Explanipedia

Inclination information-aided circumferential deformation reconstruction error correction method for CFRP belt integrated with optical fiber sensor Open

Zhengfang Wang, Wenhao Li, Wang Jing, Jinqiao Cui · 2024

In view of the problem that the distributed optical fiber-based deformation reconstruction method can produce serious accumulated errors, this paper developed a smart fiber optic sensor belt that employs a carbon-fiber composite material a…

Terahertz wave propagation characteristics in SMM-based three-dimensional plasma fluid Open

Jie Zhang, Zhengfang Wang, Miao Li, Mingzhao Li · 2024

During the return to the atmosphere of a hypersonic vehicle in adjacent space, a plasma sheath forms on the surface of the vehicle, which blocks normal electromagnetic communications. The ‘blackout’ phenomenon caused by plasma sheaths has …

Comprehensive analysis and experimental verification of the mechanism of action of T cell-mediated tumor-killing related genes in Colon adenocarcinoma Open

Jing Chen, Zhengfang Wang, Qin Zhu, Shiqi Ren, Yanhua Xu , et al. · 2024

Differential graded enhancements of singularity categories Open

Xiao‐Wu Chen, Zhengfang Wang · 2023

The singularity category of a ring detects the homological singularity of the given ring, and appears in many different contexts. We describe two different dg enhancements of the singularity category, that is, the Vogel dg category and the…

Deformations of categories of coherent sheaves via quivers with relations Open

Severin Barmeier, Zhengfang Wang · 2023

We give an explicit description of the deformation theory of the Abelian category of (quasi-)coherent sheaves on any separated Noetherian scheme X via the deformation theory of path algebras of quivers with relations, by using any affine o…

Algebraic string topology from the neighborhood of infinity Open

Manuel Rivera, Alex Takeda, Zhengfang Wang · 2023

We construct and study an algebraic analogue of the loop coproduct in string topology, also known as the Goresky-Hingston coproduct. Our algebraic setup, which under this analogy takes the place of the complex of chains on the free loop sp…

A complete derived invariant and silting theory for graded gentle algebras Open

Haibo Jin, Sibylle Schroll, Zhengfang Wang · 2023

We confirm a conjecture by Lekili and Polishchuk that the geometric invariants which they construct for homologically smooth graded (not necessarily proper) gentle algebras form a complete derived invariant. Hence, we obtain a complete inv…

$A_\infty$-deformations of zigzag algebras via Ginzburg dg algebras Open

Junyang Liu, Zhengfang Wang · 2023

This note aims to give a short proof of the recent result due to Etgü-Lekili (2017) and Lekili-Ueda (2021): the zigzag algebra of any finite tree over a field of characteristic 0 is intrinsically formal if and only if the tree is of type A…

Cratranet: An Unsupervised Deep-Learning–Based Crack-Growth–Tracking Network Using Multi-Temporal Uav Images Open

Zhengfang Wang, Hongliang Zhu, Jing Wang, Ganghua Xiao, Yujie Yang , et al. · 2023

A$_\infty$ deformations of extended Khovanov arc algebras and Stroppel's Conjecture Open

Severin Barmeier, Zhengfang Wang · 2022

Extended Khovanov arc algebras $\mathrm{K}_m^n$ are graded associative algebras which naturally appear in a variety of contexts, from knot and link homology, low-dimensional topology and topological quantum field theory to representation t…

The singular Yoneda category and the stabilization functor Open

Xiaowu Chen, Zhengfang Wang · 2022

For a noetherian ring $Λ$, the stabilization functor in the sense of Krause yields an embedding of the singularity category of $Λ$ into the homotopy category of acyclic complexes of injective $Λ$-modules. When $Λ$ contains a semisimple art…

The dg Leavitt algebra, singular Yoneda category and singularity category Open

Xiao‐Wu Chen, Bernhard Keller, Yu Wang, Zhengfang Wang · 2021

For any finite dimensional algebra $Λ$ given by a quiver with relations, we prove that its dg singularity category is quasi-equivalent to the perfect dg derived category of a dg Leavitt path algebra. The result might be viewed as a deforme…

Microseismic P-Wave Travel Time Computation and 3D Localization Based on a 3D High-Order Fast Marching Method Open

Yijia Li, Jing Wang, Zhengfang Wang, Qingmei Sui, Ziming Xiong · 2021

The travel time computation of microseismic waves in different directions (particularly, the diagonal direction) in three-dimensional space has been found to be inaccurate, which seriously affects the localization accuracy of three-dimensi…

Deformations of categories of coherent sheaves via quivers with relations Open

Severin Barmeier, Zhengfang Wang · 2021

We give an explicit combinatorial description of the deformation theory of the Abelian category of (quasi)coherent sheaves on any separated Noetherian scheme $X$ via the deformation theory of path algebras of quivers with relations, by usi…

First Arrival Picking on Microseismic Signals Based on K-Means with a ReliefF Algorithm Open

Yijia Li, Zhengfang Wang, Jing Wang, Qingmei Sui, Shufan Li , et al. · 2021

The quick and accurate picking of the first arrival on microseismic signals is one of the critical processing steps of microseismic monitoring. This study proposed a first arrival picking method for application to microseismic data with a …

Moderate vs. mild cases of overseas-imported COVID-19 in Beijing: a retrospective cohort study Open

Wenliang Zhai, Zujin Luo, Yue Zheng, Dawei Dong, Endong Wu , et al. · 2021

Deep Learning-Based Rebar Clutters Removal and Defect Echoes Enhancement in GPR Images Open

Jing Wang, Kefu Chen, Hanchi Liu, Jiaqi Zhang, Wenqiang Kang , et al. · 2021

The clutters of rebar in the ground penetrating radar (GPR) images may mask the echoes of the inner defects under the rebars, which adversely affects the identification of the inner structural defects in the reinforced concrete (RC). In th…

Leavitt path algebras, $B_\infty$-algebras and Keller's conjecture for singular Hochschild cohomology Open

Xiao‐Wu Chen, Huanhuan Li, Zhengfang Wang · 2020

For a finite quiver without sinks, we establish an isomorphism in the homotopy category $\mathrm {Ho}(B_\infty)$ of $B_{\infty}$-algebras between the Hochschild cochain complex of the Leavitt path algebra $L$ and the singular Hochschild co…

Defect segmentation: Mapping tunnel lining internal defects with ground penetrating radar data using a convolutional neural network Open

Senlin Yang, Zhengfang Wang, Jing Wang, Anthony G. Cohn, Jiaqi Zhang , et al. · 2020

This research proposes a Ground Penetrating Radar (GPR) data processing method for non-destructive detection of tunnel lining internal defects, called defect segmentation. To perform this critical step of automatic tunnel lining detection,…

Deformations of path algebras of quivers with relations Open

Severin Barmeier, Zhengfang Wang · 2020

Let $A = \Bbbk Q / I$ be the path algebra of any finite quiver $Q$ modulo any two-sided ideal $I$ of relations and let $R$ be any reduction system satisfying the diamond condition for $I$. We introduce an intrinsic notion of deformation of…

Invariance of the Goresky-Hingston algebra on reduced Hochschild homology Open

Manuel Rivera, Zhengfang Wang · 2019

We prove that two quasi-isomorphic simply connected differential graded associative Frobenius algebras have isomorphic Goresky-Hingston algebras on their reduced Hochschild homology. Our proof is based on relating the Goresky-Hingston alge…

Design, Optimization and Improvement of FBG Flexible Sensor for Slope Displacement Profiles Measurement Open

Changbin Tian, Zhengfang Wang, Qingmei Sui, Jing Wang, Yanan Dong · 2019

The accurate measurement of slope displacement profiles using a fiber Bragg grating flexible sensor is limited due to the influence of accumulative measurement errors. The measurement errors vary with the deformation forms of the sensor, w…

INVARIANCE OF THE GERSTENHABER ALGEBRA STRUCTURE ON TATE-HOCHSCHILD COHOMOLOGY Open

Zhengfang Wang · 2019

Keller proved in 1999 that the Gerstenhaber algebra structure on the Hochschild cohomology of an algebra is an invariant of the derived category. In this paper, we adapt his approach to show that the Gerstenhaber algebra structure on the T…

The Batalin-Vilkovisky structure on the Tate-Hochschild cohomology ring of a group algebra Open

Yuming Liu, Zhengfang Wang, Guodong Zhou · 2019

We determine the Batalin-Vilkovisky structure on the Tate-Hochschild cohomology of the group algebra $kG$ of a finite group $G$ in terms of the additive decomposition. In particular, we show that the Tate cohomology of $G$ is a Batalin-Vil…

A Deep-Learning-Based Multiple Defect Detection Method for Tunnel Lining Damages Open

Yanan Dong, Jing Wang, Zhengfang Wang, Xiao Zhang, Yuan Gao , et al. · 2019

Diagnosing tunnel lining structural damages is vital to ensure safe tunnel operations. However, the detection of multiple defect is challenging task due to the size imbalance between cracks, spalling, and backgrounds. Currently, deep-learn…

Gerstenhaber algebra and Deligne's conjecture on Tate-Hochschild cohomology Open

Zhengfang Wang · 2018

Using non-commutative differential forms, we construct a complex called singular Hochschild cochain complex for any associative algebra over a field. The cohomology of this complex is isomorphic to the Tate-Hochschild cohomology in the sen…

An explicit projective bimodule resolution of a Leavitt path algebra Open

Xiaowu Chen, Huanhuan Li, Zhengfang Wang · 2017

We construct an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Hochschild cohomolgical dimension at most one, that is, it is…

Singular Hochschild cohomology and algebraic string operations Open

Manuel Rivera, Zhengfang Wang · 2017

Given a differential graded (dg) symmetric Frobenius algebra $A$ we construct an unbounded complex $\mathcal{D}^{*}(A,A)$, called the Tate-Hochschild complex, which arises as a totalization of a double complex having Hochschild chains as n…

Singular deformation theory and the invariance of Gerstenhaber algebra structure on the singular Hochschild cohomology Open

Zhengfang Wang · 2016

Keller proved in 1999 that the Gerstenhaber algebra structure of the Hochschild cohomology of an algebra is an invariant of the derived category. In this paper, we adapt his approach and develop the singular infinitesimal deformation theor…

Invariance of the Gerstenhaber algebra structure on Tate-Hochschild cohomology Open

Zhengfang Wang · 2016

Keller proved in 1999 that the Gerstenhaber algebra structure on the Hochschild cohomology of an algebra is an invariant of the derived category. In this paper, we adapt his approach to show that the Gerstenhaber algebra structure on the T…

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