ALS BiasedMF

This page analyzes the hyperparameter tuning results for biased matrix factorization with ALS.

Parameter Search Space

Parameter	Type	Distribution	Values	Selected
embedding_size_exp	Integer	Uniform	3 ≤ \(x\) ≤ 10	9
regularization.user	Float	LogUniform	1e-05 ≤ \(x\) ≤ 1	0.367
regularization.item	Float	LogUniform	1e-05 ≤ \(x\) ≤ 1	0.00622
damping.user	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	38.9
damping.item	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	1.83e-11

Final Result

Searching selected the following configuration:

{
    'embedding_size_exp': 9,
    'regularization': {'user': 0.3668378993142183, 'item': 0.006219227061483342},
    'damping': {'user': 38.8642624310209, 'item': 1.8255907394413952e-11},
    'epochs': 6
}

With these metrics:

{
    'RBP': 0.05523347798821119,
    'DCG': 9.63330762244665,
    'NDCG': 0.35687021161606486,
    'RecipRank': 0.09677467755210865,
    'Hit10': 0.37797979797979797,
    'RMSE': 0.7656736373901367,
    'max_epochs': 30,
    'epoch_train_s': 102.25948791089468,
    'epoch_measure_s': 102.1872130590491,
    'done': True,
    'training_iteration': 6,
    'trial_id': '47efdb6a',
    'date': '2025-10-01_03-06-58',
    'timestamp': 1759302418,
    'time_this_iter_s': 204.45267152786255,
    'time_total_s': 1151.6100106239319,
    'pid': 819214,
    'hostname': 'CCI-ws21',
    'node_ip': '10.248.127.152',
    'config': {
        'embedding_size_exp': 9,
        'regularization': {'user': 0.3668378993142183, 'item': 0.006219227061483342},
        'damping': {'user': 38.8642624310209, 'item': 1.8255907394413952e-11},
        'epochs': 6
    },
    'time_since_restore': 1151.6100106239319,
    'iterations_since_restore': 6
}

Parameter Analysis

Embedding Size

The embedding size is the hyperparameter that most affects the model’s fundamental logic, so let’s look at performance as a fufnction of it:

Learning Parameters

Iteration Completion

How many iterations, on average, did we complete?

How did the metric progress in the best result?

How did the metric progress in the longest results?