Results 141 to 150 of about 441,203 (334)

AdaGrad avoids saddle points

, 2022
Adaptive first-order methods in optimization are prominent in machine learning and data science owing to their ability to automatically adapt to the landscape of the function being optimized. However, their convergence guarantees are typically stated in terms of vanishing gradient norms, which leaves open the issue of converging to undesirable saddle ...
Antonakopoulos, Kimon, Mertikopoulos, Panayotis, Piliouras, Georgios, Wang, Xiao   +3 more
openaire   +1 more source

New ideas in adjoint methods for PDEs : a saddle-point paradigm for finite element analysis and its role in the DPG methodology

, 2018
Brendan Keith
openalex   +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

Investigation on the Thermal Dissociation of Vinyl Nitrite with a Saddle Point Involved. [PDF]

ACS Omega, 2019
Guan Y, Lou J, Ma H, Song J.
europepmc   +1 more source

MC BTS: Simultaneously Resolving Magnetization Transfer Effect and Relaxation for Multiple Components

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To propose a signal acquisition and modeling framework for multi‐component tissue quantification that encompasses transmit field inhomogeneity, multi‐component relaxation and magnetization transfer (MT) effects. Theory and Methods By applying off‐resonance irradiation between excitation and acquisition within an RF‐spoiled gradient ...
Albert Jang, Hyungseok Jang, Nian Wang, Alexey Samsonov, Fang Liu   +4 more
wiley   +1 more source

On the negative coupling O(N) model in 2d at high temperature

Journal of High Energy Physics
In this work, I consider N-component scalar quantum field theory in two dimensions interacting with an upside-down quartic potential. Working in the large N limit, the model can be solved non-perturbatively using the saddle-point method for sufficiently ...
Paul Romatschke
doaj   +1 more source

Preconditioners for the geometry optimisation and saddle point search of molecular systems. [PDF]

Sci Rep, 2018
Mones L, Ortner C, Csányi G.
europepmc   +1 more source

Computational Analysis of Nodal/Saddle Stagnation Point Flow and Convective Heat Transfer by Showering of Gold and Zinc Particles

, 2022
Hassan Waqas, Muhammad Imran, Abida Shaheen, Mohsan Raza, Saima Rashid   +4 more
openalex   +1 more source

Early Detection of Neuroinflammation and White Matter Damage Following Dorsal Spinal Nerve Root Sectioning in a Nonhuman Primate Model

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Dorsal rhizotomy, or spinal dorsal nerve root lesioning, is a surgical procedure used to treat intractable nerve pain by selectively severing sensory afferent nerve roots. This study aimed to evaluate whether multiparametric MRI, including diffusion tensor imaging (DTI), quantitative magnetization transfer (qMT), chemical exchange ...
Feng Wang, John C. Gore, Li Min Chen
wiley   +1 more source

The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim, Sanghyun Lee, Mary F. Wheeler   +2 more
wiley   +1 more source