Neural Architecture Search and Automl

# Neural Architecture Search and AutoML

## Introduction & Motivation

Neural Architecture Search (NAS) automates model design exploration, eliminating manual engineering. Critical for specialized domains where optimal architectures are unknown and computational budgets enable automated discovery of superior designs.

Motivation: Automate neural network design for specialized tasks.

Applications: Model design automation, hyperparameter optimization, architecture discovery, efficient network design.

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## Core Concepts & Theory

### Architecture Space

Design parameter ranges.

### Search Strategy

Exploration algorithms.

### Performance Prediction

Early stopping and surrogates.

### Hardware Efficiency

Latency and memory constraints.

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## Mathematical Formulation

Architecture Encoding:
$$\mathbf{a} = [op_1, op_2, \ldots, op_k]$$

Multi-Objective:
$$\max_\mathbf{a} ext{Accuracy}(\mathbf{a}) - \lambda \cdot ext{Latency}(\mathbf{a})$$

Search Reward:
$$R = ext{Validation Accuracy} - \lambda \cdot ext{Computational Cost}$$

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## Advanced Theory & Extensions

### Differentiable Architecture Search

Gradient-based search.

### Evolutionary Algorithms

Population-based search.

### Reinforcement Learning

RL-based architecture generation.

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## Computational Considerations

Search: O(C·S) for C architectures, S searches.

Training: O(A·D·T) for A architectures, D data, T time.

Total: Expensive depending on search space.

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## Practical Implementation Strategies

### Search Space Design

Limiting architecture variations.

### Early Stopping

Quick architecture evaluation.

### Hardware-Aware Search

Deployment constraints.

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## Benchmark Datasets & Evaluation

ImageNet: Vision architectures.

Text: NLP architectures.

TabNet: Tabular data.

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## Key Challenges & Limitations

### Search Cost

Computational expense.

### Transferability

Generalization across datasets.

### Reproducibility

Stochastic search variation.

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## Hyperparameter Tuning

Search population: 10-100.

Generations: 50-500.

Mutation rate: 0.1-0.5.

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## Real-World Applications & Case Studies

Vision: CNN architecture discovery.

NLP: Transformer variants.

Engineering: Domain-specific networks.

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## Integration with Other Methods

NAS + transfer learning; + ensemble methods; + knowledge distillation.

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## Summary & Key Takeaways

NAS automates architecture design discovery.

Principles:
1. Space: Define architecture options.
2. Search: Explore configurations.
3. Evaluation: Assess performance.
4. Selection: Choose best architectures.
5. Deployment: Use discovered designs.

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## Appendix: Practical Labs

### Lab 1: Architecture Encoding

import numpy as np

class ArchitectureEncoding:
 def __init__(self, n_operations=5, n_layers=3):
 self.n_ops = n_operations
 self.n_layers = n_layers
 
 def generate_random_arch(self):
 """Random architecture"""
 return np.random.randint(0, self.n_ops, self.n_layers)
 
 def mutate_arch(self, arch, mutation_rate=0.2):
 """Mutate architecture"""
 mutated = arch.copy()
 
 for i in range(len(mutated)):
 if np.random.random() < mutation_rate:
 mutated[i] = np.random.randint(0, self.n_ops)
 
 return mutated

encoder = ArchitectureEncoding(n_operations=5, n_layers=3)
arch = encoder.generate_random_arch()

print(f"✓ Architecture: {arch}")

### Lab 2: Performance Prediction

import numpy as np

class PerformancePredictor:
 def __init__(self):
 self.weights = np.random.randn(5) * 0.1
 
 def predict_accuracy(self, arch_features):
 """Predict validation accuracy"""
 return 0.7 + 0.2 * (arch_features @ self.weights)
 
 def predict_latency(self, arch_features):
 """Predict inference latency"""
 return 100 * np.exp(0.1 * np.sum(arch_features))

predictor = PerformancePredictor()
features = np.random.rand(5)

acc = predictor.predict_accuracy(features)
lat = predictor.predict_latency(features)

print(f"✓ Predicted accuracy: {acc:.3f}")
print(f"✓ Predicted latency: {lat:.1f} ms")

### Lab 3: Evolutionary Search

import numpy as np

class EvolutionaryArchitectureSearch:
 def __init__(self, pop_size=10, n_layers=3):
 self.pop_size = pop_size
 self.n_layers = n_layers
 self.population = [np.random.randint(0, 5, n_layers) for _ in range(pop_size)]
 self.fitness = np.zeros(pop_size)
 
 def evaluate_fitness(self, arch):
 """Fitness score"""
 return np.random.rand() * 0.5 + np.sum(arch) * 0.01
 
 def evolve_generation(self):
 """One evolution step"""
 for i in range(self.pop_size):
 self.fitness[i] = self.evaluate_fitness(self.population[i])
 
 # Selection
 best_idx = np.argsort(self.fitness)[-2:]
 
 # Crossover and mutation
 for i in range(self.pop_size):
 if np.random.random() < 0.8:
 parent = self.population[best_idx[0]]
 else:
 parent = self.population[best_idx[1]]
 
 self.population[i] = parent.copy()
 
 if np.random.random() < 0.2:
 self.population[i][np.random.randint(self.n_layers)] = np.random.randint(0, 5)

nas = EvolutionaryArchitectureSearch(pop_size=10, n_layers=3)

for gen in range(5):
 nas.evolve_generation()

best_idx = np.argmax(nas.fitness)
print(f"✓ Best architecture fitness: {nas.fitness[best_idx]:.3f}")

### Lab 4: Hardware-Aware Search

import numpy as np

class HardwareAwareNAS:
 def __init__(self):
 self.latency_budget = 50 # ms
 self.memory_budget = 1000 # MB
 
 def estimate_latency(self, architecture):
 """Estimate inference latency"""
 return 10 + np.sum(architecture) * 5
 
 def estimate_memory(self, architecture):
 """Estimate model memory"""
 return 100 + np.sum(architecture) ** 2 * 10
 
 def is_feasible(self, architecture):
 """Check hardware constraints"""
 latency = self.estimate_latency(architecture)
 memory = self.estimate_memory(architecture)
 
 return (latency < self.latency_budget) and (memory < self.memory_budget)
 
 def search_feasible_archs(self, n_candidates=100):
 """Find feasible architectures"""
 feasible = []
 
 for _ in range(n_candidates):
 arch = np.random.randint(0, 5, 3)
 
 if self.is_feasible(arch):
 feasible.append(arch)
 
 return feasible

hw_nas = HardwareAwareNAS()
feasible_archs = hw_nas.search_feasible_archs(n_candidates=100)

print(f"✓ Found {len(feasible_archs)} feasible architectures")

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