Automatic detection of epileptic seizure from brain signal data (eg electroencephalogram
(EEG)) is very crucial due to dynamic and complex nature of EEG signal (eg non …

In this paper, we introduce VPNet, a novel model-driven neural network architecture based
on variable projection (VP). Applying VP operators to neural networks results in learnable …

An algorithm for compressive sensing reconstruction of signals in the Hermite expansion
domain is proposed. The compressive sensing problem is formulated in the Hermite …

The concentration and sparsity of signal representation in the Hermite transform (HT) basis
may highly depend on a properly chosen scaling factor and discrete time shift parameter. In …

In this paper we consider systems of weakly interacting particles driven by colored noise in a
bistable potential, and we study the effect of the correlation time of the noise on the …

Nowadays, 3D images processing constitutes a challenging topic in many scientific fields
such as medicine, computational physics, informatics. Therefore, the construction of suitable …

In this paper, we propose an approach for the accurate rotation of a digital image using
Hermite expansions. This exploits the fact that if a 2-D continuous bandlimited Hermite …

We propose a numerical method to solve the Wigner equation in quantum systems of
spinless, non-relativistic particles. The method uses a spectral decomposition into L 2 (R d) …

The influence of an additive Gaussian noise on the discrete Hermite transform based signal
representation is analyzed. The Hermite coefficients of noisy signals are random Gaussian …

Favard's theorem characterizes bases of functions {pn} n∈ ℤ+ for which xp n (x) is a linear
combination of pn− 1 (x), pn (x), and pn+ 1 (x) for all n≥ 0 with p 0≡ 1 (and p− 1≡ 0 by …