Results 151 to 160 of about 219,337 (309)

A fully piecewise linear Hopfield neural network with simplified mixed-mode activation function: dynamic analysis and analog implementation [PDF]

Luis Carlos Lujano-Hernández, Jesús M. Muñoz‐Pacheco, Viet–Thanh Pham   +2 more
openalex   +1 more source

Piecewise linear approximate solution of fractional order non-stiff and stiff differential-algebraic equations by orthogonal hybrid functions [PDF]

, 2018
Seshu Kumar Damarla, Madhusree Kundu
openalex   +1 more source

Reliability Analysis of Load-sharing Systems using a Flexible Model with Piecewise Linear Functions [PDF]

, 2023
Shilpi Biswas, Ayon Ganguly, Debanjan Mitra   +2 more
openalex   +1 more source

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source

On piecewise linear approximation of quadratic functions

, 2000
The authors discuss piecewise linear approximation to an \(n\)-variate quadratic function. The approximation is linear on the simplices of a triangulation. The problem considered is the following. Given a quadratic polynomial, find the piecewise linear approximation such that the \(L^\infty\)-norm is below a certain tolerance and such that the number ...
Pottmann, Helmut, Krasauskas, R., Hamann, Bernd, Joy, Ken, Seibold, Wolfgang   +4 more
openaire   +2 more sources

Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani, Cristiana J. Silva, Guillaume Cantin   +2 more
wiley   +1 more source

A novel chaotic system with 11 piecewise linear functions and its analog circuit implementation [PDF]

, 2021
Jieyang Wang, Jiawu Yu, Huizhen Yan
openalex   +1 more source

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

Analysis of a Mathematical Model of Marital Satisfaction

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier, C. E. Garza‐Hume, M. C. Jorge   +2 more
wiley   +1 more source

A low-power VHF transceiver for airborne SAR with enhanced buried object detection using chirped signal processing. [PDF]

Sci Rep
Siddik Y, Hussein KFA, Esmaiel H, El-Samie FEA, Mubarak AS.   +4 more
europepmc   +1 more source