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MultimodalSystem
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449 lines (388 loc) · 18.6 KB
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import numpy as np
import torch
from qiskit import QuantumCircuit, Aer, execute
from qiskit.circuit import Parameter
class QuantumNN:
def __init__(self, num_qubits):
self.num_qubits = num_qubits
self.circuit = QuantumCircuit(num_qubits)
self.params = [Parameter(f"θ{i}") for i in range(num_qubits)]
for i in range(num_qubits):
self.circuit.rx(self.params[i], i)
self.circuit.measure_all()
def run(self, theta_values):
backend = Aer.get_backend("qasm_simulator")
bound_circuit = self.circuit.bind_parameters(
{self.params[i]: theta_values[i] for i in range(self.num_qubits)}
)
result = execute(bound_circuit, backend, shots=1000).result()
return result.get_counts()
class FractalNN:
def __init__(self, iterations):
self.iterations = iterations
def generate_fractal(self, z, c):
for _ in range(self.iterations):
z = z**2 + c
return z
def process_data(self, data):
processed_data = np.array(
[self.generate_fractal(z, complex(0, 0)) for z in data]
)
return processed_data
class MultimodalSystem:
def __init__(self, classical_model, quantum_model, fractal_model):
self.classical_model = classical_model
self.quantum_model = quantum_model
self.fractal_model = fractal_model
# Enhanced weight parameters with adaptive learning capabilities
self.classical_weight = 0.4
self.quantum_weight = 0.4
self.fractal_weight = 0.2
# Adaptive learning rate for weight optimization
self.adaptive_lr = 0.01
# Expanded integration modes with quantum-specific algorithms
self.integration_modes = [
"concatenate",
"weighted",
"ensemble",
"crossmodal",
"quantum_entangled",
"fractal_quantum",
"adaptive_hybrid",
]
self.current_mode = "weighted"
# Quantum state tracking for entanglement-aware processing
self.quantum_state_history = []
self.entanglement_threshold = 0.75
# Schrödinger equation parameters for quantum wave function evolution
self.hbar = 1.0 # Reduced Planck constant
self.m = 1.0 # Mass parameter
self.potential_function = lambda x: 0.5 * (
x**2
) # Harmonic oscillator potential
def integrate(self, input_data, mode=None):
"""Enhanced integration with multiple modes"""
if mode and mode in self.integration_modes:
self.current_mode = mode
classical_output = self.classical_model(input_data)
quantum_output = self.quantum_model.run([0.5] * self.quantum_model.num_qubits)
quantum_values = np.array(list(quantum_output.values()))
# Normalize quantum values
quantum_values = (
quantum_values / np.sum(quantum_values)
if np.sum(quantum_values) > 0
else quantum_values
)
fractal_output = self.fractal_model.process_data(input_data)
# Convert tensor to numpy if needed
if isinstance(classical_output, torch.Tensor):
classical_output = classical_output.detach().numpy()
# Handle different integration modes
if self.current_mode == "concatenate":
return self._concatenate_outputs(
classical_output, quantum_values, fractal_output
)
elif self.current_mode == "weighted":
return self._weighted_outputs(
classical_output, quantum_values, fractal_output
)
elif self.current_mode == "ensemble":
return self._ensemble_outputs(
classical_output, quantum_values, fractal_output, input_data
)
elif self.current_mode == "crossmodal":
return self._crossmodal_outputs(
classical_output, quantum_values, fractal_output
)
elif self.current_mode == "quantum_entangled":
return self._quantum_entangled_integration(
classical_output, quantum_values, fractal_output
)
elif self.current_mode == "fractal_quantum":
return self._fractal_quantum_integration(
classical_output, quantum_values, fractal_output
)
elif self.current_mode == "adaptive_hybrid":
return self._adaptive_hybrid_integration(
classical_output, quantum_values, fractal_output, input_data
)
def _concatenate_outputs(self, classical_output, quantum_output, fractal_output):
"""Simple concatenation of outputs"""
return np.concatenate((classical_output, quantum_output, fractal_output))
def _weighted_outputs(self, classical_output, quantum_output, fractal_output):
"""Weighted combination of outputs"""
# Resize arrays to same length if needed
max_len = max(len(classical_output), len(quantum_output), len(fractal_output))
c_out = self._resize_array(classical_output, max_len)
q_out = self._resize_array(quantum_output, max_len)
f_out = self._resize_array(fractal_output, max_len)
# Apply weights
return (
self.classical_weight * c_out
+ self.quantum_weight * q_out
+ self.fractal_weight * f_out
)
def _ensemble_outputs(
self, classical_output, quantum_output, fractal_output, original_input
):
"""Ensemble method that uses a meta-model to combine outputs"""
# This would typically use another model to combine the outputs
# Here we'll use a simple heuristic based on input characteristics
input_complexity = np.std(original_input)
if input_complexity > 1.0:
# Complex inputs favor fractal processing
self.fractal_weight = 0.5
self.quantum_weight = 0.3
self.classical_weight = 0.2
else:
# Simpler inputs favor classical processing
self.classical_weight = 0.5
self.quantum_weight = 0.3
self.fractal_weight = 0.2
return self._weighted_outputs(classical_output, quantum_output, fractal_output)
def _crossmodal_outputs(self, classical_output, quantum_output, fractal_output):
"""Cross-modal integration where each modality influences the others"""
# Resize arrays to same length
max_len = max(len(classical_output), len(quantum_output), len(fractal_output))
c_out = self._resize_array(classical_output, max_len)
q_out = self._resize_array(quantum_output, max_len)
f_out = self._resize_array(fractal_output, max_len)
# Create cross-modal effects
c_influenced = c_out * (1 + 0.2 * np.sin(q_out))
q_influenced = q_out * (1 + 0.2 * np.cos(f_out))
f_influenced = f_out * (1 + 0.2 * np.tan(np.clip(c_out, -1.5, 1.5)))
return (
self.classical_weight * c_influenced
+ self.quantum_weight * q_influenced
+ self.fractal_weight * f_influenced
)
def _resize_array(self, arr, target_len):
"""Utility to resize arrays to the same length for combination"""
if len(arr) == target_len:
return arr
result = np.zeros(target_len)
if len(arr) > target_len:
# Downsample
indices = np.round(np.linspace(0, len(arr) - 1, target_len)).astype(int)
result = arr[indices]
else:
# Upsample
result[: len(arr)] = arr
# Fill remaining with mean or extrapolate
if len(arr) > 0:
result[len(arr) :] = np.mean(arr)
return result
def set_weights(self, classical=None, quantum=None, fractal=None):
"""Update integration weights"""
if classical is not None:
self.classical_weight = classical
if quantum is not None:
self.quantum_weight = quantum
if fractal is not None:
self.fractal_weight = fractal
# Normalize weights to sum to 1
total = self.classical_weight + self.quantum_weight + self.fractal_weight
if total > 0:
self.classical_weight /= total
self.quantum_weight /= total
self.fractal_weight /= total
def _quantum_entangled_integration(
self, classical_output, quantum_output, fractal_output
):
"""Integration method that leverages quantum entanglement principles
to create correlated outputs across the different modalities.
"""
# Resize arrays to same length
max_len = max(len(classical_output), len(quantum_output), len(fractal_output))
c_out = self._resize_array(classical_output, max_len)
q_out = self._resize_array(quantum_output, max_len)
f_out = self._resize_array(fractal_output, max_len)
# Create entanglement matrix (correlation matrix with quantum properties)
entanglement_matrix = np.zeros((3, 3))
# Apply Bell state principles to correlation
entanglement_matrix[0, 1] = 0.7 # Classical-Quantum correlation
entanglement_matrix[0, 2] = 0.5 # Classical-Fractal correlation
entanglement_matrix[1, 2] = 0.8 # Quantum-Fractal correlation
# Make symmetric
entanglement_matrix[1, 0] = entanglement_matrix[0, 1]
entanglement_matrix[2, 0] = entanglement_matrix[0, 2]
entanglement_matrix[2, 1] = entanglement_matrix[1, 2]
# Set diagonal to 1 (self-correlation)
np.fill_diagonal(entanglement_matrix, 1.0)
# Store quantum state for future reference
self.quantum_state_history.append(q_out)
if len(self.quantum_state_history) > 10:
self.quantum_state_history.pop(0) # Keep only recent history
# Apply entanglement effects (similar to quantum teleportation concept)
entangled_output = np.zeros(max_len)
# Calculate phase angles between different modalities
phase_cq = np.angle(np.sum(np.exp(1j * np.pi * (c_out - q_out))))
phase_cf = np.angle(np.sum(np.exp(1j * np.pi * (c_out - f_out))))
phase_qf = np.angle(np.sum(np.exp(1j * np.pi * (q_out - f_out))))
# Apply quantum interference patterns
interference_pattern = (
np.cos(np.linspace(0, 2 * np.pi, max_len) + phase_cq)
+ np.cos(np.linspace(0, 2 * np.pi, max_len) + phase_cf)
+ np.cos(np.linspace(0, 2 * np.pi, max_len) + phase_qf)
)
# Create entangled state through weighted combination influenced by interference
entangled_output = (
self.classical_weight * c_out * (1 + 0.3 * interference_pattern)
+ self.quantum_weight * q_out * (1 + 0.3 * interference_pattern)
+ self.fractal_weight * f_out * (1 + 0.3 * interference_pattern)
)
# Apply non-local correlation effects (quantum inspired)
if np.random.random() < self.entanglement_threshold:
# With probability determined by threshold, introduce non-local effects
random_indices = np.random.choice(
max_len, size=int(max_len * 0.2), replace=False
)
entangled_output[random_indices] = -entangled_output[
random_indices
] # Phase flip
return entangled_output
def _fractal_quantum_integration(
self, classical_output, quantum_output, fractal_output
):
"""Integration method that combines fractal mathematics with quantum principles
to create a hybrid approach that leverages the strengths of both systems.
"""
# Resize arrays to same length
max_len = max(len(classical_output), len(quantum_output), len(fractal_output))
c_out = self._resize_array(classical_output, max_len)
q_out = self._resize_array(quantum_output, max_len)
f_out = self._resize_array(fractal_output, max_len)
# Apply Mandelbrot-inspired transformations to the quantum data
# Using z -> z² + c iteration principle from fractal mathematics
z = q_out
c = f_out * 0.5 # Scale down fractal values to prevent divergence
# Perform fractal iterations on quantum data
iterations = 3
for _ in range(iterations):
# Apply complex mapping (similar to Mandelbrot set calculations)
# Convert to complex numbers for fractal operations
z_complex = z.astype(complex)
c_complex = c.astype(complex)
# Apply non-linear transformation (z² + c)
z_complex = z_complex**2 + c_complex
# Extract real parts for further processing
z = np.real(z_complex)
# Apply quantum normalization after each iteration
# To keep values within reasonable bounds
z = np.tanh(z) # Bound values between -1 and 1
# Create Julia set-inspired patterns using quantum output as seed points
julia_pattern = np.zeros(max_len)
for i in range(max_len):
# Use classical output as parameters for Julia set escape-time algorithm
seed = complex(q_out[i], 0.1)
param = complex(c_out[i % len(c_out)], 0.1)
# Perform mini Julia set calculation
z_julia = seed
for j in range(10): # Small number of iterations for performance
z_julia = z_julia**2 + param
if abs(z_julia) > 2: # Escape condition
julia_pattern[i] = j / 10 # Normalized escape time
break
else:
julia_pattern[i] = 1.0 # Max value if no escape
# Combine the fractal-processed quantum data with classical and raw fractal outputs
# using quantum superposition principles (represented as weighted combination)
result = (
self.classical_weight * c_out
+ self.quantum_weight * np.cos(np.pi * z) # Quantum interference pattern
+ self.fractal_weight * julia_pattern # Fractal pattern
)
# Apply final quantum-inspired normalization
result = (
result / np.max(np.abs(result)) if np.max(np.abs(result)) > 0 else result
)
return result
def _adaptive_hybrid_integration(
self, classical_output, quantum_output, fractal_output, input_data
):
"""Advanced integration method that dynamically adapts its strategy based on
input characteristics, quantum state history, and model performance.
"""
# Resize arrays to same length
max_len = max(len(classical_output), len(quantum_output), len(fractal_output))
c_out = self._resize_array(classical_output, max_len)
q_out = self._resize_array(quantum_output, max_len)
f_out = self._resize_array(fractal_output, max_len)
# Analyze input complexity and quantum state coherence
input_complexity = np.std(input_data)
# Calculate quantum coherence from state history
quantum_coherence = 0.5 # Default value
if len(self.quantum_state_history) > 1:
# Calculate correlation between consecutive quantum states
correlations = []
for i in range(len(self.quantum_state_history) - 1):
state1 = self.quantum_state_history[i]
state2 = self.quantum_state_history[i + 1]
# Resize if necessary for correlation calculation
min_len = min(len(state1), len(state2))
corr = np.corrcoef(state1[:min_len], state2[:min_len])[0, 1]
correlations.append(corr)
quantum_coherence = np.abs(np.mean(correlations)) if correlations else 0.5
# Apply Schrödinger equation-inspired evolution to quantum output
# ψ(t) = e^(-iHt/ħ) ψ(0) approximation
time_step = 0.1
energy_factor = np.sum(q_out**2) / (2 * self.m) + np.sum(
self.potential_function(q_out)
)
phase = energy_factor * time_step / self.hbar
evolved_q_out = q_out * np.exp(1j * phase)
evolved_q_real = np.real(evolved_q_out)
# Adaptively set weights based on input complexity and quantum coherence
if input_complexity > 1.0 and quantum_coherence > 0.7:
# Complex inputs with high quantum coherence: favor quantum processing
self.classical_weight = 0.2
self.quantum_weight = 0.5
self.fractal_weight = 0.3
elif input_complexity > 1.0:
# Complex inputs with low quantum coherence: favor fractal processing
self.classical_weight = 0.2
self.quantum_weight = 0.3
self.fractal_weight = 0.5
elif quantum_coherence > 0.7:
# Simple inputs with high quantum coherence: balance quantum and classical
self.classical_weight = 0.4
self.quantum_weight = 0.4
self.fractal_weight = 0.2
else:
# Simple inputs with low quantum coherence: favor classical processing
self.classical_weight = 0.6
self.quantum_weight = 0.2
self.fractal_weight = 0.2
# Create adaptive integration based on all factors
hybrid_result = (
self.classical_weight * c_out
+ self.quantum_weight * evolved_q_real
+ self.fractal_weight * f_out
)
# Apply adaptive learning to update weights based on performance
# This would typically use some performance metric, but here we'll use a simple heuristic
# based on the variance of the result (assuming higher variance means better performance)
result_variance = np.var(hybrid_result)
if result_variance > 0.5:
# If result has high variance, slightly increase the weights that contributed most
max_contribution = max(
self.classical_weight * np.var(c_out),
self.quantum_weight * np.var(evolved_q_real),
self.fractal_weight * np.var(f_out),
)
if self.classical_weight * np.var(c_out) == max_contribution:
self.classical_weight += self.adaptive_lr
elif self.quantum_weight * np.var(evolved_q_real) == max_contribution:
self.quantum_weight += self.adaptive_lr
else:
self.fractal_weight += self.adaptive_lr
# Renormalize weights
total = self.classical_weight + self.quantum_weight + self.fractal_weight
self.classical_weight /= total
self.quantum_weight /= total
self.fractal_weight /= total
# Store the quantum state for future reference
self.quantum_state_history.append(q_out)
if len(self.quantum_state_history) > 10:
self.quantum_state_history.pop(0)
return hybrid_result