let's do it like they did in 1924 and draw forecasts by hand
Papers / Updated at: 2026-10-31

Baron et al. (2025): Efficiently Generating Correlated Sample Paths from Multi-step Time Series Foundation Models

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Source: https://arxiv.org/abs/2510.02224

DOI: https://doi.org/10.48550/arXiv.2510.02224

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Simple approach to turn the common quantiles of marginal forecast distributions into sample paths from a join forecast distribution. This is important as many time series (foundation) models return only quantiles which can’t answer complex questions about a span of several time steps in the forecast horizon.

Uses the approach described in section 3.2 of Learning Quantile Functions without Quantile Crossing for Distribution-free Time Series Forecasting (Park et al., 2021) to evaluate arbitrary quantile levels by interpolating between the known quantiles.