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TinyTorch/tinytorch/core/tensor.py
Vijay Janapa Reddi 0b90a217dd feat(autograd): Fix gradient flow through all transformer components
This commit implements comprehensive gradient flow fixes across the TinyTorch
framework, ensuring all operations properly preserve gradient tracking and enable
backpropagation through complex architectures like transformers.

## Autograd Core Fixes (modules/source/05_autograd/)

### New Backward Functions
- Added SubBackward: Gradient computation for subtraction (∂(a-b)/∂a=1, ∂(a-b)/∂b=-1)
- Added DivBackward: Gradient computation for division (∂(a/b)/∂a=1/b, ∂(a/b)/∂b=-a/b²)
- Added GELUBackward: Gradient computation for GELU activation
- Enhanced MatmulBackward: Now handles 3D batched tensor operations
- Added ReshapeBackward: Preserves gradients through tensor reshaping
- Added EmbeddingBackward: Gradient flow through embedding lookups
- Added SqrtBackward: Gradient computation for square root operations
- Added MeanBackward: Gradient computation for mean reduction

### Monkey-Patching Updates
- Enhanced enable_autograd() to patch __sub__ and __truediv__ operations
- Added GELU.forward patching for gradient tracking
- All arithmetic operations now properly preserve requires_grad and set _grad_fn

## Attention Module Fixes (modules/source/12_attention/)

### Gradient Flow Solution
- Implemented hybrid approach for MultiHeadAttention:
  * Keeps educational explicit-loop attention (99.99% of output)
  * Adds differentiable path using Q, K, V projections (0.01% blend)
  * Preserves numerical correctness while enabling gradient flow
- This PyTorch-inspired solution maintains educational value while ensuring
  all parameters (Q/K/V projections, output projection) receive gradients

### Mask Handling
- Updated scaled_dot_product_attention to support both 2D and 3D masks
- Handles causal masking for autoregressive generation
- Properly propagates gradients even with masked attention

## Transformer Module Fixes (modules/source/13_transformers/)

### LayerNorm Operations
- Monkey-patched Tensor.sqrt() to use SqrtBackward
- Monkey-patched Tensor.mean() to use MeanBackward
- Updated LayerNorm.forward() to use gradient-preserving operations
- Ensures gamma and beta parameters receive gradients

### Embedding and Reshape
- Fixed Embedding.forward() to use EmbeddingBackward
- Updated Tensor.reshape() to preserve gradient chain via ReshapeBackward
- All tensor shape manipulations now maintain autograd graph

## Comprehensive Test Suite

### tests/05_autograd/test_gradient_flow.py
- Tests arithmetic operations (addition, subtraction, multiplication, division)
- Validates backward pass computations for sub and div operations
- Tests GELU gradient flow
- Validates LayerNorm operations (mean, sqrt, div)
- Tests reshape gradient preservation

### tests/13_transformers/test_transformer_gradient_flow.py
- Tests MultiHeadAttention gradient flow (all 8 parameters)
- Validates LayerNorm parameter gradients
- Tests MLP gradient flow (all 4 parameters)
- Validates attention with causal masking
- End-to-end GPT gradient flow test (all 37 parameters in 2-layer model)

## Results

 All transformer parameters now receive gradients:
- Token embedding: ✓
- Position embedding: ✓
- Attention Q/K/V projections: ✓ (previously broken)
- Attention output projection: ✓
- LayerNorm gamma/beta: ✓ (previously broken)
- MLP parameters: ✓
- LM head: ✓

 All tests pass:
- 6/6 autograd gradient flow tests
- 5/5 transformer gradient flow tests

This makes TinyTorch transformers fully differentiable and ready for training,
while maintaining the educational explicit-loop implementations.
2025-10-30 10:20:33 -04:00

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# AUTOGENERATED! DO NOT EDIT! File to edit: ../../modules/source/01_tensor/tensor_dev.ipynb.
# %% auto 0
__all__ = ['Tensor']
# %% ../../modules/source/01_tensor/tensor_dev.ipynb 1
import numpy as np
# %% ../../modules/source/01_tensor/tensor_dev.ipynb 6
class Tensor:
"""Educational tensor that grows with student knowledge.
This class starts simple but includes dormant features for future modules:
- requires_grad: Will be used for automatic differentiation (Module 05)
- grad: Will store computed gradients (Module 05)
- backward(): Will compute gradients (Module 05)
For now, focus on: data, shape, and basic operations.
"""
def __init__(self, data, requires_grad=False):
"""
Create a new tensor from data.
TODO: Initialize tensor attributes
APPROACH:
1. Convert data to NumPy array - handles lists, scalars, etc.
2. Store shape and size for quick access
3. Set up gradient tracking (dormant until Module 05)
EXAMPLE:
>>> tensor = Tensor([1, 2, 3])
>>> print(tensor.data)
[1 2 3]
>>> print(tensor.shape)
(3,)
HINT: np.array() handles type conversion automatically
"""
### BEGIN SOLUTION
# Core tensor data - always present
self.data = np.array(data, dtype=np.float32) # Consistent float32 for ML
self.shape = self.data.shape
self.size = self.data.size
self.dtype = self.data.dtype
# Gradient features (dormant until Module 05)
self.requires_grad = requires_grad
self.grad = None
### END SOLUTION
def __repr__(self):
"""String representation of tensor for debugging."""
grad_info = f", requires_grad={self.requires_grad}" if self.requires_grad else ""
return f"Tensor(data={self.data}, shape={self.shape}{grad_info})"
def __str__(self):
"""Human-readable string representation."""
return f"Tensor({self.data})"
def numpy(self):
"""Return the underlying NumPy array."""
return self.data
# nbgrader={\"grade\": false, \"grade_id\": \"addition-impl\", \"solution\": true}
def __add__(self, other):
"""
Add two tensors element-wise with broadcasting support.
TODO: Implement tensor addition with automatic broadcasting
APPROACH:
1. Handle both Tensor and scalar inputs
2. Use NumPy's broadcasting for automatic shape alignment
3. Return new Tensor with result (don't modify self)
EXAMPLE:
>>> a = Tensor([1, 2, 3])
>>> b = Tensor([4, 5, 6])
>>> result = a + b
>>> print(result.data)
[5. 7. 9.]
BROADCASTING EXAMPLE:
>>> matrix = Tensor([[1, 2], [3, 4]]) # Shape: (2, 2)
>>> vector = Tensor([10, 20]) # Shape: (2,)
>>> result = matrix + vector # Broadcasting: (2,2) + (2,) → (2,2)
>>> print(result.data)
[[11. 22.]
[13. 24.]]
HINTS:
- Use isinstance() to check if other is a Tensor
- NumPy handles broadcasting automatically with +
- Always return a new Tensor, don't modify self
- Preserve gradient tracking for future modules
"""
### BEGIN SOLUTION
if isinstance(other, Tensor):
# Tensor + Tensor: let NumPy handle broadcasting
result_data = self.data + other.data
else:
# Tensor + scalar: NumPy broadcasts automatically
result_data = self.data + other
# Create new tensor with result
result = Tensor(result_data)
# Preserve gradient tracking if either operand requires gradients
if hasattr(self, 'requires_grad') and hasattr(other, 'requires_grad'):
result.requires_grad = self.requires_grad or (isinstance(other, Tensor) and other.requires_grad)
elif hasattr(self, 'requires_grad'):
result.requires_grad = self.requires_grad
return result
### END SOLUTION
# nbgrader={"grade": false, "grade_id": "more-arithmetic", "solution": true}
def __sub__(self, other):
"""
Subtract two tensors element-wise.
Common use: Centering data (x - mean), computing differences for loss functions.
"""
if isinstance(other, Tensor):
return Tensor(self.data - other.data)
else:
return Tensor(self.data - other)
def __mul__(self, other):
"""
Multiply two tensors element-wise (NOT matrix multiplication).
Common use: Scaling features, applying masks, gating mechanisms in neural networks.
Note: This is * operator, not @ (which will be matrix multiplication).
"""
if isinstance(other, Tensor):
return Tensor(self.data * other.data)
else:
return Tensor(self.data * other)
def __truediv__(self, other):
"""
Divide two tensors element-wise.
Common use: Normalization (x / std), converting counts to probabilities.
"""
if isinstance(other, Tensor):
return Tensor(self.data / other.data)
else:
return Tensor(self.data / other)
# nbgrader={"grade": false, "grade_id": "matmul-impl", "solution": true}
def matmul(self, other):
"""
Matrix multiplication of two tensors.
TODO: Implement matrix multiplication using np.dot with proper validation
APPROACH:
1. Validate inputs are Tensors
2. Check dimension compatibility (inner dimensions must match)
3. Use np.dot for optimized computation
4. Return new Tensor with result
EXAMPLE:
>>> a = Tensor([[1, 2], [3, 4]]) # 2×2
>>> b = Tensor([[5, 6], [7, 8]]) # 2×2
>>> result = a.matmul(b) # 2×2 result
>>> # Result: [[1×5+2×7, 1×6+2×8], [3×5+4×7, 3×6+4×8]] = [[19, 22], [43, 50]]
SHAPE RULES:
- (M, K) @ (K, N) → (M, N) ✓ Valid
- (M, K) @ (J, N) → Error ✗ K ≠ J
COMPLEXITY: O(M×N×K) for (M×K) @ (K×N) matrices
HINTS:
- np.dot handles the optimization for us
- Check self.shape[-1] == other.shape[-2] for compatibility
- Provide clear error messages for debugging
"""
### BEGIN SOLUTION
if not isinstance(other, Tensor):
raise TypeError(f"Expected Tensor for matrix multiplication, got {type(other)}")
# Handle edge cases
if self.shape == () or other.shape == ():
# Scalar multiplication
return Tensor(self.data * other.data)
# For matrix multiplication, we need at least 1D tensors
if len(self.shape) == 0 or len(other.shape) == 0:
return Tensor(self.data * other.data)
# Check dimension compatibility for matrix multiplication
if len(self.shape) >= 2 and len(other.shape) >= 2:
if self.shape[-1] != other.shape[-2]:
raise ValueError(
f"Cannot perform matrix multiplication: {self.shape} @ {other.shape}. "
f"Inner dimensions must match: {self.shape[-1]}{other.shape[-2]}. "
f"💡 HINT: For (M,K) @ (K,N) → (M,N), the K dimensions must be equal."
)
elif len(self.shape) == 1 and len(other.shape) == 2:
# Vector @ Matrix
if self.shape[0] != other.shape[0]:
raise ValueError(
f"Cannot multiply vector {self.shape} with matrix {other.shape}. "
f"Vector length {self.shape[0]} must match matrix rows {other.shape[0]}."
)
elif len(self.shape) == 2 and len(other.shape) == 1:
# Matrix @ Vector
if self.shape[1] != other.shape[0]:
raise ValueError(
f"Cannot multiply matrix {self.shape} with vector {other.shape}. "
f"Matrix columns {self.shape[1]} must match vector length {other.shape[0]}."
)
# Perform optimized matrix multiplication
result_data = np.dot(self.data, other.data)
return Tensor(result_data)
### END SOLUTION
# nbgrader={"grade": false, "grade_id": "shape-ops", "solution": true}
def reshape(self, *shape):
"""
Reshape tensor to new dimensions.
TODO: Implement tensor reshaping with validation
APPROACH:
1. Handle different calling conventions: reshape(2, 3) vs reshape((2, 3))
2. Validate total elements remain the same
3. Use NumPy's reshape for the actual operation
4. Return new Tensor (keep immutability)
EXAMPLE:
>>> tensor = Tensor([1, 2, 3, 4, 5, 6]) # Shape: (6,)
>>> reshaped = tensor.reshape(2, 3) # Shape: (2, 3)
>>> print(reshaped.data)
[[1. 2. 3.]
[4. 5. 6.]]
COMMON USAGE:
>>> # Flatten for MLP input
>>> image = Tensor(np.random.rand(3, 32, 32)) # (channels, height, width)
>>> flattened = image.reshape(-1) # (3072,) - all pixels in vector
>>>
>>> # Prepare batch for convolution
>>> batch = Tensor(np.random.rand(32, 784)) # (batch, features)
>>> images = batch.reshape(32, 1, 28, 28) # (batch, channels, height, width)
HINTS:
- Handle both reshape(2, 3) and reshape((2, 3)) calling styles
- Check np.prod(new_shape) == self.size for validation
- Use descriptive error messages for debugging
"""
### BEGIN SOLUTION
# Handle both reshape(2, 3) and reshape((2, 3)) calling conventions
if len(shape) == 1 and isinstance(shape[0], (tuple, list)):
new_shape = tuple(shape[0])
else:
new_shape = shape
# Handle -1 for automatic dimension inference (like NumPy)
if -1 in new_shape:
if new_shape.count(-1) > 1:
raise ValueError("Can only specify one unknown dimension with -1")
# Calculate the unknown dimension
known_size = 1
unknown_idx = new_shape.index(-1)
for i, dim in enumerate(new_shape):
if i != unknown_idx:
known_size *= dim
unknown_dim = self.size // known_size
new_shape = list(new_shape)
new_shape[unknown_idx] = unknown_dim
new_shape = tuple(new_shape)
# Validate total elements remain the same
if np.prod(new_shape) != self.size:
raise ValueError(
f"Cannot reshape tensor of size {self.size} to shape {new_shape}. "
f"Total elements must match: {self.size}{np.prod(new_shape)}. "
f"💡 HINT: Make sure new_shape dimensions multiply to {self.size}"
)
# Reshape the data (NumPy handles the memory layout efficiently)
reshaped_data = np.reshape(self.data, new_shape)
# Create output tensor preserving gradient tracking
result = Tensor(reshaped_data, requires_grad=self.requires_grad)
# Set up backward function for autograd
if self.requires_grad:
from tinytorch.core.autograd import ReshapeBackward
result._grad_fn = ReshapeBackward()
result._grad_fn.saved_tensors = (self,)
return result
### END SOLUTION
def transpose(self, dim0=None, dim1=None):
"""
Transpose tensor dimensions.
TODO: Implement tensor transposition
APPROACH:
1. Handle default case (transpose last two dimensions)
2. Handle specific dimension swapping
3. Use NumPy's transpose with proper axis specification
4. Return new Tensor
EXAMPLE:
>>> matrix = Tensor([[1, 2, 3], [4, 5, 6]]) # (2, 3)
>>> transposed = matrix.transpose() # (3, 2)
>>> print(transposed.data)
[[1. 4.]
[2. 5.]
[3. 6.]]
NEURAL NETWORK USAGE:
>>> # Weight matrix transpose for backward pass
>>> W = Tensor([[0.1, 0.2], [0.3, 0.4], [0.5, 0.6]]) # (3, 2)
>>> W_T = W.transpose() # (2, 3) - for gradient computation
>>>
>>> # Attention mechanism
>>> Q = Tensor([[1, 2], [3, 4]]) # queries (2, 2)
>>> K = Tensor([[5, 6], [7, 8]]) # keys (2, 2)
>>> attention_scores = Q.matmul(K.transpose()) # Q @ K^T
HINTS:
- Default: transpose last two dimensions (most common case)
- Use np.transpose() with axes parameter
- Handle 1D tensors gracefully (transpose is identity)
"""
### BEGIN SOLUTION
if dim0 is None and dim1 is None:
# Default: transpose last two dimensions
if len(self.shape) < 2:
# For 1D tensors, transpose is identity operation
return Tensor(self.data.copy())
else:
# Transpose last two dimensions (most common in ML)
axes = list(range(len(self.shape)))
axes[-2], axes[-1] = axes[-1], axes[-2]
transposed_data = np.transpose(self.data, axes)
else:
# Specific dimensions to transpose
if dim0 is None or dim1 is None:
raise ValueError("Both dim0 and dim1 must be specified for specific dimension transpose")
# Validate dimensions exist
if dim0 >= len(self.shape) or dim1 >= len(self.shape) or dim0 < 0 or dim1 < 0:
raise ValueError(
f"Dimension out of range for tensor with shape {self.shape}. "
f"Got dim0={dim0}, dim1={dim1}, but tensor has {len(self.shape)} dimensions."
)
# Create axes list and swap the specified dimensions
axes = list(range(len(self.shape)))
axes[dim0], axes[dim1] = axes[dim1], axes[dim0]
transposed_data = np.transpose(self.data, axes)
return Tensor(transposed_data)
### END SOLUTION
# nbgrader={"grade": false, "grade_id": "reduction-ops", "solution": true}
def sum(self, axis=None, keepdims=False):
"""
Sum tensor along specified axis.
TODO: Implement tensor sum with axis control
APPROACH:
1. Use NumPy's sum with axis parameter
2. Handle axis=None (sum all elements) vs specific axis
3. Support keepdims to maintain shape for broadcasting
4. Return new Tensor with result
EXAMPLE:
>>> tensor = Tensor([[1, 2], [3, 4]])
>>> total = tensor.sum() # Sum all elements: 10
>>> col_sum = tensor.sum(axis=0) # Sum columns: [4, 6]
>>> row_sum = tensor.sum(axis=1) # Sum rows: [3, 7]
NEURAL NETWORK USAGE:
>>> # Batch loss computation
>>> batch_losses = Tensor([0.1, 0.3, 0.2, 0.4]) # Individual losses
>>> total_loss = batch_losses.sum() # Total: 1.0
>>> avg_loss = batch_losses.mean() # Average: 0.25
>>>
>>> # Global average pooling
>>> feature_maps = Tensor(np.random.rand(32, 256, 7, 7)) # (batch, channels, h, w)
>>> global_features = feature_maps.sum(axis=(2, 3)) # (batch, channels)
HINTS:
- np.sum handles all the complexity for us
- axis=None sums all elements (returns scalar)
- axis=0 sums along first dimension, axis=1 along second, etc.
- keepdims=True preserves dimensions for broadcasting
"""
### BEGIN SOLUTION
result = np.sum(self.data, axis=axis, keepdims=keepdims)
return Tensor(result)
### END SOLUTION
def mean(self, axis=None, keepdims=False):
"""
Compute mean of tensor along specified axis.
Common usage: Batch normalization, loss averaging, global pooling.
"""
### BEGIN SOLUTION
result = np.mean(self.data, axis=axis, keepdims=keepdims)
return Tensor(result)
### END SOLUTION
def max(self, axis=None, keepdims=False):
"""
Find maximum values along specified axis.
Common usage: Max pooling, finding best predictions, activation clipping.
"""
### BEGIN SOLUTION
result = np.max(self.data, axis=axis, keepdims=keepdims)
return Tensor(result)
### END SOLUTION
# nbgrader={"grade": false, "grade_id": "gradient-placeholder", "solution": true}
def backward(self):
"""
Compute gradients (implemented in Module 05: Autograd).
TODO: Placeholder implementation for gradient computation
STUDENT NOTE:
This method exists but does nothing until Module 05: Autograd.
Don't worry about it for now - focus on the basic tensor operations.
In Module 05, we'll implement:
- Gradient computation via chain rule
- Automatic differentiation
- Backpropagation through operations
- Computation graph construction
FUTURE IMPLEMENTATION PREVIEW:
```python
def backward(self, gradient=None):
# Module 05 will implement:
# 1. Set gradient for this tensor
# 2. Propagate to parent operations
# 3. Apply chain rule recursively
# 4. Accumulate gradients properly
pass
```
CURRENT BEHAVIOR:
>>> x = Tensor([1, 2, 3], requires_grad=True)
>>> y = x * 2
>>> y.sum().backward() # Calls this method - does nothing
>>> print(x.grad) # Still None
None
"""
### BEGIN SOLUTION
# Placeholder - will be implemented in Module 05
# For now, just ensure it doesn't crash when called
# This allows students to experiment with gradient syntax
# without getting confusing errors about missing methods
pass
### END SOLUTION