Language models IQ 3d

gistfile1.txt

//For Notebook/collab

#@title Your Title Here

import ipywidgets as widgets
from ipywidgets import VBox, Accordion
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
import matplotlib.pyplot as plt
import numpy as np

categories = {
    "Search Engines": (9, 2, 3),
    "Machine Learning-GPT4": (7, 4, 1),
    "Deep RL": (2, 7, 2.5),
    "Humans": (5, 9, 9),
    "Primates": (3, 6, 7),
    "Animals": (2, 4, 6),
    "Bees": (1, 2, 6),
    "Books": (6, 1, 1),
    "Programs": (2, 3, 3),
    "GPT-5+": (8.5, 9, 3),
    "Data-Star Trek": (9, 6, 7),
    "Vulcan-Star Trek": (8, 8, 7)
}

slider_dict = {}
category_sliders = []
for key, (x, y, z) in categories.items():
    x_slider = widgets.FloatSlider(value=x, min=1, max=10, description=f'{key} (X)')
    y_slider = widgets.FloatSlider(value=y, min=1, max=10, description=f'{key} (Y)')
    z_slider = widgets.FloatSlider(value=z, min=1, max=10, description=f'{key} (Z)')
    category_sliders.append(VBox([x_slider, y_slider, z_slider]))
    slider_dict[f'{key} (X)'] = x_slider
    slider_dict[f'{key} (Y)'] = y_slider
    slider_dict[f'{key} (Z)'] = z_slider

box_corners = [(6, 6), (10, 6), (10, 10), (6, 10)]
box_sliders = []
for i, (x, y) in enumerate(box_corners):
    x_slider = widgets.FloatSlider(value=x, min=1, max=10, description=f'Box Corner {i} (X)')
    y_slider = widgets.FloatSlider(value=y, min=1, max=10, description=f'Box Corner {i} (Y)')
    box_sliders.append(VBox([x_slider, y_slider]))
    slider_dict[f'Box Corner {i} (X)'] = x_slider
    slider_dict[f'Box Corner {i} (Y)'] = y_slider

accordion = Accordion(children=[*category_sliders, VBox(box_sliders)])
for i, key in enumerate(categories.keys()):
    accordion.set_title(i, key)
accordion.set_title(len(categories), 'AGI Box Corners')

def plot_3d(x_values, y_values, z_values, box_corners):
    plt.cla()
    plt.gcf().clear()
    fig = plt.figure(figsize=(12, 8))
    ax = fig.add_subplot(111, projection='3d')
    ax.scatter(x_values, y_values, z_values, s=100, c='blue')

    # Adding plumb lines
    for x, y, z in zip(x_values, y_values, z_values):
        ax.plot([x, x], [y, y], [0, z], c='gray', linestyle='--')

    poly3d = [[*corner, 6] for corner in box_corners] + [[*corner, 10] for corner in box_corners]
    faces = [poly3d[:4], poly3d[4:], [poly3d[0], poly3d[1], poly3d[5], poly3d[4]],
             [poly3d[1], poly3d[2], poly3d[6], poly3d[5]], [poly3d[2], poly3d[3], poly3d[7], poly3d[6]],
             [poly3d[3], poly3d[0], poly3d[4], poly3d[7]]]
    ax.add_collection3d(Poly3DCollection(faces, facecolors='red', linewidths=1, alpha=0.3))
    ax.set_xlabel('Declarative Knowledge')
    ax.set_ylabel('Dynamic Intelligence')
    ax.set_zlabel('Information Integration')
    ax.set_xticks(range(1, 11))
    ax.set_yticks(range(1, 10))
    ax.set_zticks(range(1, 10))

    for i, txt in enumerate(categories.keys()):
        ax.text(x_values[i], y_values[i], z_values[i], txt, fontsize=9)

    agi_x = sum(corner[0] for corner in box_corners) / 4
    agi_y = sum(corner[1] for corner in box_corners) / 4
    agi_z = (6 + 10) / 2
    ax.text(agi_x, agi_y, agi_z, "AGI", color='black', fontsize=12, ha='center')

    plt.show()

def update_plot(**kwargs):
    x_values = [kwargs[f'{key} (X)'] for key in categories.keys()]
    y_values = [kwargs[f'{key} (Y)'] for key in categories.keys()]
    z_values = [kwargs[f'{key} (Z)'] for key in categories.keys()]
    box_corners = [[kwargs[f'Box Corner {i} (X)'], kwargs[f'Box Corner {i} (Y)']] for i in range(4)]
    plot_3d(x_values, y_values, z_values, box_corners)

interactive_plot = widgets.interactive_output(update_plot, slider_dict)
display(VBox([accordion, interactive_plot]))