Results 101 to 110 of about 61,087 (328)

A stochastic HJB equation for optimal control of forward-backward SDEs

, 2016
We study optimal stochastic control problems of general coupled systems of forward-backward stochastic differential equations with jumps. By means of the It\^o-Ventzell formula the system is transformed to a controlled backward stochastic partial ...
Sulem, Agnès, Zhang, Tusheng, Øksendal, Bernt   +2 more
core   +1 more source

TRMT6‐Mediated m1A Modification of CDK9 mRNA Is a Dual‐Pronged Pathogenic Driver for HBV‐Related Hepatocellular Carcinoma

Advanced Science, EarlyView.
TRMT6‐mediated m1A modification in CDK9 mRNA enhances its mRNA stability and translation efficiency, thereby increasing the protein levels of CDK9. Upregulated CDK9 promotes the progression of HCC by elevating the levels of oncogenic factors including p‐STAT3, MCL1, and BCL‐2. On the other hand, CDK9 phosphorylates TARDBP at Ser254 to activate HBV core
Rui Zhang, Dandan Zong, Rui Liu, Yubo Wang, Qingqing Gu, Yao Yao, Wenfang Zheng, Mengmeng Yuan, Simeng Wang, Rongrong Cui, Daxu Li, Siwen Dang, Peng Hou   +12 more
wiley   +1 more source

Stochastic Maximum Principle of Near-Optimal Control of Fully Coupled Forward-Backward Stochastic Differential Equation

Abstract and Applied Analysis, 2014
This paper first makes an attempt to investigate the near-optimal control of systems governed by fully nonlinear coupled forward-backward stochastic differential equations (FBSDEs) under the assumption of a convex control domain.
Maoning Tang
doaj   +1 more source

Graphon Mean-Field Backward Stochastic Differential Equations With Jumps and Associated Dynamic Risk Measures

, 2022
Hamed Amini, Zhongyuan Cao, Agnès Sulem
openalex   +1 more source

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Feynman-Kac theorem in Hilbert spaces

Electronic Journal of Differential Equations, 2014
In this article we study the relationship between solutions to Cauchy problems for the abstract stochastic differential equation $dX(t)=AX(t)dt + BdW(t)$ and solutions to Cauchy problems (backward and forward) for the infinite dimensional ...
Irina V. Melnikova, Valentina S. Parfenenkova   +1 more
doaj  

Averaging Principle for Backward Stochastic Differential Equations driven both standard and fractional Brownian motions [PDF]

, 2021
Ibrahima Faye, Sadibou Aïdara, Yaya Sagna   +2 more
openalex   +1 more source

Lp solutions of backward stochastic differential equations

Stochastic Processes and their Applications, 2003
Existence and uniqueness of solutions of the following backward stochastic differential equation are studied: \[ Y_t=\xi +\int _t^Tf(r,Y_r,Z_r)\,\text dr-\int _t^TZ_r\,\text dB_r, \qquad 0\leq t\leq T.\tag{1} \] Here ...
Briand, Ph., Delyon, B., Hu, Y., Pardoux, E., Stoica, L.   +4 more
openaire   +1 more source

De Novo Multi‐Mechanism Antimicrobial Peptide Design via Multimodal Deep Learning

Advanced Science, EarlyView.
Current AI‐driven peptide discovery often overlooks complex structural data. This study presents M3‐CAD, a generative pipeline that leverages 3D voxel coloring and a massive database of over 12 000 peptides to capture nuanced physicochemical contexts.
Xiaojuan Li, Haifan Gong, Yue Wang, Yinuo Zhao, Lixiang Li, Peijing Bao, Qingzhou Kong, Jialu Fu, Boyao Wan, Yumeng Zhang, Jinghui Zhang, Jiekun Ni, Zhongxue Han, Xueping Nan, Kunping Ju, Longfei Sun, Yuerui Ma, Huijun Chang, Mengqi Zheng, Yanbo Yu, Xiaoyun Yang, Xiuli Zuo, Haina Wang, Yanqing Li   +23 more
wiley   +1 more source

Backward stochastic differential equations associated with the vorticity equations

Journal of Functional Analysis, 2014
We derive a non-linear version of the Feynman-Kac formula for the solutions of the vorticity equation in dimension 2 with space periodic boundary conditions. We prove the existence (global in time) and uniqueness for a stochastic terminal value problem associated with the vorticity equation in dimension 2.
Cruzeiro, A. B., Qian, Z. M.
openaire   +3 more sources