This work studies the problem of modeling non-linear visual processes by learning linear generative models from observed sequences. We propose a joint learning framework, combining a Linear Dynamic System and a Variational Autoencoder with convolutional layers. After discussing several conditions for linearizing neural networks, we propose an architecture that allows Variational Autoencoders to...

operational variables of a mineral processing circuit are subjected to different variations. steady-statesimulation of processes provides an estimate of their ideal stable performance whereas their dynamicsimulation predicts the effects of the variations on the processes or their subsequent processes. in thispaper, a dynamic simulator containing some of the major equipment of mineral processing...

This paper describes the temporal music emotion recognition system developed at the University of Aizu for the Emotion in Music task of the MediaEval 2014 benchmark evaluation campaign. The arousal-valence trajectory prediction is cast as a time series filtering task and is modeled by a statespace models. These models include standard linear model (Kalman filter) as well as novel non-linear, no...

Semigroups of positivity preserving linear operators on measures of a measurable space X describe the evolutions of probability distributions of Markov processes on X. Their dual semigroups of positivity preserving linear operators on the space of measurable bounded functions B(X) on X describe the evolutions of averages over the trajectories of these Markov processes. In this paper we introduc...

This work proposes a dynamic PCA modeling method for dynamical non-linear processes. This method uses fault free data to construct data matrix used to compute the correlation matrix and faulty system data in order to fix the dynamic PCA model parameters (the time-lag and the number of principal components). It is shown that the sensitivity of dynamic PCA-based fault detection depends on the par...

To evaluate the earth seismic response due to earthquake effects, ground response analyses are used to predict ground surface motions for development of design response spectra, to compute dynamic stresses and strains for evaluation of liquefaction hazards, and to determine the earthquake induced forces that can lead to instability of earth and earth-retaining structures. Most of the analytical...

We consider the problem of controlling a Linear Quadratic Regulator (LQR) system over finite horizon $T$ with fixed and known cost matrices $Q,R$, but unknown non-stationary dynamics $\{A_t, B_t\}$. The sequence can be arbitrary, total variation, $V_T$, assumed to $o(T)$ controller. Under assumption that stabilizing, potentially sub-optimal controllers is available for all $t$, we present an al...