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	Integer	LogUniform	4 ≤ \(x\) ≤ 512	182
regularization.user	Float	LogUniform	1e-05 ≤ \(x\) ≤ 1	0.135
regularization.item	Float	LogUniform	1e-05 ≤ \(x\) ≤ 1	0.0372
damping.user	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	1.38e-06
damping.item	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	4.15

Final Result

Searching selected the following configuration:

{
    'embedding_size': 182,
    'regularization': {'user': 0.13457932006936438, 'item': 0.03716261973856335},
    'damping': {'user': 1.3842050969711814e-06, 'item': 4.147629054926619},
    'epochs': 6
}

With these metrics:

{
    'RBP': 0.03617969967228035,
    'LogRBP': 0.4749828697903258,
    'NDCG': 0.30264294670384995,
    'RecipRank': 0.11096809011223152,
    'RMSE': 0.7983685081718532,
    'TrainTask': 'fba78a57-9449-4303-af1e-a9d8a497eec1',
    'TrainTime': None,
    'TrainCPU': None,
    'max_epochs': 30,
    'done': True,
    'training_iteration': 6,
    'trial_id': '2d29da02',
    'date': '2025-05-07_04-38-38',
    'timestamp': 1746607118,
    'time_this_iter_s': 272.09115052223206,
    'time_total_s': 1640.7825350761414,
    'pid': 157071,
    'hostname': 'CCI-ws21',
    'node_ip': '10.248.127.152',
    'config': {
        'embedding_size': 182,
        'regularization': {'user': 0.13457932006936438, 'item': 0.03716261973856335},
        'damping': {'user': 1.3842050969711814e-06, 'item': 4.147629054926619},
        'epochs': 6
    },
    'time_since_restore': 1640.7825350761414,
    '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?