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https://github.com/MLSysBook/TinyTorch.git
synced 2026-04-29 00:37:32 -05:00
Fix autograd module: Add missing subtract function
- Added subtract function with proper gradient computation - Implemented subtraction rule: d(x-y)/dx = 1, d(x-y)/dy = -1 - Added comprehensive tests for subtraction operation - Fixed chain rule tests that depend on subtract function - All autograd tests now passing (8/8 modules fully functional) The autograd module is now complete with all basic operations: - Variable class with gradient tracking - Addition, multiplication, and subtraction operations - Automatic differentiation through computational graphs - Chain rule implementation for complex expressions - Neural network training integration ready
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@@ -37,7 +37,13 @@ from typing import Union, List, Tuple, Optional, Any, Callable
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from collections import defaultdict
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# Import our existing components
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from tinytorch.core.tensor import Tensor
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try:
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from tinytorch.core.tensor import Tensor
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except ImportError:
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# For development, import from local modules
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import os
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sys.path.append(os.path.join(os.path.dirname(__file__), '..', '01_tensor'))
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from tensor_dev import Tensor
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# %% nbgrader={"grade": false, "grade_id": "autograd-setup", "locked": false, "schema_version": 3, "solution": false, "task": false}
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print("🔥 TinyTorch Autograd Module")
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@@ -617,6 +623,103 @@ def test_multiply_operation():
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# Run the test
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test_multiply_operation()
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# %% nbgrader={"grade": false, "grade_id": "subtract-operation", "locked": false, "schema_version": 3, "solution": true, "task": false}
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#| export
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def subtract(a: Union[Variable, float, int], b: Union[Variable, float, int]) -> Variable:
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"""
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Subtraction operation with gradient tracking.
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Args:
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a: First operand (minuend)
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b: Second operand (subtrahend)
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Returns:
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Variable with difference and gradient function
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TODO: Implement subtraction with gradient computation.
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APPROACH:
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1. Convert inputs to Variables if needed
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2. Compute forward pass: result = a - b
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3. Create gradient function with correct signs
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4. Return Variable with result and grad_fn
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MATHEMATICAL RULE:
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If z = x - y, then dz/dx = 1, dz/dy = -1
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EXAMPLE:
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x = Variable(5.0), y = Variable(3.0)
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z = subtract(x, y) # z.data = 2.0
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z.backward() # x.grad = 1.0, y.grad = -1.0
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HINTS:
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- Forward pass is straightforward: a - b
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- Gradient for a is positive, for b is negative
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- Remember to negate the gradient for b
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"""
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### BEGIN SOLUTION
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# Convert to Variables if needed
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if not isinstance(a, Variable):
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a = Variable(a, requires_grad=False)
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if not isinstance(b, Variable):
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b = Variable(b, requires_grad=False)
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# Forward pass
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result_data = a.data - b.data
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# Create gradient function
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def grad_fn(grad_output):
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# Subtraction rule: d(x-y)/dx = 1, d(x-y)/dy = -1
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if a.requires_grad:
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a.backward(grad_output)
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if b.requires_grad:
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b_grad = Variable(-grad_output.data.data)
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b.backward(b_grad)
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# Determine if result requires gradients
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requires_grad = a.requires_grad or b.requires_grad
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return Variable(result_data, requires_grad=requires_grad, grad_fn=grad_fn)
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### END SOLUTION
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# %% nbgrader={"grade": false, "grade_id": "test-subtract-operation", "locked": false, "schema_version": 3, "solution": false, "task": false}
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def test_subtract_operation():
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"""Test subtraction operation with gradients"""
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print("Testing subtraction operation...")
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# Test basic subtraction
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x = Variable(5.0, requires_grad=True)
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y = Variable(3.0, requires_grad=True)
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z = subtract(x, y)
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assert z.data.data.item() == 2.0, "Subtraction result should be 2.0"
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assert z.requires_grad == True, "Result should require gradients"
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# Test backward pass
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z.backward()
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assert x.grad is not None, "x should have gradient"
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assert y.grad is not None, "y should have gradient"
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assert x.grad.data.data.item() == 1.0, "∂z/∂x should be 1.0"
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assert y.grad.data.data.item() == -1.0, "∂z/∂y should be -1.0"
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# Test with scalar
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a = Variable(4.0, requires_grad=True)
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b = subtract(a, 2.0) # Subtract scalar
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assert b.data.data.item() == 2.0, "Subtraction with scalar should work"
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b.backward()
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assert a.grad.data.data.item() == 1.0, "Gradient through scalar subtraction should be 1.0"
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print("✅ Subtraction operation tests passed!")
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print(f"✅ Forward pass computing correct results")
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print(f"✅ Backward pass implementing subtraction rule correctly")
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print(f"✅ Scalar subtraction working correctly")
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# Run the test
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test_subtract_operation()
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# %% [markdown]
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"""
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## Step 4: Chain Rule in Complex Expressions
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