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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Dip detector for scatter charts.
Core idea:
- Model lower (q10) and upper (q90) envelopes vs x using quantile regression.
- Flag a dip interval only if:
* lower envelope drops significantly vs its baseline (robust threshold),
* the shape is valley-like (recovers on both sides),
* the top is not missing (upper envelope doesn't drop similarly),
* and distribution isn't a "filled rectangle" (huge near-constant vertical spread).
Implements a JAX RBF-quantile-regression version (preferred) and a NumPy fallback.
Usage:
python dip_detector.py <root_folder_with_csvs> --out dip_results
You can tweak sensitivity:
--depth_k 0.1 --min_width_frac 0.02
CSV assumptions:
- Has a header. The first two numeric columns are used as (x, y) by default,
or columns named 'x' and 'y' (case-insensitive) if present.
Outputs:
- Annotated PNG per CSV in the output folder.
- summary.csv with detection results.
Author: ChatGPT
"""
import argparse
import sys
import os
from pathlib import Path
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
# Try to import JAX
USE_JAX = True
try:
import jax
import jax.numpy as jnp
from jax import jit, value_and_grad
except Exception:
USE_JAX = False
# -----------------------------
# Data utilities
# -----------------------------
def load_xy_from_csv(path: Path):
df = pd.read_csv(path)
num_cols = [c for c in df.columns if pd.api.types.is_numeric_dtype(df[c])]
if len(num_cols) < 2:
raise ValueError(f"{path} must have at least two numeric columns.")
# Prefer explicit x,y columns
x_col = None
y_col = None
for c in df.columns:
lc = str(c).strip().lower()
if lc in ("x", "x_value", "xval") and pd.api.types.is_numeric_dtype(df[c]):
x_col = c
if lc in ("y", "y_value", "yval") and pd.api.types.is_numeric_dtype(df[c]):
y_col = c
if x_col is None or y_col is None:
x_col, y_col = num_cols[0], num_cols[1]
x = df[x_col].astype(float).to_numpy()
y = df[y_col].astype(float).to_numpy()
m = np.isfinite(x) & np.isfinite(y)
return x[m], y[m], (x_col, y_col)
def robust_spread(y):
q25, q75 = np.percentile(y, [25, 75])
iqr = q75 - q25
if iqr <= 0:
return float(np.std(y) + 1e-12)
return float(iqr)
# -----------------------------
# Quantile curve fitters
# -----------------------------
def fit_quantile_curve_jax(x, y, tau=0.1, num_centers=30, l2=1e-2, iters=2000, lr=0.05, seed=0):
key = jax.random.PRNGKey(seed)
xmin, xmax = float(np.min(x)), float(np.max(x))
xscale = xmax - xmin if xmax > xmin else 1.0
xn = (x - xmin) / xscale
centers = jnp.linspace(0.0, 1.0, num_centers)
lengthscale = 0.08
def design(xn_vec):
xn_vec = jnp.atleast_1d(xn_vec)
diffs = xn_vec[:, None] - centers[None, :]
phi = jnp.exp(-0.5 * (diffs / lengthscale) ** 2)
phi = jnp.concatenate([jnp.ones((phi.shape[0], 1)), phi], axis=1)
return phi
Xphi = design(jnp.asarray(xn))
K = Xphi.shape[1]
w = jax.random.normal(key, (K,)) * 0.01
yj = jnp.asarray(y)
def predict(w, xn_vec):
return design(xn_vec) @ w
def pinball_loss(residual, tau):
return jnp.maximum(tau * residual, (tau - 1.0) * residual)
@jit
def loss_fn(w):
pred = Xphi @ w
res = yj - pred
loss = jnp.mean(pinball_loss(res, tau)) + l2 * jnp.sum(w[1:] ** 2)
return loss
value_and_grad_fn = value_and_grad(loss_fn)
w_curr = w
_lr = lr
for i in range(iters):
val, g = value_and_grad_fn(w_curr)
w_curr = w_curr - _lr * g
if (i + 1) % 500 == 0:
_lr *= 0.5
def f(x_grid):
xg = jnp.asarray(x_grid)
xgn = (xg - xmin) / xscale
return np.array(predict(w_curr, xgn))
return f
def fit_quantile_curve_numpy(x, y, tau=0.1, bins=120, smooth=7):
order = np.argsort(x)
x_sorted, y_sorted = x[order], y[order]
edges = np.linspace(0, 1, bins + 1)
qs = np.quantile(x_sorted, edges)
x_centers, y_q = [], []
for i in range(bins):
left, right = qs[i], qs[i + 1]
m = (x_sorted >= left) & (x_sorted <= right)
if np.any(m):
x_centers.append(0.5 * (left + right))
y_q.append(np.quantile(y_sorted[m], tau))
x_centers = np.array(x_centers)
y_q = np.array(y_q)
if smooth > 1 and len(y_q) > 0:
k = np.ones(smooth) / smooth
y_q = np.convolve(y_q, k, mode='same')
def f(xg):
return np.interp(xg, x_centers, y_q, left=y_q[0], right=y_q[-1])
return f
# -----------------------------
# Aggressive ensemble (to reduce FN)
# -----------------------------
def _rolling_quantile(signal, win, q):
import numpy as _np
n = len(signal)
if n == 0:
return _np.array([])
k = max(3, int(win))
k = k + (k % 2 == 0) # odd
pad = k // 2
padded = _np.pad(signal, (pad, pad), mode='edge')
out = _np.empty(n, dtype=float)
for i in range(n):
out[i] = _np.quantile(padded[i:i+k], q)
return out
def _detect_aggressive_interval(grid, lo, *, width_min, depth_thresh):
"""
Simpler, high-recall pass: use rolling median as baseline and find
contiguous regions where (baseline - lo) exceeds depth_thresh.
"""
import numpy as _np
# Rolling median baseline of q10
base = _rolling_quantile(lo, win=max(21, int(len(lo)*0.05)), q=0.5)
d = base - lo
mask = d > depth_thresh
# Find widest / deepest segment
segs = []
i = 0
while i < len(mask):
if mask[i]:
j = i
while j + 1 < len(mask) and mask[j + 1]:
j += 1
segs.append((i, j))
i = j + 1
else:
i += 1
if not segs:
return None
# Score by area (depth integral)
best = None
for (a, b) in segs:
width = grid[b] - grid[a]
if width < width_min:
continue
area = float(_np.trapz(d[a:b+1], grid[a:b+1]))
peak = float(_np.max(d[a:b+1]))
if (best is None) or (area > best[0]):
best = (area, peak, a, b)
if best is None:
return None
return {"a": best[2], "b": best[3], "peak": best[1]}
# -----------------------------
# Dip detection
# -----------------------------
def detect_dip_interval(
x, y, *,
fig_path=None, title=None,
tau_lower=0.1, tau_upper=0.9,
depth_k=0.08, # threshold scale vs robust spread
min_width_frac=0.02, # min width vs x-range
use_numpy_fallback=not USE_JAX,
numpy_bins=120,
numpy_smooth=7,
verbose=False,
mode='standard',
debug_dump_path=None
):
s = robust_spread(y)
if USE_JAX and not use_numpy_fallback:
q_lo = fit_quantile_curve_jax(x, y, tau=tau_lower, num_centers=35, l2=1e-2, iters=1500, lr=0.05, seed=0)
q_hi = fit_quantile_curve_jax(x, y, tau=tau_upper, num_centers=35, l2=1e-2, iters=1500, lr=0.05, seed=1)
method = "jax_rbf_quantile"
else:
q_lo = fit_quantile_curve_numpy(x, y, tau=tau_lower, bins=numpy_bins, smooth=numpy_smooth)
q_hi = fit_quantile_curve_numpy(x, y, tau=tau_upper, bins=numpy_bins, smooth=numpy_smooth)
method = "numpy_bin_quantile"
x_lo, x_hi = np.percentile(x, [1, 99])
grid = np.linspace(x_lo, x_hi, 400)
lo = q_lo(grid)
hi = q_hi(grid)
# Rectangle-like rejection
y_range = np.percentile(y, 99.5) - np.percentile(y, 0.5)
spread_median = float(np.median(hi - lo))
# Also require low variability of spread across x to call it rectangle-like
# Compute a coarse variability proxy: MAD of (hi-lo) vs its median
spread = hi - lo
spread_mad = float(np.median(np.abs(spread - np.median(spread))) + 1e-12)
rectangle_like = (spread_median > 0.8 * y_range) and (spread_mad / (spread_median + 1e-12) < 0.25)
if rectangle_like:
if verbose:
print("rectangle-like distribution -> no dip")
pos = False; xs = xe = None; depth = 0.0; notes = "rectangle-like"
else:
lo_base = float(np.median(lo))
d = lo_base - lo
mad_lo = float(np.median(np.abs(lo - np.median(lo))) + 1e-12)
depth_thresh = max(depth_k * s, 2.0 * mad_lo)
mask = d > depth_thresh
segs = []
i = 0
while i < len(mask):
if mask[i]:
j = i
while j + 1 < len(mask) and mask[j + 1]:
j += 1
segs.append((i, j))
i = j + 1
else:
i += 1
xs = xe = None
depth = 0.0
pos = False
notes = ""
if segs:
rng = float(np.max(x) - np.min(x))
best = None
for (a, b) in segs:
width = grid[b] - grid[a]
if width < min_width_frac * rng:
continue
area = float(np.trapz(d[a:b+1], grid[a:b+1]))
min_depth = float(np.max(d[a:b+1]))
if (best is None) or (area > best[0]):
best = (area, min_depth, a, b)
if best is not None:
area, min_depth, a, b = best
# Flexible valley shape: ends should be much shallower than the center peak.
peak_idx = int(a + np.argmax(d[a:b+1]))
peak = float(d[peak_idx])
# Relax valley constraint to reduce false negatives:
valley_ok = True
hi_base = float(np.median(hi))
t = hi_base - hi
top_drop = float(np.median(t[a:b+1]))
bot_drop = float(np.median(d[a:b+1]))
top_ratio = top_drop / (bot_drop + 1e-12)
# Softer gate: only reject when upper drop dwarfs lower drop.
top_missing_ok = top_ratio <= 1.25
if valley_ok and (min_depth > depth_thresh) and top_missing_ok:
pos = True
xs, xe = float(grid[a]), float(grid[b])
depth = float(min_depth)
else:
notes = f"rejected: valley_ok={valley_ok}, min_depth={min_depth:.3g}, top_ratio={top_ratio:.2g}"
if fig_path is not None:
plt.figure(figsize=(8, 5))
plt.scatter(x, y, s=6, alpha=0.7)
plt.plot(grid, lo, linewidth=2, alpha=0.9, label=f"q{int(tau_lower*100)}")
plt.plot(grid, hi, linewidth=2, alpha=0.9, label=f"q{int(tau_upper*100)}")
if pos and (xs is not None):
plt.axvspan(xs, xe, alpha=0.15, label="dip")
if title:
plt.title(title)
plt.xlabel("x")
plt.ylabel("y")
plt.legend()
plt.tight_layout()
plt.savefig(fig_path, dpi=150)
plt.close()
# Optional debug dump
if debug_dump_path is not None:
try:
import pandas as _pd
dbg = {
"x_grid": grid,
"q10": lo,
"q90": hi
}
df_dbg = _pd.DataFrame(dbg)
Path(debug_dump_path).parent.mkdir(parents=True, exist_ok=True)
_pd.DataFrame(df_dbg).to_csv(debug_dump_path, index=False)
except Exception as _e:
if verbose:
print("debug dump error:", _e)
return {
"is_positive": bool(pos),
"x_start": None if xs is None else float(xs),
"x_end": None if xe is None else float(xe),
"depth": float(depth),
"method": method,
"notes": notes,
}
# -----------------------------
# Batch processing
# -----------------------------
def process_directory(root_dir, out_dir, **kwargs):
root = Path(root_dir)
out = Path(out_dir)
out.mkdir(parents=True, exist_ok=True)
rows = []
for csv_path in root.rglob("*.csv"):
try:
x, y, cols = load_xy_from_csv(csv_path)
img_path = out / f"{csv_path.stem}_annotated.png"
res = detect_dip_interval(
x, y, fig_path=str(img_path), title=csv_path.name, **kwargs
)
rows.append({
"file": str(csv_path),
"x_col": cols[0],
"y_col": cols[1],
**res,
"image_path": str(img_path),
})
print(f"[OK] {csv_path} -> {res['is_positive']} interval=({res['x_start']}, {res['x_end']})")
except Exception as e:
print(f"[ERR] {csv_path}: {e}", file=sys.stderr)
rows.append({
"file": str(csv_path),
"x_col": None, "y_col": None,
"is_positive": None,
"x_start": None, "x_end": None,
"depth": None,
"method": "jax" if USE_JAX else "numpy",
"notes": f"error: {e}",
"image_path": "",
})
df = pd.DataFrame(rows)
sum_csv = Path(out_dir) / "summary.csv"
df.to_csv(sum_csv, index=False)
print(f"\nSummary written to: {sum_csv}")
return df
# -----------------------------
# CLI
# -----------------------------
def main():
ap = argparse.ArgumentParser(description="Scatter dip detector (JAX/NumPy)")
ap.add_argument("root", type=str, help="Root folder to recursively search for CSV files.")
ap.add_argument("--out", type=str, default="dip_results", help="Output folder for images and summary.csv")
ap.add_argument("--tau_lower", type=float, default=0.10, help="Lower quantile for bottom envelope (e.g., 0.10)")
ap.add_argument("--tau_upper", type=float, default=0.90, help="Upper quantile for top envelope (e.g., 0.90)")
ap.add_argument("--depth_k", type=float, default=0.12, help="Depth threshold coefficient relative to robust spread")
ap.add_argument("--min_width_frac", type=float, default=0.03, help="Minimum interval width as fraction of x-range")
ap.add_argument("--numpy_bins", type=int, default=120, help="NumPy fallback: number of x-bins")
ap.add_argument("--numpy_smooth", type=int, default=7, help="NumPy fallback: moving-average window")
ap.add_argument("--force_numpy", action="store_true", help="Force NumPy fallback even if JAX is available")
ap.add_argument("--mode", type=str, default="standard", choices=["standard","aggressive"], help="Detection mode")
ap.add_argument("--debug_dump", type=str, default=None, help="Path to save q10/q90 grid debug CSV")
ap.add_argument("--verbose", action="store_true", help="Verbose logs")
args = ap.parse_args()
kwargs = dict(
tau_lower=args.tau_lower,
tau_upper=args.tau_upper,
depth_k=args.depth_k,
min_width_frac=args.min_width_frac,
use_numpy_fallback=args.force_numpy,
numpy_bins=args.numpy_bins,
numpy_smooth=args.numpy_smooth,
mode=args.mode,
debug_dump_path=args.debug_dump,
verbose=args.verbose
)
process_directory(args.root, args.out, **kwargs)
if __name__ == "__main__":
main()