Music Recommender System Based using CRNN

Introduction and Objective:

In the digital era of music streaming, companies, such as Spotify and Pandora, are faced with the following challenge: can they provide users with relevant and personalized music recommendations amidst the ever-growing abundance of music and user data.

The objective of this paper is to implement a personalized music recommender system that takes user listening history as input and continually finds new music that captures individual user preferences.

This paper argues that a music recommendation system should vary from the general recommendation system used in practice since it should combine music feature recognition and audio processing technologies to extract music features, and combine them with data on user preferences.

The authors of this paper took a content-based music approach to build the recommendation system - specifically, comparing the similarity of features based on the audio signal.

The following two-method approach for building the recommendation system was followed:

1. Make recommendations including genre information extracted from classification algorithms.
2. Make recommendations without genre information.

The authors used convolutional recurrent neural networks (CRNN), which is a combination of convolutional neural networks (CNN) and recurrent neural network(RNN), as their main classification model.

Methods and Techniques:

Generally, a music recommender can be divided into three main parts: (I) users, (ii) items, and (iii) user-item matching algorithms. First, we generated users' music tastes based on their profiles. Second, item profiling includes editorial, cultural, and acoustic metadata were collected for listeners' satisfaction. Finally, we come to the matching algorithm that suggests recommended personalized music to listeners.

To classify music, the original music’s audio signal is converted into a spectrogram image. Using the image and the Short Time Fourier Transform (STFT), we convert the data into the Mel scale which is used in the CNN and CRNN models.

Mel Scale:

The scale of pitches that are heard by listeners, which translates to equal pitch increments.

Mel Scale on Spectrogram

Short Time Fourier Transform (STFT):

The transformation that determines the sinusoidal frequency of the audio, with a Hanning smoothing function. In the continuous case this is written as: [math]\displaystyle{ \mathbf{STFT}\{x(t)\}(\tau,\omega) \equiv X(\tau, \omega) = \int_{-\infty}^{\infty} x(t) w(t-\tau) e^{-i \omega t} \, d t }[/math]

where: [math]\displaystyle{ w(\tau) }[/math] is the Hanning smoothing function

Convolutional Neural Network (CNN):

A Convolutional Neural Network is a Neural Network that uses convolution in place of matrix multiplication for some layer calculations. By training the data, weights for inputs are updated to find the most significant data relevant to classification. These convolutional layers gather small groups of data and with kernels, and try to find patterns that can help find features in the overall data. The features are then used for classification. Padding is also used to maintain the data on the edges. The image on the left represents the mathematical expression of a convolution operation, while the right image demonstrates an application of a kernel on the data.

Convolution Operation

Example of Padding (white 0s) and Kernels (blue square)

Convolutional Recurrent Neural Network (CRNN):

Similar Neural Network as CNN, with the addition of a GRU, which is a Recurrent Neural Network (RNN). An RNN is used to treat sequential data, by reusing the activation function of previous nodes to update the output. A Gated Recurrent Unit (GRU) is used to store more long-term memory and will help train the early hidden layers.

Gated Recurrent Unit (GRU)

Diagram of General Recurrent Neural Network

Data Screening:

The authors of this paper used a publicly available music dataset made up of 25,000 30-second songs from the Free Music Archives which contain 16 different genres. The data is cleaned up by removing low audio quality songs, wrong labelled genre and those that has multiple genres. To ensure a balanced dataset, only 1000 songs each from the genres of classical, electronic, folk, hip-hop, instrumental, jazz and rock were used in the final model.

Data sorted by music genre

Implementation:

Modeling Neural Networks

As noted previously, both CNNs and CRNNs were used to model the data. The advantage of CRNNs is that they are able to model time sequence patterns in addition to frequency features from the spectrogram, allowing for greater identification of important features. Furthermore, feature vectors produced before the classification stage could be used to improve accuracy.

In implementing the neural networks, the Mel-spectrogram data was split up into training, validation, and test sets at a ratio of 8:1:1 respectively and labelled via one-hot encoding. This made it possible for the categorical data to be labelled correctly for binary classification. As opposed to classical stochastic gradient descent, the authors opted to use Adam optimization to update weights in the training phase. Binary cross-entropy was used as the loss function.

In both the CNN and CRNN models, the data was trained over 100 epochs with a binary cross-entropy loss function. Notable model specific details are below:

CNN

• Five convolutional layers with 3x3 kernel, stride 1, padding, batch normalization, and ReLU activation
• Max pooling layers
• The sigmoid function was used as the output layer

CRNN

• Four convolutional layers with 3x3 kernel, stride 1, padding, batch normalization, ReLU activation, and dropout rate 0.1
• Max pooling layers
• Two GRU layers
• The sigmoid function was used as the output layer

The CNN and CRNN architecture is also given in the charts below.

Implementation of CNN Model

Implementation of CRNN Model

Music Recommendation System

The recommendation system is computed by the cosine similarity of the extraction features from the neural network. Each genre will have a song act as a centre point for each class. The final inputs of the trained neural networks will be the feature variables. The featured variables will be used in the cosine similarity to find the best recommendations.

The values are between [-1,1], where larger values are songs that have similar features. When the user inputs five songs, those songs become the new inputs in the neural networks and the features are used by the cosine similarity with other music. The largest five cosine similarities are used as recommendations.

Cosine Similarity

Evaluation Metrics

Precision:

• The proportion of True Positives with respect to the predicted positive cases (true positives and false positives)
• For example, out of all the songs that the classifier predicted as Classical, how many are actually Classical?
• Describes the rate at which the classifier predicts the true genre of songs among those predicted to be of that certain genre

Recall:

• The proportion of True Positives with respect to the actual positive cases (true positives and false negatives)
• For example, out of all the songs that are actually Classical, how many are correctly predicted to be Classical?
• Describes the rate at which the classifier predicts the true genre of songs among the correct instances of that genre

F1-Score:

An accuracy metric that combines the classifier’s precision and recall scores by taking the harmonic mean between the two metrics:

F1-Score

Receiver operating characteristics (ROC):

• A graphical metric that is used to assess a classification model at different classification thresholds
• In the case of a classification threshold of 0.5, this means that if [math]\displaystyle{ P(Y = k | X = x) \gt 0.5 }[/math] then we classify this instance as class k
• Plots the true positive rate versus false positive rate as the classification threshold is varied

ROC Graph. Comparison of True Positive Rate and False Positive Rate

Area Under the Curve (AUC)

AUC is the area under the ROC in doing so, the ROC provides an aggregate measure across all possible classification thresholds.

In the context of the paper: When scoring all songs as [math]\displaystyle{ Prob(Classical | X=x) }[/math], it is the probability that the model ranks a random Classical song at a higher probability than a random non-Classical song.

Area under the ROC curve.

Results

Accuracy Metrics

The table below is the accuracy metrics with the classification threshold of 0.5.

True Positive / False Positive Chart

On average, CRNN outperforms CNN in true positive and false positive cases. In addition, it is very apparent that false positives are much more frequent for songs in the Instrumental genre, perhaps indicating that more pre-processing needs to be done for songs in this genre or that it should be excluded from analysis completely given how most music has instrumental components.

F1 Chart

On average, CRNN outperforms CNN in F1-score.

AUC Chart

On average, CRNN also outperforms CNN in AUC metric.

CRNN models that consider the frequency features and time sequence patterns of songs have a better classification performance through metrics such as F1 score and AUC when comparing to CNN classifier.

Evaluation of Music Recommendation System:

• A listening experiment was performed with 30 participants to access user responses to given music recommendations.
• Participants choose 5 pieces of music they enjoyed and the recommender system generated 5 new recommendations. The participants then evaluated the music recommendation by recording whether the song was liked or disliked.
• The recommendation system takes two approaches to the recommendation:
  • Method one uses only the value of cosine similarity.
  • Method two uses the value of cosine similarity and information on music genre.
• Perform test of significance of differences in average user likes between the two methods using a t-statistic:

Hypothesis test between method 1 and method 2

Comparing the two methods, [math]\displaystyle{ H_0: u_1 - u_2 = 0 }[/math], we have [math]\displaystyle{ t_{stat} = -4.743 \lt -2.037 }[/math], which demonstrates that the increase in average user likes with the addition of music genre information is statistically significant.

Conclusion:

Here are two main conclusions obtained from this paper:

- To increase the predictive capabilities of the music recommendation system, the music genre should be a key feature to analyze.

- To extract the song genre from a song’s audio signals and get overall better performance, CRNN’s are superior to CNN’s as they consider frequency in features and time sequence patterns of audio signals.

According to analyses in the paper, the authors also suggested adding other music features like tempo gram for capturing local tempo to improve the accuracy of the recommender system.

Critiques/ Insights:

1. The authors fail to give reference to the performance of current recommendation algorithms used in the industry; my critique would be for the authors to bench-mark their novel approach with other recommendation algorithms such as collaborative filtering to see if there is a lift in predictive capabilities.
2. The listening experiment used to evaluate the recommendation system only includes songs that are outputted by the model. Users may be biased if they believe all songs have come from a recommendation system. To remove bias, we suggest having 15 songs where 5 songs are recommended and 10 songs are set. With this in the user’s mind, it may remove some bias in response and give more accurate predictive capabilities.
3. They could go into more details about how CRNN makes it perform better than CNN, in terms of attributes of each network.
4. The methodology introduced in this paper is probably also suitable for movie recommendations. As music is presented as spectrograms (images) in a time sequence, and it is very similar to a movie.
5. The way of evaluation is a very interesting approach. Since it's usually not easy to evaluate the testing result when it's subjective. By listing all these evaluations' performance, the result would be more comprehensive. A practice that might reduce bias is by coming back to the participants after a couple of days and asking whether they liked the music that was recommended. Often times music "grows" on people and their opinion of a new song may change after some time has passed.
6. The paper lacks the comparison between the proposed algorithm and the music recommendation algorithms being used now. It will be clearer to show the superiority of this algorithm.
7. The GAN neural network has been proposed to enhance the performance of the neural network, so an improved result may appear after considering using GAN.
8. The limitation of CNN and CRNN could be that they are only able to process the spectrograms with single labels rather than multiple labels. This is far from enough for the music recommender systems in today's music industry since the edges between various genres are blurred.
9. according to the author, the recommender system is done by calculating the cosine similarity of extraction features from one music to another music. Is possible to represent it by Euclidean distance or p-norm distances?
10. In real-life application, most of the music software will have the ability to recommend music to the listener and ask do they like the music that was recommended. It would be a nice application by involving some new information from the listener.
11. This paper is very similar to another paper, written by Bruce Fewerda and Markus Schedl. Both papers are suggesting methods of building music recommendation systems. However, this paper recommends music based on genre, but the paper written by Fewerda and Schedl suggests a personality-based user modeling for music recommender systems.
12. Actual music listeners do not listen to one genre of music, and in fact listening to the same track or the same genre would be somewhat unusual. Could this method be used to make recommendations not on genre, but based on other catogories? (Such as the theme of the lyrics, the pitch of the singer, or the date published). Would this model be able to diffentiate between tracks of varying "lyric vocabulation difficulty"? Or would NLP algorithms be needed to consider lyrics?
13. This model can be applied to many other fields such as recommending the news in the news app, recommending things to buy in the amazon, recommending videos to watch in YOUTUBE and so on based on the user information.
14. Looks like for the most genres, CRNN outperforms CNN, but CNN did do better on a few genres (like Jazz), so it might be better to mix them together or might use CNN for some genres and CRNN for the rest.
15. Cosine similarity is used to find songs with similar patterns as the input ones from users. That is, feature variables are extracted from the trained neural network model before the classification layer, and used as the basis to find similar songs. One potential problem of this approach is that if the neural network classifies an input song incorrectly, the extracted feature vector will not be a good representation of the input song. Thus, a song that is in fact really similar to the input song may have a small cosine similarity value, i.e. not be recommended. In conclusion, if the first classification is wrong, future inferences based on that is going to make it deviate further from the true answer. A possible future improvement will be how to offset this inference error.