Table 3 Summary of the predictive models.

From: Training load responses modelling and model generalisation in elite sports

Model

\(R^2\)

MAE

RMSE

Hyper parameters*

\(\text {DR}_I^*\)

0.206 ± 0.093

0.189 ± 0.055

0.225 ± 0.053

\(\overline{k_1} = - 3.95e{-}05, k_1 \in [- 4.85e{-}05; - 3.19e{-}05]\)

\(\overline{k_3} = - 7.75e{-}09, k_3 \in [- 4.01e{-}09; - 1.71e{-}08]\)

\(\overline{\tau _1} = 36.02, \tau _1 \in [25.82 ; 42.28]\), \(\overline{\tau _2} = 22.57, \tau _2 \in [14.58 ; 26]\), \(\overline{\tau _3} = 5.23, \tau _3 \in [4.33 ; 6.67]\)

\(\text {ENET}_I\)

0.150 ± 0.010

0.169 ± 0.020

0.197 ± 0.023

\({\overline{\alpha }} = 0.176, \alpha \in [0;0.6]\), \({\overline{\lambda }} = 0.273, \lambda \in [0;1]\)

\(\text {PCR}_I\)

0.164 ± 0.068

0.173 ± 0.025

0.201 ± 0.027

\(\overline{n \, comp} = 1.918, n \, comp \in [1;3]\)

\(\text {RF}_I\)

0.193 ± 0.074

0.170 ± 0.023

0.199 ± 0.024

\(\overline{m try} = 8.90, m try \in [1;17]\)

\(\text {ENET}_G\)

0.179 ± 0.063

0.150 ± 0.010

0.176 ± 0.012

\(\alpha = 0.28, \lambda = 0.02\)

\(\text {PCR}_G\)

0.17 ± 0.053

0.22 ± 0.044

0.259 ± 0.062

\(n comp = 3\)

\(\text {RF}_G\)

0.164 ± 0.069

0.163 ± 0.017

0.195 ± 0.017

\(m try = 16\)

  1. According to model families, criteria were averaged among folders and displayed with their standard deviation. For individual models, averaged values of hyper parameters are displayed along with lower and upper recorded values. The greatest performance among criteria is listed in bold type.
  2. *Indicates the \(\text {DR}_I\) as the reference model and specification of its averaged parameters.