Results 71 to 80 of about 49,660 (224)

The Legendre Transform in Non-additive Thermodynamics and Complexity

, 2017
We present an argument which purports to show that the use of the standard Legendre transform in non-additive Statistical Mechanics is not appropriate.
Kalogeropoulos, Nikolaos
core   +1 more source

Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds

Advanced Science, EarlyView.
This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao, Zhijun Yu, Yu Yan, Jiamin Ding, Wangsiyuan Teng, Chenhe Zhou, Minjun Yao, Wenkan Zhang, Shenzhi Zhao, Fangqian Wang, Zhenxuan Shao, Jinfeng Zhou, Xiaoyong Wu, Chengcheng Yu, Liang Chen, Xiaoqiang Jin   +15 more
wiley   +1 more source

Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications

Universal Journal of Mathematics and Applications, 2021
In this work, we introduce the idea and concept of $p$--harmonic exponential type convex functions. We elaborate on the newly introduced idea by examples and some interesting algebraic properties.
Muhammad Tariq
doaj  

The law of iterated logarithm for the estimations of diffusion-type processes

Advances in Difference Equations, 2020
This paper mainly discusses the asymptotic behaviours on the lasso-type estimators for diffusion-type processes with a small noise. By constructing the objective function on the estimation, in view of convexity argument, it is proved that the estimator ...
Mingzhi Mao, Gang Huang
doaj   +1 more source

Private Convex Optimization via Exponential Mechanism

Journal of Privacy and Confidentiality
In this paper, we study private optimization problems for non-smooth convex functions $F(x)=\mathbb{E}_i f_i(x)$ on $\mathbb{R}^d$.We show that modifying the exponential mechanism by adding an $\ell_2^2$ regularizer to $F(x)$ and sampling from $\pi(x)\propto \exp(-k(F(x)+\mu\|x\|_2^2/2))$ recovers both the known optimal empirical risk and population ...
Sivakanth Gopi, Yin Tat Lee, Daogao Liu
openaire   +3 more sources

Exponential convexity and Jensen's inequality for divided differences

Journal of Mathematical Inequalities, 2011
In this paper we obtain means which involve divided differences for n-convex functions. We examine their monotonicity property using exponentially convex functions.
Pečarić, Josip, Vukelić, Ana, Pavić, Zlatko   +2 more
openaire   +2 more sources

Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI

Advanced Science, EarlyView.
ABSTRACT 2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is time‐consuming, motivating the reconstruction of the velocity field from undersampled measurements to reduce scan times. In this work, neural fields are proposed as a continuous spatiotemporal
Pablo Arratia, Martin J. Graves, Mary McLean, Carolin Pirkl, Carola‐Bibiane Schönlieb, Timo Schirmer, Florian Wiesinger, Matthias J. Ehrhardt   +7 more
wiley   +1 more source

Divergences Induced by the Cumulant and Partition Functions of Exponential Families and Their Deformations Induced by Comparative Convexity

Entropy
Exponential families are statistical models which are the workhorses in statistics, information theory, and machine learning, among others. An exponential family can either be normalized subtractively by its cumulant or free energy function, or ...
Frank Nielsen
doaj   +1 more source

Variational representations related to Tsallis relative entropy

, 2019
We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis relative entropy.
Hansen, Frank, Shi, Guanghua
core   +1 more source

Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications [PDF]

Journal of Inequalities and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naila Mehreen, Matloob Anwar
openaire   +3 more sources