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The snow fell gently in the small town, blanketing the cobblestone streets in a hushed, ethereal white. In the midst of this serene landscape, a tiny figure trudged through the cold, his tattered shoes leaving mismatched prints in the snow. This was a boy, no more than seven years old, carrying the world on his slender shoulders. His name was Jack, but most in the town knew him simply as âthe Kid.â
Jack had no family to speak of, no home to return to. His refuge was a crooked little shack on the outskirts of town, a place barely fit for habitation. But to Jack, it was home, and his companion in this precarious world was a man everyone called âthe Tramp.â The Tramp, dressed in his trademark oversized coat and bowler hat, was a man of infinite resourcefulness and eternal optimism, his eyes twinkling with mischief even in the face of despair. Together, they formed an unlikely duoâan itinerant pair surviving on wit, ingenuity, and a touch of magic.
One day, as the Tramp and the Kid wandered the bustling streets in search of workâor a mealâtheir attention was drawn to a commotion in a nearby alley. A group of boys had formed a loose circle, jeering and cheering as a fight unfolded at its center. The Trampâs curiosity got the better of him, and he steered the Kid toward the fray.
At the heart of the scuffle was a boy not much older than Jack, swinging wildly at a larger opponent. It was clear the smaller boy had spirit but little strategy, his punches landing more on air than flesh. The bigger boy smirked, toying with his opponent as though the outcome were already decided. The Trampâs keen eye assessed the scene in seconds, and a sly smile spread across his face.
âWhat do you think, Kid?â he asked, crouching down to Jackâs level. âFancy a turn in the ring?â
The Kid looked up, wide-eyed but resolute. âDo I have to?â
âNot if you donât want to,â the Tramp replied, ruffling his hair. âBut Iâll be right here if you do.â
Before Jack could respond, the smaller boyâs resolve crumbled, and he fled the circle, leaving the bully triumphant and hungry for a new challenger. The Tramp nudged Jack forward with an encouraging nod, stepping into the ring as his unlikely second.
âLadies and gentlemen,â the Tramp announced grandly, addressing the crowd with a theatrical flourish. âIn this corner, we have the challengerâthe Kid, the scrappiest fighter in town!â
The crowd roared with laughter as Jack stepped forward, his fists clenched and his face set in determination. The bully sneered, towering over him, but the Tramp was already at work, slipping around the circle like a magician preparing his act.
âAnd in this corner,â the Tramp continued, âthe reigning champion, a brute so fearsome even his mother wonât cheer for him!â
The crowdâs laughter turned to cheers as the makeshift referee signaled the fight to begin. The Kid darted forward, nimble and quick, landing a jab to the bullyâs midsection before retreating. The Tramp clapped enthusiastically from the sidelines, offering tips and encouragement.
âKeep moving, Kid!â he called. âAnd remember, itâs not the size of the dog in the fightâitâs the size of the fight in the dog!â
The bully charged, his fists swinging wildly, but the Kidâs agility kept him out of harmâs way. With each missed punch, the Tramp added to the spectacle, tripping the bully subtly with his cane or tossing small objects to create distractions. The crowd, initially there for the fight, now stayed for the comedy, their laughter echoing through the alley.
Finally, with one well-placed shove from the Trampâs cane, the bully stumbled and fell into a puddle, drenched and defeated. The Kid raised his fists in triumph, his face glowing with pride, as the crowd erupted in applause. The Tramp stepped into the ring, lifting Jack onto his shoulders like a victorious prizefighter.
âAnd the winner is⊠the Kid!â he declared, tipping his hat to the crowd.
As they left the alley, the Tramp leaned down to whisper to Jack. âYou did good, Kid. Remember, sometimes itâs not about winning the fightâitâs about making them laugh.â
Jack grinned, clutching the Trampâs hand as they walked off into the snowy streets, their bond stronger than ever. Behind them, the crowd began to disperse, their spirits lifted by a fight theyâd never forget.
Show code cell source
import numpy as np
import matplotlib.pyplot as plt
import networkx as nx
# Define the neural network structure; modified to align with "Aprés Moi, Le Déluge" (i.e. Je suis AlexNet)
def define_layers():
return {
'Pre-Input/CudAlexnet': ['Birds, Song & Life', 'Materials on Earth', 'Particles & Cosmos', 'Harmonic Series', 'Equal Temperament', 'Cadences & Patterns'],
'Yellowstone/SensoryAI': ['Instinct, Speculation'],
'Input/AgenticAI': ['Surprise & Resolution', 'Genre & Expectation'],
'Hidden/GenerativeAI': ['Individual Melody', 'Rhythm & Pocket', 'Chords, One Accord'],
'Output/PhysicalAI': ['Solo Performance', 'Theme & Variation', 'Maestro or Conductor', 'Call & Answer', 'Military Cadence']
}
# Assign colors to nodes
def assign_colors(node, layer):
if node == 'Instinct, Speculation':
return 'yellow'
if layer == 'Pre-Input/CudAlexnet' and node in [ 'Cadences & Patterns']:
return 'paleturquoise'
if layer == 'Pre-Input/CudAlexnet' and node in [ 'Equal Temperament']:
return 'lightgreen'
elif layer == 'Input/AgenticAI' and node == 'Genre & Expectation':
return 'paleturquoise'
elif layer == 'Hidden/GenerativeAI':
if node == 'Chords, One Accord':
return 'paleturquoise'
elif node == 'Rhythm & Pocket':
return 'lightgreen'
elif node == 'Individual Melody':
return 'lightsalmon'
elif layer == 'Output/PhysicalAI':
if node == 'Military Cadence':
return 'paleturquoise'
elif node in ['Call & Answer', 'Maestro or Conductor', 'Theme & Variation']:
return 'lightgreen'
elif node == 'Solo Performance':
return 'lightsalmon'
return 'lightsalmon' # Default color
# Calculate positions for nodes
def calculate_positions(layer, center_x, offset):
layer_size = len(layer)
start_y = -(layer_size - 1) / 2 # Center the layer vertically
return [(center_x + offset, start_y + i) for i in range(layer_size)]
# Create and visualize the neural network graph
def visualize_nn():
layers = define_layers()
G = nx.DiGraph()
pos = {}
node_colors = []
center_x = 0 # Align nodes horizontally
# Add nodes and assign positions
for i, (layer_name, nodes) in enumerate(layers.items()):
y_positions = calculate_positions(nodes, center_x, offset=-len(layers) + i + 1)
for node, position in zip(nodes, y_positions):
G.add_node(node, layer=layer_name)
pos[node] = position
node_colors.append(assign_colors(node, layer_name))
# Add edges (without weights)
for layer_pair in [
('Pre-Input/CudAlexnet', 'Yellowstone/SensoryAI'), ('Yellowstone/SensoryAI', 'Input/AgenticAI'), ('Input/AgenticAI', 'Hidden/GenerativeAI'), ('Hidden/GenerativeAI', 'Output/PhysicalAI')
]:
source_layer, target_layer = layer_pair
for source in layers[source_layer]:
for target in layers[target_layer]:
G.add_edge(source, target)
# Draw the graph
plt.figure(figsize=(12, 8))
nx.draw(
G, pos, with_labels=True, node_color=node_colors, edge_color='gray',
node_size=3000, font_size=10, connectionstyle="arc3,rad=0.1"
)
plt.title("Equal Temperament via Simulation with 808", fontsize=15)
plt.show()
# Run the visualization
visualize_nn()
Show code cell source
# Create an overlayed Venn diagram for the three compression nodes of the hidden layer
from matplotlib_venn import venn3
# Define the compression nodes and their relationships
venn_labels = {
'100': 'Sympathetic Only',
'010': 'G3 Only',
'001': 'Parasympathetic Only',
'110': 'Sympathetic & G3',
'101': 'Sympathetic & Parasympathetic',
'011': 'G3 & Parasympathetic',
'111': 'All Three'
}
# Create the Venn diagram
plt.figure(figsize=(8, 8))
venn = venn3(subsets=(1, 1, 1, 1, 1, 1, 1), set_labels=('Sympathetic', 'G3', 'Parasympathetic'))
# Overlay labels for clarity
for subset, label in venn_labels.items():
venn.get_label_by_id(subset).set_text(label)
# Style the Venn diagram
venn.get_patch_by_id('100').set_color('lightsalmon')
venn.get_patch_by_id('010').set_color('lightgreen')
venn.get_patch_by_id('001').set_color('paleturquoise')
venn.get_patch_by_id('111').set_color('gold')
venn.get_patch_by_id('111').set_alpha(0.5)
plt.title("Identity: Variance & Static", fontsize=10)
plt.show()