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In this article, a new model based on techniques of differential equations is introduced to predict the athletic performance based training load and a data sample of the physical form of athletes arises. This model is an extension of the…

经典分析与常微分方程 · 数学 2016-12-28 Marcos Matabuena , Rosana Rodriguez

We combine power-meter measurements with GPS measurements to study the model that accounts for the use of power by a cyclist. The model takes into account the change in elevation and speed along with adverse effects of air, rolling and…

科普物理 · 物理学 2021-03-18 Tomasz Danek , Michael A. Slawinski , Theodore Stanoev

Professional sports are developing towards increasingly scientific training methods with increasing amounts of data being collected from laboratory tests, training sessions and competitions. In cycling, it is standard to equip bicycles with…

机器学习 · 计算机科学 2018-08-02 Agrin Hilmkil , Oscar Ivarsson , Moa Johansson , Dan Kuylenstierna , Teun van Erp

Power-meter measurements together with GPS measurements are used to study the model that accounts for the use of power by a cyclist. The focus is on estimating the coefficients of the air, rolling and drivetrain resistance, uncertainties of…

科普物理 · 物理学 2020-05-12 Tomasz Danek , Michael A. Slawinski , Theodore Stanoev

This paper formulates optimal pacing of a cyclist on hilly terrain time-trials as a minimum-time optimal control problem. Maximal power of a cyclist serves as a time-varying constraint and depends on fatigue and recovery which are captured…

系统与控制 · 电气工程与系统科学 2021-10-29 Faraz Ashtiani , Vijay Sarthy M Sreedhara , Ardalan Vahidi , Randolph Hutchison , Gregory Mocko

In trajectory forecasting tasks for traffic, future output trajectories can be computed by advancing the ego vehicle's state with predicted actions according to a kinematics model. By unrolling predicted trajectories via time integration…

机器人学 · 计算机科学 2024-09-10 Laura Zheng , Sanghyun Son , Jing Liang , Xijun Wang , Brian Clipp , Ming C. Lin

Power-meter measurements are used to study a model that accounts for the use of power by a cyclist. The focus is on relations between rates of change of model quantities, such as power and speed, both in the context of partial derivatives,…

科普物理 · 物理学 2020-12-25 Tomasz Danek , Michael A. Slawinski , Theodore Stanoev

In contrast to most scientific disciplines, sports science research has been characterized by comparatively little effort investment in the development of relevant phenomenological models. Scarcer yet is the application of said models in…

计算机视觉与模式识别 · 计算机科学 2013-06-21 Ognjen Arandjelovic

Predicting cycling duration for a given route is essential for training planning and event preparation. Existing solutions rely on physics-based models that require extensive parameterization, including aerodynamic drag coefficients and…

机器学习 · 计算机科学 2026-01-08 Francisco Aguilera Moreno

We investigate the dynamics of a bicycle on an uneven mountain bike track split into straight sections with small jumps (kickers) and banked corners. A basic bike-rider model is proposed and used to derive equations of motion, which capture…

系统与控制 · 电气工程与系统科学 2023-11-14 Julian Golembiewski , Marcus Schmidt , Benedikt Terschluse , Thomas Jaitner , Thomas Liebig , Timm Faulwasser

Personalised rehabilitation can be key to promoting gait independence and quality of life. Robots can enhance therapy by systematically delivering support in gait training, but often use one-size-fits-all control methods, which can be…

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

机器学习 · 计算机科学 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Models for human running performances of various complexities and underlying principles have been proposed, often combining data from world record performances and bio-energetic facts of human physiology. Here we present a novel, minimal…

定量方法 · 定量生物学 2019-03-06 Matthew Mulligan , Guillaume Adam , Thorsten Emig

Though athletics statistics are abundant, it is a difficult task to quantitatively compare performances from different events of track, field, and road running in a meaningful way. There are several commonly-used methods, but each has its…

应用统计 · 统计学 2014-08-27 Brian Godsey

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

机器学习 · 计算机科学 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Athletic performance follows a typical pattern of improvement and decline during a career. This pattern is also often observed within-seasons, as an athlete aims for their performance to peak at key events such as the Olympic Games or World…

应用统计 · 统计学 2026-01-12 M. Spyropoulou , J. G. Hopker , J. E. Griffin

Recent results in Reinforcement Learning (RL) have shown that agents with limited training environments are susceptible to a large amount of overfitting across many domains. A key challenge for RL generalization is to quantitatively explain…

机器学习 · 计算机科学 2019-06-04 Xingyou Song , Yilun Du , Jacob Jackson

The information diffusion prediction on social networks aims to predict future recipients of a message, with practical applications in marketing and social media. While different prediction models all claim to perform well, general…

社会与信息网络 · 计算机科学 2025-01-16 Wenjin Xie , Xiaomeng Wang , Radosław Michalski , Tao Jia

Focusing on a specific crowd dynamics situation, including real life experiments and measurements, our paper targets a twofold aim: (1) we present a Bayesian probabilistic method to estimate the value and the uncertainty (in the form of a…

数据分析、统计与概率 · 物理学 2018-04-12 Alessandro Corbetta , Adrian Muntean , Federico Toschi , Kiamars Vafayi

Good models require good training data. For overparameterized deep models, the causal relationship between training data and model predictions is increasingly opaque and poorly understood. Influence analysis partially demystifies training's…

机器学习 · 计算机科学 2024-04-02 Zayd Hammoudeh , Daniel Lowd
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