A novel segmentation algorithm has been developed utilizing an absolutevalue smoothness penalty instead of the more common quadratic regularizer. This functional imposes a piece-wise constant constraint on the segmented data. Since the minimized energy is guaranteed to be convex, there are no problems with local minima and no complex continuation methods are necessary to find the unique global ...

Though the importance of CAD increases, the analog circuit design is still mostly done by experience. It is known that this is because of insufficient model quality, or quality of extracted parameter values. We have developed a new MOSFET model based on the drift-diffusion approximation. By comparing a conventional piece-wise model with our precise model, critical shortage of the conventional m...

Let D be a bounded domain in Rn such that ∂D is a union of a finite number of smooth hypersurfaces in general position. The asymptotics of the Fourier transform of a piece-wise smooth function f(x) with discontinuities of the first kind on ∂D, in particular of the characteristic function of D, is found in almost all directions. The results are based on our recent work on the singularities of th...

By exploring the geometry of the underlying constrained optimization, a finitely parameterized solution to the discrete time receding horizon linear quadratic control problem with a finite input constraint set is obtained. The resulting controller gives rise to a closed loop system which is piece-wise affine in the plant state. The switching regions are polytopes and are related to those obtain...

A long-range predictive control algorithm for nonlinear processes operating over a wide range is proposed and is based on the Takagi–Sugeno–Kang (TSK) piece-wise linear fuzzy modelling approach. The performance of the fuzzy modelling approach integrated with the proposed control algorithm to form an adaptive control scheme is examined using a series of experiments on a liquid level system and o...

This paper explores the complexity of deep feedforward networks with linear presynaptic couplings and rectified linear activations. This is a contribution to the growing body of work contrasting the representational power of deep and shallow network architectures. In particular, we offer a framework for comparing deep and shallow models that belong to the family of piecewise linear functions ba...

In discrete-time digital models of contact of vibrating objects stability and therefore control over system energy is an important issue. While numerical approximation is problematic in this context digital algorithms may meat this challenge when based on exact mathematical solution of the underlying equation. The latter may generally be possible under certain conditions of linearity. While a s...

In this paper, chaotic behavior study of a five-cells chopper when it is associated to a nonlinear load is reported. The model of such system is described by a piece-wise smooth six dimensional non-autonomous system. Then, some basic dynamical properties, such as Poincaré mapping, first return map and continuous spectrum are investigated to highlight the main characteristic of this particular c...

Survival analysis is applied to records for length of productive life of Angus cows, fitting several proportional hazards models. It is shown that a piece-wise Weibull model with a time-dependent stage effect can model the distinct annual culling pattern reasonably well. Analyses fitting a sire model suggest some genetic variability, with heritability estimates on the logarithmic scale ranging ...

This paper investigates the application of fuzzy model and generalised predictive control strategy for the construction of a model-based predictive fuzzy controller for non-linear processes. In this method a GPC controller is used with the Takagi Sugeno Kang (TSK) piece-wise fuzzy modeling approach in an adaptive strategy. The developed method is applied to control a continuous stirred tank rea...