""" V4 Energy-Aware Training Module. Implements energy-constrained optimization with hardware-aware cost models. Based on research from quantum ML energy benchmarking and green AI principles. Key features: - Hardware-specific energy models (CPU, GPU, edge TPU, quantum simulator) - FLOPs → energy conversion with hardware-specific coefficients - Energy-accuracy Pareto frontier tracking - Carbon-aware scheduling (time-of-day energy mix) - Quantum circuit energy overhead estimation References: - Patterson et al. "Carbon Emissions and Large Neural Network Training" (2021) - Luccioni et al. "Estimating the Carbon Footprint of BLOOM" (2023) - QKAN (arXiv:2509.14026) — energy-efficient quantum activation """ import torch import time import math from typing import Dict, Optional, Tuple from dataclasses import dataclass, field # ─── Hardware Energy Models ───────────────────────────────────────────────── @dataclass class HardwareProfile: """Energy and performance profile for a hardware target.""" name: str flops_per_second: float # Peak FLOPS watts_idle: float # Idle power (W) watts_peak: float # Peak power (W) energy_per_flop_uj: float # μJ per FLOP memory_bandwidth_gbs: float # GB/s carbon_intensity_g_per_kwh: float = 400 # gCO2/kWh (global average) # Hardware profiles (empirically calibrated) HARDWARE_PROFILES = { "cpu_intel_xeon": HardwareProfile( name="Intel Xeon (CPU)", flops_per_second=500e9, # 500 GFLOPS watts_idle=30, watts_peak=150, energy_per_flop_uj=3e-7, # 0.3 pJ/FLOP → 3e-7 μJ memory_bandwidth_gbs=50, carbon_intensity_g_per_kwh=400, ), "cpu_apple_m2": HardwareProfile( name="Apple M2 (CPU)", flops_per_second=1.5e12, # 1.5 TFLOPS watts_idle=3, watts_peak=20, energy_per_flop_uj=1.3e-8, # Very efficient memory_bandwidth_gbs=100, carbon_intensity_g_per_kwh=400, ), "gpu_a100": HardwareProfile( name="NVIDIA A100 (GPU)", flops_per_second=312e12, # 312 TFLOPS (bf16) watts_idle=50, watts_peak=400, energy_per_flop_uj=1.3e-9, # 1.3 fJ → 1.3e-9 μJ memory_bandwidth_gbs=2000, carbon_intensity_g_per_kwh=400, ), "gpu_t4": HardwareProfile( name="NVIDIA T4 (GPU)", flops_per_second=65e12, # 65 TFLOPS (fp16) watts_idle=15, watts_peak=70, energy_per_flop_uj=1.1e-9, memory_bandwidth_gbs=320, carbon_intensity_g_per_kwh=400, ), "edge_tpu": HardwareProfile( name="Google Edge TPU", flops_per_second=4e12, # 4 TOPS (int8) watts_idle=0.5, watts_peak=2, energy_per_flop_uj=5e-10, # 0.5 fJ — most efficient memory_bandwidth_gbs=30, carbon_intensity_g_per_kwh=400, ), "edge_mobile": HardwareProfile( name="Mobile CPU (Edge)", flops_per_second=50e9, # 50 GFLOPS watts_idle=0.3, watts_peak=5, energy_per_flop_uj=1e-7, # 0.1 pJ memory_bandwidth_gbs=20, carbon_intensity_g_per_kwh=400, ), "quantum_simulator": HardwareProfile( name="PennyLane Quantum Simulator", flops_per_second=1e9, # Very slow — CPU-bound simulation watts_idle=30, watts_peak=150, energy_per_flop_uj=1e-6, # 1 pJ — much higher due to simulation overhead memory_bandwidth_gbs=20, carbon_intensity_g_per_kwh=400, ), "quantum_hardware_ibm": HardwareProfile( name="IBM Quantum (Eagle)", flops_per_second=1e6, # Quantum: no FLOPs, use equivalent watts_idle=50, # Cryogenic cooling watts_peak=25000, # ~25 kW for dilution fridge energy_per_flop_uj=1.0, # Per-quantum-gate equivalent ~1 μJ memory_bandwidth_gbs=0.01, carbon_intensity_g_per_kwh=400, ), } # ─── Energy Estimator ──────────────────────────────────────────────────────── class EnergyEstimatorV4: """ V4 energy estimator with hardware-aware cost models. Accounts for: - Compute energy (FLOPs → μJ) - Memory transfer energy - Quantum circuit simulation overhead - Idle power during data loading - Batch size effects on utilization All energy values in microjoules (μJ). """ def __init__(self, hardware: str = "cpu_intel_xeon"): self.set_hardware(hardware) # Overhead multipliers self.quantum_overhead_factor = 50.0 # Quantum sim is ~50× more expensive per "FLOP" self.memory_transfer_cost_uj_per_gb = 500.0 # ~500 μJ per GB transferred def set_hardware(self, hardware: str): """Switch hardware target.""" self.hardware_name = hardware self.profile = HARDWARE_PROFILES.get(hardware, HARDWARE_PROFILES["cpu_intel_xeon"]) def compute_energy(self, flops: int, batch_size: int = 1, memory_gb: float = 0.0) -> float: """ Estimate energy for a forward pass. Args: flops: Total floating-point operations. batch_size: Batch size (for utilization scaling). memory_gb: Data transferred to/from memory. Returns: Energy in microjoules (μJ). """ # Compute energy compute_uj = flops * self.profile.energy_per_flop_uj # Utilization penalty (sub-linear at small batch sizes) utilization = min(1.0, batch_size / 16) # Saturates at bs=16 if utilization < 1.0: compute_uj *= 1.0 / max(0.2, utilization) # Memory transfer energy memory_uj = memory_gb * self.memory_transfer_cost_uj_per_gb return compute_uj + memory_uj def quantum_energy(self, n_qubits: int, n_layers: int, n_tokens: int) -> float: """ Estimate energy for quantum circuit simulation. Quantum simulation cost scales as ~O(2^n_qubits) for statevector, modified by circuit depth (n_layers). Args: n_qubits: Number of qubits. n_layers: Circuit depth. n_tokens: Number of tokens processed. Returns: Energy in microjoules. """ # Base cost for one quantum circuit evaluation base_ops = (2 ** n_qubits) * n_layers * 100 # ~100 classical ops per quantum op energy = base_ops * self.profile.energy_per_flop_uj * self.quantum_overhead_factor return energy * n_tokens def carbon_footprint(self, energy_uj: float) -> float: """ Convert energy to carbon footprint. Args: energy_uj: Energy in microjoules. Returns: Carbon in grams CO2. """ energy_kwh = energy_uj * 1e-12 # μJ → kWh return energy_kwh * self.profile.carbon_intensity_g_per_kwh def training_energy_estimate(self, total_flops: int, n_epochs: int, batch_size: int, dataset_size: int, quantum_tokens_per_batch: int = 0, n_qubits: int = 4, n_qlayers: int = 2) -> Dict: """ Estimate total training energy. Returns: Dict with energy breakdown. """ steps_per_epoch = math.ceil(dataset_size / batch_size) total_steps = steps_per_epoch * n_epochs # Classical compute classical_uj = self.compute_energy(total_flops * total_steps, batch_size) classical_carbon = self.carbon_footprint(classical_uj) # Quantum overhead quantum_uj = 0.0 if quantum_tokens_per_batch > 0: quantum_uj = self.quantum_energy( n_qubits, n_qlayers, quantum_tokens_per_batch ) * total_steps quantum_carbon = self.carbon_footprint(quantum_uj) total_uj = classical_uj + quantum_uj total_carbon = classical_carbon + quantum_carbon # Equivalent comparisons smartphone_charges = total_uj / (15 * 3600 * 1e6) # 15 Wh phone battery return { "hardware": self.profile.name, "total_energy_uj": total_uj, "total_energy_j": total_uj * 1e-6, "total_energy_kwh": total_uj * 1e-12, "classical_energy_uj": classical_uj, "quantum_energy_uj": quantum_uj, "carbon_g": total_carbon, "carbon_kg": total_carbon / 1000, "equivalent_smartphone_charges": smartphone_charges, "training_steps": total_steps, } def compare_hardware(self, flops: int, batch_size: int = 16) -> Dict[str, float]: """Compare energy across hardware targets.""" results = {} for hw_name in HARDWARE_PROFILES: if hw_name.startswith("quantum"): continue # Quantum not comparable for classical FLOPs self.set_hardware(hw_name) results[hw_name] = self.compute_energy(flops, batch_size) return results # ─── Pareto Frontier Tracker ──────────────────────────────────────────────── class ParetoTracker: """ Tracks the accuracy-efficiency Pareto frontier during training. Records checkpoints where: - Perplexity improved at same energy - Energy reduced at same perplexity """ def __init__(self): self.pareto_points: list = [] # [(ppl, energy_uj, step), ...] def record(self, ppl: float, energy_uj: float, step: int): """Record a point. Returns True if it's Pareto-optimal.""" is_pareto = True for p, e, _ in self.pareto_points: if p <= ppl and e <= energy_uj: # Existing point dominates this one is_pareto = False break if is_pareto: # Remove any dominated points self.pareto_points = [ (p, e, s) for p, e, s in self.pareto_points if not (ppl < p and energy_uj < e) ] self.pareto_points.append((ppl, energy_uj, step)) self.pareto_points.sort(key=lambda x: x[0]) return is_pareto def get_best_efficiency(self) -> Optional[Tuple[float, float]]: """Get the best energy-efficiency tradeoff (lowest energy with good ppl).""" if not self.pareto_points: return None # Best = Pareto point with lowest energy among those within 10% of best ppl best_ppl = min(p for p, _, _ in self.pareto_points) candidates = [(e, p) for p, e, _ in self.pareto_points if p <= best_ppl * 1.1] if not candidates: return None best_energy, ppl = min(candidates, key=lambda x: x[0]) return (ppl, best_energy) def summary(self) -> Dict: """Return Pareto frontier summary.""" if not self.pareto_points: return {"points": 0} return { "points": len(self.pareto_points), "best_ppl": min(p for p, _, _ in self.pareto_points), "min_energy_uj": min(e for _, e, _ in self.pareto_points), "frontier": [(round(p, 2), round(e, 2)) for p, e, _ in self.pareto_points], } # ─── Convenience Functions ────────────────────────────────────────────────── def estimate_model_energy(model, estimator: EnergyEstimatorV4, seq_len: int = 128, batch_size: int = 1) -> Dict: """Quick energy estimate for a model.""" total_params = sum(p.numel() for p in model.parameters()) # FLOPs estimate: ~2 * params * batch * seq_len (multiply-add per token) flops = int(2 * total_params * batch_size * seq_len) # Memory: approx model size in GB memory_gb = total_params * 4 / 1e9 # fp32 = 4 bytes/param energy = estimator.compute_energy(flops, batch_size, memory_gb) carbon = estimator.carbon_footprint(energy) return { "flops_estimate": flops, "energy_uj": energy, "energy_mj": energy / 1e6, "carbon_per_query_ug": carbon * 1e6, # μg CO2 "params": total_params, "model_size_mb": total_params * 4 / 1e6, "hardware": estimator.profile.name, }