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tianxuan/analysis/distance/_svd.py
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PM-pinou 6cbbc24f14 refactor: split distance.py (1114 lines) into analysis/distance/ package
Break monolithic distance.py into 8 focused sub-modules:
- _geo.py: IP distance functions (subnet mask, haversine, geo)
- _text.py: String distance (Levenshtein + enum) + bool distance
- _numeric.py: Bytes/hex popcount + timestamp FFT distance
- _normalize.py: StandardScaler normalization
- _svd.py: svd_denoise (TruncatedSVD, returns noise_profile)
- _umap.py: umap_reduce (3D→2D fallback)
- _cluster_svd.py: cluster_svd_extract (per-cluster SVD)

DELETE: run_preprocessing_pipeline (dead code, replaced by ColumnProcessor)
All public APIs re-exported via __init__.py. Backward compatible.
2026-07-24 13:50:44 +08:00

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"""SVD noise removal (step 3 of preprocessing pipeline)."""
import numpy as np
import polars as pl
def svd_denoise(
lf: pl.LazyFrame,
feature_cols: list[str],
variance_threshold: float = 0.95,
) -> tuple[pl.LazyFrame, dict]:
"""Remove noise from numeric features via TruncatedSVD.
1. Fits TruncatedSVD on *feature_cols*.
2. Keeps *k* components where cumulative explained variance
``trace(S[:k]) / trace(S) ≥ variance_threshold`` (default 0.95).
3. Inverse-transforms to reconstruct the denoised matrix.
4. **Replaces** the original *feature_cols* with denoised values.
The noise components (removed by SVD) are returned as a dict for
display, NOT as new feature columns.
Parameters
----------
lf:
LazyFrame containing *feature_cols*.
feature_cols:
Numeric column names to denoise. These columns are replaced
in-place by their denoised reconstructions.
variance_threshold:
Fraction of total variance to preserve (0.01.0).
Default 0.95 keeps 95 % of signal and treats 5 % as noise.
Returns
-------
tuple[pl.LazyFrame, dict]
``(denoised_lf, noise_profile)`` where *noise_profile* contains:
- ``kept_components`` : int — number of components kept
- ``total_components`` : int — max possible components
- ``kept_variance`` : float — fraction of variance kept
- ``noise_components`` : list[dict] — per-component noise info
(component index, explained variance, top-5 contributing features)
"""
noise_profile = {
'kept_components': 0,
'total_components': 0,
'kept_variance': 0.0,
'noise_components': [],
}
available = [c for c in feature_cols if c in lf.collect_schema().names()]
if not available:
return lf, noise_profile
df = lf.select(available).collect(streaming=True)
mat = df.to_numpy().astype(np.float64)
mat = np.nan_to_num(mat, nan=0.0)
n, d = mat.shape
max_components = min(n, d - 1)
if max_components < 1:
return lf, noise_profile
from sklearn.decomposition import TruncatedSVD
svd = TruncatedSVD(n_components=max_components, random_state=42)
_ = svd.fit_transform(mat)
total_variance = float(np.sum(svd.explained_variance_))
if total_variance <= 1e-10:
return lf, noise_profile
cumsum = np.cumsum(svd.explained_variance_)
for k in range(1, max_components + 1):
if cumsum[k - 1] / total_variance >= variance_threshold:
break
else:
k = max_components
# Re-fit with chosen k
svd_k = TruncatedSVD(n_components=k, random_state=42)
reduced = svd_k.fit_transform(mat)
reconstructed = svd_k.inverse_transform(reduced)
# --- Build noise profile (removed components) ---
# The "noise" is the variance in components k..max_components
kept_var_ratio = cumsum[k - 1] / total_variance if k > 0 else 0.0
noise_profile = {
'kept_components': k,
'total_components': max_components,
'kept_variance': round(float(kept_var_ratio), 4),
}
# Per-component noise info for removed components (k and beyond)
noise_info = []
for comp_idx in range(k, min(k + 10, max_components)):
loading = np.abs(svd.components_[comp_idx])
top5_idx = np.argsort(loading)[-5:][::-1]
top5 = [
{'feature': available[i], 'strength': round(float(loading[i]), 4)}
for i in top5_idx
]
noise_info.append({
'component': int(comp_idx + 1),
'explained_var_ratio': round(float(svd.explained_variance_ratio_[comp_idx]) * 100, 3),
'top_features': top5,
})
noise_profile['noise_components'] = noise_info
# --- Replace original columns with denoised values ---
df_result = lf.collect(streaming=True)
for i, col in enumerate(available):
df_result = df_result.with_columns(
pl.Series(col, reconstructed[:, i])
)
return df_result.lazy(), noise_profile