You’re right. You want a personal roadmap for finishing the entire Micrograd++ project, not a document added to the repository.
Here is the plan I recommend following.
Micrograd++ is complete when you can:
- Explain every line of the scalar autograd engine.
- Build and train
Neuron → Layer → MLP. - Implement reusable losses and optimizers.
- Verify gradients against PyTorch.
- Train an MLP on XOR.
- Train a small classifier on 2D data.
- Visualize a computation graph.
- Explain the project clearly in your README.
GPT-2 is not part of the core Micrograd++ project. It should become the next project after this one.
Your long-term path is:
micrograd++ → makemore-style language model → transformer → GPT-2-style model
Already completed:
- repository setup;
- README and project image;
- scalar
Valueclass; - forward computation;
- addition;
- multiplication;
- negation;
- subtraction;
- reverse addition and multiplication;
- powers;
- division;
tanh;- topological sorting;
- automatic backpropagation;
- first manual gradient test;
- first GitHub commit.
Currently incomplete:
- robust test suite;
- ReLU and other activations;
- neural-network classes;
- loss classes;
- optimizers;
- weight initialization;
- XOR example;
- moons/circles example;
- graph visualization;
- packaging and final documentation.
The files nn.py, losses.py, optimizers.py, init.py, and activations.py are currently placeholders. That is fine. Do not implement all of them at once.
File:
micrograd/engine.py
Your current engine works, but first make the foundation complete and predictable.
Add or verify:
Value
├── data
├── grad
├── _prev
├── _op
├── _backward
├── __repr__
├── __add__
├── __mul__
├── __neg__
├── __sub__
├── __radd__
├── __rmul__
├── __rsub__
├── __pow__
├── __truediv__
├── tanh
└── backward
Add __rsub__ because this should work:
3 - aThe expression should become:
Value(3) + (-a)Also decide whether you want to support:
a + 3
3 + a
a * 3
3 * a
a - 3
3 - a
a / 3
3 / aTest forward values:
addition
multiplication
subtraction
division
power
tanh
Test gradients:
a + b
a * b
a*b + a
a**2
a / b
tanh(a)
You can calculate these without looking at the implementation:
d = a*b + a
∂d/∂a = b + 1
∂d/∂b = a
Commit:
git commit -m "test: cover scalar engine operations and gradients"Your current test_engine.py is a manual script. Keep it for learning, but convert it into separate test functions.
Install pytest if needed:
python3 -m pip install pytestChange the structure to something like:
def test_add_backward():
...
def test_mul_backward():
...
def test_tanh_backward():
...
def test_chained_graph():
...Run:
python3 -m pytest -qFor each operation:
- Build the graph with your
Value. - Build the same graph with PyTorch.
- Call backward on both.
- Compare forward values.
- Compare gradients.
Use float64 in PyTorch:
torch.tensor(2.0, dtype=torch.float64, requires_grad=True)This makes the comparison more precise.
Every core operator has:
one forward test
one gradient test
one edge-case test where relevant
Commit:
git commit -m "test: compare micrograd gradients with PyTorch"Start with ReLU.
relu(x) = max(0, x)
Derivative:
1 if x > 0
0 if x <= 0
Test at:
x = -2
x = 0
x = 2
Then add:
sigmoid
leaky_relu
Add exp() and log() to Value because later losses need them.
Recommended order:
ReLU
exp
log
sigmoid
LeakyReLU
Do not start with GELU. GELU is useful later because GPT-style models use it, but it introduces more derivative and numerical details.
You understand that every activation follows the same pattern:
1. calculate forward output
2. create output Value
3. record parent
4. define local derivative
5. multiply by out.grad
6. attach _backward
Commit each meaningful feature separately:
git commit -m "feat: add ReLU activation"
git commit -m "feat: add exp and log operations"
git commit -m "feat: add sigmoid and leaky ReLU"File:
micrograd/nn.py
Build in this order:
Module
→ Neuron
→ Layer
→ MLP
This mirrors the PyTorch idea.
It should eventually provide:
model.parameters()
model.zero_grad()parameters() must return every trainable Value.
A neuron computes:
w₁x₁ + w₂x₂ + ... + b
Then applies an activation:
activation(weighted_sum)
Start with:
tanh
Add activation selection only after the basic neuron works.
A layer is several neurons receiving the same input:
input → neuron 1
→ neuron 2
→ neuron 3
An MLP is a sequence of layers:
input → layer 1 → layer 2 → output
Example:
MLP(2, [4, 4, 1])means:
2 inputs
→ 4 neurons
→ 4 neurons
→ 1 output
You can run:
model = MLP(2, [4, 4, 1])
prediction = model([1.0, 0.0])
parameters = model.parameters()and explain:
- what
__call__does; - how inputs move through layers;
- where every parameter comes from;
- why each parameter is a
Value.
Commit:
git commit -m "feat: add Neuron Layer and MLP modules"File:
micrograd/losses.py
Start with MSE.
MSE = average((prediction - target)²)
Make it callable:
loss_fn = MSELoss()
loss = loss_fn(predictions, targets)This is the reusable version of the loss you wrote in Karpathy’s training loop.
Then add binary cross-entropy later.
Before binary cross-entropy, make sure Value.log() works correctly.
Recommended order:
MSELoss
→ log operation
→ sigmoid output
→ BinaryCrossEntropy
→ BCEWithLogitsLoss
For this project, MSELoss is enough to train XOR initially. Cross-entropy is useful, but not required for the first successful model.
You can test:
forward loss value
gradient with respect to prediction
gradient against PyTorch
Commit:
git commit -m "feat: add mean squared error loss"Later:
git commit -m "feat: add binary cross entropy loss"File:
micrograd/optimizers.py
Your current manual training update is:
for p in model.parameters():
p.data += -learning_rate * p.gradTurn that into an optimizer.
Implement:
optimizer.zero_grad()
optimizer.step()This should be the first optimizer.
Then add velocity:
velocity = momentum × old_velocity - learning_rate × gradient
parameter += velocity
Implement Adam only after SGD and momentum are understood.
Adam needs:
first moment
second moment
bias correction
epsilon
timestep
Do not copy the formula blindly. Write down what each state variable represents.
You understand the difference between:
backward()
which calculates gradients, and:
optimizer.step()
which changes parameters.
Test optimizer updates against PyTorch for a single parameter.
Commit:
git commit -m "feat: add SGD optimizer"
git commit -m "feat: add SGD momentum"
git commit -m "feat: add Adam optimizer"File:
micrograd/init.py
Start with simple random initialization so the network works.
Then add:
Xavier initialization
Kaiming/He initialization
Understand why initialization matters:
- too-large weights can cause exploding activations;
- too-small weights can cause vanishing signals;
- ReLU usually pairs well with Kaiming;
- tanh and sigmoid commonly pair with Xavier.
Do not worry about making this industrial-grade. This is a scalar educational engine.
Neuron can choose an initialization method:
Neuron(nin=4, init="xavier")
Neuron(nin=4, init="kaiming")Commit:
git commit -m "feat: add Xavier and Kaiming initialization"File:
examples/01_xor.py
Dataset:
[0, 0] → 0
[0, 1] → 1
[1, 0] → 1
[1, 1] → 0
Use:
MLP
MSELoss
SGD or Adam
tanh or ReLU
Training loop:
1. forward pass
2. calculate predictions
3. calculate loss
4. zero gradients
5. backward
6. optimizer step
7. print loss
The loss should decrease.
Do not worry if it does not reach exactly zero immediately. Investigate:
- learning rate;
- initialization;
- activation;
- model size;
- whether gradients are reset;
- whether parameters are actually updated.
The model predicts approximately:
0
1
1
0
and the loss clearly decreases.
Save a loss plot:
assets/xor-loss.png
Commit:
git commit -m "feat: train an MLP on XOR"This is the first major finish milestone.
File:
examples/02_moons.py
Use a small dataset such as:
make_moons
or:
make_circles
The goal is to prove that your engine can learn a nonlinear boundary.
Steps:
- create 2D points;
- split training and test data;
- build an MLP;
- train with binary loss;
- calculate accuracy;
- plot the decision boundary.
Save:
assets/moons-boundary.png
You have:
training loss curve
test accuracy
decision-boundary plot
Commit:
git commit -m "feat: classify two-dimensional moons data"File:
viz/graph.py
Port the graph drawing idea from Karpathy.
Given a final Value, show:
node data
node gradient
operation
edges
Test it with:
a = Value(2.0)
b = Value(3.0)
c = (a * b).tanh()
c.backward()Then save a graph image for the README.
This phase is useful because it connects the code to the mental model you learned in the lecture.
Commit:
git commit -m "feat: visualize scalar computation graphs"Now review the repository as a library.
Add or improve:
pyproject.toml
requirements.txt
Make sure:
from micrograd.engine import Value
from micrograd.nn import MLP
from micrograd.losses import MSELoss
from micrograd.optimizers import SGDworks from the project root.
Remove unused placeholder confusion or clearly mark future modules as planned.
Add:
__all__
only if it genuinely improves imports. Do not add abstractions just to look professional.
Run:
python3 -m pytest
python3 -m py_compile micrograd/engine.py
git diff --checkOptional later:
ruff
mypy
GitHub Actions
These are polish, not the learning core.
Commit:
git commit -m "chore: polish package structure and development checks"Update the README only with features that actually work.
It should show:
why the project exists
what currently works
how to install it
how to run tests
how to run XOR
how gradients are verified
limitations
future work
Include screenshots of:
XOR loss curve
decision boundary
computation graph
pytest output
Be honest about the main limitation:
This is a scalar educational engine, so it is intentionally much slower and smaller than PyTorch.
That limitation is part of the point.
Call Micrograd++ complete when all of these are true:
[ ] Value engine works
[ ] Automatic backward works
[ ] Core operators are tested
[ ] Activations are tested
[ ] Neuron works
[ ] Layer works
[ ] MLP works
[ ] MSE loss works
[ ] SGD works
[ ] Adam works or is clearly marked optional
[ ] Model parameters can be collected
[ ] Gradients can be reset
[ ] XOR trains successfully
[ ] A 2D classifier trains successfully
[ ] Computational graphs can be visualized
[ ] README explains the project
[ ] Tests pass from a clean checkout
[ ] Git history shows incremental work
You do not need MNIST to call the project complete. You do not need GELU, Adam, or CrossEntropy to prove that you understand the core. They are extensions.
For every feature, follow this loop:
1. Learn the math
2. Explain the idea in plain language
3. Write the smallest forward example
4. Add the local backward rule
5. Test the gradient by hand
6. Compare with PyTorch
7. Add the feature to the project
8. Run all tests
9. Commit
10. Write down what is clear and what is fuzzy
Use one commit per meaningful feature:
feat: add ReLU activation
test: compare tanh gradient with PyTorch
feat: add MLP modules
feat: add SGD optimizer
feat: train XOR example
At the beginning of each session:
git status
git log --oneline -5
python3 -m pytest -qAt the end:
git diff --check
python3 -m pytest -q
git statusYour immediate next phase is not nn.py.
First convert the current manual test into proper tests and add coverage for:
addition
multiplication
chained graph
tanh
power
division
Then add __rsub__.
After those tests pass, implement ReLU.
Only after ReLU and the test suite are stable should you begin Neuron → Layer → MLP.
This roadmap gives you a complete path without turning Micrograd++ into an unfinished imitation of PyTorch.