Expand description
This crate provides the core implementations for the cnc
framework, defining various
traits, types, and utilities essential for building neural networks.
ParamsBase
: A structure for defining the parameters within a neural network.Backward
: This trait establishes a common interface for backward propagation.Forward
: This trait denotes a single forward pass through a layer of a neural network
§Features
The crate is heavily feature-gate, enabling users to customize their experience based on their needs.
init
: Enables (random) initialization routines for models, parameters, and tensors.utils
: Provides various utilities for developing machine learning models.
§Dependency-specific Features
Additionally, the crate provides various dependency-specific features that can be enabled:
anyhow
: Enables the use of theanyhow
crate for error handling.approx
: Enables approximate equality checks for floating-point numbers.complex
: Enables complex number support.json
: Enables JSON serialization and deserialization capabilities.rand
: Enables random number generation capabilities.serde
: Enables serialization and deserialization capabilities.tracing
: Enables tracing capabilities for debugging and logging.
Re-exports§
pub use rand;
pub use rand_distr;
pub use super::error::ParamsError;
pub use ndtensor as tensor;
Modules§
- activate
- this module is dedicated to activation function Activation functions for neural networks and their components. These functions are often used to introduce non-linearity into the model, allowing it to learn more complex patterns in the data.
- error
- this module provides the base
Error
type for the library This module implements the coreError
type for the framework and provides aResult
type alias for convenience. - init
- this module establishes generic random initialization routines for models, params, and tensors.
- loss
- this module focuses on the loss functions used in training neural networks.
- ops
- This module provides the core operations for tensors, including filling, padding, reshaping, and tensor manipulation.
- params
- this module provides the
ParamsBase
type for the library, which is used to define the parameters of a neural network. Parameters for constructing neural network models. This module implements parameters using the ParamsBase struct and its associated types. The ParamsBase struct provides: - traits
- This module provides the core traits for the library, such as
Backward
andForward
- utils
- this module implements various utilities useful for developing machine learning models A suite of utilities tailored toward neural networks.
Structs§
- Lecun
Normal - LecunNormal is a truncated normal distribution centered at 0 with a standard deviation that is calculated as:
- PadAction
Iter - An iterator over the variants of PadAction
- Padding
- Params
Base - The
ParamsBase
struct is a generic container for a set of weights and biases for a model where the bias tensor is alwaysn-1
dimensions smaller than theweights
tensor. Consequently, this constrains theParamsBase
implementation to only support dimensions that can be reduced by one axis (i.e. $\mbox{rank}(D)>0
$), which is typically the “zero-th” axis. - Tensor
Base - the
TensorBase
struct is the base type for all tensors in the library. - Truncated
Normal - The
TruncatedNormal
distribution is similar to theStandardNormal
distribution, differing in that is computes a boundary equal to two standard deviations from the mean. More formally, the boundary is defined as: - Xavier
Normal - Normal Xavier initializers leverage a normal distribution centered around
0
and using a standard deviation ($\sigma$) computed by: - Xavier
Uniform - Uniform Xavier initializers use a uniform distribution to initialize the weights of a neural network within a given range.
Enums§
- Error
- The
Error
type enumerates various errors that can occur within the framework. - PadAction
- PadError
- PadMode
Traits§
- Affine
- apply an affine transformation to a tensor;
affine transformation is defined as
mul * self + add
- Apply
- The
Apply
establishes an interface for owned containers that are capable of applying some function onto their elements. - Apply
Gradient - A trait declaring basic gradient-related routines for a neural network
- Apply
Gradient Ext - This trait extends the ApplyGradient trait by allowing for momentum-based optimization
- Apply
Mut - The
ApplyMut
trait mutates the each element of the container, in-place, using the given function. - Array
Like - AsBias
Dim - The
AsBiasDim
trait is used to define a type that can be used to get the bias dimension of the parameters. - AsComplex
- Backward
- Backward propagate a delta through the system;
- Biased
- Call
InPlace - The [
CallOnMut
] is a supertrait of theCallInto
trait that enables an object to be passed onto a unary, or single value, function that is applied to the object, but with the ability to mutate the object in-place. - Call
Into - The
CallInto
trait is a consuming interface for passing an object into a single-valued function. While the intended affect is the same asCallOn
, the difference is thatCallInto
enables a transfer of ownership instead of relyin upon a reference. - CallOn
- The
CallOn
trait enables an object to be passed onto a unary, or single value, function that is applied to the object. - Clip
- A trait denoting objects capable of being clipped between some minimum and some maximum.
- ClipMut
- This trait enables tensor clipping; it is implemented for
ArrayBase
- Codex
- Cross
Entropy - A trait for computing the cross-entropy loss of a tensor or array
- Decode
- Decode defines a standard interface for decoding data.
- Decrement
Axis - The
DecrementAxis
trait defines a method enabling an axis to decrement itself, - Default
Like - DropOut
- [Dropout] randomly zeroizes elements with a given probability (
p
). - Encode
- Encode defines a standard interface for encoding data.
- Fill
Like - Floor
Div - Forward
- This trait denotes entities capable of performing a single forward step
- Gradient
- the
Gradient
trait defines the gradient of a function, which is a function that takes an input and returns a delta, which is the change in the output with respect to the input. - Heavyside
- Increment
Axis - The
IncrementAxis
trait defines a method enabling an axis to increment itself, effectively adding a new axis to the array. - Init
- A trait for creating custom initialization routines for models or other entities.
- Init
Inplace - This trait enables models to implement custom, in-place initialization methods.
- Initialize
- This trait provides the base methods required for initializing tensors with random values.
The trait is similar to the
RandomExt
trait provided by thendarray_rand
crate, however, it is designed to be more generic, extensible, and optimized for neural network initialization routines. Initialize is implemented forArrayBase
as well asParamsBase
allowing you to randomly initialize new tensors and parameters. - Into
Axis - The
IntoAxis
trait is used to define a conversion routine that takes a type and wraps it in anAxis
type. - Into
Complex - Trait for converting a type into a complex number.
- Inverse
- The
Inverse
trait generically establishes an interface for computing the inverse of a type, regardless of if its a tensor, scalar, or some other compatible type. - IsSquare
IsSquare
is a trait for checking if the layout, or dimensionality, of a tensor is square.- L1Norm
- a trait for computing the L1 norm of a tensor or array
- L2Norm
- a trait for computing the L2 norm of a tensor or array
- Linear
Activation - Loss
- The
Loss
trait defines a common interface for any custom loss function implementations. This trait requires the implementor to define their algorithm for calculating the loss between two values,lhs
andrhs
, which can be of different types,X
andY
respectively. These terms are used generically to allow for flexibility in the allowed types, such as tensors, scalars, or other data structures while clearly defining the “order” in which the operations are performed. It is most common to expect thelhs
to be the predicted output and therhs
to be the actual output, but this is not a strict requirement. The trait also defines an associated typeOutput
, which represents the type of the loss value returned by theloss
method. This allows for different loss functions to return different types of loss values, such as scalars or tensors, depending on the specific implementation of the loss function. - Mask
Fill - This trait is used to fill an array with a value based on a mask. The mask is a boolean array of the same shape as the array.
- MatMul
- The
MatMul
trait defines an interface for matrix multiplication. - MatPow
- The
MatPow
trait defines an interface for computing the exponentiation of a matrix. - Mean
Absolute Error - Compute the mean absolute error (MAE) of the object; more formally, we define the MAE as the average of the absolute differences between the predicted and actual values:
- Mean
Squared Error - The
MeanSquaredError
(MSE) is the average of the squared differences between the ($$\hat{y_{i}}$$) and actual values ($y_{i}
$): - NdLike
- NdTensor
- The [
Tensor
] trait extends theRawTensor
trait to provide additional functionality for tensors, such as creating tensors from shapes, applying functions, and iterating over elements. It is generic over the element typeA
and the dimension type `D - Norm
- The Norm trait serves as a unified interface for various normalization routnines. At the moment, the trait provides L1 and L2 techniques.
- Numerical
- Numerical is a trait for all numerical types; implements a number of core operations
- Ones
Like - Pad
- The
Pad
trait defines a padding operation for tensors. - Percent
Diff - Compute the percentage difference between two values. The percentage difference is defined as:
- RawDimension
- the
RawDimension
trait is used to define a type that can be used as a raw dimension. This trait is primarily used to provide abstracted, generic interpretations of the dimensions of thendarray
crate to ensure long-term compatibility. - RawStore
- The
RawStore
trait provides a generalized interface for all containers. The trait is sealed, preventing any external implementations and is primarily used as the basis for other traits, such asSequential
. - RawTensor
- The
RawTensor
trait defines the base interface for all tensors, - ReLU
- Rho
- The
Rho
trait defines a set of activation functions that can be applied to an implementor of theApply
trait. It provides methods for common activation functions such as linear, heavyside, ReLU, sigmoid, and tanh, along with their derivatives. The trait is generic over a typeU
, which represents the data type of the input to the activation functions. The trait also inherits a type aliasCont<U>
to allow for variance w.r.t. the outputs of defined methods. - RhoComplex
- The
RhoComplex
trait is similar to theRho
trait in that it provides various activation functions for implementos of theApply
trait, however, instead of being truly generic over a typeU
, it is generic over a typeU
that implements theComplexFloat
trait. This enables the use of complex numbers in the activation functions, something particularly useful for signal-based workloads. - Root
- The
Root
trait provides methods for computing the nth root of a number. - RoundTo
- Scalar
- The Scalar trait extends the Numerical trait to include additional mathematical operations for the purpose of reducing the number of overall traits required to complete various machine-learning tasks.
- Scalar
Complex - Sequential
- The
Sequential
trait is a marker trait defining a sequential collection of elements. It is sealed, preventing external implementations, and is used to indicate that a type can be treated as a sequence of elements, such as arrays or vectors. - Sigmoid
- Softmax
- Softmax
Axis - Summary
Statistics - This trait describes the fundamental methods of summary statistics. These include the mean, standard deviation, variance, and more.
- Tanh
- Transpose
- The
Transpose
trait generically establishes an interface for transposing a type - Unsqueeze
- The
Unsqueeze
trait establishes an interface for a routine that unsqueezes an array, by inserting a new axis at a specified position. This is useful for reshaping arrays to meet specific dimensional requirements. - Weighted
- Zeros
Like
Functions§
- calculate_
pattern_ similarity - Calculate similarity between two patterns
- clip_
gradient - Clip the gradient to a maximum value.
- clip_
inf_ nan - concat_
iter - Creates an n-dimensional array from an iterator of n dimensional arrays.
- extract_
patterns - Extract common patterns from historical sequences
- floor_
div - divide two values and round down to the nearest integer.
- genspace
- heavyside
- Heaviside activation function:
- hstack
- stack a 1D array into a 2D array by stacking them horizontally.
- inverse
- is_
similar_ pattern - Check if two patterns are similar enough to be considered duplicates
- layer_
norm - layer_
norm_ axis - linarr
- linear
- the
linear
method is essentially a passthrough method often used in simple models or layers where no activation is needed. - linear_
derivative - the
linear_derivative
method always returns1
as it is a simple, single variable function - pad
- pad_to
- randc
- Generate a random array of complex numbers with real and imaginary parts in the range [0, 1)
- relu
- the relu activation function:
- relu_
derivative - round_
to - Round the given value to the given number of decimal places.
- sigmoid
- the sigmoid activation function:
- sigmoid_
derivative - the derivative of the sigmoid function
- softmax
- Softmax function:
- softmax_
axis - Softmax function along a specific axis:
- stack_
iter - Creates a larger array from an iterator of smaller arrays.
- stdnorm
- Given a shape, generate a random array using the StandardNormal distribution
- stdnorm_
from_ seed - tanh
- the tanh activation function:
- tanh_
derivative - the derivative of the tanh function
- tril
- Returns the lower triangular portion of a matrix.
- triu
- Returns the upper triangular portion of a matrix.
- uniform_
from_ seed - Creates a random array from a uniform distribution using a given key
- vstack
- stack a 1D array into a 2D array by stacking them vertically.
Type Aliases§
- ArcParams
- A type alias for shared parameters
- ArcTensor
- a type alias for a
TensorBase
setup to use a shared, thread-safe internal representation of the data. - CowParams
- A type alias for a
ParamsBase
with a borrowed internal layout - CowTensor
- a type alias for a
TensorBase
using a borrowed layout - PadResult
- Params
- A type alias for a
ParamsBase
with an owned internal layout - Params
View - A type alias for an immutable view of the parameters
- Params
View Mut - A type alias for a mutable view of the parameters
- RawMut
Params - A type alias for the
ParamsBase
whose elements are of type*mut A
using aRawViewRepr
layout - RawView
MutTensor - a type alias for a
TensorBase
with an owned representation - RawView
Params - A type alias for the
ParamsBase
whose elements are of type*const A
using aRawViewRepr
layout - RawView
Tensor - A type alias for a
TensorBase
with a raw pointer representation. - Result
- a type alias for a Result configured with an
Error
as its error type. - Tensor
- a type alias for a
TensorBase
with an owned representation - Tensor
View - a type alias for a
TensorBase
with a view representation - Tensor
View Mut - a type alias for a
TensorBase
with a mutable view representation