TensorPartialDivisionAlgebra

Algebra over a field with partial division on Tensor. For more information: https://proofwiki.org/wiki/Definition:Division_Algebra

Parameters

T

the type of items closed under division in the tensors.

Inheritors

Functions

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open override fun add(left: StructureND<T>, right: StructureND<T>): Tensor<T>
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abstract fun StructureND<T>.argMax(dim: Int, keepDim: Boolean): Tensor<Int>

Returns the index of maximum value of each row of the input tensor in the given dimension dim.

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abstract fun StructureND<T>.argMin(dim: Int, keepDim: Boolean): Tensor<Int>

Returns the index of minimum value of each row of the input tensor in the given dimension dim.

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open fun binaryOperation(operation: String, left: StructureND<T>, right: StructureND<T>): StructureND<T>
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open override fun binaryOperationFunction(operation: String): (left: StructureND<T>, right: StructureND<T>) -> StructureND<T>
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open fun bindSymbol(value: String): StructureND<T>
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open fun bindSymbolOrNull(value: String): StructureND<T>?
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abstract fun diagonalEmbedding(diagonalEntries: StructureND<T>, offset: Int = 0, dim1: Int = -2, dim2: Int = -1): Tensor<T>

Creates a tensor whose diagonals of certain 2D planes (specified by dim1 and dim2) are filled by diagonalEntries. To facilitate creating batched diagonal matrices, the 2D planes formed by the last two dimensions of the returned tensor are chosen by default.

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open operator fun StructureND<T>.div(k: Number): StructureND<T>

abstract operator override fun T.div(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is divided by this value. The resulting tensor is returned.

abstract operator override fun StructureND<T>.div(arg: T): Tensor<T>

Divide by the scalar arg each element of this tensor returns a new resulting tensor.

abstract operator override fun StructureND<T>.div(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is divided by each element of this tensor. The resulting tensor is returned.

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abstract operator fun Tensor<T>.divAssign(value: T)

Divides by the scalar value each element of this tensor.

abstract operator fun Tensor<T>.divAssign(arg: StructureND<T>)

Each element of this tensor is divided by each element of the arg tensor.

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open override fun divide(left: StructureND<T>, right: StructureND<T>): StructureND<T>
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abstract infix fun StructureND<T>.dot(other: StructureND<T>): Tensor<T>

Matrix product of two tensors.

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open fun export(arg: StructureND<T>): StructureND<T>
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open fun <F : StructureFeature> getFeature(structure: StructureND<T>, type: KClass<out F>): F?
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abstract fun Tensor<T>.getTensor(i: Int): Tensor<T>

Returns the tensor at index i For more information: https://pytorch.org/cppdocs/notes/tensor_indexing.html

open fun Tensor<T>.getTensor(first: Int, second: Int): Tensor<T>
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open operator fun (T) -> T.invoke(structure: StructureND<T>): StructureND<T>
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open fun StructureND<T>.map(transform: A.(T) -> T): StructureND<T>
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open fun StructureND<T>.mapIndexed(transform: A.(index: IntArray, T) -> T): StructureND<T>
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abstract fun StructureND<T>.max(): T?

Returns the maximum value of all elements in the input tensor or null if there are no values

abstract fun StructureND<T>.max(dim: Int, keepDim: Boolean): Tensor<T>

Returns the maximum value of each row of the input tensor in the given dimension dim.

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abstract fun StructureND<T>.min(): T?

abstract fun StructureND<T>.min(dim: Int, keepDim: Boolean): Tensor<T>

Returns the minimum value of each row of the input tensor in the given dimension dim.

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abstract operator override fun T.minus(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is subtracted from this value. The resulting tensor is returned.

abstract operator override fun StructureND<T>.minus(arg: T): Tensor<T>

Subtracts the scalar arg from each element of this tensor and returns a new resulting tensor.

abstract operator override fun StructureND<T>.minus(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is subtracted from each element of this tensor. The resulting tensor is returned.

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abstract operator fun Tensor<T>.minusAssign(value: T)

Subtracts the scalar value from each element of this tensor.

abstract operator fun Tensor<T>.minusAssign(arg: StructureND<T>)

Each element of the tensor arg is subtracted from each element of this tensor.

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open override fun multiply(left: StructureND<T>, right: StructureND<T>): Tensor<T>
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abstract operator override fun T.plus(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is added to this value. The resulting tensor is returned.

abstract operator override fun StructureND<T>.plus(arg: T): Tensor<T>

Adds the scalar arg to each element of this tensor and returns a new resulting tensor.

abstract operator override fun StructureND<T>.plus(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is added to each element of this tensor. The resulting tensor is returned.

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abstract operator fun Tensor<T>.plusAssign(value: T)

Adds the scalar value to each element of this tensor.

abstract operator fun Tensor<T>.plusAssign(arg: StructureND<T>)

Each element of the tensor arg is added to each element of this tensor.

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open override fun scale(a: StructureND<T>, value: Double): StructureND<T>
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abstract fun structureND(shape: ShapeND, initializer: A.(IntArray) -> T): StructureND<T>
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abstract fun StructureND<T>.sum(): T

abstract fun StructureND<T>.sum(dim: Int, keepDim: Boolean): Tensor<T>

Returns the sum of each row of the input tensor in the given dimension dim.

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open operator fun Number.times(arg: StructureND<T>): StructureND<T>
open operator fun StructureND<T>.times(k: Number): StructureND<T>

abstract operator override fun T.times(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is multiplied by this value. The resulting tensor is returned.

abstract operator override fun StructureND<T>.times(arg: T): Tensor<T>

Multiplies the scalar arg by each element of this tensor and returns a new resulting tensor.

abstract operator override fun StructureND<T>.times(arg: StructureND<T>): Tensor<T>

Each element of the tensor arg is multiplied by each element of this tensor. The resulting tensor is returned.

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abstract operator fun Tensor<T>.timesAssign(value: T)

Multiplies the scalar value by each element of this tensor.

abstract operator fun Tensor<T>.timesAssign(arg: StructureND<T>)

Each element of the tensor arg is multiplied by each element of this tensor.

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abstract fun StructureND<T>.transposed(i: Int = shape.size - 2, j: Int = shape.size - 1): Tensor<T>

Returns a tensor that is a transposed version of this tensor. The given dimensions i and j are swapped. For more information: https://pytorch.org/docs/stable/generated/torch.transpose.html

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abstract operator override fun StructureND<T>.unaryMinus(): Tensor<T>

Numerical negative, element-wise.

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open fun unaryOperation(operation: String, arg: StructureND<T>): StructureND<T>
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open override fun unaryOperationFunction(operation: String): (arg: StructureND<T>) -> StructureND<T>
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open operator fun StructureND<T>.unaryPlus(): StructureND<T>
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open fun StructureND<T>.value(): T

Returns a single tensor value of unit dimension. The tensor shape must be equal to 1.

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abstract fun StructureND<T>.valueOrNull(): T?

Returns a single tensor value of unit dimension if tensor shape equals to 1.

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abstract fun Tensor<T>.view(shape: ShapeND): Tensor<T>

Returns a new tensor with the same data as the self tensor but of a different shape. The returned tensor shares the same data and must have the same number of elements, but may have a different size For more information: https://pytorch.org/docs/stable/tensor_view.html

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abstract fun Tensor<T>.viewAs(other: StructureND<T>): Tensor<T>

View this tensor as the same size as other. this.viewAs(other) is equivalent to this.view(other.shape). For more information: https://pytorch.org/cppdocs/notes/tensor_indexing.html

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open fun zip(left: StructureND<T>, right: StructureND<T>, transform: A.(T, T) -> T): StructureND<T>

Properties

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abstract val elementAlgebra: A