Recurrent Solutions to Dynamics Inverse Problems: A Validation of MP Regression

Recurrent Solutions to Dynamics Inverse Problems: A Validation of MP Regression

In other words, we pose the problem of finding an autonomous discrete dynamical system over Rn with initial state X[0] and a dynamical function δ that is able to provide a given time series, as trajectory originated from a given initial point. When such a solution is found (possibly within an approximation threshold), we can say that a given trajectory in Rn is represented in terms of a suitabl...

Forward Dynamics Solutions to Multi - Modal Inverse Dynamics Problems

In human motion studies, inverse dynamics analysis is the standard technique used to gain insight into the net summation of all muscle activity at each joint. In the inverse dynamics method, the joint forces and joint moments of force are calculated from a prescribed movement. Since the segmental movements, in contrast to the internal forces, can be measured, this method is commonly applied for...

Solutions to Space-Time Inverse Problems

Inverse Dynamical Problems: An Algebraic Formulation Via MP Grammars

Metabolic P grammars are a particular class of multiset rewriting grammars introduced in the MP systems’ theory for modelling metabolic processes. In this paper, a new algebraic formulation of inverse dynamical problems, based on MP grammars and Kronecker product, is given, for further motivating the correctness of the LGSS (Log-gain Stoichiometric Stepwise) algorithm, introduced in 2010s for s...

Penalized solutions to functional regression problems

Recent technological advances in continuous biological monitoring and personal exposure assessment have led to the collection of subject-specific functional data. A primary goal in such studies is to assess the relationship between the functional predictors and the functional responses. The historical functional linear model (HFLM) can be used to model such dependencies of the response on the h...