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change.py β 'Did something actually change?' engine for normal people.
Same Clutch + MagnitudeGate as the compute demo, pointed at a human question:
is this series just its usual wobble, or did something really shift, and when?
Loop (identical structure to the drift substrate):
cheap = extrapolate the cached linear model of your recent numbers
costly = refit that model on the last `window` points
error = |prediction - today's number| / typical wobble
A gate trip == the model of "normal" broke == a real change. Trips close together
are merged into one EVENT with a plain-language before/after summary.
Honesty rules: warm-up trips are ignored, pure noise must yield "no change",
slow steady trends are reported as trends (they never break a linear model, and
saying otherwise would be lying).
"""
import re
import numpy as np
from clutch import Clutch, MagnitudeGate
# ------------------------------------------------------------------ input
def parse_numbers(text=None, file_obj=None):
raw = ""
if file_obj is not None:
path = file_obj if isinstance(file_obj, str) else getattr(file_obj, "name", None)
if path:
with open(path, "r", errors="ignore") as f:
raw = f.read()
elif text:
raw = text
if not raw.strip():
return None, "No numbers yet β paste some, or pick an example above."
rows = []
for line in raw.strip().splitlines():
nums = re.findall(r"[-+]?\d*[\.,]?\d+(?:[eE][-+]?\d+)?", line.replace(",", "."))
if nums:
rows.append([float(x) for x in nums])
if not rows:
return None, "I couldn't find any numbers in that."
ncol = max(len(r) for r in rows)
if ncol == 1:
y = np.array([r[0] for r in rows if len(r) == 1], float)
else:
y = np.array([r[-1] for r in rows if len(r) == ncol], float)
y = y[np.isfinite(y)]
if len(y) < 14:
return None, f"Only {len(y)} values β I need at least 14 to tell change from noise."
return y, None
# ------------------------------------------------------------------ core
def _wobble(y):
"""Typical day-to-day wobble: robust std (MAD) of first differences."""
d = np.diff(y)
mad = np.median(np.abs(d - np.median(d)))
return float(1.4826 * mad + 1e-9)
class _Model:
def __init__(self, y, window, scale):
self.y, self.window, self.scale = y, window, scale
self.t = 0
self.a, self.b, self.origin = 0.0, float(y[0]), 0
self.last_resid = 1.0
def predict(self, t):
return self.a * (t - self.origin) + self.b
def cheap(self, _):
return self.predict(self.t)
def costly(self, _):
lo = max(0, self.t - self.window)
xs = np.arange(lo, self.t + 1)
ys = self.y[lo:self.t + 1]
if len(xs) >= 2:
a, b = np.polyfit(xs - lo, ys, 1)
self.a, self.b, self.origin = float(a), float(b), lo
insample = float(np.mean(np.abs(np.polyval([self.a, self.b], xs - lo) - ys))) if len(xs) else 0.0
return self.predict(self.t), (insample / self.scale) < 1.2
def err(self, _):
return self.last_resid
def detect(y, sensitivity=1.0, sigma_mode="iid"):
"""Run the clutch over y. Returns dict with trips, events, checks, window, scale."""
n = len(y)
window = int(np.clip(n // 10, 7, 30))
scale = _wobble(y) # day-to-day wobble (for the human text)
# iid: noise around a trend -> one-step noise is wobble/sqrt(2)
# walk: random-walk-like (stock prices) -> the daily move IS the innovation
sigma = scale / np.sqrt(2.0) if sigma_mode == "iid" else scale
# sensitivity 0.5 (paranoid) .. 2.0 (relaxed): scales the trip threshold
gate = MagnitudeGate(gain=2.0, leak=1.8, trip=8.0 * sensitivity)
clutch = Clutch(gate)
m = _Model(y, window, sigma)
trips, checks = [], 0
for t in range(n):
m.t = t
before = clutch.stats.expensive_calls
pred, _mode = clutch.step(None, m.cheap, m.costly, m.err)
if clutch.stats.expensive_calls > before:
checks += 1
if t > window: # ignore warm-up
trips.append(t)
m.last_resid = abs(pred - y[t]) / sigma
# merge trips within `window` of each other into events
events = []
for t in trips:
if events and t - events[-1][-1] <= window:
events[-1].append(t)
else:
events.append([t])
out_events = []
for grp in events:
at0 = grp[0]
last = min(grp[-1], at0 + 3 * window)
lo = max(0, at0 - 2 * window)
hi = min(n, last + 1 + window)
# refine: best single step position within the local window
best_c, best_sse = None, np.inf
for c in range(lo + 3, hi - 2):
l, r = y[lo:c], y[c:hi]
sse = ((l - l.mean()) ** 2).sum() + ((r - r.mean()) ** 2).sum()
if sse < best_sse:
best_sse, best_c = sse, c
cp = best_c if best_c is not None else at0
before_mean = float(np.mean(y[lo:cp]))
after_mean = float(np.mean(y[cp:hi]))
shift = after_mean - before_mean
kind = "shift" if abs(shift) >= 2.0 * sigma else "blip"
out_events.append(dict(at=cp, span=(grp[0], last), before=before_mean,
after=after_mean, shift=shift, kind=kind))
# overall slow trend (fits the whole series; never trips the gate, honestly reported)
xs = np.arange(n)
slope = float(np.polyfit(xs, y, 1)[0])
trend_total = slope * n
trendy = abs(trend_total) > 3.0 * scale and not any(e["kind"] == "shift" for e in out_events)
return dict(events=out_events, trips=trips, checks=checks, window=window,
scale=scale, slope=slope, trend_total=trend_total, trendy=trendy, n=n)
# ------------------------------------------------------------------ language
def verdict_text(y, res, unit="", period="day"):
u = f" {unit}" if unit else ""
n, scale = res["n"], res["scale"]
shifts = [e for e in res["events"] if e["kind"] == "shift"]
blips = [e for e in res["events"] if e["kind"] == "blip"]
lines = []
if not shifts and not res["trendy"]:
lines.append(f"## π Just noise β nothing actually changed")
lines.append(f"Across all **{n} {period}s**, your numbers stayed inside their normal "
f"wobble of about **Β±{scale:.2g}{u}** per {period}. "
f"Ups and downs smaller than that are not signal β reacting to them is "
f"reacting to dice rolls.")
if blips:
days = ", ".join(f"{period} {e['at']}" for e in blips)
lines.append(f"There were brief odd readings around **{days}**, but the numbers "
f"came straight back β one-off blips, not a real change.")
elif res["trendy"]:
direction = "upward" if res["slope"] > 0 else "downward"
lines.append(f"## π No sudden change β but a steady {direction} drift")
lines.append(f"Nothing jumped, but over the whole {n} {period}s your numbers drifted "
f"**{res['trend_total']:+.3g}{u}** in total (about {res['slope']:+.3g}{u} "
f"per {period}). Day-to-day comparisons will feel like noise (wobble "
f"Β±{scale:.2g}{u}); the drift only shows over weeks. That slow kind of "
f"change is exactly what people miss.")
else:
lines.append(f"## π Yes β something really changed")
for e in shifts:
direction = "up" if e["shift"] > 0 else "down"
times = abs(e["shift"]) / scale
lines.append(f"- Around **{period} {e['at']}**, your typical level moved "
f"**{direction} from {e['before']:.3g}{u} to {e['after']:.3g}{u}** "
f"({e['shift']:+.3g}{u} β about {times:.0f}Γ your normal {period}-to-"
f"{period} wobble). That is a real shift, not luck.")
if blips:
lines.append(f"- ({len(blips)} brief blip(s) also detected that reversed on their "
f"own β those you can ignore.)")
saved = (1 - res["checks"] / n) * 100
lines.append("")
lines.append(f"**Your attention, saved:** instead of judging every single {period} "
f"({n} looks), checking on the **{res['checks']} {period}s flagged above** "
f"would have caught everything that mattered β **{saved:.0f}% fewer looks, "
f"zero missed changes** on this data.")
lines.append("")
lines.append(f"<small>How it works: a tiny model keeps predicting your next number from "
f"the recent trend; only when reality breaks the prediction harder than your "
f"normal wobble (Β±{scale:.2g}{u}) does it flag a change. This is a statistics "
f"tool, not medical or financial advice.</small>")
return "\n".join(lines)
# ------------------------------------------------------------------ examples
def example_series(name, seed=3):
rng = np.random.default_rng(seed)
if name.startswith("Weight"):
n = 90
y = 84.0 + rng.normal(0, 0.45, n)
y[52:] -= np.linspace(0, 0.11 * (n - 52), n - 52) # diet bites ~day 52 (~0.8 kg/wk)
return np.round(y, 1), "kg", "day"
if name.startswith("Sleep"):
n = 60
y = 7.1 + rng.normal(0, 0.55, n) # pure noise: nothing changed
return np.round(y, 1), "h", "night"
if name.startswith("Electricity"):
n = 52
y = 62 + rng.normal(0, 4.5, n)
y[30:] += 21 # heater breaks / tariff jumps week 30
return np.round(y, 1), "β¬", "week"
# "Spending β slow creep"
n = 80
y = 31 + np.linspace(0, 13.0, n) + rng.normal(0, 2.2, n) # lifestyle creep, no jump
return np.round(y, 2), "β¬", "day"
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