consciousness/src/graph.rs

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// Graph algorithms: clustering coefficient, community detection (label
// propagation), schema fit scoring, small-world metrics, consolidation
// priority scoring.
//
// The Graph is built from the Store's nodes + relations. Edges are
// undirected for clustering/community (even causal edges count as
// connections), but relation type and direction are preserved for
// specific queries.
use crate::capnp_store::{Store, RelationType, StoreView};
use serde::{Deserialize, Serialize};
use std::collections::{HashMap, HashSet, VecDeque};
/// Weighted edge in the graph
#[derive(Clone, Debug)]
pub struct Edge {
pub target: String,
pub strength: f32,
pub rel_type: RelationType,
}
/// The in-memory graph built from store nodes + relations
pub struct Graph {
/// Adjacency list: node key → list of edges
adj: HashMap<String, Vec<Edge>>,
/// All node keys
keys: HashSet<String>,
/// Community labels (from label propagation)
communities: HashMap<String, u32>,
}
impl Graph {
pub fn nodes(&self) -> &HashSet<String> {
&self.keys
}
pub fn degree(&self, key: &str) -> usize {
self.adj.get(key).map(|e| e.len()).unwrap_or(0)
}
pub fn edge_count(&self) -> usize {
self.adj.values().map(|e| e.len()).sum::<usize>() / 2
}
/// All edges for a node (full Edge data including rel_type)
pub fn edges_of(&self, key: &str) -> &[Edge] {
self.adj.get(key)
.map(|v| v.as_slice())
.unwrap_or(&[])
}
/// All neighbor keys with strengths
pub fn neighbors(&self, key: &str) -> Vec<(&String, f32)> {
self.adj.get(key)
.map(|edges| edges.iter().map(|e| (&e.target, e.strength)).collect())
.unwrap_or_default()
}
/// Just neighbor keys
pub fn neighbor_keys(&self, key: &str) -> HashSet<&str> {
self.adj.get(key)
.map(|edges| edges.iter().map(|e| e.target.as_str()).collect())
.unwrap_or_default()
}
pub fn community_count(&self) -> usize {
let labels: HashSet<_> = self.communities.values().collect();
labels.len()
}
pub fn communities(&self) -> &HashMap<String, u32> {
&self.communities
}
/// Hub degree threshold: top 5% by degree
pub fn hub_threshold(&self) -> usize {
let mut degrees: Vec<usize> = self.keys.iter()
.map(|k| self.degree(k))
.collect();
degrees.sort_unstable();
if degrees.len() >= 20 {
degrees[degrees.len() * 95 / 100]
} else {
usize::MAX
}
}
/// Local clustering coefficient: fraction of a node's neighbors
/// that are also neighbors of each other.
/// cc(v) = 2E / (deg * (deg - 1))
pub fn clustering_coefficient(&self, key: &str) -> f32 {
let neighbors = self.neighbor_keys(key);
let deg = neighbors.len();
if deg < 2 {
return 0.0;
}
let neighbor_vec: Vec<&str> = neighbors.iter().copied().collect();
let mut triangles = 0u32;
for i in 0..neighbor_vec.len() {
for j in (i + 1)..neighbor_vec.len() {
let ni_neighbors = self.neighbor_keys(neighbor_vec[i]);
if ni_neighbors.contains(neighbor_vec[j]) {
triangles += 1;
}
}
}
(2.0 * triangles as f32) / (deg as f32 * (deg as f32 - 1.0))
}
/// Average clustering coefficient across all nodes with deg >= 2
pub fn avg_clustering_coefficient(&self) -> f32 {
let mut sum = 0.0f32;
let mut count = 0u32;
for key in &self.keys {
if self.degree(key) >= 2 {
sum += self.clustering_coefficient(key);
count += 1;
}
}
if count == 0 { 0.0 } else { sum / count as f32 }
}
/// Average shortest path length (sampled BFS from up to 100 nodes)
pub fn avg_path_length(&self) -> f32 {
let sample: Vec<&String> = self.keys.iter().take(100).collect();
if sample.is_empty() { return 0.0; }
let mut total_dist = 0u64;
let mut total_pairs = 0u64;
for &start in &sample {
let dists = self.bfs_distances(start);
for d in dists.values() {
if *d > 0 {
total_dist += *d as u64;
total_pairs += 1;
}
}
}
if total_pairs == 0 { 0.0 } else { total_dist as f32 / total_pairs as f32 }
}
fn bfs_distances(&self, start: &str) -> HashMap<String, u32> {
let mut dist = HashMap::new();
let mut queue = VecDeque::new();
dist.insert(start.to_string(), 0u32);
queue.push_back(start.to_string());
while let Some(node) = queue.pop_front() {
let d = dist[&node];
for neighbor in self.neighbor_keys(&node) {
if !dist.contains_key(neighbor) {
dist.insert(neighbor.to_string(), d + 1);
queue.push_back(neighbor.to_string());
}
}
}
dist
}
/// Power-law exponent α of the degree distribution.
///
/// Estimated via MLE: α = 1 + n / Σ ln(k_i / (k_min - 0.5))
/// α ≈ 2: extreme hub dominance (fragile)
/// α ≈ 3: healthy scale-free
/// α > 3: approaching random graph (egalitarian)
pub fn degree_power_law_exponent(&self) -> f32 {
let mut degrees: Vec<usize> = self.keys.iter()
.map(|k| self.degree(k))
.filter(|&d| d > 0) // exclude isolates
.collect();
if degrees.len() < 10 { return 0.0; } // not enough data
degrees.sort_unstable();
let k_min = degrees[0] as f64;
if k_min < 1.0 { return 0.0; }
let n = degrees.len() as f64;
let sum_ln: f64 = degrees.iter()
.map(|&k| (k as f64 / (k_min - 0.5)).ln())
.sum();
if sum_ln <= 0.0 { return 0.0; }
(1.0 + n / sum_ln) as f32
}
/// Gini coefficient of the degree distribution.
///
/// 0 = perfectly egalitarian (all nodes same degree)
/// 1 = maximally unequal (one node has all edges)
/// Measures hub concentration independent of distribution shape.
pub fn degree_gini(&self) -> f32 {
let mut degrees: Vec<f64> = self.keys.iter()
.map(|k| self.degree(k) as f64)
.collect();
let n = degrees.len();
if n < 2 { return 0.0; }
degrees.sort_by(|a, b| a.total_cmp(b));
let mean = degrees.iter().sum::<f64>() / n as f64;
if mean < 1e-10 { return 0.0; }
// Gini = (2 Σ i·x_i) / (n Σ x_i) - (n+1)/n
let weighted_sum: f64 = degrees.iter().enumerate()
.map(|(i, &d)| (i as f64 + 1.0) * d)
.sum();
let total = degrees.iter().sum::<f64>();
let gini = (2.0 * weighted_sum) / (n as f64 * total) - (n as f64 + 1.0) / n as f64;
gini.max(0.0) as f32
}
/// Small-world coefficient σ = (C/C_rand) / (L/L_rand)
/// C_rand ≈ <k>/n, L_rand ≈ ln(n)/ln(<k>)
pub fn small_world_sigma(&self) -> f32 {
let n = self.keys.len() as f32;
if n < 10.0 { return 0.0; }
let avg_degree = self.adj.values()
.map(|e| e.len() as f32)
.sum::<f32>() / n;
if avg_degree < 1.0 { return 0.0; }
let c = self.avg_clustering_coefficient();
let l = self.avg_path_length();
let c_rand = avg_degree / n;
let l_rand = n.ln() / avg_degree.ln();
if c_rand < 1e-10 || l_rand < 1e-10 || l < 1e-10 {
return 0.0;
}
(c / c_rand) / (l / l_rand)
}
}
/// Impact of adding a hypothetical edge
#[derive(Debug)]
pub struct LinkImpact {
pub source: String,
pub target: String,
pub source_deg: usize,
pub target_deg: usize,
/// Is this a hub link? (either endpoint in top 5% by degree)
pub is_hub_link: bool,
/// Are both endpoints in the same community?
pub same_community: bool,
/// Change in clustering coefficient for source
pub delta_cc_source: f32,
/// Change in clustering coefficient for target
pub delta_cc_target: f32,
/// Change in degree Gini (positive = more hub-dominated)
pub delta_gini: f32,
/// Qualitative assessment
pub assessment: &'static str,
}
impl Graph {
/// Simulate adding an edge and report impact on topology metrics.
///
/// Doesn't modify the graph — computes what would change if the
/// edge were added.
pub fn link_impact(&self, source: &str, target: &str) -> LinkImpact {
let source_deg = self.degree(source);
let target_deg = self.degree(target);
let hub_threshold = self.hub_threshold();
let is_hub_link = source_deg >= hub_threshold || target_deg >= hub_threshold;
// Community check
let sc = self.communities.get(source);
let tc = self.communities.get(target);
let same_community = match (sc, tc) {
(Some(a), Some(b)) => a == b,
_ => false,
};
// CC change for source: adding target as neighbor changes the
// triangle count. New triangles form for each node that's a
// neighbor of BOTH source and target.
let source_neighbors = self.neighbor_keys(source);
let target_neighbors = self.neighbor_keys(target);
let shared_neighbors = source_neighbors.intersection(&target_neighbors).count();
let cc_before_source = self.clustering_coefficient(source);
let cc_before_target = self.clustering_coefficient(target);
// Estimate new CC for source after adding edge
let new_source_deg = source_deg + 1;
let new_source_triangles = if source_deg >= 2 {
// Current triangles + new ones from shared neighbors
let current_triangles = (cc_before_source
* source_deg as f32 * (source_deg as f32 - 1.0) / 2.0) as u32;
current_triangles + shared_neighbors as u32
} else {
shared_neighbors as u32
};
let cc_after_source = if new_source_deg >= 2 {
(2.0 * new_source_triangles as f32)
/ (new_source_deg as f32 * (new_source_deg as f32 - 1.0))
} else {
0.0
};
let new_target_deg = target_deg + 1;
let new_target_triangles = if target_deg >= 2 {
let current_triangles = (cc_before_target
* target_deg as f32 * (target_deg as f32 - 1.0) / 2.0) as u32;
current_triangles + shared_neighbors as u32
} else {
shared_neighbors as u32
};
let cc_after_target = if new_target_deg >= 2 {
(2.0 * new_target_triangles as f32)
/ (new_target_deg as f32 * (new_target_deg as f32 - 1.0))
} else {
0.0
};
// Gini change via influence function:
// IF(x; Gini, F) = (2F(x) - 1) * x/μ - Gini - 1
// Adding an edge increments two degrees. The net ΔGini is the sum
// of influence contributions from both endpoints shifting up by 1.
let gini_before = self.degree_gini();
let n = self.keys.len();
let total_degree: f64 = self.keys.iter()
.map(|k| self.degree(k) as f64)
.sum();
let mean_deg = if n > 0 { total_degree / n as f64 } else { 1.0 };
// CDF at each endpoint's degree: fraction of nodes with degree ≤ d
let delta_gini = if mean_deg > 1e-10 && n >= 2 {
// Count nodes with degree ≤ source_deg and ≤ target_deg
let f_source = self.keys.iter()
.filter(|k| self.degree(k) <= source_deg)
.count() as f64 / n as f64;
let f_target = self.keys.iter()
.filter(|k| self.degree(k) <= target_deg)
.count() as f64 / n as f64;
// Influence of incrementing source's degree by 1
let new_source = (source_deg + 1) as f64;
let if_source = (2.0 * f_source - 1.0) * new_source / mean_deg
- gini_before as f64 - 1.0;
// Influence of incrementing target's degree by 1
let new_target = (target_deg + 1) as f64;
let if_target = (2.0 * f_target - 1.0) * new_target / mean_deg
- gini_before as f64 - 1.0;
// Scale: each point contributes 1/n to the distribution
((if_source + if_target) / n as f64) as f32
} else {
0.0f32
};
// Qualitative assessment
let assessment = if is_hub_link && same_community {
"hub-reinforcing: strengthens existing star topology"
} else if is_hub_link && !same_community {
"hub-bridging: cross-community but through a hub"
} else if !is_hub_link && same_community && shared_neighbors > 0 {
"lateral-clustering: strengthens local mesh topology"
} else if !is_hub_link && !same_community {
"lateral-bridging: best kind — cross-community lateral link"
} else if !is_hub_link && same_community {
"lateral-local: connects peripheral nodes in same community"
} else {
"neutral"
};
LinkImpact {
source: source.to_string(),
target: target.to_string(),
source_deg,
target_deg,
is_hub_link,
same_community,
delta_cc_source: cc_after_source - cc_before_source,
delta_cc_target: cc_after_target - cc_before_target,
delta_gini,
assessment,
}
}
}
/// Build graph from store data (with community detection)
pub fn build_graph(store: &impl StoreView) -> Graph {
let (adj, keys) = build_adjacency(store);
let communities = label_propagation(&keys, &adj, 20);
Graph { adj, keys, communities }
}
/// Build graph without community detection — for spreading activation
/// searches where we only need the adjacency list.
pub fn build_graph_fast(store: &impl StoreView) -> Graph {
let (adj, keys) = build_adjacency(store);
Graph { adj, keys, communities: HashMap::new() }
}
fn build_adjacency(store: &impl StoreView) -> (HashMap<String, Vec<Edge>>, HashSet<String>) {
let mut adj: HashMap<String, Vec<Edge>> = HashMap::new();
let mut keys: HashSet<String> = HashSet::new();
store.for_each_node(|key, _, _| {
keys.insert(key.to_owned());
});
store.for_each_relation(|source_key, target_key, strength, rel_type| {
if !keys.contains(source_key) || !keys.contains(target_key) {
return;
}
adj.entry(source_key.to_owned()).or_default().push(Edge {
target: target_key.to_owned(),
strength,
rel_type,
});
adj.entry(target_key.to_owned()).or_default().push(Edge {
target: source_key.to_owned(),
strength,
rel_type,
});
});
(adj, keys)
}
/// Label propagation community detection.
///
/// Each node starts with its own label. Each iteration: adopt the most
/// common label among neighbors (weighted by edge strength). Iterate
/// until stable or max_iterations.
fn label_propagation(
keys: &HashSet<String>,
adj: &HashMap<String, Vec<Edge>>,
max_iterations: u32,
) -> HashMap<String, u32> {
// Only consider edges above this strength for community votes.
// Weak auto-links from triangle closure (0.15-0.35) bridge
// unrelated clusters — filtering them lets natural communities emerge.
let min_strength: f32 = 0.3;
// Initialize: each node gets its own label
let key_vec: Vec<String> = keys.iter().cloned().collect();
let mut labels: HashMap<String, u32> = key_vec.iter()
.enumerate()
.map(|(i, k)| (k.clone(), i as u32))
.collect();
for _iter in 0..max_iterations {
let mut changed = false;
for key in &key_vec {
let edges = match adj.get(key) {
Some(e) => e,
None => continue,
};
if edges.is_empty() { continue; }
// Count weighted votes for each label (skip weak edges)
let mut votes: HashMap<u32, f32> = HashMap::new();
for edge in edges {
if edge.strength < min_strength { continue; }
if let Some(&label) = labels.get(&edge.target) {
*votes.entry(label).or_default() += edge.strength;
}
}
// Adopt the label with most votes
if let Some((&best_label, _)) = votes.iter()
.max_by(|a, b| a.1.total_cmp(b.1))
{
let current = labels[key];
if best_label != current {
labels.insert(key.clone(), best_label);
changed = true;
}
}
}
if !changed { break; }
}
// Compact labels to 0..n
let mut label_map: HashMap<u32, u32> = HashMap::new();
let mut next_id = 0;
for label in labels.values_mut() {
let new_label = *label_map.entry(*label).or_insert_with(|| {
let id = next_id;
next_id += 1;
id
});
*label = new_label;
}
labels
}
/// A snapshot of graph topology metrics, for tracking evolution over time
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct MetricsSnapshot {
pub timestamp: f64,
pub date: String,
pub nodes: usize,
pub edges: usize,
pub communities: usize,
pub sigma: f32,
pub alpha: f32,
pub gini: f32,
pub avg_cc: f32,
pub avg_path_length: f32,
// Removed: avg_schema_fit was identical to avg_cc.
// Old snapshots with the field still deserialize (serde ignores unknown fields by default).
}
fn metrics_log_path() -> std::path::PathBuf {
let home = std::env::var("HOME").unwrap_or_default();
std::path::PathBuf::from(home).join(".claude/memory/metrics.jsonl")
}
/// Load previous metrics snapshots
pub fn load_metrics_history() -> Vec<MetricsSnapshot> {
let path = metrics_log_path();
let content = match std::fs::read_to_string(&path) {
Ok(c) => c,
Err(_) => return Vec::new(),
};
content.lines()
.filter_map(|line| serde_json::from_str(line).ok())
.collect()
}
/// Append a metrics snapshot to the log
pub fn save_metrics_snapshot(snap: &MetricsSnapshot) {
let path = metrics_log_path();
if let Ok(json) = serde_json::to_string(snap) {
use std::io::Write;
if let Ok(mut f) = std::fs::OpenOptions::new()
.create(true).append(true).open(&path)
{
let _ = writeln!(f, "{}", json);
}
}
}
/// Health report: summary of graph metrics
pub fn health_report(graph: &Graph, store: &Store) -> String {
let n = graph.nodes().len();
let e = graph.edge_count();
let avg_cc = graph.avg_clustering_coefficient();
let avg_pl = graph.avg_path_length();
let sigma = graph.small_world_sigma();
let communities = graph.community_count();
// Community sizes
let mut comm_sizes: HashMap<u32, usize> = HashMap::new();
for label in graph.communities().values() {
*comm_sizes.entry(*label).or_default() += 1;
}
let mut sizes: Vec<usize> = comm_sizes.values().copied().collect();
sizes.sort_unstable_by(|a, b| b.cmp(a));
// Degree distribution
let mut degrees: Vec<usize> = graph.nodes().iter()
.map(|k| graph.degree(k))
.collect();
degrees.sort_unstable();
let max_deg = degrees.last().copied().unwrap_or(0);
let median_deg = if degrees.is_empty() { 0 } else { degrees[degrees.len() / 2] };
let avg_deg = if n == 0 { 0.0 } else {
degrees.iter().sum::<usize>() as f64 / n as f64
};
// Topology metrics
let alpha = graph.degree_power_law_exponent();
let gini = graph.degree_gini();
// Low-CC nodes: poorly integrated
let low_cc = graph.nodes().iter()
.filter(|k| graph.clustering_coefficient(k) < 0.1)
.count();
// Category breakdown
let cats = store.category_counts();
// Snapshot current metrics and log
let now = crate::capnp_store::now_epoch();
let date = crate::capnp_store::format_datetime_space(now);
let snap = MetricsSnapshot {
timestamp: now,
date: date.clone(),
nodes: n, edges: e, communities,
sigma, alpha, gini, avg_cc,
avg_path_length: avg_pl,
};
save_metrics_snapshot(&snap);
// Load history for deltas
let history = load_metrics_history();
let prev = if history.len() >= 2 {
Some(&history[history.len() - 2]) // second-to-last (last is the one we just wrote)
} else {
None
};
fn delta(current: f32, prev: Option<f32>) -> String {
match prev {
Some(p) => {
let d = current - p;
if d.abs() < 0.001 { String::new() }
else { format!("{:+.3})", d) }
}
None => String::new(),
}
}
let sigma_d = delta(sigma, prev.map(|p| p.sigma));
let alpha_d = delta(alpha, prev.map(|p| p.alpha));
let gini_d = delta(gini, prev.map(|p| p.gini));
let cc_d = delta(avg_cc, prev.map(|p| p.avg_cc));
let mut report = format!(
"Memory Health Report
====================
Nodes: {n} Relations: {e} Communities: {communities}
Degree: max={max_deg} median={median_deg} avg={avg_deg:.1}
Clustering coefficient (avg): {avg_cc:.4}{cc_d} low-CC (<0.1): {low_cc} nodes
Average path length: {avg_pl:.2}
Small-world σ: {sigma:.3}{sigma_d} (>1 = small-world)
Power-law α: {alpha:.2}{alpha_d} (2=hub-dominated, 3=healthy, >3=egalitarian)
Degree Gini: {gini:.3}{gini_d} (0=equal, 1=one-hub)
Community sizes (top 5): {top5}
Categories: core={core} tech={tech} gen={gen} obs={obs} task={task}",
top5 = sizes.iter().take(5)
.map(|s| s.to_string())
.collect::<Vec<_>>()
.join(", "),
core = cats.get("core").unwrap_or(&0),
tech = cats.get("tech").unwrap_or(&0),
gen = cats.get("gen").unwrap_or(&0),
obs = cats.get("obs").unwrap_or(&0),
task = cats.get("task").unwrap_or(&0),
);
// Show history trend if we have enough data points
if history.len() >= 3 {
report.push_str("\n\nMetrics history (last 5):\n");
for snap in &history[history.len().saturating_sub(5)..] {
report.push_str(&format!(" {}σ={:.1} α={:.2} gini={:.3} cc={:.4}\n",
snap.date, snap.sigma, snap.alpha, snap.gini, snap.avg_cc));
}
}
report
}