Transformation of Quasiconvex Functions to Eliminate Local Minima
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1223-7
Abstract: Quasiconvex functions present some difficulties in global optimization, because their graph contains “flat parts”; thus, a local minimum is not necessarily the global minimum. In this paper, we show that any lower semicontinuous quasiconvex function… read more here.
Keywords: quasiconvex function; global minimum; quasiconvex functions; local minima ... See more keywords
Fixed points of symmetric complex-valued Hopfield neural networks
Sign Up to like & getrecommendations! Published in 2018 at "Neurocomputing"
DOI: 10.1016/j.neucom.2017.05.006
Abstract: Abstract A complex-valued Hopfield neural network (CHNN) is a model of a multistate Hopfield neural network, and has been applied to the storage of multilevel data. Weak noise tolerance, however, is a disadvantage of CHNNs.… read more here.
Keywords: valued hopfield; minima; local minima; complex valued ... See more keywords
The glassy solid as a statistical ensemble of crystalline microstates
Sign Up to like & getrecommendations! Published in 2020 at "npj Computational Materials"
DOI: 10.1038/s41524-020-0329-2
Abstract: We present an alternative and, for the purpose of non-crystalline materials design, a more suitable description of covalent and ionic glassy solids as statistical ensembles of crystalline local minima on the potential energy surface. Motivated… read more here.
Keywords: ensemble crystalline; statistical ensemble; solid statistical; local minima ... See more keywords
Local Minima in Factor Rotations
Sign Up to like & getrecommendations! Published in 2022 at "Multivariate Behavioral Research"
DOI: 10.1080/00273171.2021.2011697
Abstract: When conducting an exploratory factor analysis (EFA), researchers often perform factor rotations using automatic (computerized) algorithms–-such as varimax and oblimin–-to locate psychologically compelling factor patterns. Although it has been known for many years that popular… read more here.
Keywords: local minima; rotation; factor; factor rotations ... See more keywords
Triplets of local minima in a high-dimensional random landscape: correlations, clustering, and memoryless activated jumps
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/adbe40
Abstract: We compute the distribution of triplets of stationary points in the energy landscape of the spherical p-spin model, by evaluating the quenched three-point complexity by means of the Kac–Rice formalism. We show the occurrence of… read more here.
Keywords: triplets local; minima high; stationary points; activated jumps ... See more keywords
Social Balance on Networks: Local Minima and Best Edge Dynamics
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.034321
Abstract: Structural balance theory is an established framework for studying social relationships of friendship and enmity. These relationships are modeled by a signed network whose energy potential measures the level of imbalance, while stochastic dynamics drives… read more here.
Keywords: social balance; local minima; balance; edge dynamics ... See more keywords
Viscoelastic Fluid-Inspired Swarm Behavior to Reduce Susceptibility to Local Minima: The Chain Siphon Algorithm
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Robotics and Automation Letters"
DOI: 10.1109/lra.2021.3128705
Abstract: We present a novel distributed robotic swarm algorithm inspired by the open channel siphon phenomenon displayed in certain viscoelastic fluids. Self-siphoning viscoelastic fluids are often able to mitigate the trapping effects of local minima in… read more here.
Keywords: minima; susceptibility local; swarm; local minima ... See more keywords
Virtual Image-Based Visual Servoing
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Automation Science and Engineering"
DOI: 10.1109/tase.2025.3631649
Abstract: The classical image-based visual servoing (IBVS) methods exhibit strong robustness to robot modeling and camera calibration errors, but suffer from uncontrollable spatial trajectories and local convergence issues. Although current IBVS variants employ specialized visual features… read more here.
Keywords: visual servoing; image; image based; virtual image ... See more keywords
Spurious Local Minima in Power System State Estimation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Control of Network Systems"
DOI: 10.1109/tcns.2019.2920586
Abstract: The power system state estimation problem computes the set of complex voltage phasors given quadratic measurements using nonlinear least squares. This is a nonconvex optimization problem, so even in the absence of measurement errors, local… read more here.
Keywords: state estimation; local minima; minima; spurious local ... See more keywords
Effect of Depth and Width on Local Minima in Deep Learning
Sign Up to like & getrecommendations! Published in 2019 at "Neural Computation"
DOI: 10.1162/neco_a_01195
Abstract: In this paper, we analyze the effects of depth and width on the quality of local minima, without strong overparameterization and simplification assumptions in the literature. Without any simplification assumption, for deep nonlinear neural networks… read more here.
Keywords: overparameterization; local minima; depth width; neural networks ... See more keywords
Acoustic Streaming Efficiency in a Microfluidic Biosensor with an Integrated CMUT
Sign Up to like & getrecommendations! Published in 2023 at "Micromachines"
DOI: 10.3390/mi14051012
Abstract: The effect of microchannel height on acoustic streaming velocity and capacitive micromachined ultrasound transducer (CMUT) cell damping was investigated. Microchannels with heights ranging from 0.15 to 1.75 mm were used in experiments, and computational microchannel… read more here.
Keywords: acoustic streaming; local minima; streaming; microchannel heights ... See more keywords