TimesFM vs Laplace
TimesFM is a decoder-only, patched time-series transformer; we score version 2.5. Run zero-shot with a fixed 128-length context.
Resources: GitHub · Paper (arXiv 2310.10688)
Live snapshot Derived from the week-long round-robin study; counts grow as coverage deepens. Everything scores against Laplace on the identical series and windows.
Standalone
The model's own predictive, run zero-shot, scored per series against Laplace by a one-step-ahead (k=1) Diebold–Mariano test on the log-score differential.
| stratum | n | win / draw / loss vs Laplace | med ΔLL | CRPS ratio | cov₀₀ |
|---|---|---|---|---|---|
| economic change-series, business-daily | 1328 | -0.78 | 0.997 | 0.83 | |
| economic change-series, weekly | 2720 | -0.77 | 0.964 | 0.83 | |
| economic change-series, monthly (annual cycle) | 2720 | -0.75 | 0.951 | 0.80 | |
| M4 hourly, strongly seasonal | 414 | -0.51 | 0.994 | 0.82 | |
| asset prices and returns, daily | 1392 | -0.68 | 1.016 | 0.80 |
Median per-series Δ log-likelihood in nats (negative is worse than Laplace); CRPS ratio to Laplace (above 1 is worse); raw central-90% coverage (0.90 target).
Star plot
TimesFM standalone against Laplace, on the same six regime axes as the site's
standalone radar. Each radius is the log-likelihood
ratio, (wins + ½·ties) / n scaled so an even split with
Laplace sits on the dashed 1.0 ring; outward beats Laplace more often, inward less. The
M4-hourly set splits into soft and hard waveforms by corpus order, matching that radar.
Collaborative use
Two collaborative arms wrap TimesFM's own predictive. @lap
lets Laplace forecast the model's normal scores, which fixes coverage; &lap
holds Laplace and that wrap in a long-only online portfolio, so the blend is never
much worse than Laplace alone. The recalibration pulls raw coverage back toward the
0.90 target, and the portfolio collapses the loss rate against Laplace.
| stratum | raw cov | @lap cov | raw loss | &lap loss |
|---|---|---|---|---|
| economic change-series, business-daily | 0.83 | 0.92 | 52% | 31% |
| economic change-series, weekly | 0.83 | 0.90 | 43% | 15% |
| economic change-series, monthly (annual cycle) | 0.80 | 0.91 | 38% | 6% |
| M4 hourly, strongly seasonal | 0.82 | 0.91 | 37% | 1% |
| asset prices and returns, daily | 0.80 | 0.92 | 43% | 5% |
Central-90% coverage (0.90 target) and the fraction of series where the arm loses to Laplace by a Diebold–Mariano test.
Protocol
Fixed 128-length context, rolling one-step test window, no fitting, each model in its own environment. Strata split the cached FRED universe and the M4-hourly set by frequency and regime. Full method on the sidecar pattern page and in the methodology.
Architecture and methodology
TimesFM is a decoder-only transformer in the style of a language model. It splits the context into fixed-length patches, treats each patch as a token, and is pretrained on a large corpus of real and synthetic series. This study scores version 2.5 (200M parameters) with its continuous quantile head, which emits the predictive spread directly.