Optimal Metamodeling to Interpret Activity-Based Health Sensor Data

Wearable sensors are revolutionizing the health monitoring and medical diagnostics arena. Algorithms and software platforms that can convert the sensor data streams into useful/actionable knowledge are central to this emerging domain, with machine learning and signal processing tools dominating this space. While serving important ends, these tools are not designed to provide functional relationships between vital signs and measures of physical activity. This paper investigates the application of the metamodeling paradigm to health data to unearth important relationships between vital signs and physical activity. To this end, we leverage neural networks and a recently developed metamodeling framework that automatically selects and trains the metamodel that best represents the data set. A publicly available data set is used that provides the ECG data and the IMU data from three sensors (ankle/arm/chest) for ten volunteers, each performing various activities over one-minute time periods. We consider three activities, namely running, climbing stairs, and the baseline resting activity. For the following three extracted ECG features – heart rate, QRS time, and QR ratio in each heartbeat period – models with median error of <25% are obtained. Fourier amplitude sensitivity testing, facilitated by the metamodels, provides further important insights into the impact of the different physical activity parameters on the ECG features, and the variation across the ten volunteers.

[1]  Nils Lid Hjort,et al.  Model Selection and Model Averaging , 2001 .

[2]  Héctor Pomares,et al.  mHealthDroid: A Novel Framework for Agile Development of Mobile Health Applications , 2014, IWAAL.

[3]  Jack P. C. Kleijnen,et al.  Statistical Techniques in Simulation , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[4]  Hasan Kurtaran,et al.  Application of response surface methodology in the optimization of cutting conditions for surface roughness , 2005 .

[5]  Alexandros A. Taflanidis,et al.  Kriging metamodeling for approximation of high-dimensional wave and surge responses in real-time storm/hurricane risk assessment , 2013 .

[6]  A. Messac,et al.  Predictive quantification of surrogate model fidelity based on modal variations with sample density , 2015 .

[7]  T. Simpson,et al.  Use of Kriging Models to Approximate Deterministic Computer Models , 2005 .

[8]  A. Messac,et al.  Adaptive Switching of Variable-Fidelity Models in Population-Based Optimization , 2015 .

[9]  Anna-Maria Rivas McGowan,et al.  The Design of Large-Scale Complex Engineered Systems: Present Challenges and Future Promise , 2012 .

[10]  H. Bozdogan,et al.  Akaike's Information Criterion and Recent Developments in Information Complexity. , 2000, Journal of mathematical psychology.

[11]  R. Haftka,et al.  Multiple surrogates: how cross-validation errors can help us to obtain the best predictor , 2009 .

[12]  Kazuomi Yamamoto,et al.  Efficient Optimization Design Method Using Kriging Model , 2005 .

[13]  K.,et al.  Nonlinear sensitivity analysis of multiparameter model systems , 1977 .

[14]  Christina L. Bloebaum,et al.  An end-user decision model with information representation for improved performance and robustness in complex system design , 2015 .

[15]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[16]  Søren Nymand Lophaven,et al.  DACE - A Matlab Kriging Toolbox, Version 2.0 , 2002 .

[17]  Andy J. Keane,et al.  Recent advances in surrogate-based optimization , 2009 .

[18]  K. P. Soman,et al.  An Efficient R-peak Detection Based on New Nonlinear Transformation and First-Order Gaussian Differentiator , 2011 .

[19]  R. L. Hardy Multiquadric equations of topography and other irregular surfaces , 1971 .

[20]  Luca Vogt Statistics For Spatial Data , 2016 .

[21]  T. W. Layne,et al.  A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models , 1998 .

[22]  Achintya Haldar,et al.  Probability, Reliability and Statistical Methods in Engineering Design (Haldar, Mahadevan) , 1999 .

[23]  Raphael T. Haftka,et al.  Surrogate-based Analysis and Optimization , 2005 .

[24]  M. Mongillo Choosing Basis Functions and Shape Parameters for Radial Basis Function Methods , 2011 .

[25]  C. Fortuin,et al.  Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I Theory , 1973 .