Results 11 to 20 of about 7,866 (212)

Epi-convergent Smoothing with Applications to Convex Composite Functions [PDF]

SIAM Journal on Optimization, 2013
Smoothing methods have become part of the standard tool set for the study and solution of nondifferentiable and constrained optimization problems as well as a range of other variational and equilibrium problems. In this note we synthesize and extend recent results due to Beck and Teboulle on infimal convolution smoothing for convex functions with those
James V. Burke, Tim Hoheisel
openaire   +2 more sources

A characterization of epi-convergence in terms of convergence of level sets [PDF]

Proceedings of the American Mathematical Society, 1992
Let LSC ⁡ ( X
Beer, Gerald, Rockafellar, R. T., Wets, Roger J.-B.   +2 more
openaire   +1 more source

Epi-convergent discretizations of stochastic programs via integration quadratures [PDF]

Numerische Mathematik, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teemu Pennanen, Matti Koivu
openaire   +2 more sources

Epi-Convergence of Expectation Functions under Varying Measures and Integrands

, 2022
For expectation functions on metric spaces, we provide sufficient conditions for epi-convergence under varying probability measures and integrands, and examine applications in the area of sieve estimators, mollifier smoothing, PDE-constrained optimization, and stochastic optimization with expectation constraints.
Feinberg, Eugene A., Kasyanov, Pavlo O., Royset, Johannes O.   +2 more
openaire   +3 more sources

Epi-convergence: The Moreau Envelope and Generalized Linear-Quadratic Functions [PDF]

Journal of Optimization Theory and Applications, 2018
This work introduces the class of generalized linear-quadratic functions, constructed using maximally monotone symmetric linear relations. Calculus rules and properties of the Moreau envelope for this class of functions are developed. In finite dimensions, on a metric space defined by Moreau envelopes, we consider the epigraphical limit of a sequence ...
Planiden, Chayne, Wang, Xianfu
openaire   +3 more sources

Basic properties of statistical epi-convergence

, 2020
Bu çalışmada, istatistiksel epi-yakınsaklığın sonraki çalışmalarda daha verimli kullanılabilmesi için bazı temel özelliklere yer verildi. Bir fonksiyon dizisinin düzgün istatistiksel yakınsaklık durumu, fonksiyon dizilerinin bileşkesinin istatistiksel epi-limiti, fonksiyon dizilerinin toplamının istatistiksel epi-limiti, fonksiyon dizisinin alttan yarı
openaire   +4 more sources

Microfluidic Nano‐Assembly of Red‐Blood‐Cell (RBC) Lipids and Components for Engineering Extracellular Vesicles

Advanced Healthcare Materials, EarlyView.
Engineered red blood cell‐derived extracellular vesicles (eRBCEVs) are synthesized via controlled microfluidic assembly from native RBC lipids, enabling tunable encapsulation of proteins, nucleic acids, nanoparticles, and viral vectors. The platform demonstrates reproducible nanoscale architecture, preserved membrane composition, and functional cargo ...
Chiranth K. Nagaraj, Xilal Y. Rima, Kim T. Nguyen, Courtney Culkins, Nana Boateng, Jacob Doon‐Ralls, Alejandro Bresolin, Xin Huang, Hong Li, Vahedi Amid, Ajeet Pal Singh, Dharti Shantaram, Anastasiia Amari, Mangesh D. Hade, Nicholas R. Merriam, Zachary D. Schultz, Scott Q. Harper, Nizar Y. Saad, Setty M. Magaña, Willa A. Hsueh, Rachel E. Kopec, Blaise R. Kimmel, Andre F. Palmer, Eduardo Reátegui   +23 more
wiley   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

Advanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena, J. Terence Blaskovits, Kun‐Han Lin, Denis Andrienko   +3 more
wiley   +1 more source

Single‐Cell Transcriptomic Analysis of Tumor Heterogeneity and the Microenvironment in Pseudomyxoma Peritonei

Advanced Science, EarlyView.
This study presents a single‐cell atlas of pseudomyxoma peritonei spanning primary and paired metastatic lesions. Distinct epithelial substates, stromal remodeling, immune exclusion, lipid metabolic reprogramming, and a candidate angiogenic network were identified in metastatic lesions.
Xi Li, Lei Wang, Lei Ai, Zimeng Li, Zhaochangci Chen, Yuchen Luo, Tianran Zhang, Mengjia Liao, Songhao Wang, Jiajia Cui, Ke Liu, Chengxian Guo, Guodong Liu, Jiye Yin, Wei Wu   +14 more
wiley   +1 more source

Multidimensional and Multifunctional Laser‐Induced Graphene (LIG) for Point‐of‐Care and Wearable Biosensing, Theranostics, and Bioactive Interfaces Toward Personalized Healthcare and Regenerative Medicine

Advanced Science, EarlyView.
Multidimensional laser‐induced graphene (LIG) spanning from 0D to 3D architectures is comprehensively reviewed for multifunctional biomedical platforms, including biosensing, theranostics, and bioactive interface applications, which highlights its potentials for point‐of‐care diagnostics, wearable health monitoring, smart drug delivery, and tissue ...
Li Zhang, Yurou Yuan, Xiaohong Ding, Wing Cheung Mak   +3 more
wiley   +1 more source