Results 71 to 80 of about 306,832 (290)
Saddle-point dynamics: conditions for asymptotic stability of saddle points [PDF]
This paper considers continuously differentiable functions of two vector variables that have (possibly a continuum of) min-max saddle points. We study the asymptotic convergence properties of the associated saddle-point dynamics (gradient-descent in the first variable and gradient-ascent in the second one).
arxiv
Fairness in Federated Learning: Trends, Challenges, and Opportunities
This survey delves into the intricate issues pertinent to fairness in federated learning , where various biasing factors can skew model performance. By systematically analyzing fairness‐aware strategies, evaluation metrics, and future directions, this work identifies pivotal research gaps in existing approaches and sheds light on both challenges and ...
Noorain Mukhtiar+2 more
wiley +1 more source
Actinoid tetroxide molecules AnO4 (An = Ac – Cm) are investigated by the multi‐configurational DMRG approach. The Natural Orbital Plots show the number of local An‐5f electrons, and thereby the oxidation states, at one glance. The 5f orbital's increasing energetic stability and spatial immersion in the actinide cores along the series of actinoids ...
Jun‐Bo Lu+5 more
wiley +1 more source
The Saddle Point Problem of Polynomials [PDF]
This paper studies the saddle point problem of polynomials. We give an algorithm for computing saddle points. It is based on solving Lasserre's hierarchy of semidefinite relaxations. Under some genericity assumptions on defining polynomials, we show that: i) if there exists a saddle point, our algorithm can get one by solving a finite number of ...
arxiv
Regulating Airflow Using Hybrid LCN for Soft Pneumatic Circuits
To address more autonomous soft robots with embodied control and regulation systems, herein, a liquid crystal network‐based fluid regulator that can be manipulated through multiphysical stimuli is proposed. Aided by finite element modeling for thermal actuation, regulators are designed and incorporated into fluidic circuits and demonstrate that they ...
Elif Kurt+6 more
wiley +1 more source
Cage‐size effects on the encapsulation of P2 by fullerenes
Strategies to stabilize P2 avoiding its own dimerization involve transition metals and Lewis bases. Here, we show that the judicious selection of a fullerene size yields a stable endohedral with an intact triple bond. The thermodynamic, geometrical, and interaction consequences are discussed in light of DFT calculations.
Enric Sabater+3 more
wiley +1 more source
Holography on Non-Orientable Surfaces [PDF]
We consider the holographic computation of two dimensional conformal field theory partition functions on non-orientable surfaces. We classify the three dimensional geometries that give bulk saddle point contributions to the partition function, and find that there are fewer saddles than in the orientable case.
arxiv +1 more source
Early diagnosis and prognosis prediction of central nervous system infections are critical. This study introduces a deep‐learning model utilizing cerebrospinal fluid immune‐cell morphology captured via 3D holotomography. The model effectively predicts infection etiology and prognosis, achieving high accuracy.
Bo Kyu Choi+5 more
wiley +1 more source
Redox‐active ligands as a challenge for electronic structure methods
The 3d transition metal complexes with redox‐active ligands are highly attractive for catalysis, but a challenge for first‐principles electronic structure methods such as density functional theory (DFT). The ligands’ redox‐activity can lead to the self‐consistent field algorithm converging to high‐energy solutions.
Ursula Rastetter+2 more
wiley +1 more source
Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization [PDF]
In this paper, we provide some analysis on the asymptotic escape of strict saddles in manifold optimization using the projected gradient descent (PGD) algorithm. One of our main contributions is that we extend the current analysis to include non-isolated and possibly continuous saddle sets with complicated geometry.
arxiv