Adapting language model architectures for time series forecasting

Tokenizing time series data and treating it like a language enables a model whose zero-shot performance matches or exceeds that of purpose-built models.

Time series forecasting is essential for decision making across industries such as retail, energy, finance, and health care. However, developing accurate machine-learning-based forecasting models has traditionally required substantial dataset-specific tuning and model customization.

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In a paper we have just posted to arXiv, we present Chronos, a family of pretrained time series models based on language model architectures. Like large language models or vision-language models, Chronos is a foundation model, which learns from large datasets how to produce general representations useful for a wide range of tasks.

The key insight behind Chronos is treating time series data as a language to be modeled by off-the-shelf transformer architectures. To tokenize real-valued time series observations into a fixed vocabulary, we scale the time series by its absolute mean and then quantize the scaled time series into a fixed number of uniformly spaced bins.

In addition to these bin tokens, we add two special tokens, PAD and EOS, to denote padding/missing values and end-of-sequence, respectively. We can then train standard language models like T5 on such a "language of time series" using the conventional cross-entropy loss function, with no changes to the model architecture itself.

A set of three flow charts, all progressing from top to bottom. Panel 1 is labeled "time series tokenization": We begin with regular squiggles, representing a signal; their amplitude is reduced, indicating mean scaling, and squares are superimposed on parts of the signal to represent quantized values; the quantized values are assigned to evenly spaced bins on a number line, then converted to fixed-value "context tokens".  Panel 2 is labeled "training": The context tokens from panel 1 enter a time series language model, which outputs predicted probabilities, represented as histograms on the same number-line bins; finally, cross-entropy loss leads to an output token (in this case, "2350"). Panel 3 is labeled "inference": the same context tokens enter the same time series language model as in panel 2, but the outputs are sampled tokens, which are dequantized and unscaled to produce the squiggles of a signal.
High-level depiction of Chronos. Left: Input time series is scaled and quantized to obtain a sequence of tokens. Center: The tokens are fed into a language model, which is trained using the cross-entropy loss. Right: During inference, tokens are sampled autoregressively from the model and mapped back to numerical values.

Despite its simplicity, Chronos is remarkably accurate. In a comprehensive evaluation involving 42 datasets, Chronos significantly outperformed classical statistical methods, as well as specialized deep-learning models, on data held out from its training sets. More important, on entirely new datasets, Chronos’s zero-shot performance was comparable and occasionally superior to that of models trained directly on those datasets.

A core strength of Chronos is its ability to leverage diverse time series data from different domains to improve generalization. To enhance the model’s robustness, we augmented the public data sources used for pretraining with randomly mixed-in real samples (TSMix) and with a synthetically generated dataset based on Gaussian processes (KernelSynth).

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The impressive zero-shot capabilities of Chronos position it as a viable "general-purpose" forecasting solution that simplifies deployment pipelines. Rather than training separate models for each bespoke application, practitioners can use an off-the-shelf Chronos model to make accurate forecasts immediately, reducing computation costs and making it easier to adopt advanced forecasting.

Despite Chronos’s strong empirical results, our exploration only scratches the surface of what we can achieve by aligning language modeling with time series forecasting. As the paper discusses, future research can explore more-sophisticated time series tokenization schemes, architectures tailored to serial data, and explicit incorporation of auxiliary features or domain knowledge.

The use of pretrained models for time series forecasting is an exciting frontier. By reformulating the forecasting task as a kind of language modeling, Chronos demonstrates a simpler path to general and accurate prediction. Moreover, Chronos will be able to seamlessly integrate future advances in the design of LLMs. We invite researchers and practitioners to engage with Chronos, now available open-source, and join us in developing the next generation of time series models.

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Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists at Amazon partner closely with senior management, business stakeholders, scientist and engineers, and economist leadership to solve key business problems ranging from Amazon Web Services, Kindle, Prime, inventory planning, international retail, third party merchants, search, pricing, labor and employment planning, effective benefits (health, retirement, etc.) and beyond. Amazon Economists build econometric models using our world class data systems and apply approaches from a variety of skillsets – applied macro/time series, applied micro, econometric theory, empirical IO, empirical health, labor, public economics and related fields are all highly valued skillsets at Amazon. You will work in a fast moving environment to solve business problems as a member of either a cross-functional team embedded within a business unit or a central science and economics organization. You will be expected to develop techniques that apply econometrics to large data sets, address quantitative problems, and contribute to the design of automated systems around the company.
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Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists at Amazon partner closely with senior management, business stakeholders, scientist and engineers, and economist leadership to solve key business problems ranging from Amazon Web Services, Kindle, Prime, inventory planning, international retail, third party merchants, search, pricing, labor and employment planning, effective benefits (health, retirement, etc.) and beyond. Amazon Economists build econometric models using our world class data systems and apply approaches from a variety of skillsets – applied macro/time series, applied micro, econometric theory, empirical IO, empirical health, labor, public economics and related fields are all highly valued skillsets at Amazon. You will work in a fast moving environment to solve business problems as a member of either a cross-functional team embedded within a business unit or a central science and economics organization. You will be expected to develop techniques that apply econometrics to large data sets, address quantitative problems, and contribute to the design of automated systems around the company.
US, WA, Seattle
Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists at Amazon partner closely with senior management, business stakeholders, scientist and engineers, and economist leadership to solve key business problems ranging from Amazon Web Services, Kindle, Prime, inventory planning, international retail, third party merchants, search, pricing, labor and employment planning, effective benefits (health, retirement, etc.) and beyond. Amazon Economists build econometric models using our world class data systems and apply approaches from a variety of skillsets – applied macro/time series, applied micro, econometric theory, empirical IO, empirical health, labor, public economics and related fields are all highly valued skillsets at Amazon. You will work in a fast moving environment to solve business problems as a member of either a cross-functional team embedded within a business unit or a central science and economics organization. You will be expected to develop techniques that apply econometrics to large data sets, address quantitative problems, and contribute to the design of automated systems around the company.
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Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists at Amazon partner closely with senior management, business stakeholders, scientist and engineers, and economist leadership to solve key business problems ranging from Amazon Web Services, Kindle, Prime, inventory planning, international retail, third party merchants, search, pricing, labor and employment planning, effective benefits (health, retirement, etc.) and beyond. Amazon Economists build econometric models using our world class data systems and apply approaches from a variety of skillsets – applied macro/time series, applied micro, econometric theory, empirical IO, empirical health, labor, public economics and related fields are all highly valued skillsets at Amazon. You will work in a fast moving environment to solve business problems as a member of either a cross-functional team embedded within a business unit or a central science and economics organization. You will be expected to develop techniques that apply econometrics to large data sets, address quantitative problems, and contribute to the design of automated systems around the company.
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Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists at Amazon partner closely with senior management, business stakeholders, scientist and engineers, and economist leadership to solve key business problems ranging from Amazon Web Services, Kindle, Prime, inventory planning, international retail, third party merchants, search, pricing, labor and employment planning, effective benefits (health, retirement, etc.) and beyond. Amazon Economists build econometric models using our world class data systems and apply approaches from a variety of skillsets – applied macro/time series, applied micro, econometric theory, empirical IO, empirical health, labor, public economics and related fields are all highly valued skillsets at Amazon. You will work in a fast moving environment to solve business problems as a member of either a cross-functional team embedded within a business unit or a central science and economics organization. You will be expected to develop techniques that apply econometrics to large data sets, address quantitative problems, and contribute to the design of automated systems around the company.
US, WA, Seattle
Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists at Amazon partner closely with senior management, business stakeholders, scientist and engineers, and economist leadership to solve key business problems ranging from Amazon Web Services, Kindle, Prime, inventory planning, international retail, third party merchants, search, pricing, labor and employment planning, effective benefits (health, retirement, etc.) and beyond. Amazon Economists build econometric models using our world class data systems and apply approaches from a variety of skillsets – applied macro/time series, applied micro, econometric theory, empirical IO, empirical health, labor, public economics and related fields are all highly valued skillsets at Amazon. You will work in a fast moving environment to solve business problems as a member of either a cross-functional team embedded within a business unit or a central science and economics organization. You will be expected to develop techniques that apply econometrics to large data sets, address quantitative problems, and contribute to the design of automated systems around the company.
US, WA, Seattle
Amazon.com strives to be Earth's most customer-centric company where customers can shop in our stores to find and discover anything they want to buy. We hire the world's brightest minds, offering them a fast paced, technologically sophisticated and friendly work environment. Economists in the Forecasting, Macroeconomics & Finance field document, interpret and forecast Amazon business dynamics. This track is well suited for economists adept at combining times-series statistical methods with strong economic analysis and intuition. This track could be a good fit for candidates with research experience in: macroeconometrics and/or empirical macroeconomics; international macroeconomics; time-series econometrics; forecasting; financial econometrics and/or empirical finance; and the use of micro and panel data to improve and validate traditional aggregate models. Economists at Amazon are expected to work directly with our senior management and scientists from other fields on key business problems faced across Amazon, including retail, cloud computing, third party merchants, search, Kindle, streaming video, and operations. The Forecasting, Macroeconomics & Finance field utilizes methods at the frontier of economics to develop formal models to understand the past and the present, predict the future, and identify relevant risks and opportunities. For example, we analyze the internal and external drivers of growth and profitability and how these drivers interact with the customer experience in the short, medium and long-term. We build econometric models of dynamic systems, using our world class data tools, formalizing problems using rigorous science to solve business issues and further delight customers.