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Search Spaces by Model Family

Reference for hyperparameter-search-planner · 66 lines

AI & Machine Learning / Classical Machine Learningv1.0.0Updated OCT 25 20263 references2 scripts
FamilyParameterRangeScaleNotes
Logistic regressionC1e-4 - 1e2logsolver="saga" for l1/elasticnet; scale features
penaltyl1, l2, elasticnet (+ l1_ratio 0.05-0.95)catconditional l1_ratio
Ridge / Lasso / ElasticNetalpha1e-5 - 1e1logRidgeCV/LassoCV do this cheaply
SVM (RBF)C1e-2 - 1e3logtune with gamma jointly
gamma1e-4 - 1e1log"scale" is a good centre
k-NNn_neighbors3 - 100log intweights uniform/distance; scale features
Random forestmax_features0.1 - 0.8 (or sqrt/log2)linmost important RF knob
min_samples_leaf1 - 50log intregularisation
max_depthNone, 8, 16, 32catusually None + leaf size
n_estimatorsfixed 300-500-more trees never hurt accuracy
HistGradientBoostinglearning_rate0.02 - 0.3logwith early_stopping=True
max_leaf_nodes8 - 128log intcapacity
min_samples_leaf5 - 300log intscale with data size
l2_regularization1e-4 - 10log
LightGBMnum_leaves7 - 255log intcapacity
min_child_samples5 - 500log int~0.1-1% of rows
subsample (+ subsample_freq=1)0.5 - 1.0lin
colsample_bytree0.3 - 1.0lin
reg_lambda / reg_alpha1e-3 - 30 / 1e-3 - 10log
XGBoostmax_depth3 - 10int
min_child_weight1 - 50log
gamma1e-3 - 5log
CatBoostdepth4 - 9int
l2_leaf_reg1 - 20log
random_strength0.1 - 10log
MLPhidden units16 - 512log int1-3 layers
alpha (L2)1e-6 - 1e-1log
learning_rate_init1e-4 - 1e-2logearly_stopping=True
  • Number of boosting rounds: early stopping.
  • Learning rate for GBMs during search: fixed (0.05-0.1), lowered for the final fit.
  • random_state, n_jobs, verbosity.
  • Forest size: as many trees as time allows.

Conditional spaces (Optuna)

python
def objective(trial):
    model_type = trial.suggest_categorical("model", ["logreg", "hgb"])
    if model_type == "logreg":
        penalty = trial.suggest_categorical("penalty", ["l1", "l2", "elasticnet"])
        l1_ratio = trial.suggest_float("l1_ratio", 0.05, 0.95) if penalty == "elasticnet" else None
        C = trial.suggest_float("C", 1e-4, 1e2, log=True)
        ...
    else:
        lr = trial.suggest_float("learning_rate", 0.02, 0.3, log=True)
        ...
  1. Coarse: wide log ranges, 30-60 random/TPE trials, possibly on a data sample.
  2. Analyse: drop insensitive parameters; widen ranges at boundaries.
  3. Fine: narrower ranges around the best region, full data, 30-100 trials.

Preprocessing in the space

Pipelines let you tune preprocessing too (prep__num__imputer__strategy, select__k, prep__cat__onehot__min_frequency). Include it only if it matters; each added dimension costs trials.

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