From 50b6fbdc2715f42b55446f3bed87d3497a09e7b3 Mon Sep 17 00:00:00 2001 From: Alex Linhares Date: Sun, 1 Feb 2026 20:58:15 +0000 Subject: [PATCH] Add slipnet analysis: depth vs topology correlation study Analysis shows no significant correlation between conceptual depth and hop distance to letter nodes (r=0.281, p=0.113). Includes Python scripts, visualizations, and LaTeX paper. Co-Authored-By: Claude Opus 4.5 --- .claude/settings.local.json | 23 + slipnet_analysis/compute_letter_paths.py | 157 ++ slipnet_analysis/compute_stats.py | 85 + .../depth_distance_correlation.png | Bin 0 -> 130504 bytes slipnet_analysis/depth_hops_correlation.png | Bin 0 -> 153389 bytes slipnet_analysis/edge_types.md | 162 ++ slipnet_analysis/export_slipnet.py | 334 +++ .../plot_depth_distance_correlation.py | 108 + slipnet_analysis/slipnet.json | 2167 +++++++++++++++++ slipnet_analysis/slipnet_depth_analysis.aux | 46 + slipnet_analysis/slipnet_depth_analysis.log | 719 ++++++ slipnet_analysis/slipnet_depth_analysis.out | 26 + slipnet_analysis/slipnet_depth_analysis.pdf | Bin 0 -> 353154 bytes slipnet_analysis/slipnet_depth_analysis.tex | 382 +++ 14 files changed, 4209 insertions(+) create mode 100644 .claude/settings.local.json create mode 100644 slipnet_analysis/compute_letter_paths.py create mode 100644 slipnet_analysis/compute_stats.py create mode 100644 slipnet_analysis/depth_distance_correlation.png create mode 100644 slipnet_analysis/depth_hops_correlation.png create mode 100644 slipnet_analysis/edge_types.md create mode 100644 slipnet_analysis/export_slipnet.py create mode 100644 slipnet_analysis/plot_depth_distance_correlation.py create mode 100644 slipnet_analysis/slipnet.json create mode 100644 slipnet_analysis/slipnet_depth_analysis.aux create mode 100644 slipnet_analysis/slipnet_depth_analysis.log create mode 100644 slipnet_analysis/slipnet_depth_analysis.out create mode 100644 slipnet_analysis/slipnet_depth_analysis.pdf create mode 100644 slipnet_analysis/slipnet_depth_analysis.tex diff --git a/.claude/settings.local.json b/.claude/settings.local.json new file mode 100644 index 0000000..cbf0eca --- /dev/null +++ b/.claude/settings.local.json @@ -0,0 +1,23 @@ +{ + "permissions": { + "allow": [ + "Bash(git push:*)", + "Bash(/c/Users/alexa/anaconda3/python.exe export_slipnet.py:*)", + "Bash(C:\\\\Users\\\\alexa\\\\anaconda3\\\\python.exe:*)", + "Bash(/c/Users/alexa/anaconda3/python.exe compute_letter_paths.py)", + "Bash(/c/Users/alexa/anaconda3/python.exe:*)", + "WebFetch(domain:github.com)", + "WebFetch(domain:raw.githubusercontent.com)", + "Bash(dir \"C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis\" /b)", + "Bash(C:Usersalexaanaconda3python.exe plot_depth_distance_correlation.py)", + "Bash(powershell.exe -Command \"cd ''C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis''; & ''C:\\\\Users\\\\alexa\\\\anaconda3\\\\python.exe'' compute_stats.py\")", + "Bash(powershell.exe -Command \"cd ''C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis''; & ''C:\\\\Users\\\\alexa\\\\anaconda3\\\\python.exe'' plot_depth_distance_correlation.py\")", + "Bash(powershell.exe -Command \"cd ''C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis''; pdflatex -interaction=nonstopmode slipnet_depth_analysis.tex 2>&1 | Select-Object -Last 30\")", + "Bash(powershell.exe -Command \"cd ''C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis''; pdflatex -interaction=nonstopmode slipnet_depth_analysis.tex 2>&1 | Select-Object -Last 10\")", + "Bash(powershell.exe -Command \"cd ''C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis''; pdflatex -interaction=nonstopmode slipnet_depth_analysis.tex 2>&1 | Select-Object -Last 5\")", + "Bash(powershell.exe -Command \"Get-ChildItem ''C:\\\\Users\\\\alexa\\\\copycat\\\\slipnet_analysis'' | Select-Object Name, Length, LastWriteTime | Format-Table -AutoSize\")", + "Bash(powershell.exe:*)", + "Bash(git add:*)" + ] + } +} diff --git a/slipnet_analysis/compute_letter_paths.py b/slipnet_analysis/compute_letter_paths.py new file mode 100644 index 0000000..56bf638 --- /dev/null +++ b/slipnet_analysis/compute_letter_paths.py @@ -0,0 +1,157 @@ +""" +Compute minimum hops from each node to the nearest letter node (a-z) in the slipnet. +Like Erdos number, but starting from letter nodes. +Adds 'minPathToLetter' field to each node in the JSON. +""" + +import json +import networkx as nx + +def load_slipnet(filepath): + with open(filepath, 'r') as f: + return json.load(f) + +def save_slipnet(data, filepath): + with open(filepath, 'w') as f: + json.dump(data, f, indent=2) + +def build_graph(data): + """Build an undirected unweighted NetworkX graph from slipnet JSON.""" + G = nx.Graph() # Undirected graph - edges work both ways + + # Add all nodes + for node in data['nodes']: + G.add_node(node['name']) + + # Add edges (unweighted - each edge counts as 1 hop) + for link in data['links']: + G.add_edge(link['source'], link['destination']) + + return G + +def get_letter_nodes(): + """Return set of letter nodes (a-z).""" + return set(chr(i) for i in range(ord('a'), ord('z') + 1)) + +def compute_min_hops_to_letters(G, letter_nodes): + """ + Compute minimum hops from each node to the nearest letter node. + Like Erdos number but for letters. + Returns dict: node_name -> {hops, path, nearest_letter} + """ + results = {} + + # For each node, find shortest path (by hop count) to any letter + for node in G.nodes(): + if node in letter_nodes: + # Letters have 0 hops to themselves + results[node] = { + 'hops': 0, + 'path': [node], + 'nearestLetter': node + } + else: + min_hops = float('inf') + min_path = None + nearest_letter = None + + for letter in letter_nodes: + try: + # Find shortest path by hop count (no weight parameter) + path = nx.shortest_path(G, source=node, target=letter) + hops = len(path) - 1 # Number of edges = nodes - 1 + if hops < min_hops: + min_hops = hops + min_path = path + nearest_letter = letter + except nx.NetworkXNoPath: + continue + + if min_path is not None: + results[node] = { + 'hops': min_hops, + 'path': min_path, + 'nearestLetter': nearest_letter + } + else: + results[node] = { + 'hops': None, + 'path': None, + 'nearestLetter': None + } + + return results + +def main(): + filepath = r'C:\Users\alexa\copycat\slipnet_analysis\slipnet.json' + + # Load the slipnet + data = load_slipnet(filepath) + print(f"Loaded slipnet with {data['nodeCount']} nodes and {data['linkCount']} links") + + # Build the graph + G = build_graph(data) + print(f"Built graph with {G.number_of_nodes()} nodes and {G.number_of_edges()} edges") + + # Get letter nodes + letter_nodes = get_letter_nodes() + print(f"Letter nodes: {sorted(letter_nodes)}") + + # Compute minimum hops to letters + path_results = compute_min_hops_to_letters(G, letter_nodes) + + # Find max hops among reachable nodes + max_hops = max(r['hops'] for r in path_results.values() if r['hops'] is not None) + unreachable_hops = 2 * max_hops + print(f"Max hops among reachable nodes: {max_hops}") + print(f"Assigning unreachable nodes hops = 2 * {max_hops} = {unreachable_hops}") + + # Assign unreachable nodes hops = 2 * max_hops + for node_name, result in path_results.items(): + if result['hops'] is None: + result['hops'] = unreachable_hops + result['path'] = None # No path exists + result['nearestLetter'] = None + + # Add results to each node in the JSON + for node in data['nodes']: + node_name = node['name'] + if node_name in path_results: + result = path_results[node_name] + node['minPathToLetter'] = { + 'hops': result['hops'], + 'path': result['path'], + 'nearestLetter': result['nearestLetter'] + } + + # Save the updated JSON + save_slipnet(data, filepath) + print(f"\nUpdated slipnet saved to {filepath}") + + # Print summary sorted by hops + print("\n=== Summary of minimum hops to letter nodes (Erdos-style) ===") + reachable_nodes = [(n['name'], n['minPathToLetter']) for n in data['nodes'] + if 'minPathToLetter' in n and n['minPathToLetter']['path'] is not None + and n['minPathToLetter']['hops'] > 0] + unreachable_nodes = [(n['name'], n['minPathToLetter']) for n in data['nodes'] + if 'minPathToLetter' in n and n['minPathToLetter']['path'] is None + and n['minPathToLetter']['hops'] > 0] + + # Sort by hops, then by name + reachable_nodes.sort(key=lambda x: (x[1]['hops'], x[0])) + unreachable_nodes.sort(key=lambda x: x[0]) + + print(f"\n{'Node':<30} {'Hops':<6} {'Nearest':<8} {'Path'}") + print("-" * 80) + + for name, info in reachable_nodes: + path_str = ' -> '.join(info['path']) + print(f"{name:<30} {info['hops']:<6} {info['nearestLetter']:<8} {path_str}") + + if unreachable_nodes: + print(f"\nUnreachable nodes (assigned hops = {unreachable_hops}):") + for name, info in unreachable_nodes: + print(f" {name:<30} (depth: {[n['conceptualDepth'] for n in data['nodes'] if n['name'] == name][0]})") + +if __name__ == '__main__': + main() diff --git a/slipnet_analysis/compute_stats.py b/slipnet_analysis/compute_stats.py new file mode 100644 index 0000000..80ce308 --- /dev/null +++ b/slipnet_analysis/compute_stats.py @@ -0,0 +1,85 @@ +"""Compute correlation statistics for the paper (hop-based).""" + +import json +import numpy as np +from scipy import stats + +def main(): + with open(r'C:\Users\alexa\copycat\slipnet_analysis\slipnet.json', 'r') as f: + data = json.load(f) + + # Extract data points (excluding letter nodes themselves) + names = [] + depths = [] + hops = [] + is_unreachable = [] + + for node in data['nodes']: + name = node['name'] + depth = node['conceptualDepth'] + path_info = node.get('minPathToLetter', {}) + hop_count = path_info.get('hops') + nearest = path_info.get('nearestLetter') + + # Skip letter nodes (hops 0) + if hop_count is not None and hop_count > 0: + names.append(name) + depths.append(depth) + hops.append(hop_count) + is_unreachable.append(nearest is None) + + # Convert to numpy arrays + depths = np.array(depths) + hops = np.array(hops) + + # Compute correlation + correlation, p_value = stats.pearsonr(depths, hops) + spearman_corr, spearman_p = stats.spearmanr(depths, hops) + + # Linear regression + z = np.polyfit(depths, hops, 1) + + # R-squared + y_pred = np.polyval(z, depths) + ss_res = np.sum((hops - y_pred) ** 2) + ss_tot = np.sum((hops - np.mean(hops)) ** 2) + r_squared = 1 - (ss_res / ss_tot) + + num_unreachable = sum(is_unreachable) + print(f"Number of nodes analyzed: {len(names)}") + print(f"Total nodes: {data['nodeCount']}") + print(f"Letter nodes (excluded): 26") + print(f"Unreachable nodes (hops = 2*max): {num_unreachable}") + print() + print(f"Pearson correlation: r = {correlation:.4f}") + print(f"Pearson p-value: p = {p_value:.6f}") + print(f"Spearman correlation: rho = {spearman_corr:.4f}") + print(f"Spearman p-value: p = {spearman_p:.6f}") + print(f"R-squared: {r_squared:.4f}") + print(f"Linear regression: hops = {z[0]:.4f} * depth + {z[1]:.4f}") + print() + print(f"Depth range: {min(depths):.1f} - {max(depths):.1f}") + print(f"Hops range: {min(hops)} - {max(hops)}") + print(f"Mean depth: {np.mean(depths):.2f}") + print(f"Mean hops: {np.mean(hops):.2f}") + print(f"Std depth: {np.std(depths):.2f}") + print(f"Std hops: {np.std(hops):.2f}") + print() + + # Distribution of hops + print("Distribution of hops:") + for h in sorted(set(hops)): + count = sum(1 for x in hops if x == h) + nodes_at_h = [n for n, hp in zip(names, hops) if hp == h] + print(f" {h} hops: {count} nodes") + + print() + print("Data points (sorted by hops, then depth):") + print(f"{'Node':<30} {'Depth':<10} {'Hops':<10} {'Reachable':<10}") + print("-" * 60) + for name, depth, hop, unreachable in sorted(zip(names, depths, hops, is_unreachable), key=lambda x: (x[2], x[1])): + status = "No" if unreachable else "Yes" + print(f"{name:<30} {depth:<10.1f} {hop:<10} {status:<10}") + +if __name__ == '__main__': + main() diff --git a/slipnet_analysis/depth_distance_correlation.png b/slipnet_analysis/depth_distance_correlation.png new file mode 100644 index 0000000000000000000000000000000000000000..de99547492a4491ee0529140cc4a24e030d4c70b GIT binary patch literal 130504 zcmdqJc{G>p+dg_rrGZE)Luek5sZbJ{ODUNmGb!^tWL82lRR~E$L}q24GZiAUkTE3l zJhP9x@4MgM?_F#Ev)9^t?X`C6d3v5zAD?@;&g(pn^Ei(4@{qcDg=P!$7J?vXu3fz- zO%NN}31WTnrj7WMZi}ZA_>Zu~B?Su^5B^8toUA{`Rk6&FPWELh_Uas$GpE+~&aK!k*iH^tS5=QzSF?5g3f<0I#<*$U 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z${Jir*ApRxnDCBq>+rPBw6!f_T&KTV?#*;jZ{>MSS5i~6i6^3iUIy$xA1%W5#>U-z zOBsP+nGgX4gWlcs$n7yLDxM~zfr(-vZIKWsK%}$sMMQ;)PBxfyU%B7194YvIv@L1u z>>Tfun-Q*eB3uh$-h`5%k_VRdLD};Nn~@m$Fvon4D#}^J<~~O_Lpen{lh9&MGAy++ zs~3?c58JmbJK-R|ZyCq9zSYj$`Z 0: + names.append(name) + depths.append(depth) + hops.append(hop_count) + # Unreachable nodes have no nearestLetter + is_unreachable.append(nearest is None) + + # Convert to numpy arrays + depths = np.array(depths) + hops = np.array(hops) + is_unreachable = np.array(is_unreachable) + + # Compute correlation + correlation, p_value = stats.pearsonr(depths, hops) + spearman_corr, spearman_p = stats.spearmanr(depths, hops) + + # Create the plot + fig, ax = plt.subplots(figsize=(10, 8)) + + # Scatter plot with jitter for overlapping points + jitter = np.random.normal(0, 0.08, len(hops)) + + # Plot reachable nodes in blue + reachable_mask = ~is_unreachable + ax.scatter(depths[reachable_mask], hops[reachable_mask] + jitter[reachable_mask], + alpha=0.7, s=100, c='steelblue', edgecolors='navy', label='Reachable') + + # Plot unreachable nodes in red + if np.any(is_unreachable): + ax.scatter(depths[is_unreachable], hops[is_unreachable] + jitter[is_unreachable], + alpha=0.7, s=100, c='crimson', edgecolors='darkred', label='Unreachable (2×max)') + + # Add labels to each point + for i, name in enumerate(names): + ax.annotate(name, (depths[i], hops[i] + jitter[i]), fontsize=8, alpha=0.8, + xytext=(5, 5), textcoords='offset points') + + # Add trend line + z = np.polyfit(depths, hops, 1) + p = np.poly1d(z) + x_line = np.linspace(min(depths), max(depths), 100) + ax.plot(x_line, p(x_line), "r--", alpha=0.8, label=f'Linear fit (y = {z[0]:.3f}x + {z[1]:.2f})') + + # Labels and title + ax.set_xlabel('Conceptual Depth', fontsize=12) + ax.set_ylabel('Minimum Hops to Letter Node (Erdos-style)', fontsize=12) + ax.set_title('Correlation: Conceptual Depth vs Hops to Nearest Letter\n' + f'Pearson r = {correlation:.3f} (p = {p_value:.4f}), ' + f'Spearman rho = {spearman_corr:.3f} (p = {spearman_p:.4f})', + fontsize=11) + + ax.legend(loc='upper left') + ax.grid(True, alpha=0.3) + max_hops = int(max(hops)) + ax.set_yticks(range(1, max_hops + 1)) + ax.set_ylim(0.5, max_hops + 0.5) + + # Print statistics + print(f"Number of nodes with paths (excluding letters): {len(names)}") + print(f"\nPearson correlation: r = {correlation:.4f}, p-value = {p_value:.6f}") + print(f"Spearman correlation: rho = {spearman_corr:.4f}, p-value = {spearman_p:.6f}") + print(f"\nLinear regression: hops = {z[0]:.4f} * depth + {z[1]:.4f}") + + print("\nData points:") + print(f"{'Node':<30} {'Depth':<10} {'Hops':<10}") + print("-" * 50) + for name, depth, hop in sorted(zip(names, depths, hops), key=lambda x: (x[2], x[1])): + print(f"{name:<30} {depth:<10.1f} {hop:<10}") + + plt.tight_layout() + plt.savefig(r'C:\Users\alexa\copycat\slipnet_analysis\depth_hops_correlation.png', dpi=150) + print(f"\nPlot saved to: C:\\Users\\alexa\\copycat\\slipnet_analysis\\depth_hops_correlation.png") + +if __name__ == '__main__': + main() diff --git a/slipnet_analysis/slipnet.json b/slipnet_analysis/slipnet.json new file mode 100644 index 0000000..b37f582 --- /dev/null +++ b/slipnet_analysis/slipnet.json @@ -0,0 +1,2167 @@ +{ + "description": "Copycat Slipnet - A semantic network for analogical reasoning", + "nodeCount": 59, + "linkCount": 202, + "initiallyClampedNodes": [ + "letterCategory", + "stringPositionCategory" + ], + "nodes": [ + { + "name": "a", + "conceptualDepth": 10.0, + "intrinsicLinkLength": 0, + "shrunkLinkLength": 0.0, + "minPathToLetter": { + "hops": 0, + "path": [ + "a" + ], + "nearestLetter": "a" + } + }, + { + "name": "b", + "conceptualDepth": 10.0, + "intrinsicLinkLength": 0, + "shrunkLinkLength": 0.0, + "minPathToLetter": { + "hops": 0, + "path": [ + "b" + ], + "nearestLetter": "b" + } + }, + { + "name": "c", + "conceptualDepth": 10.0, + "intrinsicLinkLength": 0, + "shrunkLinkLength": 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