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	0.397
regularization.item	Float	LogUniform	1e-05 ≤ \(x\) ≤ 1	0.0229
damping.user	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	7.05
damping.item	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	18.8

Final Result

Searching selected the following configuration:

{
    'embedding_size_exp': 9,
    'regularization': {'user': 0.3968940346316714, 'item': 0.022922031117155444},
    'damping': {'user': 7.046887794620691, 'item': 18.81840526361956},
    'epochs': 3
}

With these metrics:

{
    'RBP': 0.023823028647493943,
    'DCG': 0.7540927676766077,
    'NDCG': 0.21172827698869,
    'RecipRank': 0.1051019215640897,
    'Hit10': 0.20634920634920634,
    'RMSE': 0.9165915846824646,
    'max_epochs': 30,
    'epoch_train_s': 1.4852916388772428,
    'epoch_measure_s': 0.38960870588198304,
    'done': False,
    'training_iteration': 3,
    'trial_id': '0e6de578',
    'date': '2025-09-30_17-38-27',
    'timestamp': 1759268307,
    'time_this_iter_s': 1.878904104232788,
    'time_total_s': 5.820883512496948,
    'pid': 402281,
    'hostname': 'CCI-ws21',
    'node_ip': '10.248.127.152',
    'config': {
        'embedding_size_exp': 9,
        'regularization': {'user': 0.3968940346316714, 'item': 0.022922031117155444},
        'damping': {'user': 7.046887794620691, 'item': 18.81840526361956},
        'epochs': 3
    },
    'time_since_restore': 5.820883512496948,
    'iterations_since_restore': 3
}

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?