Brown Deep Learning Spring 2024
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    # `core.py` Cheat Sheet! This document can serve as a quick cheat sheet for the various moving classes throughout the `beras` Module! ## Classes in `core.py`: ### `Tensor` (line 7) Essentially, a NumPy Array that can also be marked as trainable. An instance of the `Tensor` class will be a NumPy array, but you can access the `.trainable` boolean value to check if the array is trainable or not. ### `Variable` (line 25) an alias for the `Tensor` class ### `Callable` (line 29) Say you have an instance `layer1` of class `Layer` which extends `Callable`. Calling `layer1(argument)` will be the same as calling `layer1.call(argument)` #### Methods: * `__call__(self, *args, **kwargs) -> Tensor:` Calls the `call()` method with `*args` and `**kwargs**` as arguments. Then, casts output to `Tensor` class and returns. * `call(self, *args, **kwargs)` Abstract method ### `Weighted` (line 48) Abstract class meant to represent any Module that has inherent weights that can be trained. For instance, a Linear/Dense layer has a weight and bias, and thus should subclass `Weighted` #### Methods: * `weights(self) -> list[Tensor]` Abstract method. Intended for the subclass to return the instance's weights. e.g. a Linear layer's `weights` method should return that layer's weight and bias. * `trainable_variables(self) -> list[Tensor]:` Returns a list of all weights which are trainable * `non_trainable_variables(self) -> list[Tensor]:` Returns a list of all weights which are _not_ trainable * `trainable(self) -> bool:` Returns `True` if there are any trainable `Tensor`s. Returns `False` otherwise. * `trainable(self, value: bool):` Sets alll trainable weights to `value`. Mainly will be used to denote Weighted things that should not be trained (by calling `trainable(value=False)`) ### `Diffable` (line 79) `Diffable` subclasses `Callable` and `Weighted`. This means that `Diffable` things should have a call function and weights of some kind. For any class (say `DiffableThing`) which extends `Diffable`, using the `__call__` method will build up a lot of useful instance variables based on the `DiffableThing`'s `call` function. That is to say, say we have `thingInstance = DiffableThing()`. Using `thingInstance(arguments)` will populate `thingInstance`'s instance variables based on the `thingInstance.call` method definition. #### Class Variables * `gradient_tape` You don't need to worry about interfacing with this variable yourself. However, this effectively keeps track of whether there is a GradientTape that is keeping track of `Diffable` operations or not. You'll get very used to seeing something like: ```python with GradientTape as tape: #do some diffable things #do some more diffable things #do some non-diffable things ``` This basically creates a GradientTape to keep track of `Diffable` operations when in the scope of that tape (e.g. lines 2-3). You exit the scope (like exiting an `if` statement) by leaving its indentation level (e.g. `tape` will not record any operations starting from line 4). If the `Diffable` class has a `gradient_tape` that is not `None`, then all instances of classes which extend `Diffable` will record their operations to that `gradient_tape`. #### Instance Variables * `argnames` List of the names of all arguments to the `call` function which are not keyword arguments. You probably won't need to use this * `input_dict` A dictionary which associates all arguments to the `call` function by storing: {`arg_name`: `arg_value`} * `inputs` A list which contains the values passed in as arguments to the `call` function. * `outputs` A list which contains all values returned by the `call` function. #### Methods * `get_input_gradients(self) -> list[np.ndarray]:` Abstract method. Returns list of gradients with respect to inputs. * `get_weight_gradients(self) -> list[np.ndarray]:` Abstract method. Returns list of gradients with respect to weights. * `compose_input_gradients(self, J=None):` Composes (multiplies) the inputted cumulative jacobian matrix (a matrix associating partial derivatives for output variables with respect to input variables) with the input jacobian matrix for the layer. * `compose_weight_gradients(self, J=None) -> list:` Composes (multiplies) the inputted cumulative jacobian matrix with the weight jacobian for the layer.

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