Leaderboards

fasterfastestoverallresidual-k_001residual-k_002residual-k_003residual-k_005residual-k_008residual-k_013residual-k_021residual-k_034special-k_001special-k_002special-k_003special-k_005special-k_008special-k_013special-k_021special-k_034univariate-k_001univariate-k_002univariate-k_003univariate-k_005univariate-k_008univariate-k_013univariate-k_021univariate-k_034

Accuracy and Speed of Some Short Term Automated Time-Series Forecasting Approaches (Python Packages only)

The Elo Ratings in this table are produced transparently in the repo timeseries-elo-ratings and based on k-step ahead prediction duels using live time series data. See METHODOLOGY.md for interpretation of Elo ratings. The table named univariate-k_002 refers to 2-step ahead prediction, and so forth. Residual leaderboards use so-called z-streams (as explained in An Introduction to Z-Streams).

There is some motivation in the blog post Fast Python Time-Series Forecasting. All algorithms utilized here can be called the same way using the TimeMachines Python package. However, as indicated in the table, some of these draw an important part of their functionality (if not all) from other packages such as Facebook Prophet, Statsmodels TSA, Flux, PmdArima, Uber Orbit and more. Take relative performance with with a grain of salt, since many packages don't intend completely autonomous use and some are aimed at longer term seasonal forecasts. If you have a suggestion for a package or technique that should be included, please file an issue or, even better, add a skater and make a pull request. There is a guide for contributors and a long list of popular time-series packages.

Some of these methods are used in real-time to provide free prediction to anyone who publishes public data using a community API explained at microprediction.com. See the example crawlers folder for examples of algorithms calling the timemachines package. See the knowledge center or contributor guide for instructions on publishing live data that can influence these ratings.

NameRatingGamesActiveSecondsDependencies
tsa_precision_d0_ensemble2331.033yes128.3statsmodels , timemachines
merlion_arima2241.017yes18.6timemachines
tsa_p3_d0_q12227.0158yes81.2statsmodels , timemachines
tsa_balanced_d0_ensemble2200.018yes154.6statsmodels , timemachines
divine_univariate2168.0155yes60.7divinity , timemachines
tsa_p2_d0_q12099.0303yes60.3statsmodels , timemachines
tsa_p2_d0_q02091.0137yes65.0statsmodels , timemachines
elo_faster_residual_precision_ensemble2088.0502yes24.4timemachines
elo_fastest_univariate_aggressive_ensemble2084.0617yes2.0timemachines
tsa_balanced_combined_ensemble2081.026yes274.7statsmodels , timemachines
elo_faster_univariate_aggressive_ensemble2080.0526yes28.2timemachines
tsa_p1_d0_q12075.0225yes33.4statsmodels , timemachines
tsa_p1_d0_q02073.0433yes23.4statsmodels , timemachines
elo_fastest_residual_precision_ensemble2057.0659yes1.5timemachines
elo_fastest_residual_aggressive_ensemble2040.0600yes1.0timemachines
elo_fastest_univariate_balanced_ensemble2026.0687yes1.9timemachines
sluggish_moving_average2025.0673yes0.0timemachines
elo_faster_univariate_balanced_ensemble2015.0437yes30.4timemachines
slowly_moving_average2014.0910yes0.0timemachines
orbit_lgt_122005.08yes44.9orbit-ml , timemachines
elo_faster_univariate_precision_ensemble1960.0560yes32.5timemachines
bats_trendy_arma1947.013yes989.6tbats , timemachines
pmd_univariate1931.0546yes7.2pmdarima , timemachines
divine_univariate_hypocratic_fast1930.083yes85.2divinity , timemachines
tsa_aggressive_d0_ensemble1909.016yes3262.6statsmodels , timemachines
elo_fastest_univariate_precision_ensemble1908.0910yes0.9timemachines
thinking_slow_and_fast1906.0887yes0.1timemachines
quick_precision_ema_ensemble1903.0832yes0.2timemachines
elo_fastest_residual_balanced_ensemble1892.0537yes0.8timemachines
divine_univariate_hypocratic_slow1889.098yes-0.1divinity , timemachines
elo_faster_residual_balanced_ensemble1886.0455yes26.6timemachines
darts_autoarima1885.012yes183.1darts , timemachines
bats_arma1883.013yes1865.6tbats , timemachines
aggressive_ema_ensemble1871.0718yes0.5timemachines
tsa_p3_d0_q01870.0174yes16.6statsmodels , timemachines
gk_basic_skater1870.05no1482.7greykite , timemachines
elo_faster_residual_aggressive_ensemble1866.0416yes40.5timemachines
tsa_precision_combined_ensemble1865.015yes3330.0statsmodels , timemachines
bats_damped_arma_bc1854.012no611.8tbats , timemachines
sk_ae1831.0720yes11.3sktime , timemachines
fbprophet_recursive1823.0119yes181.3prophet , timemachines
sk_autoarima1818.069yes67.8sktime , timemachines
sk_ae_add_damped1815.0707yes12.0sktime , timemachines
merlion_prophet1814.05yes32.6timemachines
thinking_slow_and_slow1809.0685yes0.1timemachines
quickly_moving_average1808.01000yes0.0timemachines
slow_aggressive_ema_ensemble1804.0818yes0.8timemachines
thinking_fast_and_slow1800.0712yes0.3timemachines
thinking_precision_ensemble1791.029yes1.1timemachines
bats_trendy_arma_bc1790.016yes858.2tbats , timemachines
rvr_quickly_hypocratic1789.0392yes0.4river , timemachines
tsa_aggressive_combined_ensemble1786.037yes197.5statsmodels , timemachines
bats_bc1775.020yes1040.2tbats , timemachines
fbprophet_univariate1759.0138yes76.2prophet , timemachines
fbprophet_exogenous_hypocratic1759.0169yes93.3prophet , timemachines
slow_precision_ema_ensemble1757.0664yes0.6timemachines
bats_trendy1755.022yes308.2tbats , timemachines
bats_trendy_bc1754.020yes385.3tbats , timemachines
pmd_exogenous_hypocratic1753.0610yes12.1pmdarima , timemachines
bats_fast1733.015yes825.2tbats , timemachines
dlm_univariate_a1727.017no-1.0pydlm , timemachines
sk_ae_add1696.01138yes24.2sktime , timemachines
sk_theta1692.0644yes0.9sktime , timemachines
quick_aggressive_ema_ensemble1691.0995yes0.6timemachines
fbprophet_exogenous1688.0114yes83.4prophet , timemachines
tsa_slowly_hypocratic_d0_ensemble1686.029yes1801.7statsmodels , timemachines
precision_ema_ensemble1684.0736yes0.5timemachines
darts_theta1677.044no1.3darts , timemachines
tsa_quickly_hypocratic_d0_ensemble1674.049yes138.8statsmodels , timemachines
bats_damped1660.06yes852.0tbats , timemachines
slow_balanced_ema_ensemble1658.0629yes0.2timemachines
fbprophet_known1637.0123yes82.7prophet , timemachines
darts_fft1633.056yes0.9darts , timemachines
suc_quick_aggressive_ema_ensemble1616.051yes8.6successor , timemachines
rvr_slowly_hypocratic1613.0358yes0.4river , timemachines
bats_arma_bc1607.019yes1333.8tbats , timemachines
fbprophet_cautious1604.0103yes79.8prophet , timemachines
pycrt_median_316000yes-2.0pycaret , timemachines
regress_change_on_first_known16000no-1.0timemachines
tsa_p1_d1_q016000no-1.0statsmodels , timemachines
tsa_p2_d1_q016000no-1.0statsmodels , timemachines
tsa_p3_d1_q016000no-1.0statsmodels , timemachines
sk_ae_mul_damped16000no-0.1sktime , timemachines
sk_ae_mul16000no-1.0sktime , timemachines
rvr_p3_d0_q016000no-1.0river , timemachines
rvr_aggressive_ensemble16000no-1.0river , timemachines
pycrt_mean_816000no-0.1pycaret , timemachines
pycrt_mean_316000no-0.7pycaret , timemachines
pycrt_median_3_full16000no-1.0pycaret , timemachines
darts_nbeats16000no-1.0darts , timemachines
quick_balanced_ema_ensemble1594.0656yes1.4timemachines
orbit_lgt_241563.05yes49.6orbit-ml , timemachines
tsa_balanced_theta_ensemble1560.0562yes4.3statsmodels , timemachines
darts_arima1555.055no10.3darts , timemachines
dlm_univariate_b1543.025no-1.0pydlm , timemachines
darts_four_theta1541.047yes1.3darts , timemachines
darts_prophet1540.016yes78.9darts , timemachines
fbprophet_univariate_hypocratic1507.0137yes88.7prophet , timemachines
merlion_mses1485.015yes49.6timemachines
tsa_aggressive_theta_ensemble1459.0931yes4.1statsmodels , timemachines
pycrt_median_81448.01yes2596.4pycaret , timemachines
balanced_ema_ensemble1445.0646yes0.5timemachines
bats_damped_bc1438.010yes365.3tbats , timemachines
fbprophet_exogenous_exogenous1414.0113yes459.0prophet , timemachines
tsa_precision_theta_ensemble1373.0568yes3.9statsmodels , timemachines
darts_exp_smoothing1372.088yes9.9darts , timemachines
suc_tsa_aggressive_d0_ensemble1371.06yes9.6successor , timemachines
fbprophet_cautious_hypocratic1360.076yes128.9prophet , timemachines
rvr_balanced_ensemble1356.0466yes0.6river , timemachines
rvr_p5_d0_q01327.0316yes0.1river , timemachines
bats_damped_arma1308.09yes1426.8tbats , timemachines
thinking_fast_and_fast1295.0715yes0.1timemachines
empirical_last_value1273.0535yes0.0timemachines
fbprophet_univariate_univariate_hypocratic1227.0108yes224.6prophet , timemachines
rvr_p2_d0_q01137.0441yes0.1river , timemachines
smdk_p5_d0_q3_n10001111.014yes304.2simdkalman , timemachines
rapidly_moving_average1108.0682yes0.0timemachines
suc_tsa_p2_d0_q11098.048yes10.1successor , timemachines
rvr_p8_d0_q01054.0445no0.0river , timemachines
rvr_p1_d0_q01025.0548yes0.0river , timemachines
nprophet_p2918.0147yes66.3neuralprophet , timemachines
nprophet_p5872.0194yes58.3neuralprophet , timemachines
nprophet_p3733.0218yes35.2neuralprophet , timemachines
nprophet_p8705.0214yes63.4neuralprophet , timemachines
nprophet_p8_hypocratic589.0164yes72.1neuralprophet , timemachines
smdk_p5_d0_q3_n1000_aggressive577.013yes168.9simdkalman , timemachines
nprophet_p2_hypocratic560.0165yes51.5neuralprophet , timemachines
nprophet_p5_hypocratic479.0286yes63.4neuralprophet , timemachines
nprophet_p1_hypocratic466.0173yes50.7neuralprophet , timemachines
nprophet_p3_hypocratic446.0199yes45.4neuralprophet , timemachines
nprophet_p1422.0174yes50.8neuralprophet , timemachines
smdk_p5_d0_q3_n500_aggressive257.032no61.6simdkalman , timemachines
smdk_p5_d0_q3_n500134.0133yes128.7simdkalman , timemachines