Pan Zhang

ORCID: 0000-0002-9462-9840
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About
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Research Areas
  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Algebraic Geometry and Number Theory
  • Advanced Differential Geometry Research
  • Point processes and geometric inequalities
  • Nonlinear Partial Differential Equations
  • Advanced Algebra and Geometry
  • Advanced Image Processing Techniques
  • Nonlinear Differential Equations Analysis
  • Differential Equations and Numerical Methods
  • Photopolymerization techniques and applications
  • Homotopy and Cohomology in Algebraic Topology
  • Fractional Differential Equations Solutions
  • Numerical methods in inverse problems
  • Advanced Polymer Synthesis and Characterization
  • Multimodal Machine Learning Applications
  • Generative Adversarial Networks and Image Synthesis
  • Advanced Mathematical Physics Problems
  • Image and Signal Denoising Methods
  • Image Enhancement Techniques
  • Monoclonal and Polyclonal Antibodies Research
  • vaccines and immunoinformatics approaches
  • Immunotherapy and Immune Responses
  • Physics of Superconductivity and Magnetism
  • Organometallic Complex Synthesis and Catalysis

Anhui University
2018-2024

Sun Yat-sen University
2018-2024

China University of Petroleum, Beijing
2024

University of Science and Technology of China
2014-2022

Collaborative Innovation Center of Chemistry for Energy Materials
2020-2021

Hefei National Center for Physical Sciences at Nanoscale
2019

Chinese Academy of Sciences
2019

Tianjin University of Science and Technology
2019

Xi'an University of Science and Technology
2018

Tongling University
2018

We present a general framework for exemplar-based image translation, which synthesizes photo-realistic from the input in distinct domain (e.g., semantic segmentation mask, or edge map, pose keypoints), given an exemplar image. The output has style color, texture) consistency with semantically corresponding objects exemplar. propose to jointly learn cross-domain correspondence and where both tasks facilitate each other thus can be learned weak supervision. images domains are first aligned...

10.1109/cvpr42600.2020.00519 article EN 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) 2020-06-01

Light is a fascinating source of external stimulus for the regulation polymerization processes. In this contribution, some salicylaldimine Zn(II) complexes bearing azobenzene moieties were prepared and characterized. Isomerization between trans cis forms these achieved by exposure to light; both isomers are active in ring-opening polymerizations ε-caprolactone (CL), rac-lactide, trimethylene carbonate, β-oxetanone, δ-valerolactone, cyclopentadecanolide, 5-methyl-5-propyl-1,3-dioxan-2-one but...

10.1021/acs.macromol.9b00984 article EN Macromolecules 2019-07-18

Micro-pore structures are an essential factor for the electrical properties of porous rock. Theoretical conductivity models considering pore structure can highly improve accuracy reservoir estimation. In this study, a characterization method based on multi-fractal theory using capillary pressure is developed. Next, theoretical equation derived new method. Furthermore, distinct interrelationship between fractal dimensions curves (Dv) and resistivity index (Dt Dr) obtained. The experimental...

10.3390/fractalfract8020118 article EN cc-by Fractal and Fractional 2024-02-16

Accurately predicting the water production rate of multiple-phase fluid flows through porous rock is important for many engineering and geological applications. Taking into account irreducible capillary tortuosity, equivalent element model from previous studies has been improved. Based on improved model, this study proposes a relationship between in two-phase systems resistivity index. The verified using samples, result shows that calculated by new closely matches experimental values,...

10.3389/feart.2025.1508283 article EN cc-by Frontiers in Earth Science 2025-02-11

Abstract Using Oprea’s optimization methods on submanifolds, we give another proof of the inequalities relating normalized δ -Casoraticurvature <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mover> <m:mi>δ</m:mi> <m:mo>^</m:mo> </m:mover> </m:math> $\hat \delta $ c ( n −1) for submanifolds in real space forms. Also, -Casorati curvature δC − 1) forms are obtained. Besides, characterize a kind Casorati ideal hypersurface Euclidean 4-space. We also show that this is rigid.

10.1515/advgeom-2016-0009 article EN Advances in Geometry 2016-06-27

We propose to restore old photos that suffer from severe degradation through a deep learning approach. Unlike conventional restoration tasks can be solved supervised learning, the in real is complex and domain gap between synthetic images makes network fail generalize. Therefore, we novel triplet translation by leveraging along with massive image pairs. Specifically, train two variational autoencoders (VAEs) respectively transform clean into latent spaces. And these spaces learned paired...

10.1109/tpami.2022.3163183 article EN IEEE Transactions on Pattern Analysis and Machine Intelligence 2022-03-29

By using new algebraic techniques, two Casorati inequalities are established for submanifolds in a Riemannian manifold of quasi-constant curvature with semi-symmetric metric connection, which generalize obtained by Lee et al. J. Inequal. Appl. 2014, 327.

10.3390/sym8040019 article EN Symmetry 2016-03-31

Bessel beam is an important member of the family non-diffracting beams and has some unique properties which can be used in many areas, such as micro particle manipulating, material processing optical communication. However, source generated by existing methods only a short distance due to its low power. In this paper, according coherent combining technology, we propose method generate second-order Bessel-Gaussian (BG) loading discrete vortex phase on specific spatially distributed Gaussian...

10.7498/aps.67.20180325 article EN Acta Physica Sinica 2018-01-01

In this paper, we obtain an inequality for the normalized Casorati curvature of slant submanifolds in quaternionic space forms by using T Oprea's optimization method. MSC:53C40, 53D12.

10.1186/1029-242x-2014-452 article EN cc-by Journal of Inequalities and Applications 2014-11-10

In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over class of non-compact Gauduchon manifolds.

10.48550/arxiv.1804.08994 preprint EN other-oa arXiv (Cornell University) 2018-01-01

We present a general framework for exemplar-based image translation, which synthesizes photo-realistic from the input in distinct domain (e.g., semantic segmentation mask, or edge map, pose keypoints), given an exemplar image. The output has style color, texture) consistency with semantically corresponding objects exemplar. propose to jointly learn crossdomain correspondence and where both tasks facilitate each other thus can be learned weak supervision. images domains are first aligned...

10.48550/arxiv.2004.05571 preprint EN other-oa arXiv (Cornell University) 2020-01-01

In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over class of non-compact Gauduchon manifolds.

10.1090/tran/8323 article EN publisher-specific-oa Transactions of the American Mathematical Society 2020-11-16

In this paper, by the method of J. F. Li and X. Xu ( Differential Harnack inequalities on Riemannian manifolds I: Linear heat equation, Adv. in Math., 226 (2011), 4456–4491 ), we shall consider nonlinear parabolic equation urn:x-wiley:0025584X:media:mana201500287:mana201500287-math-0001 with , . First all, derive corresponding Li–Xu type gradient estimates positive solutions for As applications, deduce Liouville theorem inequality some special cases. Besides, when our results are different...

10.1002/mana.201500287 article EN Mathematische Nachrichten 2016-12-19

The grounding resistance of the transmission line tower is an important parameter to ensure safe and stable operation power system. accurate grasp this premise formulating appropriate lightning protection measures for Since periodic test task heavy half towers are located in mountainous area, conventional three-pole method difficult carry out, so most tests currently carried out by clamp method. Generally, high-voltage senses interference signal with amplitude variation on device. However,...

10.1109/snsp.2018.00019 article EN 2018-10-01

10.1016/j.geomphys.2019.05.010 article EN publisher-specific-oa Journal of Geometry and Physics 2019-05-28

&lt;abstract&gt;&lt;p&gt;In this paper, we prove the existence of approximate $ (\sigma, \tau) $-Hermitian Yang-Mills structure on $-semi-stable quiver bundle \mathcal{R} = (\mathcal{E}, \phi) over compact Gauduchon manifolds. An interesting aspect work is that argument weakly L^{2}_1 $-subbundles different from [Álvarez-Cónsul and García-Prada, Comm. Math. Phys., 2003] [Hu-Huang, J. Geom. Anal., 2020].&lt;/p&gt;&lt;/abstract&gt;

10.3934/math.2023584 article EN cc-by AIMS Mathematics 2023-01-01

In this paper, we derive a DDVV-type inequality for submianifolds in Riemannian manifold of nearly quasi-constant curvature. Moreover, two inequalities involving the Casorati curvature and scalar are obtained.

10.2298/fil1708467s article EN Filomat 2017-01-01

In this paper, by using Uhlenbeck–Yau's continuity method, we prove the existence of approximate Hermite–Einstein structure on semi-stable generalized holomorphic bundles over closed Kähler manifolds symplectic type.

10.1080/17476933.2021.1882436 article EN Complex Variables and Elliptic Equations 2021-02-11
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