LogMatrixDeterminant
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Computes the sign and the log of the absolute value of the determinant of
one or more square matrices.
The input is a tensor of shape `[N, M, M]` whose inner-most 2 dimensions
form square matrices. The outputs are two tensors containing the signs and
absolute values of the log determinants for all N input submatrices
`[..., :, :]` such that `determinant = sign*exp(log_abs_determinant)`.
The `log_abs_determinant` is computed as `det(P)*sum(log(diag(LU)))` where `LU`
is the `LU` decomposition of the input and `P` is the corresponding
permutation matrix.
Constants
| String |
OP_NAME |
The name of this op, as known by TensorFlow core engine |
Inherited Methods
From class
java.lang.Object
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boolean
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equals(Object arg0)
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final
Class<?>
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getClass()
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int
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hashCode()
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final
void
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notify()
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final
void
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notifyAll()
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String
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toString()
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final
void
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wait(long arg0, int arg1)
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final
void
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wait(long arg0)
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final
void
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wait()
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Constants
public
static
final
String
OP_NAME
The name of this op, as known by TensorFlow core engine
Constant Value:
"LogMatrixDeterminant"
Public Methods
Factory method to create a class wrapping a new LogMatrixDeterminant operation.
Parameters
| scope |
current scope |
| input |
Shape is `[N, M, M]`. |
Returns
- a new instance of LogMatrixDeterminant
public
Output<T>
logAbsDeterminant
()
The logs of the absolute values of the determinants
of the N input matrices. Shape is `[N]`.
public
Output<T>
sign
()
The signs of the log determinants of the inputs. Shape is `[N]`.
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Last updated 2021-11-29 UTC.
[[["Easy to understand","easyToUnderstand","thumb-up"],["Solved my problem","solvedMyProblem","thumb-up"],["Other","otherUp","thumb-up"]],[["Missing the information I need","missingTheInformationINeed","thumb-down"],["Too complicated / too many steps","tooComplicatedTooManySteps","thumb-down"],["Out of date","outOfDate","thumb-down"],["Samples / code issue","samplesCodeIssue","thumb-down"],["Other","otherDown","thumb-down"]],["Last updated 2021-11-29 UTC."],[],[],null,["# LogMatrixDeterminant\n\npublic final class **LogMatrixDeterminant** \nComputes the sign and the log of the absolute value of the determinant of\n\n\none or more square matrices.\n\n\nThe input is a tensor of shape \\`\\[N, M, M\\]\\` whose inner-most 2 dimensions\nform square matrices. The outputs are two tensors containing the signs and\nabsolute values of the log determinants for all N input submatrices\n\\`\\[..., :, :\\]\\` such that \\`determinant = sign\\*exp(log_abs_determinant)\\`.\nThe \\`log_abs_determinant\\` is computed as \\`det(P)\\*sum(log(diag(LU)))\\` where \\`LU\\`\nis the \\`LU\\` decomposition of the input and \\`P\\` is the corresponding\npermutation matrix.\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n### Constants\n\n|--------|-------------------------------------------------------------------------------------|---------------------------------------------------------|\n| String | [OP_NAME](/jvm/api_docs/java/org/tensorflow/op/linalg/LogMatrixDeterminant#OP_NAME) | The name of this op, as known by TensorFlow core engine |\n\n### Public Methods\n\n|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| static \\\u003cT extends [TType](/jvm/api_docs/java/org/tensorflow/types/family/TType)\\\u003e [LogMatrixDeterminant](/jvm/api_docs/java/org/tensorflow/op/linalg/LogMatrixDeterminant)\\\u003cT\\\u003e | [create](/jvm/api_docs/java/org/tensorflow/op/linalg/LogMatrixDeterminant#create(org.tensorflow.op.Scope, org.tensorflow.Operand\u003cT\u003e))([Scope](/jvm/api_docs/java/org/tensorflow/op/Scope) scope, [Operand](/jvm/api_docs/java/org/tensorflow/Operand)\\\u003cT\\\u003e input) Factory method to create a class wrapping a new LogMatrixDeterminant operation. |\n| [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e | [logAbsDeterminant](/jvm/api_docs/java/org/tensorflow/op/linalg/LogMatrixDeterminant#logAbsDeterminant())() The logs of the absolute values of the determinants of the N input matrices. |\n| [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e | [sign](/jvm/api_docs/java/org/tensorflow/op/linalg/LogMatrixDeterminant#sign())() The signs of the log determinants of the inputs. |\n\n### Inherited Methods\n\nFrom class [org.tensorflow.op.RawOp](/jvm/api_docs/java/org/tensorflow/op/RawOp) \n\n|----------------------------------------------------------|---------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| final boolean | [equals](/jvm/api_docs/java/org/tensorflow/op/RawOp#equals(java.lang.Object))(Object obj) |\n| final int | [hashCode](/jvm/api_docs/java/org/tensorflow/op/RawOp#hashCode())() |\n| [Operation](/jvm/api_docs/java/org/tensorflow/Operation) | [op](/jvm/api_docs/java/org/tensorflow/op/RawOp#op())() Return this unit of computation as a single [Operation](/jvm/api_docs/java/org/tensorflow/Operation). |\n| final String | [toString](/jvm/api_docs/java/org/tensorflow/op/RawOp#toString())() |\n\nFrom class java.lang.Object \n\n|------------------|---------------------------|\n| boolean | equals(Object arg0) |\n| final Class\\\u003c?\\\u003e | getClass() |\n| int | hashCode() |\n| final void | notify() |\n| final void | notifyAll() |\n| String | toString() |\n| final void | wait(long arg0, int arg1) |\n| final void | wait(long arg0) |\n| final void | wait() |\n\nFrom interface [org.tensorflow.op.Op](/jvm/api_docs/java/org/tensorflow/op/Op) \n\n|-----------------------------------------------------------------------------------------|------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| abstract [ExecutionEnvironment](/jvm/api_docs/java/org/tensorflow/ExecutionEnvironment) | [env](/jvm/api_docs/java/org/tensorflow/op/Op#env())() Return the execution environment this op was created in. |\n| abstract [Operation](/jvm/api_docs/java/org/tensorflow/Operation) | [op](/jvm/api_docs/java/org/tensorflow/op/Op#op())() Return this unit of computation as a single [Operation](/jvm/api_docs/java/org/tensorflow/Operation). |\n\nConstants\n---------\n\n#### public static final String\n**OP_NAME**\n\nThe name of this op, as known by TensorFlow core engine \nConstant Value: \"LogMatrixDeterminant\"\n\nPublic Methods\n--------------\n\n#### public static [LogMatrixDeterminant](/jvm/api_docs/java/org/tensorflow/op/linalg/LogMatrixDeterminant)\\\u003cT\\\u003e\n**create**\n([Scope](/jvm/api_docs/java/org/tensorflow/op/Scope) scope, [Operand](/jvm/api_docs/java/org/tensorflow/Operand)\\\u003cT\\\u003e input)\n\nFactory method to create a class wrapping a new LogMatrixDeterminant operation. \n\n##### Parameters\n\n| scope | current scope |\n| input | Shape is \\`\\[N, M, M\\]\\`. |\n|-------|---------------------------|\n\n##### Returns\n\n- a new instance of LogMatrixDeterminant \n\n#### public [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e\n**logAbsDeterminant**\n()\n\nThe logs of the absolute values of the determinants\nof the N input matrices. Shape is \\`\\[N\\]\\`. \n\n#### public [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e\n**sign**\n()\n\nThe signs of the log determinants of the inputs. Shape is \\`\\[N\\]\\`."]]
