Publications (53)
Deep Learning via Dynamical Systems: An Approximation Perspective
Qianxiao Li, Ting Lin, Zuowei Shen
We build on the dynamical systems approach to deep learning, where deep residual networks are idealized as continuous-time dynamical systems, from the approximation perspective. In…
Finite Element Complexes with Traces Structures: A unified framework for cohomology and bounded interpolation
Jun Hu, Yizhou Liang, Ting Lin
This paper considers the cohomology and bounded interpolation of nonstandard finite element complexes, e.g. Stokes, Hessian, Elasticity, divdiv. Compared to the standard finite ele…
Finite element grad grad complexes and elasticity complexes on cuboid meshes
Jun Hu, Yizhou Liang, Ting Lin
This paper constructs two conforming finite element grad grad and elasticity complexes on the cuboid meshes. For the finite element grad grad complex, an conforming finite el…
Recent Cold QCD Results from STAR
Ting Lin
Understanding the origin of transverse single-spin asymmetries is a long-standing challenge in strong interaction physics. Recent precise measurements of the azimuthal distribution…
Spin State Disproportionation in Insulating Ferromagnetic LaCoO3 Epitaxial Thin Films
Shanquan Chen, Jhong-Yi Chang, Qinghua Zhang +14
The origin of insulating ferromagnetism in epitaxial LaCoO3 films under tensile strain remains elusive despite extensive research efforts have been devoted. Surprisingly, the spin…
Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors
Yuyang Guo, Jun Hu, Ting Lin
The Einstein-Bianchi system uses symmetric and traceless tensors to reformulate Einstein's original field equations. However, preserving these algebraic constraints simultaneously…
Finite element form-valued forms: Construction
Kaibo Hu, Ting Lin
We provide a finite element discretization of -form-valued -forms on triangulation in for general , and and any polynomial degree. The const…
Super-tetragonal Sr4Al2O7: a versatile sacrificial layer for high-integrity freestanding oxide membranes
Jinfeng Zhang, Ting Lin, Ao Wang +16
Releasing the epitaxial oxide heterostructures from substrate constraints leads to the emergence of various correlated electronic phases and paves the way for integrations with adv…
Interpolation, Approximation and Controllability of Deep Neural Networks
Jingpu Cheng, Qianxiao Li, Ting Lin +1
We investigate the expressive power of deep residual neural networks idealized as continuous dynamical systems through control theory. Specifically, we consider two properties that…
Hyperon-Nucleon Spectrometer
Xiaozhi Bai, Xu Cao, Zhe Cao +237
Chirality lies at the heart of low-energy QCD, governing the symmetry structure that shapes hadron masses and strong interaction dynamics. Among the most compelling open questions…
Probing two driven double quantum dots strongly coupled to a cavity
Si-Si Gu, Sigmund Kohler, Yong-Qiang Xu +8
We experimentally and theoretically study a driven hybrid circuit quantum electrodynamics (cQED) system beyond the dispersive coupling regime. Treating the cavity as part of the dr…
Local Bounded Commuting Projection Operator for Discrete de Rham Complexes
Jun Hu, Yizhou Liang, Ting Lin
The local bounded commuting projection operators of nonstandard finite element de Rham complexes in two and three dimensions are constructed systematically. The assumptions of the…
Cool-3D: An End-to-End Thermal-Aware Framework for Early-Phase Design Space Exploration of Microfluidic-Cooled 3DICs
Runxi Wang, Ziheng Wang, Ting Lin +3
The rapid advancement of three-dimensional integrated circuits (3DICs) has heightened the need for early-phase design space exploration (DSE) to minimize design iterations and unex…
Versatile Method of Engineering the Band Alignment and the Electron Wavefunction Hybridization of Hybrid Quantum Devices
Guoan Li, Xiaofan Shi, Ting Lin +23
With the development of quantum technology, hybrid devices that combine superconductors (S) and semiconductors (Sm) have attracted great attention due to the possibility of enginee…
Extended Regge complex for linearized Riemann-Cartan geometry and cohomology
Snorre H. Christiansen, Kaibo Hu, Ting Lin
We show that the cohomology of the Regge complex in three dimensions is isomorphic to , the infinitesimal-rigi…
Longitudinal Double-Spin Asymmetries for Forward Di-jet Production in Polarized Collisions at = 200 GeV
Ting Lin
One of the primary goals of the STAR spin program is to determine the contribution of the gluon spin () to that of the proton. Recent measurements of the longitudinal double-h…
Machine learning-aided direct estimation of coherence and entanglement for unknown states
Ting Lin, Zhihua Chen, Kai Wu +3
Quantum coherence and entanglement are fundamental resources in quantum technologies, yet their efficient estimation for unknown states by employing minimal resources in experiment…
Aspect-based Sentiment Analysis through EDU-level Attentions
Ting Lin, Aixin Sun, Yequan Wang
A sentence may express sentiments on multiple aspects. When these aspects are associated with different sentiment polarities, a model's accuracy is often adversely affected. We obs…
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
Qianxiao Li, Ting Lin, Zuowei Shen
We study the approximation of functions which are invariant with respect to certain permutations of the input indices using flow maps of dynamical systems. Such invariant functions…
Lightweight Spatial Modeling for Combinatorial Information Extraction From Documents
Yanfei Dong, Lambert Deng, Jiazheng Zhang +5
Documents that consist of diverse templates and exhibit complex spatial structures pose a challenge for document entity classification. We propose KNN-former, which incorporates a…
Analysis of a wavelet frame based two-scale model for enhanced edges
Bin Dong, Ting Lin, Zuowei Shen +1
Image restoration is a class of important tasks that emerges from a wide range of scientific disciplines. It has been noticed that most practical images can be modeled as a composi…
Precision Measurement of the Longitudinal Double-Spin Asymmetry for Dijet Production at Intermediate Pseudorapidity in Polarized Proton+Proton Collisions at = 200 GeV
Zilong Chang, Ting Lin
Measurements of the longitudinal double-spin asymmetry, , by the STAR experiment have contributed significantly to our understanding of the gluon helicity distribution, $Î…
Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC
Zongyang Lu, Zihan Yu, Ting Lin +4
The Electron--Ion Collider in China (EicC) provides an excellent opportunity to explore the internal structure of pions and kaons via the Sullivan process in deep-inelastic scatter…
Correlated spectrum of distant semiconductor qubits coupled by microwave photons
Bao-Chuan Wang, Ting Lin, Hai-Ou Li +7
We develop a new spectroscopic method to quickly and intuitively characterize the coupling of two microwave-photon-coupled semiconductor qubits via a high-impedance resonator. High…
A Construction of Conforming Finite Elements on the Alfeld Split in Any Dimension
Ting Lin, Hendrik Speleers, Qingyu Wu
Constructing conforming finite element spaces in any dimension is a long-standing problem. For general triangulations, this problem was recently addressed by Hu-Lin-Wu (2024)…
Deep learning and the rate of approximation by flows
Jingpu Cheng, Qianxiao Li, Ting Lin +1
We investigate the dependence of the approximation capacity of deep residual networks on its depth in a continuous dynamical systems setting. This can be formulated as the general…
Constraining the quark and gluon helicity at STAR
Ting Lin
How quarks and gluons conspire to provide the total spin of proton is a long-standing puzzle in quantum chromodynamics (QCD). The unique capability of RHIC, that can provide longit…
The sharpness condition for constructing a finite element from a superspline
Jun Hu, Ting Lin, Qingyu Wu +1
This paper addresses sharpness conditions for constructing conforming finite element spaces from a superspline spaces on general simplicial triangulations. We introduce the c…
Longitudinal Double-Spin Asymmetries for Dijet Production at Intermediate Pseudorapidity in Polarized Collisions at = 200 GeV
Ting Lin
One of the primary goals of the RHIC spin program is to determine the spin-dependent gluon distribution, , of the proton. The measurements of the 2009 longitudinal double-h…
Leakage Suppression in Quantum Control via Static Parameter Offsets
Ting Lin, Zi-Hao Qin, Zheng-Yuan Xue +1
High-fidelity quantum operations require the system dynamics to be strictly confined to the computational subspace. In practice, however, control fields inevitably couple to leakag…
Electric-field independent spin-orbit coupling gap in hBN-encapsulated bilayer graphene
Fang-Ming Jing, Zhen-Xiong Shen, Guo-Quan Qin +8
The weak spin-orbit coupling (SOC) in bilayer graphene (BLG) is essential for encoding spin qubits while bringing technical challenges for extracting the opened small SOC gap Î_SO…
A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm
Yuwei Fan, Yixiao Guo, Ting Lin
CholeskyQR is a simple and fast QR decomposition via Cholesky decomposition, while it has been considered highly sensitive to the condition number. In this paper, we provide a rand…
Confined Magnetization at the Sublattice-Matched Ruthenium Oxide Heterointerface
Yiyan Fan, Qinghua Zhang, Ting Lin +17
Creating a heterostructure by combining two magnetically and structurally distinct ruthenium oxides is a crucial approach for investigating their emergent magnetic states and inter…
In-plane polar domains enhanced energy storage
Yu Lei, Xiaoming Shi, Sihan Yan +16
Relaxor ferroelectric thin films are recognized for their ultrahigh power density, rendering them highly promising for energy storage applications in electrical and electronic syst…
Flexible but Refractory Single-Crystalline Hyperbolic Metamaterials
Ruyi Zhang, Ting Lin, Shaoqin Peng +9
The fabrication of flexible single-crystalline plasmonic or photonic components in a scalable way is fundamentally important to flexible electronic and photonic devices with high s…
Local Bounded Commuting Projection Operators for Discrete Gradgrad Complexes
Jun Hu, Yizhou Liang, Ting Lin
This paper discusses the construction of local bounded commuting projections for discrete subcomplexes of the gradgrad complexes in two and three dimensions, which play an importan…
Floquet state depletion in ac-driven circuit QED
Ming-Bo Chen, Bao-Chuan Wang, Sigmund Kohler +9
We perform Floquet spectroscopy in a GaAs double quantum dot system coupled to a high-impedance superconducting resonator. By applying microwave induced consecutive passages under…
Exploring the Quark Transversity and the Collins Fragmentation Functions using Polarized Collisions at STAR
Ting Lin
Understanding the internal spin structure of the nucleon still remains a challenge in strong interaction physics. Transversity, which describes the transverse spin structure of qua…
Electric-field control of the perpendicular magnetization switching in ferroelectric/ferrimagnet heterostructures
Pengfei Liu, Tao Xu, Qi Liu +10
Electric field control of the magnetic state in ferrimagnets holds great promise for developing spintronic devices due to low power consumption. Here, we demonstrate a non-volatile…
A unified framework for establishing the universal approximation of transformer-type architectures
Jingpu Cheng, Ting Lin, Zuowei Shen +1
We investigate the universal approximation property (UAP) of transformer-type architectures, providing a unified theoretical framework that extends prior results on residual networ…
Mixed Finite element method for stress gradient elasticity
Ting Lin, Shudan Tian
This paper develops stable finite element pairs for the linear stress gradient elasticity model, overcoming classical elasticity's limitations in capturing size effects. We analyze…
Proximity effect in PbTe-Pb hybrid nanowire Josephson junctions
Zitong Zhang, Wenyu Song, Yichun Gao +20
Semiconductor-superconductor hybrid nanowires are a leading material platform for the realization of Majorana zero modes. The semiconductors in previous studies are dominantly InAs…
Magnetism and berry phase manipulation in an emergent structure of perovskite ruthenate by (111) strain engineering
Zhaoqing Ding, Xuejiao Chen, Zhenzhen Wang +14
The interplay among symmetry of lattices, electronic correlations, and Berry phase of the Bloch states in solids has led to fascinating quantum phases of matter. A prototypical sys…
Finite elements for symmetric and traceless tensors in three dimensions
Kaibo Hu, Ting Lin, Bowen Shi
We construct a family of finite element sub-complexes of the conformal complex on tetrahedral meshes and show their exactness on contractible domains. This complex includes vector…
Regge metrics with enhanced trace
Snorre H. Christiansen, Ting Lin
We introduce variants of Regge finite element metrics with enhanced properties of the trace. In particular the trace operator is surjective to a finite element space of continuous…
A Construction of Conforming Finite Element Spaces in Any Dimension
Jun Hu, Ting Lin, Qingyu Wu
This paper proposes a construction of conforming finite element spaces with arbitrary in any dimension. It is shown that if the space of p…
Strain mediated phase crossover in Ruddlesden Popper nickelates
Ting Cui, Songhee Choi, Ting Lin +17
Recent progress on the signatures of pressure-induced high temperature superconductivity in Ruddlesden Popper (RP) nickelates (Lan+1NinO3n+1) has attracted growing interest in both…
Microwave-resonator-detected excited-state spectroscopy of a double quantum dot
Ming-Bo Chen, Shun-Li Jiang, Ning Wang +6
As an application in circuit quantum electrodynamics (cQED) coupled systems, superconducting resonators play an important role in high-sensitivity measurements in a superconducting…
On the Universal Approximation Property of Deep Fully Convolutional Neural Networks
Ting Lin, Zuowei Shen, Qianxiao Li
We study the approximation of shift-invariant or equivariant functions by deep fully convolutional networks from the dynamical systems perspective. We prove that deep residual full…
Shift-Left Techniques in Electronic Design Automation: A Survey
Xinyue Wu, Zixuan Li, Fan Hu +4
The chip design process involves numerous steps, beginning with defining product requirements and progressing through architectural planning, system-level design, and the physical…
Distributional Hessian and divdiv complexes on triangulation and cohomology
Kaibo Hu, Ting Lin, Qian Zhang
In this paper, we construct discrete versions of some Bernstein-Gelfand-Gelfand (BGG) complexes, i.e., the Hessian and the divdiv complexes, on triangulations in 2D and 3D. The seq…
Exploring the Spin Structure of the Nucleon at STAR
Ting Lin
Understanding the internal spin structure of the nucleon remains a challenge in strong interaction physics. The unique capability of RHIC opened new avenues in studying the interna…
Computational Optics for Mobile Terminals in Mass Production
Shiqi Chen, Ting Lin, Huajun Feng +3
Correcting the optical aberrations and the manufacturing deviations of cameras is a challenging task. Due to the limitation on volume and the demand for mass production, existing m…