Results 51 to 60 of about 167,440,803 (249)
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Approximations of continuous Newton's method: An extension of Cayley's problem
Electronic Journal of Differential Equations, 2007 Continuous Newton's Method refers to a certain dynamical system whose associated flow generically tends to the roots of a given polynomial. An Euler approximation of this system, with step size $h=1$, yields the discrete Newton's method algorithm for ...
Jon Jacobsen, Owen Lewis, Bradley Tennis
doaj
Efficient Newton-Type Solvers Based on for Finding the Solution of Nonlinear Algebraic Problems
AxiomsThe purpose of this study is to improve the computational efficiency of solvers for nonlinear algebraic problems with simple roots. To this end, a multi-step solver based on Newton’s method is utilized.
Haifa Bin Jebreen +2 more
doaj +1 more source
Advanced Intelligent Discovery, EarlyView.Materials informatics and autonomous experimentation are transforming the discovery of organic molecular crystals. This review presents an integrated molecule–crystal–function–optimization workflow combining machine learning, crystal structure prediction, and Bayesian optimization with robotic platforms.
Takuya Taniguchi +2 more
wiley +1 more source
Basins of Attraction of a Nonlinear Nanomechanical Resonator [PDF]
, 2007 We present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution.
Husain, A. +4 more
core +2 more sources
Particle Swarm Optimization as a Noise‐Tolerant Strategy for High‐Entropy Alloy Research
Advanced Intelligent Discovery, EarlyView.A customized particle swarm optimization algorithm is benchmarked against batch Bayesian optimization across four high‐entropy alloy oxygen‐reduction landscapes. While both methods locate the global optimum comparably under noise‐free conditions, Bayesian optimization’s surrogate model tends to overfit noisy data.
Ahmad Tirmidzi +2 more
wiley +1 more source
Potential energy landscape and robustness of a gene regulatory network: toggle switch. [PDF]
PLoS Computational Biology, 2007 Finding a multidimensional potential landscape is the key for addressing important global issues, such as the robustness of cellular networks. We have uncovered the underlying potential energy landscape of a simple gene regulatory network: a toggle ...
Keun-Young Kim, Jin Wang
doaj +1 more source
Dynamic Cell Mapping Algorithm for Computing Basins of Attraction in Planar Filippov Systems [PDF]
, 2017 Discontinuities are a common feature of physical models in engineering and biological systems, e.g. stick-slip due to friction, electrical relays or gene regulatory networks.
ERAZO ORDONEZ, CHRISTIAN CAMILO +10 more
core +1 more source
Basins of Attraction for Pulse-Coupled Oscillators
, 2014 Basins of attraction for forward invariant sets can carve out portions of phase space where one can make predictions for asymptotic dynamics. We present com- putational algorithms for computing inner approximations of basins of attraction for discrete ...
Gryder, Ryan
core +1 more source
Relative distances separating attraction basins.
, 2013 Relative distances separating attraction basins, when the state of the boundary node rga is free (absence of gibberellin) and when its state is fixed to (presence of gibberellin).
Eric Goles (362685) +4 more
core +1 more source