Mc. Nechyba et Ys. Xu, STOCHASTIC SIMILARITY FOR VALIDATING HUMAN CONTROL STRATEGY MODELS, IEEE transactions on robotics and automation, 14(3), 1998, pp. 437-451
Modeling dynamic human control strategy (HCS), or human skill in respo
nse to real-time sensing is becoming an increasingly popular paradigm
in many different research areas, such as intelligent vehicle systems,
virtual reality, and space robotics. Such models are often learned fr
om experimental data, and as such can be characterized despite the lac
k of a good physical model. Unfortunately, learned models presently of
fer few, if any, guarantees in terms of model fidelity to the training
data, This is especially true for dynamic reaction skills, where erro
rs can feed back on themselves to generate state and command trajector
ies uncharacteristic of the source process, Thus, we propose a stochas
tic similarity measure-based on hidden Markov model (HMM) analysis-cap
able of comparing and contrasting stochastic, dynamic, multidimensiona
l trajectories. This similarity measure is the first step in validatin
g a learned model's fidelity to its training data by comparing the mod
el's dynamic trajectories in the feedback loop to the human's dynamic
trajectories. In this paper, we first derive and demonstrate propertie
s of the similarity measure for stochastic systems, We then apply the
similarity measure to real-time human driving data by comparing differ
ent control strategies among different individuals. We show that the p
roposed similarity measure out performs the more traditional Bayes cla
ssifier in correctly grouping driving data from the same individual, F
inally, we illustrate how the similarity measure can be used in the va
lidation of models which are learned from experimental data, and how w
e can connect model validation and model learning to iteratively impro
ve our models of human control strategy.