguments to an interior point method solver to solve for hyperplane vector w and offset b, wherein w and b define a classifier than can associate each data item x with the correct label y.
摘要:
A method for training a classifier for selecting features in sparse data sets with high feature dimensionality includes providing a set of data items x and labels y, minimizing a functional of the data items x and associated labels y L ( w , b , a , c , γ 1 , γ 2 ) := 1 N ∑ i = 1 N a i + λ 1 c 1 + λ 2 2 w 2 2 + γ 1 T ( e - Y ( Xw + be ) - a ) + γ 2 T ( w - c ) + μ 1 2 e - Y ( Xw + be ) - a 2 2 + μ 2 2 w - c 2 2 to solve for hyperplane w and offset b of a classifier by successively iteratively approximating w and b, auxiliary variables a and c, and multiplier vectors γ1 and γ2, wherein λ1, λ2, μ1, and μ2 are predetermined constants, e is a unit vector, and X and Y are respective matrix representations of the data items x and labels y; providing non-zero elements of the hyperplane vector w and corresponding components of X and Y as arguments to an interior point method solver to solve for hyperplane vector w and offset b, wherein w and b define a classifier than can associate each data item x with the correct label y.
摘要:
A method to manage operating costs of a combined cooling heating and power (CCHP) plant that includes converting complex models of underlying components of the plant into simplified models (S101), performing an optimization that uses the simplified models as constraints of the optimization to output at least one decision variable (S102), and adjusting controls of the plant based on one or more of the output decision variables (S103).
摘要:
A method to manage operating costs of a combined cooling heating and power (CCHP) plant that includes converting complex models of underlying components of the plant into simplified models (S101), performing an optimization that uses the simplified models as constraints of the optimization to output at least one decision variable (S102), and adjusting controls of the plant based on one or more of the output decision variables (S103).
摘要:
A method for approximating an optimal power flow of a smart electric power grid includes providing a cost function that models a smart electric power grid having buses connected by branches, deriving a set of linear equations that minimize the cost function subject to constraints from an expression of an extremum of the cost function with respect to all arguments, reducing a dimension of the linear equations by solving for a subset of the linear equations, re-organizing the reduced dimension linear equations into primal and dual parts, and decomposing the re-organized reduced dimensional linear equations into two systems of block matrix equations which can be solved by a series of back substitutions. A solution of the two systems of block matrix equations yields conditions for a lowest cost per kilowatthour delivered through the smart electric power grid.
摘要:
A method for approximating an optimal power flow of a smart electric power grid includes providing a cost function that models a smart electric power grid having buses connected by branches, deriving a set of linear equations that minimize the cost function subject to constraints from an expression of an extremum of the cost function with respect to all arguments, reducing a dimension of the linear equations by solving for a subset of the linear equations, re-organizing the reduced dimension linear equations into primal and dual parts, and decomposing the re-organized reduced dimensional linear equations into two systems of block matrix equations which can be solved by a series of back substitutions. A solution of the two systems of block matrix equations yields conditions for a lowest cost per kilowatthour delivered through the smart electric power grid.
摘要:
A method for scheduling a project such as the inspection and maintenance of a gas turbine utilizes a branch and bound technique for arriving at a solution. The branch and bound technique is improved by using an all-pair longest path algorithm in preprocessing to tighten the set of possible start times of the tasks. That set is further tightened by considering two-forbidden-task pairs; i.e., pairs of tasks that cannot execute at the same time due to conflicting resource needs. A hard lower bound of a branch is determined by using all-pair longest path update and two-forbidden-task pair update, reducing the need to recalculate.
摘要:
A technique for optimizing the archival and management of data stored as XML documents is capable of handling mixed data including highly structured data and unstructured data. The technique maps the structured data to a relational database while storing the unstructured data in its native XML format. The data is updated using a rules database that maps updating rules against attributes and classes of elements within the documents. A document checking/validation engine performs the updates based on rule verification. A search engine searches the documents using both a path index table and a weighted content index.
摘要:
A method for diagnosing Amyotrophic lateral sclerosis includes providing surface-enhanced laser desorption/ionisation mass spectrometric (SELDI-MS) data of a plurality of proteins, said data obtained from a patient and comprising a plurality of peak values, and analysing said peak values with an alternating decision tree comprising a set of tests of said data peaks values and associated prediction values, wherein said data is predictive of depression if a sum of the prediction values of said tree is greater than 1.0.
摘要:
A system and method for mild cognitive impairment (MCI) class discovery using gene expression data are provided. The method comprises: acquiring gene expression data of a patient having MCI; and identifying a putative MCI subtype based on an expression signature in the gene expression data, wherein the putative MCI subtype is identified by using a boosting tree.