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//! Surprise-weighted context triage.
//!
//! AXIOM's TTT inner loop computes a per-chunk gradient on the fast weights
//! during ingestion. The norm of that update, `||ΔW̃||`, is a direct,
//! model-relative measure of how much *new information* a chunk carried — the
//! model's own learning *is* the relevance metric.
//!
//! This module turns that signal into an adaptive compression-budget
//! allocator:
//!
//! - [`SurpriseTriage`] tracks a running distribution of per-chunk update
//! norms with Welford's online algorithm (with a short warmup to discount
//! cold-start inflation, when fast weights are unadapted and every chunk
//! looks surprising).
//! - [`SurpriseTriage::score_chunk`] maps a chunk's norm to a percentile
//! in `[0, 1]` via a normal CDF of the z-score.
//! - [`SurpriseTriage::budget_for`] maps the percentile to a
//! [`CompressionLevel`]: high-surprise chunks are preserved verbatim or
//! lightly skeletonized, low-surprise chunks are compressed aggressively.
//! The total token budget stays fixed; only the *allocation* is adaptive.
//!
//! Integration points:
//! - [`SurpriseTriage::observe_tensors`] computes `||Δ||` from pre/post
//! fast-weight snapshots around a TTT adaptation window (see
//! `context_compressor::adapt_session_with_triage`).
//! - [`SurpriseTriage::triage_compress`] is the "before compressing a chunk,
//! compute its surprise score and select compression level" entry point.
//! - `digest::SkeletonDigestor::digest_with_triage` exposes the same hook at
//! the digest layer.
use candle_core::{Result as CResult, Tensor};
/// How aggressively a chunk should be compressed, chosen by its surprise
/// percentile.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum CompressionLevel {
/// `p >= 0.90`: the chunk taught the model a lot — keep it verbatim.
Verbatim,
/// `0.50 <= p < 0.90`: normal structural skeleton within budget.
Skeleton,
/// `p < 0.50`: the chunk carried little new signal — aggressive digest.
Digest,
}
/// Percentile cutoffs for [`CompressionLevel`] selection.
pub const VERBATIM_PERCENTILE: f32 = 0.90;
pub const SKELETON_PERCENTILE: f32 = 0.50;
/// Default number of warmup observations before percentiles are trusted.
/// Cold-start fast weights produce inflated norms; scoring is neutral (0.5)
/// until the running distribution has seen this many chunks.
pub const DEFAULT_WARMUP: u64 = 8;
/// Minimum token budget for the aggressive [`CompressionLevel::Digest`] tier,
/// so tiny base budgets still produce a non-empty digest.
pub const MIN_DIGEST_TOKENS: usize = 32;
/// Adaptive compression-budget allocator driven by TTT update norms.
///
/// Tracks the running mean/variance of per-chunk `||ΔW̃||` with Welford's
/// algorithm and converts each new norm into a session-relative percentile.
#[derive(Debug, Clone)]
pub struct SurpriseTriage {
count: u64,
mean: f64,
m2: f64,
warmup: u64,
}
impl SurpriseTriage {
/// Create a triage with a custom warmup length.
pub fn new(warmup: u64) -> Self {
Self {
count: 0,
mean: 0.0,
m2: 0.0,
warmup,
}
}
/// Number of norms observed so far.
pub fn count(&self) -> u64 {
self.count
}
/// Current running mean of observed norms (`None` before any observation).
pub fn mean(&self) -> Option<f64> {
(self.count > 0).then_some(self.mean)
}
/// Current running variance of observed norms (`None` with < 2 samples).
pub fn variance(&self) -> Option<f64> {
(self.count > 1).then_some(self.m2 / (self.count - 1) as f64)
}
/// Feed one per-chunk update norm into the running distribution.
/// Non-finite or negative norms are ignored (they carry no signal).
pub fn observe(&mut self, norm: f32) {
if !norm.is_finite() || norm < 0.0 {
return;
}
let x = norm as f64;
self.count += 1;
let delta = x - self.mean;
self.mean += delta / self.count as f64;
let delta2 = x - self.mean;
self.m2 += delta * delta2;
}
/// Compute the total fast-weight update norm `||Δ||` across layers from
/// pre/post adaptation snapshots, feed it to the running distribution,
/// and return it.
///
/// `before`/`after` are parallel slices of per-layer `W̃` tensors;
/// the norm is `sqrt(Σ_layers ||after - before||_F²)`.
pub fn observe_tensors(&mut self, before: &[Tensor], after: &[Tensor]) -> CResult<f32> {
let mut sum_sq = 0.0f32;
for (b, a) in before.iter().zip(after.iter()) {
let diff = a.sub(b)?;
let sq: f32 = diff.sqr()?.sum_all()?.to_scalar::<f32>()?;
sum_sq += sq;
}
let norm = sum_sq.sqrt();
self.observe(norm);
Ok(norm)
}
/// Map a chunk's update norm to a percentile in `[0, 1]`.
///
/// Uses the normal CDF of the z-score against the running distribution,
/// so the score is session-relative: the same chunk scores differently
/// depending on what the session already learned. Returns `0.5`
/// (neutral) during warmup or when the variance is degenerate.
pub fn score_chunk(&self, norm: f32) -> f32 {
if self.count < self.warmup {
return 0.5;
}
let var = match self.variance() {
Some(v) if v > 0.0 => v,
_ => return 0.5,
};
let std = var.sqrt();
let z = (norm as f64 - self.mean) / std;
normal_cdf(z as f32).clamp(0.0, 1.0)
}
/// Select a [`CompressionLevel`] and token budget for a chunk, given its
/// update norm and the session's base budget.
///
/// The percentile comes from [`SurpriseTriage::score_chunk`]; the total
/// budget is unchanged in expectation — only its allocation adapts.
pub fn budget_for(&self, norm: f32, base_budget_tokens: usize) -> (CompressionLevel, usize) {
let p = self.score_chunk(norm);
if p >= VERBATIM_PERCENTILE {
(CompressionLevel::Verbatim, usize::MAX)
} else if p >= SKELETON_PERCENTILE {
(CompressionLevel::Skeleton, base_budget_tokens)
} else {
(
CompressionLevel::Digest,
(base_budget_tokens / 4).max(MIN_DIGEST_TOKENS),
)
}
}
/// End-to-end triage entry point: observe `update_norm`, score the chunk,
/// pick a compression level, and compress `text` accordingly.
///
/// - [`CompressionLevel::Verbatim`]: text returned unchanged.
/// - [`CompressionLevel::Skeleton`]: PageRank-ranked skeleton within
/// `base_budget_tokens`.
/// - [`CompressionLevel::Digest`]: aggressive short digest (quarter
/// budget, floored at [`MIN_DIGEST_TOKENS`]).
///
/// Returns the compressed text and the level that was chosen.
pub fn triage_compress(
&mut self,
text: &str,
base_budget_tokens: usize,
update_norm: f32,
lang: &str,
) -> (String, CompressionLevel) {
self.observe(update_norm);
let (level, budget) = self.budget_for(update_norm, base_budget_tokens);
let out = match level {
CompressionLevel::Verbatim => text.to_string(),
CompressionLevel::Skeleton => {
let ranked =
crate::skeleton::skeletonize_ranked(text, lang, Some(budget));
if ranked.trim().is_empty() {
aggressive_truncate(text, budget)
} else {
ranked
}
}
CompressionLevel::Digest => aggressive_truncate(text, budget),
};
(out, level)
}
}
impl Default for SurpriseTriage {
fn default() -> Self {
Self::new(DEFAULT_WARMUP)
}
}
/// Standard normal CDF via the Abramowitz–Stegun erf approximation
/// (max error ~1.5e-7 — plenty for a percentile heuristic).
fn normal_cdf(z: f32) -> f32 {
// Φ(z) = 0.5 * (1 + erf(z / √2))
let x = z / std::f32::consts::SQRT_2;
0.5 * (1.0 + erf_approx(x))
}
fn erf_approx(x: f32) -> f32 {
// Abramowitz & Stegun 7.1.26
let a1 = 0.2548296f32;
let a2 = -0.2844967f32;
let a3 = 1.4214137f32;
let a4 = -1.453152f32;
let a5 = 1.0614054f32;
let p = 0.3275911f32;
let sign = if x < 0.0 { -1.0 } else { 1.0 };
let x = x.abs();
let t = 1.0 / (1.0 + p * x);
let y = 1.0 - (((((a5 * t + a4) * t) + a3) * t + a2) * t + a1) * t * (-x * x).exp();
sign * y
}
/// Hard word-count truncation used by the aggressive digest tier.
fn aggressive_truncate(text: &str, budget_tokens: usize) -> String {
let words: Vec<&str> = text.split_whitespace().collect();
if words.len() <= budget_tokens {
return text.to_string();
}
let mut out = words[..budget_tokens].join(" ");
out.push_str(" …");
out
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn welford_converges_to_known_mean_and_variance() {
// Population: 2, 4, 4, 4, 5, 5, 7, 9 → mean 5,
// sample variance Σ(x−mean)²/(n−1) = 32/7.
let mut t = SurpriseTriage::new(0);
for x in [2.0, 4.0, 4.0, 4.0, 5.0, 5.0, 7.0, 9.0] {
t.observe(x);
}
assert_eq!(t.count(), 8);
assert!((t.mean().unwrap() - 5.0).abs() < 1e-9);
assert!((t.variance().unwrap() - 32.0 / 7.0).abs() < 1e-9);
}
#[test]
fn observe_ignores_non_finite_and_negative_norms() {
let mut t = SurpriseTriage::new(0);
t.observe(f32::NAN);
t.observe(f32::INFINITY);
t.observe(-1.0);
assert_eq!(t.count(), 0);
t.observe(1.0);
assert_eq!(t.count(), 1);
}
#[test]
fn score_is_neutral_during_warmup() {
let mut t = SurpriseTriage::new(8);
for _ in 0..7 {
t.observe(1.0);
}
assert_eq!(t.score_chunk(1000.0), 0.5);
assert_eq!(t.score_chunk(0.0), 0.5);
}
#[test]
fn score_is_neutral_with_degenerate_variance() {
// All identical norms → zero variance → neutral score.
let mut t = SurpriseTriage::new(0);
for _ in 0..10 {
t.observe(3.0);
}
assert_eq!(t.score_chunk(3.0), 0.5);
assert_eq!(t.score_chunk(99.0), 0.5);
}
#[test]
fn high_norm_scores_above_low_norm() {
let mut t = SurpriseTriage::new(0);
// Bimodal-ish spread so z-scores separate clearly.
for _ in 0..20 {
t.observe(1.0);
}
for _ in 0..20 {
t.observe(10.0);
}
let low = t.score_chunk(1.0);
let high = t.score_chunk(10.0);
assert!(high > low, "high={high} low={low}");
assert!(high > 0.5);
assert!(low < 0.5);
}
/// Feed a tight cluster around 5.0 so extreme norms map to extreme
/// percentiles (|z| >> 1.28 for the 0.90 cutoff).
fn tight_triage() -> SurpriseTriage {
let mut t = SurpriseTriage::new(0);
for i in 0..100 {
t.observe(if i % 2 == 0 { 4.0 } else { 6.0 });
}
t
}
#[test]
fn budget_for_maps_percentiles_to_levels() {
let t = tight_triage();
// Very high norm → z ≈ +94 → percentile ≈ 1.0 → Verbatim.
let (level, budget) = t.budget_for(100.0, 400);
assert_eq!(level, CompressionLevel::Verbatim);
assert_eq!(budget, usize::MAX);
// Very low norm → z ≈ −5 → percentile ≈ 0 → aggressive digest.
let (level, budget) = t.budget_for(0.001, 400);
assert_eq!(level, CompressionLevel::Digest);
assert_eq!(budget, 100);
}
#[test]
fn budget_for_skeleton_tier_uses_base_budget() {
let mut t = SurpriseTriage::new(0);
for _ in 0..100 {
t.observe(5.0);
}
// A norm near the mean scores ~0.5 → Skeleton tier.
let (level, budget) = t.budget_for(5.0, 400);
assert_eq!(level, CompressionLevel::Skeleton);
assert_eq!(budget, 400);
}
#[test]
fn digest_budget_floored_at_minimum() {
let t = tight_triage();
let (level, budget) = t.budget_for(0.001, 40);
assert_eq!(level, CompressionLevel::Digest);
assert_eq!(budget, MIN_DIGEST_TOKENS);
}
#[test]
fn triage_compress_verbatim_returns_text_unchanged() {
let mut t = SurpriseTriage::new(0);
for _ in 0..50 {
t.observe(1.0);
}
let text = "pub fn hello() -> i32 { 42 }";
let (out, level) = t.triage_compress(text, 100, 100.0, "rust");
assert_eq!(level, CompressionLevel::Verbatim);
assert_eq!(out, text);
}
#[test]
fn triage_compress_digest_is_shorter_than_skeleton() {
let mut t = SurpriseTriage::new(0);
for _ in 0..50 {
t.observe(100.0);
}
// Long prose: low-surprise norm → Digest tier (quarter budget).
let text = "lorem ipsum dolor sit amet ".repeat(200);
let (digest_out, digest_level) = t.triage_compress(&text, 400, 0.001, "");
assert_eq!(digest_level, CompressionLevel::Digest);
// Digest budget = 100 tokens → output well under the 400-token budget.
assert!(digest_out.split_whitespace().count() <= 101);
assert!(digest_out.len() < text.len());
}
#[test]
fn triage_compress_observes_norm_into_distribution() {
let mut t = SurpriseTriage::new(0);
assert_eq!(t.count(), 0);
let _ = t.triage_compress("hello world", 100, 2.5, "");
assert_eq!(t.count(), 1);
assert!((t.mean().unwrap() - 2.5).abs() < 1e-6);
}
#[test]
fn normal_cdf_sanity() {
assert!((normal_cdf(0.0) - 0.5).abs() < 1e-5);
assert!(normal_cdf(3.0) > 0.998);
assert!(normal_cdf(-3.0) < 0.002);
assert!(normal_cdf(10.0) <= 1.0);
assert!(normal_cdf(-10.0) >= 0.0);
}
}