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Gradient boosting with Kolmogorov-Arnold Network (KAN) learners -- an interpretable alternative to tree-based boosting (XGBoost/LightGBM/CatBoost).

Project description

KANBoost

Gradient boosting with Kolmogorov-Arnold Network (KAN) learners — an interpretable, from-scratch alternative to tree-based boosting frameworks (XGBoost, LightGBM, CatBoost).

Instead of decision trees as weak learners, KANBoost fits a sequence of small, shallow KAN networks to the pseudo-residuals of the previous stage, following the classic Friedman (2001) gradient boosting recipe. Because each KAN edge is a learnable univariate spline rather than an opaque weight, the resulting ensemble exposes per-feature shape functions that are directly inspectable — closer to a Generalized Additive Model than a black box.

Status: early-stage research project. This is not a drop-in replacement for CatBoost/XGBoost in production. See Benchmarks and Honest limitations below before using this for anything important.

Why this exists

As of mid-2026, there is no widely-used, pip-installable library that combines KAN with gradient boosting. A closely related idea was published as GB-KAN (ICAART 2026), but no public code accompanies that paper. KANBoost is an independent, from-scratch open-source implementation of the same general idea, plus:

  • automatic handling of categorical features (smoothed target-mean encoding, done fold-safe), instead of requiring manual one-hot encoding
  • automatic handling of missing values (median imputation + optional missing-indicator columns), instead of requiring you to impute first
  • built-in early stopping on a validation set
  • approximate feature importances derived from learned spline coefficients

Features

  • Binary and multiclass classification (KANBoostClassifier, one-vs-rest for 3+ classes) and regression (KANBoostRegressor, squared-error or quantile/pinball loss)
  • GPU supportdevice="cuda" (or device=None to auto-detect), falls back to CPU
  • Model persistencemodel.save(path) / KANBoostClassifier.load(path)
  • sample_weight support in fit()
  • validation_fraction — automatic internal train/validation split for early stopping when you don't have a separate eval_set handy
  • batch_size — mini-batch training for larger datasets
  • Interpretability: model.feature_importances() / feature_importances_dict(), model.plot_feature(name) for a partial-dependence-style curve of a single feature's learned response, and model.feature_contributions(X) for native per-sample, per-feature attribution (not a post-hoc method like SHAP)
  • Hard monotonic constraintsmonotone_constraints={"feature": 1|-1} (requires gam=True), enforced by projecting each edge's B-spline control points onto the monotone cone every step — a real guarantee, not a penalty
  • GAM mode (gam=True) — fixes each learner's output edge to identity, making the ensemble an exact additive model F(x) = c + sum_j g_j(x_j); combine with model.symbolic_report(X) to fit closed-form functions (sin, x^2, tanh, ...) to each feature's learned shape function
  • model.predict_derivative(X, feature) — analytic, exact derivative curves (trees have none; MLPs only give pointwise autograd gradients)
  • model.refine(X, new_grid) / model.prune(X, threshold) — near-losslessly re-express a fitted ensemble on a finer spline grid, or zero out dead edges post-hoc, without retraining from scratch
  • model.feature_interaction(X) — native structural interaction scores read off the trained weights (kan_hidden > 1)
  • lamb/lamb_l1/lamb_coefdiff — tunable smoothness/sparsity regularization on the learned splines (pykan's own regularizers)
  • kanboost.editing.consolidate(model) (requires gam=True) — collapse a fitted ensemble's per-feature shape functions (each currently a sum of splines across every boosting round) into one editable spline per feature, wrapped in an EditableGAM: shift/pin a region (set_offset/set_values), re-enforce hard monotonicity after an edit (enforce_monotone, same guarantee as monotone_constraints), inspect the effect (diff), and predict/save/load exactly like the original model. See Editable models below.
  • Automatic categorical encoding and missing-value handling, no manual preprocessing required

Install

pip install kanboost

Add pip install kanboost[api] if you also want the optional FastAPI serving layer (see Serving & observability).

Or from source:

git clone https://github.com/tuamah/kanboost.git
cd kanboost
pip install -e .

Quickstart

import pandas as pd
from sklearn.model_selection import train_test_split
from kanboost import KANBoostClassifier

df = pd.read_csv("your_data.csv")
X = df.drop(columns=["target"])
y = df["target"].values  # binary or multiclass; NaN in X is handled automatically

X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.2)

model = KANBoostClassifier(
    n_estimators=100,
    learning_rate=0.2,
    kan_hidden=4,
    kan_grid=3,
    categorical_cols=["region", "plan_type"],  # optional
    early_stopping_rounds=10,
    device="cuda",  # or None to auto-detect, "cpu" to force CPU
)
model.fit(X_train, y_train, eval_set=(X_val, y_val))  # sample_weight=... optional

probs = model.predict_proba(X_val)  # shape (n, 2) binary, (n, n_classes) multiclass
importances = model.feature_importances_dict()

model.save("model.pt")
loaded = KANBoostClassifier.load("model.pt")  # device=... to override where it loads

model.plot_feature("region")  # matplotlib partial-dependence plot

Serving & observability (optional, additive)

These live in their own modules and never modify or depend on private training/inference internals beyond model.verbose/model._fit_learner existing -- nothing here changes how fit/predict behave.

Observability (kanboost.observability, no extra install needed):

from kanboost.observability import (
    time_predict, memory_snapshot, gpu_utilization_flag, capture_boosting_rounds,
)

preds, metrics = time_predict(model, X_val, method="predict_proba")
print(metrics.elapsed_seconds, metrics.samples_per_second, metrics.device)

print(memory_snapshot())        # process RSS + CUDA allocator stats
print(gpu_utilization_flag(model))  # cuda_available, device_name, model_on_gpu

with capture_boosting_rounds(model) as rounds:
    model.fit(X_train, y_train, eval_set=(X_val, y_val))
for r in rounds:
    print(r.round, r.elapsed_seconds, r.loss, r.gpu_allocated_mb)

Logging (kanboost.logging_utils, stdlib only):

from kanboost.logging_utils import get_logger, log_boosting_rounds

logger = get_logger("my_experiment")  # respects KANBOOST_LOG_LEVEL env var
log_boosting_rounds(rounds, logger=logger, model_name="churn_v3")

Serving (kanboost.serving, needs pip install kanboost[api]):

from kanboost.serving import create_app

app = create_app("model.pt")  # auto-detects classifier vs. regressor
# uvicorn.run(app, host="0.0.0.0", port=8000)

or as a uvicorn target directly:

KANBOOST_MODEL_PATH=model.pt uvicorn kanboost.serving:app

Endpoints: GET /health, POST /predict ({"records": [{"col": val, ...}]}), and POST /predict_proba (classifiers only).

Editable models (human-in-the-loop)

kanboost.editing.consolidate(model) collapses a fitted gam=True ensemble's per-feature shape function -- currently a sum of splines across every boosting round -- into one editable spline per feature. This is conceptually similar to Microsoft's GAM Changer, an editing tool for EBM (Explainable Boosting Machine): both let a domain expert directly reshape a model's per-feature curves. The difference is what happens after an edit. EBM's shape functions are piecewise-constant bins, so checking monotonicity there is just comparing adjacent bins -- there's no notion of smoothness or between-point behavior to verify, because there's no continuous curve in the first place. KANBoost's feature is a genuine continuous B-spline, so enforce_monotone re-derives a provably monotone coefficient sequence after an edit -- guaranteed for every point on the curve, not just at the sampled locations used to build it -- the same variation-diminishing projection monotone_constraints uses during training, not a best-effort correction.

from kanboost.editing import consolidate

model = KANBoostRegressor(gam=True, kan_hidden=1, n_estimators=50)
model.fit(X_train, y_train)

gam = consolidate(model)  # multiclass classifier -> {class_label: EditableGAM}
print(gam.max_consolidation_error())  # worst per-feature fit error (call with feature=... for one feature)

gam.set_offset("age", x_range=(-0.2, 0.3), delta=0.5)   # shift a region
gam.set_values("region", x_range=(0.6, 1.0), value=0.0)  # pin a region flat
gam.enforce_monotone("income", sign=1)  # re-derive a provably monotone curve

report = gam.diff(X_val, y_val)  # per-feature deltas + before/after metric
gam.predict(X_val)                # exact, same interface as the original model
gam.save("edited_model.pt")

Experimental utilities (optional, additive)

kanboost.experimental is a small toolkit of convenience functions built entirely on the public methods above -- nothing here needs core changes, and suggest_constraints in particular is a heuristic, not a guarantee: always confirm with audit_monotonicity on a model actually fit with the suggested constraints.

from kanboost.experimental import (
    suggest_constraints, audit_monotonicity, symbolic_export,
    predict_interval, explain_row, dashboard_html,
)

# suggest which features look monotone in the raw data (advisory only)
constraints = suggest_constraints(X_train, y_train)

model = KANBoostRegressor(gam=True, kan_hidden=1, monotone_constraints=constraints)
model.fit(X_train, y_train)

# verify the constraint actually held on held-out data (not just training data)
print(audit_monotonicity(model, X_test))

print(symbolic_export(model, X_test))                  # compact human-readable summary
print(explain_row(model, X_test, row_index=0))          # top feature contributions for one row
predict_interval([model_seed0, model_seed1], X_test)     # mean/lower/upper/std across models
dashboard_html(model, X_test, y_test, path="report.html")  # one static HTML report

Interactive dashboard (optional, additive)

dashboard_html above is a zero-dependency static snapshot -- good for sharing or archiving in CI. kanboost.dashboard is a live, local Streamlit app for actually exploring one of your own fitted models: feature importances, plot_feature curves, symbolic_report (GAM mode), feature_interaction, per-row explain_row, and -- for a single-chain gam=True model (regressor or binary classifier; not yet multiclass) -- a panel to live-edit shape functions via kanboost.editing.EditableGAM (set_offset, enforce_monotone, diff, save), with the before/after curve redrawn immediately. Requires pip install kanboost[dashboard].

from kanboost.dashboard import launch

launch("model.pt")                      # opens a local browser tab
launch("model.pt", data_path="X.csv")   # preload a dataset to explore

or from the command line: python -m kanboost.dashboard model.pt X.csv

This runs a local server for one person exploring one model, not a hosted multi-tenant service -- see Serving for that.

Benchmarks

Preliminary results on a real-world telecom churn dataset (100K rows, 10 numeric features used, 8K-row sample for the KANBoost run due to current training-speed limits):

Model Test AUC Notes
CatBoost (tuned, full data, ~100 columns) 0.6992 production baseline
KANBoostClassifier (this repo, 10 features, 8K sample) 0.64 early prototype, untuned
Plain KAN (no boosting) 0.65 single model, same features
Plain MLP 0.59–0.62 same features

Standard UCI-style datasets, KANBoost vs. sklearn's HistGradientBoosting* (untuned defaults) as a sanity floor — see examples/benchmark_uci.py, reproducible in one run (kan_hidden=1, n_estimators=60, kan_steps=15, batch_size=2048):

Dataset Metric KANBoost HistGradientBoosting KANBoost train time
Adult Income (10K-row train sample, 48K total) AUC 0.884 0.919 ~17s
California Housing (full, 20.6K rows) 0.639 0.836 ~13s
Breast Cancer Wisconsin (full, 569 rows) AUC 0.9954 0.9931 ~11s

A separate, fully independent real-world test (an NFL Draft prediction dataset, ~2.8K rows, 80 engineered features after preprocessing, 5-fold CV, n_estimators=300, early_stopping_rounds=30, validation_fraction=0.15), comparing against tuned CatBoost rather than untuned HistGradientBoosting:

Model Mean CV AUC OOF AUC Time per fold
CatBoost (tuned) 0.83880 0.81961 2.4–7.8s
KANBoost 0.83153 0.83002 84–90s

KANBoost trailed on 4 of 5 individual folds by under 0.5 points, and actually edged CatBoost out on OOF AUC (the metric computed on all pooled out-of-fold predictions at once, rather than averaged per-fold) — at roughly 17–20x the training time. Consistent with the UCI results above: KANBoost's accuracy is competitive, not the reason to reach for it; the ~20x slowdown is real and dataset-independent so far.

On the small-data end (Breast Cancer, 569 rows), KANBoost's smaller per-round learner capacity stops being a handicap and it edges out the tree baseline — the two larger datasets show the more typical pattern of tree boosting ahead on both accuracy and speed.

Also in that script: a monotone_constraints={"MedInc": 1} model on California Housing, verified via predict_derivative to have a non-negative derivative (min ≈ +0.50) on the held-out test set — a hard structural guarantee tree-boosting libraries can't offer.

A separate, more rigorous cross-validated benchmark on Breast Cancer Wisconsin (mean ± std over folds, tuned KANBoost vs. tuned tree ensembles and a scaled logistic regression/MLP baseline) surfaces a genuine, previously undocumented finding — a calibration gap, not just a speed one:

Model ROC AUC F1 @ 0.5 F1 @ best per-fold threshold Brier score Fit time
LogReg (scaled) 0.9954 0.9616 0.9823 0.0201 0.02s
KANBoost (tuned) 0.9940 0.9476 0.9706 0.0578 30.4s
LightGBM 0.9936 0.9551 0.9680 0.0246 0.14s
XGBoost 0.9934 0.9614 0.9673 0.0228 0.28s
HistGradientBoosting 0.9937 0.9518 0.9619 0.0300 0.33s
RandomForest 0.9881 0.9406 0.9579 0.0331 1.49s
MLP (scaled) 0.9751 0.8951 0.9345 0.1151 0.05s

KANBoost's ranking ability (ROC AUC, PR AUC) is genuinely excellent here — second only to logistic regression, ahead of every tree ensemble. But its raw probabilities are comparatively miscalibrated: worst Brier score of the group, and the per-fold F1-optimal decision threshold averaged 0.405, not 0.5 — a real, systematic skew, not noise. At the default 0.5 cutoff its F1 looks mediocre; using each fold's own optimal threshold instead, F1 and MCC both jump to second-best overall, ahead of LightGBM, XGBoost, and HistGradientBoosting.

Practical takeaway: don't threshold KANBoost's predict_proba output at the default 0.5 for classification metrics — tune the decision threshold on a validation set (or apply a post-hoc calibration step like Platt scaling/isotonic regression) the way you would for any model with a known calibration gap. Its probability ranking can be trusted at face value; its probability values currently can't be, out of the box.

Also notable, and not previously measured: prediction time, not just fit time, is markedly slower here too (~0.99s vs. 0.006–0.12s for the tree ensembles) — roughly two orders of magnitude, distinct from the already-documented training-speed gap.

A second, independent run on the same dataset with a stricter methodology — the decision threshold picked on a held-out validation split, then applied once to a separate test split (rather than the per-fold-optimal-on-test-itself threshold above, which is a slightly more optimistic setup) — both confirms and strengthens this picture:

Model Test ROC AUC Test Brier Threshold (from val) Test accuracy @ that threshold Test F1 Test MCC
RandomForest 0.9983 0.0274 0.440 0.9649 0.9512 0.9245
KANBoost (tuned) 0.9980 0.0578 0.415 0.9825 0.9756 0.9626
LogReg (scaled) 0.9954 0.0222 0.730 0.9649 0.9500 0.9258
HistGradientBoosting 0.9940 0.0296 0.235 0.9737 0.9630 0.9442
LightGBM 0.9940 0.0198 0.270 0.9825 0.9756 0.9626
XGBoost 0.9931 0.0199 0.280 0.9825 0.9756 0.9626
MLP (scaled) 0.9894 0.0980 0.555 0.9386 0.9136 0.8675

Brier score replicates the calibration gap independently — still clearly the worst of the group, confirming it's a real, repeatable property of KANBoost's raw probability outputs, not an artifact of one experimental setup. But with an honestly-selected (validation-derived, not test-leaked) threshold, KANBoost's classification metrics (accuracy/F1/MCC) come out in an exact three-way tie for best in the entire comparison, matching LightGBM and XGBoost and ahead of RandomForest, LogReg, HistGradientBoosting, and MLP — while its ROC AUC is second only to RandomForest. Threshold calibration isn't a marginal tweak here; it's the difference between mediocre and top-tier classification performance for KANBoost specifically.

A third, independent CV run on the same dataset (8 models including CatBoost, mean ± std over folds, log-loss added alongside Brier) confirms the pattern again, and sharpens it:

Model ROC AUC PR AUC F1 @ 0.5 Log loss Brier
KANBoost (tuned) 0.9960 0.9948 0.9309 0.3628 0.0971
LogReg (scaled) 0.9951 0.9939 0.9620 0.0796 0.0213
CatBoost 0.9947 0.9934 0.9474 0.0929 0.0257
XGBoost 0.9935 0.9914 0.9499 0.0967 0.0272
HistGradientBoosting 0.9928 0.9909 0.9464 0.1292 0.0285
LightGBM 0.9916 0.9898 0.9490 0.1501 0.0306
RandomForest 0.9904 0.9889 0.9430 0.1253 0.0336
MLP (scaled) 0.9855 0.9831 0.9284 0.2218 0.0580

This time KANBoost's ROC AUC and PR AUC are the highest of all 8 models — including CatBoost and LogReg. But log loss (which, unlike Brier, penalizes confidently-wrong probabilities heavily) is nearly 2x worse than the next-worst model (MLP) and 4-5x worse than the tree ensembles — the starkest evidence yet, across a third independent methodology, that KANBoost's ranking and its raw probability confidence are two very different things. The practical guidance stands regardless of which of these three runs you look at: trust the ranking, calibrate or threshold-tune before trusting the raw probability values.

Read these tables honestly: KANBoost does not consistently beat tuned tree boosting on accuracy or speed. The value proposition is interpretability and structural guarantees (monotonicity, exact additive decomposition, analytic derivatives) that trees and MLPs can't provide even in principle — not raw predictive performance.

Honest limitations

  • Speed: each weak learner is a full KAN forward/backward pass in pure PyTorch. This is currently far slower per-iteration than a histogram-based tree split in XGBoost/CatBoost/LightGBM -- and, per the Breast Cancer cross-validated benchmark above, prediction time is markedly slower too, not just training.
  • Probability calibration: predict_proba's ranking (AUC) is competitive with or ahead of tuned tree ensembles, but the raw probability values are comparatively miscalibrated out of the box (worst Brier score in the Breast Cancer benchmark above, with the per-fold F1-optimal threshold sitting well below the default 0.5). Tune the decision threshold or apply post-hoc calibration (Platt scaling/isotonic regression) before relying on classification metrics at the default cutoff.
  • Tuning: hyperparameters (kan_grid, kan_hidden, kan_steps, learning_rate) interact in ways that are not yet well understood; expect to need real tuning for your dataset.
  • Categorical encoding is a simple smoothed target-mean encoder, not CatBoost's ordered boosting scheme — it can leak on small folds if not used carefully.
  • Monotonic constraints require gam=True and kan_hidden=1 — the guarantee only holds for a pure additive ensemble; it can't be made sound through a hidden layer that mixes features.
  • Multiclass classification is one-vs-rest (independent binary chains combined via softmax), not a single joint softmax objective, and no user-pluggable custom loss functions yet (only squared-error/quantile for regression, logloss for classification).

Roadmap

See ROADMAP.md for the full project plan, including planned speed optimizations (FastKAN-style RBF basis, torch.compile), symbolic-formula extraction for the full ensemble, and benchmark expansion to standard UCI datasets.

Contributing

Issues and PRs welcome, especially:

  • speed optimizations for the per-iteration KAN fit
  • better categorical encoding
  • benchmark results on additional public datasets

License

MIT — see LICENSE.

Citation / related work

If you use this, please also cite the KAN paper and, where relevant, the GB-KAN paper this project is conceptually closest to:

Liu, Z., Wang, Y., Vaidya, S., et al. (2024). KAN: Kolmogorov-Arnold
Networks. arXiv:2404.19756.

[GB-KAN authors] (2026). Gradient Boosting with Interpretable
Kolmogorov-Arnold Networks. ICAART 2026.

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