forked from mnbvc188199/Warrior_EA
- Introduced `FeatureScale.mqh` with `FeatSquash` function for stateless feature scaling. - Added `RegimeMath.mqh` class for regime arithmetic, including efficiency and variance calculations. - Documented the Mind trading logic in `MIND.md`, detailing the trading process and modes. - Created `VOLNORM_PLAN.md` and `VOLNORM_RESULTS.md` for tick-volume normalization testing. - Implemented `read_book.py` for analyzing trade book data and correlations. - Developed `volnorm.py` for testing tick-volume normalization with new and old methods.
145 lines
5.3 KiB
Python
145 lines
5.3 KiB
Python
"""
| |
Tick-volume normalization test. Pre-registered in VOLNORM_PLAN.md.
| |
| |
python research/volnorm.py [H4|H1]
| |
"""
| |
| |
from __future__ import annotations
| |
| |
import os
| |
import sys
| |
| |
import numpy as np
| |
import pandas as pd
| |
from scipy.stats import spearmanr
| |
| |
sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
| |
import afml_bars as ab # noqa: E402 (m1(), agg(), HCC path)
| |
| |
SLOT_WINDOW = 60 # sessions of the same hour-of-day slot
| |
Z_ENTRY, Z_WIN, MAX_BARS = -1.5, 20, 10
| |
BOOT, BLOCK = 5000, 10
| |
rng = np.random.default_rng(7)
| |
| |
| |
def bars(symbol: str, secs: int) -> pd.DataFrame:
| |
a = ab.m1(symbol)
| |
b = ab.agg(a, a["t"] // secs, 0.0, 0.0)
| |
df = pd.DataFrame({k: b[k] for k in ("ts", "o", "h", "l", "c", "v")})
| |
df = df[df.v > 0].reset_index(drop=True)
| |
df["hour"] = pd.DatetimeIndex(df.ts).hour
| |
df["year"] = pd.DatetimeIndex(df.ts).year
| |
return df
| |
| |
| |
def old_rvol(v: pd.Series) -> pd.Series:
| |
"""What the EA computes today: bar / mean of the previous 20 bars (shift excludes the bar itself
| |
from the mean only for causality of the comparison; the EA includes it - immaterial to the R^2)."""
| |
return np.log(v / v.rolling(20).mean())
| |
| |
| |
def new_rvol(df: pd.DataFrame) -> pd.Series:
| |
prof = df.groupby("hour")["v"].transform(
| |
lambda s: s.shift(1).rolling(SLOT_WINDOW, min_periods=SLOT_WINDOW // 2).median())
| |
return np.log(df.v / prof)
| |
| |
| |
def r2_on_hour(x: pd.Series, hour: pd.Series) -> float:
| |
ok = x.notna() & np.isfinite(x)
| |
x, h = x[ok], hour[ok]
| |
tot = ((x - x.mean()) ** 2).sum()
| |
within = ((x - x.groupby(h).transform("mean")) ** 2).sum()
| |
return 1.0 - within / tot
| |
| |
| |
def year_spread(x: pd.Series, year: pd.Series) -> float:
| |
return float(x.groupby(year).mean().std())
| |
| |
| |
def atr14(df: pd.DataFrame) -> pd.Series:
| |
pc = df.c.shift(1)
| |
tr = pd.concat([df.h - df.l, (df.h - pc).abs(), (df.l - pc).abs()], axis=1).max(axis=1)
| |
return tr.rolling(14).mean()
| |
| |
| |
def dip_events(df: pd.DataFrame) -> pd.DataFrame:
| |
"""z20 <= -1.5 on the closed bar; fill next open; exit at first close >= SMA20 else 10 bars."""
| |
sma = df.c.rolling(Z_WIN).mean()
| |
sd = df.c.rolling(Z_WIN).std()
| |
z = (df.c - sma) / sd
| |
rows, i, n = [], Z_WIN, len(df)
| |
c, o, s = df.c.values, df.o.values, sma.values
| |
while i < n - MAX_BARS - 2:
| |
if z.iloc[i] <= Z_ENTRY:
| |
entry = o[i + 1]
| |
j = i + 1
| |
while j < min(i + 1 + MAX_BARS, n - 1) and c[j] < s[j]:
| |
j += 1
| |
rows.append((i, (c[j] / entry - 1.0) * 1e4))
| |
i = j + 1
| |
else:
| |
i += 1
| |
return pd.DataFrame(rows, columns=["i", "bp"])
| |
| |
| |
def terciles(feat: np.ndarray, bp: np.ndarray):
| |
lo, hi = np.nanpercentile(feat, [33.3, 66.7])
| |
return bp[feat <= lo], bp[feat >= hi]
| |
| |
| |
def block_boot_diff(top: np.ndarray, bot: np.ndarray) -> tuple[float, float, float]:
| |
d = top.mean() - bot.mean()
| |
ds = np.empty(BOOT)
| |
for k in range(BOOT):
| |
def rs(x):
| |
nb = max(1, len(x) // BLOCK)
| |
st = rng.integers(0, max(1, len(x) - BLOCK), nb)
| |
return np.concatenate([x[s:s + BLOCK] for s in st]).mean()
| |
ds[k] = rs(top) - rs(bot)
| |
return d, *np.percentile(ds, [2.5, 97.5])
| |
| |
| |
def main() -> None:
| |
label = sys.argv[1] if len(sys.argv) > 1 else "H4"
| |
secs = {"H4": 4 * 3600, "H1": 3600}[label]
| |
print(f"== bars: {label}, slot window {SLOT_WINDOW} sessions ==\n")
| |
print(f"{'idx':7s} {'R2 old':>7s} {'R2 new':>7s} {'yr sd old':>10s} {'yr sd new':>10s}"
| |
f" {'rho old':>8s} {'rho new':>8s}")
| |
pooled = {"old": ([], []), "new": ([], [])}
| |
per_idx = []
| |
for sym in ab.IDX:
| |
df = bars(sym, secs)
| |
df["old"], df["new"] = old_rvol(df.v), new_rvol(df)
| |
atr = atr14(df)
| |
act = (df.c.shift(-1) / df.c - 1.0).abs() * df.c / atr
| |
m = df.old.notna() & df.new.notna() & act.notna()
| |
rho_o = spearmanr(df.old[m], act[m]).statistic
| |
rho_n = spearmanr(df.new[m], act[m]).statistic
| |
print(f"{sym:7s} {r2_on_hour(df.old, df.hour):7.3f} {r2_on_hour(df.new, df.hour):7.3f}"
| |
f" {year_spread(df.old, df.year):10.3f} {year_spread(df.new, df.year):10.3f}"
| |
f" {rho_o:8.3f} {rho_n:8.3f}")
| |
ev = dip_events(df)
| |
ev = ev[df.old.iloc[ev.i].notna().values & df.new.iloc[ev.i].notna().values]
| |
res = {}
| |
for kind in ("old", "new"):
| |
f = df[kind].iloc[ev.i].values
| |
top, bot = terciles(f, ev.bp.values)
| |
res[kind] = block_boot_diff(top, bot)
| |
pooled[kind][0].append(top)
| |
pooled[kind][1].append(bot)
| |
per_idx.append((sym, len(ev), ev.bp.mean(), res))
| |
print("\nDip-z events: mean bp, then top-minus-bottom tercile of the volume feature "
| |
"(diff [95% block-bootstrap CI])")
| |
for sym, n, mbp, res in per_idx:
| |
print(f"{sym:7s} n={n:4d} mean {mbp:6.1f} bp | "
| |
+ " | ".join(f"{k}: {d:6.1f} [{lo:6.1f},{hi:6.1f}]" for k, (d, lo, hi) in res.items()))
| |
for kind in ("old", "new"):
| |
top = np.concatenate(pooled[kind][0])
| |
bot = np.concatenate(pooled[kind][1])
| |
d, lo, hi = block_boot_diff(top, bot)
| |
print(f"POOLED {kind}: top {top.mean():6.1f} bp (n {len(top)}), bottom {bot.mean():6.1f} bp"
| |
f" (n {len(bot)}), diff {d:6.1f} [{lo:6.1f}, {hi:6.1f}]")
| |
| |
| |
if __name__ == "__main__":
| |
main()
|