# ReLoop: A Self-Correction Continual Learning Loop for Recommender Systems

## ReLoop

# Introduction

Models deployed to production often undergo re-training to learn from new user behaviors and improve the predictions. This training loop is demonstrated in the figure below,

Training data is collected from user's implicit feedback such as clicked items as positives and viewed but not clicked as negatives

Ranking model is trained on the collected data

Production model is updated with the new model

Updated production model is used for online inference and the newly received user feedback is logged

In a regular (re)training loop, steps 1-4 are repeated, usually at some predetermined condition or frequency.

You can find the complete paper here. It is quite easy to read.

# Motivation Behind ReLoop

Humans learn not only from the newly gathered information but also from the mistakes made in the past. Can recommender systems do the same? This is the key question authors ask.

In the retraining process described above, the training loop only focuses on the freshly collected user data and does not consider the errors previous model made to improve its learning. This is what inspired the authors to design a training strategy which reflects and learns from the past errors as well.

"Our key insight is that a new model should be forced to make smaller prediction errors than the previous model versions on the same data samples, and thus achieves the ability of self correction."

The proposed approach ReLoop introduces a Self-Correction Module during model re-training to learn from previous mistakes.

# ReLoop Approach

ReLoop training strategy is presented in the figure below,

Note that

By introducing Self-Correction Module training loop couples the two successive training periods directly

The illustration and discussion below is presented in context of pCTR model but the technique is model agnostic.

The details of the Self-Correction Module are discussed below.

## Self-Correction Module

Self-Correction Module compares the prediction of `model@(t-1)`

and that of new `model@t`

with the ground truth and defines a Self-Correction Loss.

Let,

\(\tilde{y}_{last}\): be the prediction of the `model@(t-1)`

, currently in production

\(y\): be the ground truth observed in user logs

\(\hat{y}\): be the prediction of the new `model@t`

which is to be trained

For the case of positive label, i.e. \(y = 1\),

\(y - \hat{y}\): is the Current Error w.r.t. `model@t`

\(y - \tilde{y}_{last}\): is the Last Error w.r.t. `model@(t-1)`

To build a self-correcting system, training process@t should get lower error than the previous one. I.e.

$$y - \hat{y} \leq y - \tilde{y}_{last} \Leftrightarrow \tilde{y}_{last} - \hat{y} \leq 0$$

Similarly, for the case of positive label, i.e. \(y=0\), we get

$$\hat{y} - \tilde{y}_{last} \leq 0$$

These two conditions are combined to define the self-correction (SE) loss as,

$$\mathcal{L}_{sc} = y\times max(\tilde{y}_{last} - \hat{y}, 0) + (1-y)\times max(\hat{y} - \tilde{y}_{last}, 0)$$

## Training Strategy

For CTR prediction task the binary cross-entropy (CE) loss is defined as

$$\mathcal{L}_{ce} = -y\times log\ \hat{y} - (1-y)\times log\ (1-\hat{y})$$

ReLoop loss is formulated as sum of CE loss and SE loss as,

$$\mathcal{L} = \alpha \mathcal{L}_{sc} + (1-\alpha)\mathcal{L}_{ce}$$

where \(\alpha \in [0,1]\) is the hyper-parameter to adjust the importance of SC loss and CE loss.

Authors make a comparison of self-correction loss with Knowledge Distillation (KD) based training loss. KD loss is given by,

$$\mathcal{L}_{kd} = -\tilde{y}_{last}\times log\ \hat{y} - (1-\tilde{y}_{last})\times log(1-\hat{y})$$

A comparison of \(\mathcal{L}_{ce}\), \(\mathcal{L}_{sc}\) and \(\mathcal{L}_{kd}\) is shown in the figure below,

Note that \(\mathcal{L}_{sc}\) is activated only when current model performs worse off than the last model.

# Result Discussion

## Data

**Criteo**: is CTR prediction dataset. 45M instances, 13 numerical feature fields and 26 categorical fields.

**Avazu**: is a mobile ads dataset. 40M instances, 22 feature fields including advertisement attributes and user features.

**MovieLens**: 2M instances.

**Frappe** dataset is collected from a context-aware app discovery tool. 288k instances and 10 feature fields.

**Production** dataset. 500M instances and over 100 feature fields, sampled from an industrial news feed product.

## Baselines

ReLoop model is compared with SOTA approaches including FTRL (Follow The Regularized Leader), FM (Factorization Machines), NFM (Neural Factorization Machines), PNN (Product-Based Neural Network), Deep&Cross, Wide&Deep, DeepFM, xDeepFM, FmFM (Field-matrixed Factorization Machines), AFN+ (Adaptive Factorization Network), Distill.

## Metric

AUC and LogLoss are used as offline metrics.

CTR is used as online metric.

## Offline Results

In offline experiments ReLoop strategy beats other baselines on public datasets. ReLoop (RLP) training strategy is model agnostic but for comparison and experiments DCN and DeepFM backbones are used for training.

Knowledge Distillation (KD) strategy is the closest to RLP (ReLoop) in public dataset and these two are further on production data as well. It is found that ReLoop beats KD strategy on production data as well.

## Online Results

Online results show significant CTR improvement over baseline in A/B test.

Interestingly, authors also conduct A/A test and the online results report improvements on (A/B - A/A).

It is also shown that irrespective of the choice of \(\alpha\), the hyper-parameter to adjust the importance of self-correction loss and cross-entropy loss, ReLoop method performs better than baseline methods.

# Thoughts/Questions

It will be interesting to extend such a framework to cases where the new model is not a re-trained one but a new model altogether, e.g. a new architecture.

\(\mathcal{L}_{ce}\) and \(\mathcal{L}_{sc}\) losses are of different scales. In such a case, does convex combination makes sense?

How will this training strategy perform w.r.t. noisy labels and outliers? Will it force the re-training to over-fit on noise and outliers?