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Date: Fri, 5 Jan 2024 18:59:49 +0100 Subject: [PATCH 02/22] Add header and prettify installation section --- README.md | 17 +++++++++++------ 1 file changed, 11 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index a77e370..6baa86c 100644 --- a/README.md +++ b/README.md @@ -1,21 +1,26 @@ +![](/edugrad_header.png) + ![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) -# edugrad ## Installation ``` git clone https://github.com/tostenzel/edugrad cd edugrad +``` -# Setup environment in edugrad/.env and install requirements with conda from environment.yaml +Set up environment in edugrad/.env and install requirements with conda from environment.yaml: +``` conda create --prefix .env conda activate .env/ conda env update --file environment.yaml --prefix .env - -# Install edugrad from source in editable mode to enable absolute imports +``` +Install edugrad from source in editable mode to enable absolute imports: +``` pip install -e . - -# Verify installation +``` +Verify installation: +``` python applications/learn_mnist.py ``` From 6a1bbadf444d7d3c28ca8e1d86f383de7ae15d91 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Fri, 5 Jan 2024 19:01:35 +0100 Subject: [PATCH 03/22] Remote look at other header --- edugrad-header.png | Bin 0 -> 60644 bytes edugrad_header.png | Bin 60803 -> 0 bytes 2 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 edugrad-header.png delete mode 100644 edugrad_header.png diff --git a/edugrad-header.png b/edugrad-header.png new file mode 100644 index 0000000000000000000000000000000000000000..20d0f1294fbee887e94ac9b31aff02f58061c487 GIT binary patch literal 60644 zcmeFZby$^I+c&HzA|j$7At46c-K9vEbc1xW*>od12C)H2X=!Qc4i(ta(jBr1X*S(_ zYYRU2eb2+peBbfCf4#@;IK#!d*0thXXa3G}jo(vw3G8dc*DhSRfGs8YMCrnXt9BPI zT%5dm1+>7~uI_;!7af!&9$(1oAf3N(0po?En1-W`tEq*x$puPw(bFeNHWqV;gCiyT z6G}EV13Nn=V+#W_djlH>CR-Cn&;;JwK#VO+EliA0`>?UFaWJy5GO}>0uyRwfKjLHs 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Date: Fri, 5 Jan 2024 19:03:00 +0100 Subject: [PATCH 04/22] Small fix --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 6baa86c..e082219 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,4 @@ -![](/edugrad_header.png) +![](/edugrad-header.png) ![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) From ff56f21710380d188c1367b676c4ff8526f2511b Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 01:08:19 +0100 Subject: [PATCH 05/22] Progress --- README.md | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/README.md b/README.md index e082219..d12b44c 100644 --- a/README.md +++ b/README.md @@ -3,6 +3,21 @@ ![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) +**edugrad** is the most simple and minimalistic implementation of a deep learning framework. Its purpose is to demystify the core components of such libraries, explaining their functionality and underlying programming principles. + +## Key Features +- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, essential for training neural networks. +- **Tensor Operations**: Implements fundamental tensor/matrix operations crucial for neural network computations in numpy. +- **Simple Interface**: Offers an API that mirrors PyTorch +- **Educational Code**: The code style and module structure are designed for ease of understanding, both programmatically and conceptually. + +Please note that while edugrad theoretically supports the implementation of any neural network model, it lacks the memory and computational optimizations found in more advanced frameworks. This design choice maximizes code readability but limits the framework's capability to smaller models. + +## Code Structure + +## Credits + + ## Installation ``` From 47bd25e021fed4e229e961e35b8f49edb8527dc6 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 01:09:30 +0100 Subject: [PATCH 06/22] Show this --- README.md | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index d12b44c..996ac0a 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,5 @@ ![](/edugrad-header.png) -![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) - **edugrad** is the most simple and minimalistic implementation of a deep learning framework. Its purpose is to demystify the core components of such libraries, explaining their functionality and underlying programming principles. @@ -13,10 +11,15 @@ Please note that while edugrad theoretically supports the implementation of any neural network model, it lacks the memory and computational optimizations found in more advanced frameworks. This design choice maximizes code readability but limits the framework's capability to smaller models. +![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) + + ## Code Structure ## Credits +## Conceptual Explanations + ## Installation From 215a9baf33682e6ef8906e55f509293b3fb5baa1 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 01:18:11 +0100 Subject: [PATCH 07/22] Progress --- README.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 996ac0a..9bfb403 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,11 @@ ![](/edugrad-header.png) -**edugrad** is the most simple and minimalistic implementation of a deep learning framework. Its purpose is to demystify the core components of such libraries, explaining their functionality and underlying programming principles. +**edugrad** is the most simple and minimalistic implementation of a deep learning framework. Its purpose is to reveal the core components of such libraries, explaining their functionality and underlying programming principles. ## Key Features -- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, essential for training neural networks. -- **Tensor Operations**: Implements fundamental tensor/matrix operations crucial for neural network computations in numpy. +- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, essential for training different types of neural networks with only one framework. +- **Tensor Operations**: Implements a tensor class that allows fundamental matrix operations that are crucial for neural network computations. The backend is numpy. - **Simple Interface**: Offers an API that mirrors PyTorch - **Educational Code**: The code style and module structure are designed for ease of understanding, both programmatically and conceptually. @@ -13,10 +13,11 @@ Please note that while edugrad theoretically supports the implementation of any ![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) +## Credits + ## Code Structure -## Credits ## Conceptual Explanations From 52bb68fd1ea4148d2077f5dd2e24c5eb316c00eb Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 01:35:32 +0100 Subject: [PATCH 08/22] Progress --- README.md | 12 ++++++++---- 1 file changed, 8 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 9bfb403..625fa0e 100644 --- a/README.md +++ b/README.md @@ -1,20 +1,24 @@ ![](/edugrad-header.png) -**edugrad** is the most simple and minimalistic implementation of a deep learning framework. Its purpose is to reveal the core components of such libraries, explaining their functionality and underlying programming principles. +**edugrad** is the most simple and accesible implementation of a deep learning framework. Its purpose is to reveal the core components of such libraries, explaining their functionality and underlying programming principles. ## Key Features -- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, essential for training different types of neural networks with only one framework. -- **Tensor Operations**: Implements a tensor class that allows fundamental matrix operations that are crucial for neural network computations. The backend is numpy. -- **Simple Interface**: Offers an API that mirrors PyTorch +- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, vital for training various types of neural networks within a single framework. +- **Tensor Operations**: Implements a tensor class enabling fundamental matrix operations crucial for neural network computations, with numpy as the backend. +- **Simple Interface**: Provides an API that mirrors PyTorch, making edugrad easy to use. - **Educational Code**: The code style and module structure are designed for ease of understanding, both programmatically and conceptually. Please note that while edugrad theoretically supports the implementation of any neural network model, it lacks the memory and computational optimizations found in more advanced frameworks. This design choice maximizes code readability but limits the framework's capability to smaller models. ![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) +## Example + ## Credits +Starting point of this project is George Hotz' [tinygrad](https://github.com/tinygrad/tinygrad/tree/master), see [license](https://github.com/tostenzel/edugrad/blob/24-write-readmemd-with-implementation-details/LICENSE). I removed features that did not align with edugrad's purpose, eliminated all optimizations, and adjusted the module structures and coding style, adding extensive explanations in docstrings and comments. The changes and additions to the code are relatively minor. The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). + ## Code Structure From bd03a08034d4b1ff0a6dddd6db8a42306b246b47 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 14:55:39 +0100 Subject: [PATCH 09/22] Delete unused imports --- edugrad/__init__.py | 2 +- edugrad/_tensor/tensor_combine_segment.py | 2 -- edugrad/_tensor/tensor_create.py | 2 +- edugrad/_tensor/tensor_index_slice.py | 6 ++---- edugrad/_tensor/tensor_reshape.py | 1 - edugrad/helpers.py | 1 - edugrad/optim/__init__.py | 2 +- edugrad/tensor.py | 2 +- tests/test_tensor_reduce.py | 3 +-- 9 files changed, 7 insertions(+), 14 deletions(-) diff --git a/edugrad/__init__.py b/edugrad/__init__.py index d5e0fc6..902066c 100644 --- a/edugrad/__init__.py +++ b/edugrad/__init__.py @@ -1 +1 @@ -from edugrad.tensor import Tensor +from edugrad.tensor import Tensor # noqa: F401 # pylint:disable=unused-import diff --git a/edugrad/_tensor/tensor_combine_segment.py b/edugrad/_tensor/tensor_combine_segment.py index fa66c53..d23ce30 100644 --- a/edugrad/_tensor/tensor_combine_segment.py +++ b/edugrad/_tensor/tensor_combine_segment.py @@ -61,8 +61,6 @@ def stack(tensors: list[Tensor], dim: int) -> Tensor: Tensor: A new tensor resulting from stacking the given tensors. """ - from edugrad.tensor import Tensor - # Unsqueeze the first tensor and prepare the rest. first = tensors[0].unsqueeze(dim) unsqueezed_tensors = [tensor.unsqueeze(dim) for tensor in tensors[1:]] diff --git a/edugrad/_tensor/tensor_create.py b/edugrad/_tensor/tensor_create.py index e183b4f..4e4ed36 100644 --- a/edugrad/_tensor/tensor_create.py +++ b/edugrad/_tensor/tensor_create.py @@ -9,7 +9,7 @@ import time import math -from typing import Optional, Any +from typing import Any from edugrad.dtypes import DType, dtypes from edugrad.helpers import argfix, prod, shape_int diff --git a/edugrad/_tensor/tensor_index_slice.py b/edugrad/_tensor/tensor_index_slice.py index d5721c3..1e93a41 100644 --- a/edugrad/_tensor/tensor_index_slice.py +++ b/edugrad/_tensor/tensor_index_slice.py @@ -1,9 +1,9 @@ -from typing import Sequence, Optional, Tuple, Union +from typing import Sequence, Optional, Tuple from collections import defaultdict from edugrad.dtypes import dtypes from edugrad.helpers import shape_int -from edugrad._tensor.tensor_reshape import pad, _flatten +from edugrad._tensor.tensor_reshape import _flatten # ***** movement high level ops ***** @@ -169,8 +169,6 @@ def tslice(tensor: "Tensor", arg: Sequence[Optional[Tuple[int, shape_int]]], val - value (float): The padding value to be used if necessary. """ - from edugrad.tensor import Tensor - arg_ = tuple([a if a is not None else (0, s) for s, a in zip(tensor.shape, arg)]) padding = tuple([(max(0, -p[0]), max(0, p[1] - tensor.shape[i])) for i, p in enumerate(arg_)]) return tensor.pad(padding, value=value).shrink( diff --git a/edugrad/_tensor/tensor_reshape.py b/edugrad/_tensor/tensor_reshape.py index 5a0ecea..e805629 100644 --- a/edugrad/_tensor/tensor_reshape.py +++ b/edugrad/_tensor/tensor_reshape.py @@ -1,7 +1,6 @@ """Contains various tensor manipulation operations that can change the shape of a tensor.""" from __future__ import annotations -from typing import List, Tuple, Union from edugrad.helpers import argfix, prod, shape_int import edugrad.function as function diff --git a/edugrad/helpers.py b/edugrad/helpers.py index 12ac36d..6c0b8d3 100644 --- a/edugrad/helpers.py +++ b/edugrad/helpers.py @@ -4,7 +4,6 @@ import os import functools from math import prod # noqa: F401 # pylint:disable=unused-import -from dataclasses import dataclass shape_int = int diff --git a/edugrad/optim/__init__.py b/edugrad/optim/__init__.py index 7d2cc2a..5c246a1 100644 --- a/edugrad/optim/__init__.py +++ b/edugrad/optim/__init__.py @@ -1 +1 @@ -from edugrad.optim.optimizer import SGD, Adam, AdamW +from edugrad.optim.optimizer import SGD, Adam, AdamW # noqa: F401 # pylint:disable=unused-import diff --git a/edugrad/tensor.py b/edugrad/tensor.py index 18d6002..4aa383d 100644 --- a/edugrad/tensor.py +++ b/edugrad/tensor.py @@ -11,7 +11,7 @@ from __future__ import annotations import time import math -from typing import ClassVar, Sequence, Any, Type +from typing import ClassVar, Sequence, Any import numpy as np diff --git a/tests/test_tensor_reduce.py b/tests/test_tensor_reduce.py index 523d108..a2e1220 100644 --- a/tests/test_tensor_reduce.py +++ b/tests/test_tensor_reduce.py @@ -1,7 +1,6 @@ import numpy as np -import unittest, copy +import unittest from edugrad import Tensor -from edugrad.dtypes import dtypes class TestZeroShapeTensor(unittest.TestCase): From 5103d6b1dff187f7e0402371251a0b55e3e33930 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 14:56:01 +0100 Subject: [PATCH 10/22] Show dependency graph in Readme --- README.md | 36 ++++++++++++++++++++++++++---------- edugrad-dependencies.png | Bin 0 -> 207974 bytes 2 files changed, 26 insertions(+), 10 deletions(-) create mode 100644 edugrad-dependencies.png diff --git a/README.md b/README.md index 625fa0e..2a052d1 100644 --- a/README.md +++ b/README.md @@ -1,15 +1,21 @@ ![](/edugrad-header.png) - -**edugrad** is the most simple and accesible implementation of a deep learning framework. Its purpose is to reveal the core components of such libraries, explaining their functionality and underlying programming principles. +**edugrad** is the most simple and accesible implementation of a deep learning framework. Its purpose is to reveal the +core components of such libraries, explaining their functionality and underlying programming principles. ## Key Features -- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, vital for training various types of neural networks within a single framework. -- **Tensor Operations**: Implements a tensor class enabling fundamental matrix operations crucial for neural network computations, with numpy as the backend. + +- **Autograd Mechanism**: Features an automatic differentiation system for computing gradients, vital for training + various types of neural networks within a single framework. +- **Tensor Operations**: Implements a tensor class enabling fundamental matrix operations crucial for neural network + computations, with numpy as the backend. - **Simple Interface**: Provides an API that mirrors PyTorch, making edugrad easy to use. -- **Educational Code**: The code style and module structure are designed for ease of understanding, both programmatically and conceptually. +- **Educational Code**: The code style and module structure are designed for ease of understanding, both + programmatically and conceptually. -Please note that while edugrad theoretically supports the implementation of any neural network model, it lacks the memory and computational optimizations found in more advanced frameworks. This design choice maximizes code readability but limits the framework's capability to smaller models. +Please note that while edugrad theoretically supports the implementation of any neural network model, it lacks the +memory and computational optimizations found in more advanced frameworks. This design choice maximizes code readability +but limits the framework's capability to smaller models. ![test workflow badge](https://github.com/tostenzel/edugrad/actions/workflows/Tests.yaml/badge.svg) @@ -17,14 +23,19 @@ Please note that while edugrad theoretically supports the implementation of any ## Credits -Starting point of this project is George Hotz' [tinygrad](https://github.com/tinygrad/tinygrad/tree/master), see [license](https://github.com/tostenzel/edugrad/blob/24-write-readmemd-with-implementation-details/LICENSE). I removed features that did not align with edugrad's purpose, eliminated all optimizations, and adjusted the module structures and coding style, adding extensive explanations in docstrings and comments. The changes and additions to the code are relatively minor. The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). - +Starting point of this project is George Hotz' [tinygrad](https://github.com/tinygrad/tinygrad/tree/master), see +[license](https://github.com/tostenzel/edugrad/blob/24-write-readmemd-with-implementation-details/LICENSE). I removed +features that did not align with edugrad's purpose, eliminated all optimizations, and adjusted the module structures and +coding style, adding extensive explanations in docstrings and comments. The changes and additions to the code are +relatively minor. The autograd mechanism is inspired by Andrej Karpathy's +[micrograd](https://github.com/karpathy/micrograd). ## Code Structure +![](/edugrad-dependencies.png) -## Conceptual Explanations +## Conceptual Explanations ## Installation @@ -33,17 +44,22 @@ git clone https://github.com/tostenzel/edugrad cd edugrad ``` -Set up environment in edugrad/.env and install requirements with conda from environment.yaml: +Set up environment in `edugrad/.env` and install requirements with conda from `environment.yaml`: + ``` conda create --prefix .env conda activate .env/ conda env update --file environment.yaml --prefix .env ``` + Install edugrad from source in editable mode to enable absolute imports: + ``` pip install -e . ``` + Verify installation: + ``` python applications/learn_mnist.py ``` diff --git a/edugrad-dependencies.png b/edugrad-dependencies.png new file mode 100644 index 0000000000000000000000000000000000000000..64080f7c860966bb5d09739cc74c58a4b564bd1c GIT binary patch literal 207974 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The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). ## Code Structure +

+drawing +

-![](/edugrad-dependencies.png) ## Conceptual Explanations From 6833575ca8b1ced10cefbb02813d4cf302bb3254 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 15:01:24 +0100 Subject: [PATCH 12/22] Format again --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 798f7e7..266d453 100644 --- a/README.md +++ b/README.md @@ -32,7 +32,7 @@ relatively minor. The autograd mechanism is inspired by Andrej Karpathy's ## Code Structure

-drawing +drawing

From a1571a3a2feb28aa6a283906e145566252df3269 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 15:08:14 +0100 Subject: [PATCH 13/22] Show centered header --- README.md | 5 ++++- edugrad-header.png | Bin 60644 -> 44958 bytes 2 files changed, 4 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 266d453..5e43973 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,7 @@ -![](/edugrad-header.png) + +

+drawing +

**edugrad** is the most simple and accesible implementation of a deep learning framework. 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-drawing +drawing

**edugrad** is the most simple and accesible implementation of a deep learning framework. 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From 6f88634029a171435bab1d41406eef217b8f5604 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 15:28:49 +0100 Subject: [PATCH 16/22] Progress --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 55fbf76..4d03f28 100644 --- a/README.md +++ b/README.md @@ -4,7 +4,7 @@

**edugrad** is the most simple and accesible implementation of a deep learning framework. Its purpose is to reveal the -core components of such libraries, explaining their functionality and underlying programming principles. +core components of such libraries. ## Key Features @@ -29,7 +29,7 @@ but limits the framework's capability to smaller models. Starting point of this project is George Hotz' [tinygrad](https://github.com/tinygrad/tinygrad/tree/master), see [license](https://github.com/tostenzel/edugrad/blob/24-write-readmemd-with-implementation-details/LICENSE). I removed features that did not align with edugrad's purpose, eliminated all optimizations, and adjusted the module structures and -coding style, adding extensive explanations in docstrings and comments. The changes and additions to the code are +coding style, adding extensive explanations in docstrings and comments. My changes and additions to the shortened and refactored code are relatively minor. The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). 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tostenzel Date: Sat, 6 Jan 2024 18:20:42 +0100 Subject: [PATCH 18/22] Show "The Code" sketch --- README.md | 103 +++++++++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 102 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 4d03f28..bc4f224 100644 --- a/README.md +++ b/README.md @@ -33,12 +33,113 @@ coding style, adding extensive explanations in docstrings and comments. My chang relatively minor. The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). -## Code Structure +## The Code

drawing

+### Low-level (`data.py`), Mid-level (`function.py`) and High-level (`tensor.py) Operations +The computation processes are structured across different levels of operations, namely low-level, mid-level, and high-level operations. + +#### 1. Low-Level Operations +- **Module**: `data.py` (TensorData class) +- **Purpose**: Direct manipulation and execution of basic tensor operations. +- **Characteristics**: + - Core tensor data manipulation using NumPy arrays. + - Implement elemental tensor operations like addition, multiplication, reshaping, etc. + - Immediate execution of operations using CPU, leveraging NumPy's capabilities. Using a different backend like PyTorch or Jax would only require reimpleneting 17 operations in the module. + - Operations at this level do not involve gradient computations or the autograd mechanism. + - Acts as the foundational building block for higher-level operations. + +#### 2. Mid-Level Operations +- **Module**: `function.py` (Function class and its subclasses) +- **Purpose**: Define differentiable functions that include both forward and backward computation logic. +- **Characteristics**: + - Compose low-level ops from `data.py` to define more complex operations. + - Each operation (e.g., `Add`, `Mul`, `Sin`) encapsulates a forward pass and a corresponding backward pass for gradient computation. + - Serves as the backbone of edugrad's autograd system, allowing for automatic differentiation. + - Mid-level operations are used as nodes to build computational graphs during the forward pass, storing necessary information for the backward pass. + +#### 3. High-Level Operations (High-Level Ops) +- **Module**: `tensor.py` (Tensor class) +- **Purpose**: Provide a user-friendly interface for tensor operations and enable building and training neural network models. +- **Characteristics**: + - High-level abstraction for tensor operations. + - Utilizes mid-level ops from `function.py` to implement tensor methods, enabling automatic differentiation without defining a backward function. + - Includes a broad range of operations commonly used in neural networks, like matrix multiplication, activation functions, and loss functions. + - Facilitates the construction and manipulation of larger computational graphs through tensor operations. + - This level is where most users interact with the edugrad library, building and training models using a familiar, PyTorch-like API. + + +### Understanding Computational Graphs in edugrad: Forward and Backward Passes + +In edugrad, the handling of the computational graph, particularly the relationships between nodes (tensors) during the forward and backward passes, is crucial for understanding how automatic differentiation works. Let's delve into the details of how the parents of each node are stored in `Tensor._ctx` and how they are utilized during the backward pass by functions in `autograd.py`. + +#### Forward Pass: Storing Parent Nodes + +During the forward pass, when operations are performed on tensors, new tensors are created as a result of these operations. Each new tensor maintains a reference to its "parent" tensors – the tensors that were used to compute it. This reference is stored in a special attribute called `_ctx`. + +##### _ctx Attribute: + +- When an operation is performed on one or more tensors, an instance of the corresponding `Function` class (from `function.py`) is created. This instance represents the operation itself. +- The `_ctx` attribute of the resultant tensor is set to this instance. It effectively becomes a context that encapsulates the operation and its input tensors. +- The `Function` instance (context) stores the input tensors as parents. These are the tensors whose attributes were used to calculate the resultant tensor. + +##### Example of Forward Pass + +Consider an operation `z = x + y`, where `x` and `y` are tensors. The `Add` function from `function.py` is used: + +```python +class Add(Function): + def forward(self, x: TensorData, y: TensorData) -> TensorData: + return x.elementwise(BinaryOps.ADD, y) + + def backward(self, grad_output: TensorData) -> Tuple[Optional[TensorData], Optional[TensorData]]: + return grad_output if self.needs_input_grad[0] else None, grad_output if self.needs_input_grad[1] else None +``` + +When z is computed: + +```python +z = x + y # Internally calls Add.apply(x, y) +``` + +`z._ctx` is set to an instance of `Add`, and this instance stores `x` and `y` as its parents. + +#### Backward Pass: Utilizing Parent Nodes + +During the backward pass, gradients are computed in reverse order, starting from the final output tensor and propagating through its ancestors. + +#### Backward Function in autograd.py: +- When `backward()` is called on the final output tensor, `autograd.py` starts traversing the computational graph in reverse. +- It begins with the tensor on which `backward()` was called and recursively visits the parent tensors stored in `_ctx`. + +#### Gradient Computation: +- At each tensor, `backward()` calculates the gradient of the tensor with respect to each of its parents. This is done using the `backward` method of the `Function` instance stored in `_ctx`. +- The gradients are then propagated to each parent tensor, where the process repeats. +- If a parent tensor contributes to multiple children, its gradient is accumulated from each child. + +#### Example of Backward Pass + +Continuing with the `z = x + y` example: + +```python +z.backward() +``` + +This call initiates the backward pass: + +- It computes the gradient of `z` (let's call it `dz`) and sets `z.grad` to `dz`. +- Then, it uses `z._ctx` (which is an instance of `Add`) to compute the gradients with respect to `x` and `y` (`dx` and `dy`). +- These gradients are then assigned to `x.grad` and `y.grad`. + +#### Summary + +The essence of edugrad's approach lies in how it builds and navigates the computational graph: + +- **Forward Pass**: Stores parent tensors in `_ctx` of each resultant tensor, encapsulating the operation and its inputs. +- **Backward Pass**: Traverses the graph in reverse, using `_ctx` to access parent tensors (parent in forward pass direction) and compute gradients recursively. This elegantly ties together the chain of computations and their gradients, enabling efficient automatic differentiation. ## Conceptual Explanations From 6159e1b611010a9a71154004ab39c45970703238 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 18:53:44 +0100 Subject: [PATCH 19/22] Move and add images --- README.md | 31 ++++++++++--------- edugrad-dependencies.png | Bin 222980 -> 0 bytes img/edugrad-code-i.png | Bin 0 -> 218934 bytes img/edugrad-code-ii.png | Bin 0 -> 205308 bytes img/edugrad-dependencies.png | Bin 0 -> 183268 bytes edugrad-header.png => img/edugrad-header.png | Bin 6 files changed, 17 insertions(+), 14 deletions(-) delete mode 100644 edugrad-dependencies.png create mode 100644 img/edugrad-code-i.png create mode 100644 img/edugrad-code-ii.png create mode 100644 img/edugrad-dependencies.png rename edugrad-header.png => img/edugrad-header.png (100%) diff --git a/README.md b/README.md index bc4f224..17225ab 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@

-drawing +drawing

**edugrad** is the most simple and accesible implementation of a deep learning framework. Its purpose is to reveal the @@ -34,21 +34,21 @@ relatively minor. The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). ## The Code +

-drawing +drawing

-### Low-level (`data.py`), Mid-level (`function.py`) and High-level (`tensor.py) Operations +### 1. Low-level (`data.py`), Mid-level (`function.py`) and High-level (`tensor.py`) Operations The computation processes are structured across different levels of operations, namely low-level, mid-level, and high-level operations. #### 1. Low-Level Operations -- **Module**: `data.py` (TensorData class) -- **Purpose**: Direct manipulation and execution of basic tensor operations. +- **Module**: `data.py` (`TensorData` class) +- **Purpose**: Execution of most basic tensor operations. - **Characteristics**: - - Core tensor data manipulation using NumPy arrays. - Implement elemental tensor operations like addition, multiplication, reshaping, etc. - - Immediate execution of operations using CPU, leveraging NumPy's capabilities. Using a different backend like PyTorch or Jax would only require reimpleneting 17 operations in the module. + - Immediate execution of operations using CPU, leveraging `numpy.array`'s capabilities. Using a different backend like PyTorch or Jax would only require reimpleneting 17 operations in the module (enumerated in `ops.py`). - Operations at this level do not involve gradient computations or the autograd mechanism. - Acts as the foundational building block for higher-level operations. @@ -58,21 +58,24 @@ The computation processes are structured across different levels of operations, - **Characteristics**: - Compose low-level ops from `data.py` to define more complex operations. - Each operation (e.g., `Add`, `Mul`, `Sin`) encapsulates a forward pass and a corresponding backward pass for gradient computation. - - Serves as the backbone of edugrad's autograd system, allowing for automatic differentiation. - - Mid-level operations are used as nodes to build computational graphs during the forward pass, storing necessary information for the backward pass. + - Serves as the backbone of edugrad's autograd system, allowing for automatic differentiation of different models defined with `edugrad.Tensor`. + - Mid-level operations are used as nodes to build complex computational graphs during the forward pass, storing necessary information for the backward pass. #### 3. High-Level Operations (High-Level Ops) -- **Module**: `tensor.py` (Tensor class) +- **Module**: `tensor.py` (`Tensor` class) - **Purpose**: Provide a user-friendly interface for tensor operations and enable building and training neural network models. - **Characteristics**: - High-level abstraction for tensor operations. - - Utilizes mid-level ops from `function.py` to implement tensor methods, enabling automatic differentiation without defining a backward function. + - Utilizes mid-level ops from `function.py` to implement tensor methods and matrix algebra, enabling automatic differentiation without defining a backward function. - Includes a broad range of operations commonly used in neural networks, like matrix multiplication, activation functions, and loss functions. - Facilitates the construction and manipulation of larger computational graphs through tensor operations. - This level is where most users interact with the edugrad library, building and training models using a familiar, PyTorch-like API. +

+drawing +

-### Understanding Computational Graphs in edugrad: Forward and Backward Passes +### II. Computational Graphs in edugrad: Forward and Backward Passes In edugrad, the handling of the computational graph, particularly the relationships between nodes (tensors) during the forward and backward passes, is crucial for understanding how automatic differentiation works. Let's delve into the details of how the parents of each node are stored in `Tensor._ctx` and how they are utilized during the backward pass by functions in `autograd.py`. @@ -93,7 +96,7 @@ Consider an operation `z = x + y`, where `x` and `y` are tensors. The `Add` func ```python class Add(Function): def forward(self, x: TensorData, y: TensorData) -> TensorData: - return x.elementwise(BinaryOps.ADD, y) + return x.elementwise(ops.BinaryOps.ADD, y) def backward(self, grad_output: TensorData) -> Tuple[Optional[TensorData], Optional[TensorData]]: return grad_output if self.needs_input_grad[0] else None, grad_output if self.needs_input_grad[1] else None @@ -112,7 +115,7 @@ z = x + y # Internally calls Add.apply(x, y) During the backward pass, gradients are computed in reverse order, starting from the final output tensor and propagating through its ancestors. #### Backward Function in autograd.py: -- When `backward()` is called on the final output tensor, `autograd.py` starts traversing the computational graph in reverse. +- When `backward()` is called on the final output tensor, usually the cost/loss, `autograd.ollect_backward_graph()` starts traversing the computational graph in reverse. - It begins with the tensor on which `backward()` was 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