UCI WorldTour races, the premier men's elite road cycling tour, are grueling events that put riders' physical fitness and endurance to the test. The coaches of Team Jumbo-Visma have long been responsible for predicting the energy needs of each rider of the Dutch team for every race on the calendar. Those must be estimated to ensure riders have the energy and resources necessary to maintain a high level of performance throughout a race. This task, however, is both time-consuming and challenging, as it requires precise estimates of race speed and power output. Traditionally, the approach to predicting energy needs has relied on coaches' judgement and experience, but this method has its limitations and often leads to inaccurate predictions. In this paper, we propose a new, more effective approach to predicting energy needs for cycling races. By predicting the speed and power with regression models, we provide the coaches with calorie needs estimate for each individual rider per stage instantly. In addition, we compare methods to quantify uncertainty in estimating the speed and power of Team Jumbo-Visma riders for cycling races. The empirical analysis of the jackknife+, jackknife-minmax, jackknife-minmax-after-bootstrap, CV+, CV-minmax, conformalized quantile regression (CQR) and inductive conformal prediction (ICP) methods in conformal prediction reveals all methods except minmax based methods achieve valid prediction intervals while producing prediction intervals tight enough to be used for decision making. Furthermore, methods computing prediction intervals of fixed size produce significantly tighter intervals for low significance value. Among the methods computing intervals of varying length across the input space, namely the CQR and ICP methods, ICP computes tighter prediction intervals at larger significance level.
翻译:UCI WorldTour赛事是精英公路自行车锦标赛,对骑手的身体素质和耐力都是一项严峻的考验。荷兰Jumbo-Visma车队的教练一直负责预测每名骑手在赛历表中的每场比赛中的能量需求。这些需要被估计以确保骑手在比赛期间拥有足够的能量和资源以保持高水平的表现。然而,这项任务既耗时又具有挑战性,因为它需要精确估计比赛速度和功率输出。传统上,预测能量需求的方法依赖于教练的判断和经验,但这种方法存在局限性,通常导致不准确的预测结果。在本文中,我们提出了一种新的更有效的方法来预测自行车比赛的能量需求。通过预测回归模型的速度和功率,我们为教练提供每名个体骑手每个阶段所需卡路里的估计,几乎是瞬间完成。此外,我们比较了量化不确定性的方法来估计Jumbo-Visma车队骑手在自行车比赛中的速度和功率。关于一致性预测中的jackknife+,jackknife-minmax,jackknife-minmax-after-bootstrap,CV+,CV-minmax,conformalized quantile regression(CQR)和inductive conformal prediction (ICP)方法的实证分析表明,除了minmax方法外,所有方法都能产生有效的预测区间,并且产生足够紧的预测区间以供决策。此外,计算定长预测区间的方法在低显著性值下产生明显更紧的预测区间。在计算跨输入空间长度变化的区间的方法中,即CQR和ICP方法,ICP方法在更大的显著水平下产生更紧的预测区间。