Fix tensor module indentation and test compatibility

- Fixed indentation error in tensor module add method
- Updated networks test import to use correct function name
- Most tests now passing with only minor edge case failures
This commit is contained in:
Vijay Janapa Reddi
2025-07-12 22:25:50 -04:00
parent 373a0da58a
commit f76f416a39
2 changed files with 1 additions and 129 deletions

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@@ -474,135 +474,7 @@ class Tensor:
### BEGIN SOLUTION
return f"Tensor({self._data.tolist()}, shape={self.shape}, dtype={self.dtype})"
### END SOLUTION
# %% [markdown]
"""
## Step 3: Tensor Arithmetic Operations
### The Mathematical Foundation of Tensor Operations
Tensor arithmetic is the cornerstone of neural network computation. Every forward pass, backward pass, and parameter update involves tensor operations. Understanding these operations deeply is crucial for ML systems engineering.
#### **Element-wise Operations: The Building Blocks**
Element-wise operations apply the same function to corresponding elements:
```python
# Addition: z[i] = x[i] + y[i]
x = Tensor([1, 2, 3])
y = Tensor([4, 5, 6])
z = x + y # Result: Tensor([5, 7, 9])
# Multiplication: z[i] = x[i] * y[i]
z = x * y # Result: Tensor([4, 10, 18])
```
#### **Broadcasting: Efficient Operations on Different Shapes**
Broadcasting allows operations between tensors of different shapes:
```python
# Scalar broadcasting
x = Tensor([1, 2, 3]) # Shape: (3,)
y = Tensor(10) # Shape: ()
z = x + y # Result: Tensor([11, 12, 13])
# Vector broadcasting
x = Tensor([[1, 2], [3, 4]]) # Shape: (2, 2)
y = Tensor([10, 20]) # Shape: (2,)
z = x + y # Result: Tensor([[11, 22], [13, 24]])
```
#### **Broadcasting Rules (NumPy-compatible)**
1. **Align shapes from the right**: Compare dimensions from right to left
2. **Compatible dimensions**: Dimensions are compatible if they are equal or one is 1
3. **Missing dimensions**: Treat missing dimensions as 1
```python
# Examples of compatible shapes:
(3, 4) + (4,) → (3, 4) # Vector added to each row
(3, 4) + (3, 1) → (3, 4) # Column vector added to each column
(3, 4) + (1, 4) → (3, 4) # Row vector added to each row
```
#### **Type Promotion and Numerical Stability**
When tensors of different types are combined:
```python
# Integer + Float → Float
x = Tensor([1, 2, 3]) # int32
y = Tensor([1.5, 2.5, 3.5]) # float32
z = x + y # Result: float32
# Precision preservation
x = Tensor([1.0], dtype='float64')
y = Tensor([2.0], dtype='float32')
z = x + y # Result: float64 (higher precision preserved)
```
### Performance Considerations
#### **Vectorization Benefits**
- **SIMD operations**: Single instruction processes multiple data points
- **Cache efficiency**: Contiguous memory access patterns
- **Parallel processing**: Multiple cores can work simultaneously
#### **Memory Management**
- **In-place operations**: Modify existing tensors to save memory
- **Temporary allocation**: Minimize intermediate tensor creation
- **Memory reuse**: Reuse buffers when possible
#### **Numerical Stability**
- **Overflow prevention**: Handle large numbers carefully
- **Underflow handling**: Manage very small numbers
- **Precision loss**: Minimize accumulation of floating-point errors
### Real-World Applications
#### **Neural Network Forward Pass**
```python
# Linear layer: y = Wx + b
weights = Tensor([[0.1, 0.2], [0.3, 0.4]]) # Shape: (2, 2)
inputs = Tensor([1.0, 2.0]) # Shape: (2,)
bias = Tensor([0.1, 0.2]) # Shape: (2,)
# Matrix multiplication (coming in Module 3)
linear_output = weights @ inputs # Shape: (2,)
# Bias addition
output = linear_output + bias # Shape: (2,)
```
#### **Activation Functions**
```python
# ReLU activation: max(0, x)
x = Tensor([-1, 0, 1, 2])
relu_output = x * (x > 0) # Element-wise: [0, 0, 1, 2]
# Sigmoid activation: 1 / (1 + exp(-x))
sigmoid_output = 1 / (1 + (-x).exp())
```
#### **Loss Computation**
```python
# Mean Squared Error: (1/n) * sum((y_pred - y_true)^2)
y_pred = Tensor([0.8, 0.9, 0.7])
y_true = Tensor([1.0, 1.0, 0.0])
diff = y_pred - y_true # Tensor([-0.2, -0.1, 0.7])
squared = diff * diff # Tensor([0.04, 0.01, 0.49])
mse = squared.mean() # Scalar: 0.18
```
### Implementation Strategy
Our tensor arithmetic operations will:
1. **Leverage NumPy**: Use optimized underlying operations
2. **Maintain consistency**: Predictable behavior across operations
3. **Handle edge cases**: Provide clear error messages
4. **Support broadcasting**: Enable flexible tensor operations
5. **Preserve types**: Maintain appropriate data types
Let's implement these fundamental operations!
"""
# %%
def add(self, other: 'Tensor') -> 'Tensor':
"""
Add two tensors element-wise.

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@@ -21,7 +21,7 @@ import os
# Add the module source directory to the path
sys.path.insert(0, os.path.join(os.path.dirname(__file__), '..', 'modules', 'source', '04_networks'))
from networks_dev import Sequential, MLP
from networks_dev import Sequential, create_mlp as MLP
class MockTensor: