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	0.127
regularization.item	Float	LogUniform	1e-05 ≤ \(x\) ≤ 1	0.0319
damping.user	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	8.25e-09
damping.item	Float	LogUniform	1e-12 ≤ \(x\) ≤ 100	3.05

Final Result

Searching selected the following configuration:

{
    'embedding_size_exp': 9,
    'regularization': {'user': 0.12720881694628106, 'item': 0.03193413440384729},
    'damping': {'user': 8.25385084467054e-09, 'item': 3.0462652993007437},
    'epochs': 4
}

With these metrics:

{
    'RBP': 0.015325934576731868,
    'DCG': 0.6470205695226469,
    'NDCG': 0.18166538154629294,
    'RecipRank': 0.06452764049284829,
    'Hit10': 0.14072847682119205,
    'RMSE': 0.8106752038002014,
    'max_epochs': 30,
    'epoch_train_s': 11.145907836034894,
    'epoch_measure_s': 3.00909839104861,
    'done': False,
    'training_iteration': 4,
    'trial_id': 'db4403fb',
    'date': '2025-09-30_15-03-03',
    'timestamp': 1759258983,
    'time_this_iter_s': 14.159525156021118,
    'time_total_s': 55.93441438674927,
    'pid': 250374,
    'hostname': 'CCI-ws21',
    'node_ip': '10.248.127.152',
    'config': {
        'embedding_size_exp': 9,
        'regularization': {'user': 0.12720881694628106, 'item': 0.03193413440384729},
        'damping': {'user': 8.25385084467054e-09, 'item': 3.0462652993007437},
        'epochs': 4
    },
    'time_since_restore': 55.93441438674927,
    'iterations_since_restore': 4
}

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?