Lag-Llama: A New Open Source Foundation Model for Time Series Forecasting
A decoder only transformer model designed for zero-shot time series forecasting
Created on February 12|Last edited on February 13
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The development of models that can accurately predict future events based on past data is a continual goal. Among the newest entrants is Lag-Llama, a model designed for univariate probabilistic time series forecasting. This model stands out not just for its ability to forecast with precision but also for its robust zero-shot learning capabilities, demonstrating an impressive ability to handle datasets it was never explicitly trained on.
The Model
Lag-Llama, a decoder only transformer, is trained on a vast corpus of time series data from the Monash Time Series Repository. What makes it particularly noteworthy is its performance in predicting traffic patterns without having been exposed to the specific test datasets beforehand. This characteristic is a step forward in time series forecasting, where the ability to generalize and predict out-of-distribution data is highly valued.
At the heart of Lag-Llama’s is the lag features. These are essentially past values of a series used to predict future or current values, capturing the inherent temporal dependencies within the data. This approach is fundamental in time series analysis and allows the model to learn patterns like trends, seasonality, and cycles.
Another critical component of Lag-Llama is its distribution head. This innovative layer projects the model's learned features onto the parameters of a probability distribution, such as the Student's t-distribution, for the initial experiments. This mechanism enables the model to make probabilistic forecasts, estimating a range of possible outcomes and their likelihoods, rather than pinpointing a single deterministic prediction. The flexibility offered by this feature, with the potential for future expansion into more complex distributions, marks a significant step in handling the uncertainty and variability inherent in time series data. The preprocessing technique of value scaling also plays a pivotal role in the model's training process. It addresses the challenge of varying numerical magnitudes across different series by standardizing the data based on its mean and variance. This step ensures that the input data is uniformly represented, enhancing the model's training and prediction accuracy.
Results
Lag-Llama was evaluated for its zero-shot performance against a set of supervised learning baselines. Lag-Llama performed competitively in zero shot setting with many other fine-tuned models, showing its ability to effectively generalize from its training on a diverse time series corpus to completely unseen data.

Scaling to Success
The promising results of Lag-Llama in zero-shot scenarios present a clear indication of its potential as a foundation model for probabilistic time-series forecasting. The model not only competes with but in some cases surpasses, supervised baselines, highlighting the advantages of models trained on diverse datasets.
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Hi Brett, I presume this blog was made with the old version of the paper (https://arxiv.org/abs/2310.08278v2) -the results make me think so. Can you check the new version of the paper - https://arxiv.org/abs/2310.08278v3 that was updated on Feb 8? Thanks.
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