""" Real-Time Neural Data Analysis Pipeline Processes neural signals in real-time with quantum-enhanced ML algorithms """ import math import json import datetime import hashlib from typing import Dict, List, Optional, Any, Union, Tuple from dataclasses import dataclass import itertools import collections @dataclass class AnalysisConfig: """Configuration for real-time analysis""" window_size: float # seconds overlap: float # fraction of window overlap ml_model_type: str # 'quantum_nn', 'classical', 'hybrid' processing_delay: float # maximum allowed delay in seconds class RealTimeAnalyzer: """Real-time neural data analysis pipeline""" def __init__(self, config: AnalysisConfig): self.config = config self.feature_buffer = collections.deque(maxlen=1000) self.ml_models = self._initialize_ml_models() self.analysis_history = [] self.quantum_cache = {} def _initialize_ml_models(self) -> Dict[str, Dict]: """Initialize machine learning models for neural analysis""" return { 'quantum_nn': { 'weights': [hash(f'weight_{i}') % 100 / 100 for i in range(50)], 'bias': [hash(f'bias_{i}') % 100 / 100 for i in range(10)], 'layers': [32, 16, 8, 4, 2] }, 'classical': { 'svm_support_vectors': [[hash(f'sv_{i}_{j}') % 100 / 100 for j in range(10)] for i in range(20)], 'kernel': 'rbf', 'gamma': 0.1 }, 'hybrid': { 'quantum_component': 0.6, 'classical_component': 0.4, 'integration_layer': 'quantum_classical_fusion' } } def extract_time_domain_features(self, signal: List[float]) -> Dict[str, float]: """Extract time-domain features from neural signal""" if not signal: return {} mean_val = sum(signal) / len(signal) variance = sum((x - mean_val) ** 2 for x in signal) / len(signal) std_dev = math.sqrt(variance) # Higher order moments skewness = sum((x - mean_val) ** 3 for x in signal) / (len(signal) * std_dev ** 3) if std_dev > 0 else 0 kurtosis = sum((x - mean_val) ** 4 for x in signal) / (len(signal) * std_dev ** 4) if std_dev > 0 else 0 # Hjorth parameters diff_signal = [signal[i+1] - signal[i] for i in range(len(signal)-1)] activity = variance mobility = math.sqrt(sum(d**2 for d in diff_signal) / len(diff_signal)) / std_dev if std_dev > 0 else 0 complexity = 0 if mobility > 0 and len(diff_signal) > 1: diff_diff = [diff_signal[i+1] - diff_signal[i] for i in range(len(diff_signal)-1)] complexity = math.sqrt(sum(d**2 for d in diff_diff) / len(diff_diff)) / mobility return { 'mean': mean_val, 'std': std_dev, 'variance': variance, 'skewness': skewness, 'kurtosis': kurtosis, 'activity': activity, 'mobility': mobility, 'complexity': complexity, 'rms': math.sqrt(sum(x**2 for x in signal) / len(signal)) } def extract_frequency_features(self, signal: List[float], sample_rate: int) -> Dict[str, float]: """Extract frequency-domain features using simplified FFT""" n = len(signal) if n == 0: return {} # Simplified power spectrum calculation power_spectrum = [] for k in range(n // 2): real_part = sum(signal[i] * math.cos(2 * math.pi * k * i / n) for i in range(n)) imag_part = sum(signal[i] * math.sin(2 * math.pi * k * i / n) for i in range(n)) power = (real_part ** 2 + imag_part ** 2) / (n ** 2) power_spectrum.append(power) # Calculate band powers freq_resolution = sample_rate / n # Standard EEG bands (assuming typical sample rates) bands = { 'delta': (0.5, 4), 'theta': (4, 8), 'alpha': (8, 13), 'beta': (13, 30), 'gamma': (30, 100) } band_powers = {} total_power = sum(power_spectrum) for band_name, (low_freq, high_freq) in bands.items(): low_idx = int(low_freq / freq_resolution) high_idx = int(high_freq / freq_resolution) band_power = sum(power_spectrum[low_idx:high_idx]) band_powers[f'{band_name}_power'] = band_power band_powers[f'{band_name}_relative'] = band_power / total_power if total_power > 0 else 0 # Spectral entropy if total_power > 0: normalized_spectrum = [p / total_power for p in power_spectrum if p > 0] spectral_entropy = -sum(p * math.log2(p) for p in normalized_spectrum) / math.log2(len(normalized_spectrum)) else: spectral_entropy = 0 band_powers['spectral_entropy'] = spectral_entropy band_powers['dominant_frequency'] = power_spectrum.index(max(power_spectrum)) * freq_resolution return band_powers def quantum_feature_extraction(self, signal: List[float]) -> Dict[str, float]: """Quantum-inspired feature extraction""" if not signal: return {} # Quantum state representation signal_norm = math.sqrt(sum(x**2 for x in signal)) normalized_signal = [x / signal_norm for x in signal] if signal_norm > 0 else signal # Quantum entanglement measure (simplified) n = len(normalized_signal) if n >= 2: entanglement = abs(sum(normalized_signal[i] * normalized_signal[i+1] for i in range(n-1))) else: entanglement = 0 # Quantum coherence measure coherence = abs(sum(complex(normalized_signal[i], normalized_signal[i+1]) for i in range(min(n-1, 10)))) / min(n-1, 10) if n > 1 else 0 # Quantum superposition entropy probabilities = [x**2 for x in normalized_signal] superposition_entropy = -sum(p * math.log2(p + 1e-10) for p in probabilities if p > 0) # Calculate variance manually phase_values = [math.atan2(normalized_signal[i], normalized_signal[min(i+1, n-1)]) for i in range(n)] if n > 1 else [] phase_variance = sum((x - sum(phase_values)/len(phase_values))**2 for x in phase_values) / len(phase_values) if phase_values else 0 return { 'quantum_entanglement': entanglement, 'quantum_coherence': coherence, 'superposition_entropy': superposition_entropy, 'quantum_purity': sum(p**2 for p in probabilities), 'quantum_phase_variance': phase_variance } def apply_quantum_neural_network(self, features: Dict[str, float]) -> Dict[str, float]: """Apply quantum neural network for classification""" model = self.ml_models['quantum_nn'] # Feature vector feature_vector = list(features.values()) # Forward pass through quantum-inspired layers layer_input = feature_vector[:16] # Take first 16 features for layer_size in model['layers'][1:]: # Quantum weight multiplication layer_output = [] for j in range(min(layer_size, len(model['bias']))): # Safe dot product weighted_sum = 0 for k in range(len(layer_input)): weight_idx = (j * len(layer_input) + k) % len(model['weights']) weighted_sum += layer_input[k] * model['weights'][weight_idx] # Quantum activation function bias = model['bias'][j] if j < len(model['bias']) else 0 activation = 1 / (1 + math.exp(-weighted_sum + bias)) layer_output.append(activation) layer_input = layer_output return { 'quantum_classification_confidence': layer_input[0] if layer_input else 0, 'quantum_pattern_score': layer_input[1] if len(layer_input) > 1 else 0, 'quantum_certainty': max(layer_input) if layer_input else 0 } def analyze_window(self, data_window: List[Dict], modality: str) -> Dict[str, Any]: """Analyze a single window of neural data""" if not data_window: return {'error': 'Empty data window'} analysis_results = { 'timestamp': datetime.datetime.now().isoformat(), 'modality': modality, 'window_size': len(data_window), 'features': {}, 'classifications': {}, 'quantum_metrics': {} } # Extract features for each channel for channel in data_window[0].keys(): if channel in ['timestamp', 'quantum_coherence', 'quantum_entanglement', 'quantum_superposition']: continue signal = [sample[channel] for sample in data_window if channel in sample] if signal: # Time-domain features time_features = self.extract_time_domain_features(signal) # Frequency-domain features sample_rates = {'eeg': 1000, 'fmri': 1, 'electrophysiology': 30000} freq_features = self.extract_frequency_features(signal, sample_rates.get(modality, 1000)) # Quantum features quantum_features = self.quantum_feature_extraction(signal) analysis_results['features'][channel] = { **time_features, **freq_features, **quantum_features } # Apply machine learning models for channel, features in analysis_results['features'].items(): quantum_result = self.apply_quantum_neural_network(features) analysis_results['classifications'][channel] = quantum_result # Calculate overall quantum metrics all_quantum_features = [] for channel_features in analysis_results['features'].values(): quantum_keys = [k for k in channel_features.keys() if 'quantum' in k] all_quantum_features.extend([channel_features[k] for k in quantum_keys]) if all_quantum_features: # Calculate standard deviation manually mean_features = sum(all_quantum_features) / len(all_quantum_features) stdev = math.sqrt(sum((x - mean_features)**2 for x in all_quantum_features) / len(all_quantum_features)) analysis_results['quantum_metrics'] = { 'overall_quantum_coherence': mean_features, 'quantum_feature_count': float(len(all_quantum_features)), 'quantum_stability': 1.0 - (stdev / mean_features if mean_features > 0 else 1.0) } return analysis_results def real_time_processing(self, data_stream: List[Dict], modality: str, sample_rate: int) -> List[Dict]: """Process data stream in real-time with sliding windows""" window_samples = int(self.config.window_size * sample_rate) step_samples = int(window_samples * (1 - self.config.overlap)) results = [] for start_idx in range(0, len(data_stream) - window_samples + 1, step_samples): window = data_stream[start_idx:start_idx + window_samples] # Simulate real-time processing delay processing_start = datetime.datetime.now() analysis = self.analyze_window(window, modality) analysis['window_start_time'] = start_idx / sample_rate analysis['processing_time'] = (datetime.datetime.now() - processing_start).total_seconds() # Check if processing meets real-time requirements if analysis['processing_time'] > self.config.processing_delay: analysis['real_time_violation'] = True else: analysis['real_time_violation'] = False results.append(analysis) # Store in buffer for adaptive processing self.feature_buffer.append(analysis) return results def adaptive_optimization(self) -> Dict[str, Union[float, str, bool]]: """Adaptive optimization based on processing history""" if len(self.feature_buffer) < 10: return {'status': 'insufficient_data'} recent_processing_times = [r['processing_time'] for r in list(self.feature_buffer)[-10:]] avg_processing_time = sum(recent_processing_times) / len(recent_processing_times) # Optimize parameters if avg_processing_time > self.config.processing_delay * 0.8: # Reduce complexity new_window_size = self.config.window_size * 0.9 new_ml_model = 'classical' # Switch to simpler model elif avg_processing_time < self.config.processing_delay * 0.5: # Can increase complexity new_window_size = min(self.config.window_size * 1.1, 5.0) new_ml_model = 'quantum_nn' # Use quantum model else: new_window_size = self.config.window_size new_ml_model = self.config.ml_model_type return { 'avg_processing_time': avg_processing_time, 'recommended_window_size': new_window_size, 'recommended_model': new_ml_model, 'optimization_applied': avg_processing_time != self.config.processing_delay * 0.5 } def test_realtime_analysis(): """Test the real-time analysis pipeline""" from neural_recording_system import MultiModalRecorder print("Testing Real-Time Neural Analysis Pipeline...") # Initialize components config = AnalysisConfig( window_size=1.0, # 1 second windows overlap=0.5, # 50% overlap ml_model_type='quantum_nn', processing_delay=0.1 # 100ms max delay ) analyzer = RealTimeAnalyzer(config) recorder = MultiModalRecorder() # Generate test data print("Generating test neural data...") eeg_data = recorder.record_eeg(recorder.configs['eeg']) # Real-time processing print("Performing real-time analysis...") results = analyzer.real_time_processing(eeg_data[:10000], 'eeg', 1000) print(f"Processed {len(results)} windows") print(f"Average processing time: {sum(r['processing_time'] for r in results) / len(results):.4f}s") print(f"Real-time violations: {sum(1 for r in results if r['real_time_violation'])}") # Adaptive optimization print("\nRunning adaptive optimization...") optimization = analyzer.adaptive_optimization() print(f"Optimization results: {optimization}") # Sample analysis result if results: sample_result = results[0] print(f"\nSample analysis:") print(f"- Channels analyzed: {list(sample_result['features'].keys())}") print(f"- Features per channel: {len(next(iter(sample_result['features'].values())))}") print(f"- Quantum metrics: {sample_result['quantum_metrics']}") return True if __name__ == "__main__": test_realtime_analysis()