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Data-Driven Inversion and Learning: ·
Instance-Wise
Adaptive Sampling for Dataset Construction in Approximating Inverse Problem
Solutions (with J. Han and N. Soedjak),
Submitted, 2025. [pdf]. ·
A
Model-Consistent Data-Driven Computational Strategy for PDE Joint Inversion
Problems (with L. Zhang), J. Comput. Phys., 114232,
2025. [pdf]. ·
An
algebraically converging stochastic gradient algorithm for global
optimization (with B. Engquist and Y. Yang), Commun. Math.
Sci., 2025. [pdf]. ·
Sampling
with Adaptive Variance for Multimodal Distributions (with B. Engquist and Y.
Yang), Submitted, 2024. [pdf] ·
Adaptive
State-Dependent Diffusion for Derivative-Free Optimization (with B.
Engquist and Y. Yang), Commun. Appl. Math. Comput.,
6, 1241-1269, 2024.[pdf]. ·
Fourier-Based
Bounds for Wasserstein Distances and Their Implications in Computational
Inversion (with W. Hong and V. A. Kobzar), NeurIPS
Workshop Optimal Transport and Machine Learning, 2023. [pdf] ·
A
generalized weighted optimization method for computational learning and
inversion (with B. Engquist and Y. Yang), ICLR, 2022. [pdf]. ·
Coupling
deep learning with full waveform inversion (with W.
Ding and Lu. Zhang), Handbook of
Numerical Analysis, 27, 2026. [pdf]. ·
The
quadratic Wasserstein metric for inverse data matching, Inverse
Problems, 36:055001, 2020. [pdf]. Inverse
Problems for Mean-Field Game Models: ·
A
Policy Iteration Method for Inverse Mean Field Games (with N. Soedjak and S. Tong), Submitted, 2024. [pdf] ·
Reconstructing
a state-independent cost function in a mean-field game model (with N Soedjak, K. Wang and H. Zhai), Inverse Problems, 40,
105010, 2024. [pdf] ·
Unique
determination of cost functions in a multipopulation
mean field game model (with N. Soedjak and K.
Wang), J. Diff. Eqn, 427, 843-867, 2025. [pdf] Phase
Retrieval in Nonlinear Optics: ·
Phase
retrieval via media diversity (with Y. Cheng and N. Soedjak),
Inverse Problems, 41, 075009, 2025. [pdf] ·
Chosen-plaintext
attacks of double random phase encryption with nonlinear optical media (with
Y. Cheng, Y. Chen, and N. Soedjak), 2025. [pdf] Numerical
Analysis and Scientific Computing: ·
A
discontinuous Galerkin method for one-dimensional
nonlocal wave problems (with Q. Du, L. Zhang, and Y. Zhou), Submitted,
2025. [pdf]. ·
Error
analysis for the implicit boundary integral method (with Y.
Zhong, O. Runborg, and R. Tsai), BIT Numer. Math., 65, 8, 2025. [pdf]. ·
An
energy-based discontinuous Galerkin method for the
nonlinear Schrödinger equation with wave operator (with L. Zhang and Y.
Zhou), SIAM J. Numer. Anal. 62, 2459-2483,
2024. [pdf] ·
An
explicit spectral decomposition of the ADRT (with W. Li, K. Otness, and D.
Rim), Submitted, 2024. [pdf] ·
A range
characterization of the single-quadrant ADRT(with W.
Li and D. Rim), Mathematics of Computation,92,
283-306, 2024. [pdf]. ·
An implicit
boundary integral method for computing electric potential of macromolecules
in solvent (with R. Tsai and Y. Zhong), J. Comput.
Phys., 359:199-215, 2018.
[pdf]. ·
Separability
of the kernel function in an integral formulation for anisotropic radiative
transfer (with H. Zhao and Y.), Submitted, 2019. [pdf]. ·
A fast
algorithm for radiative transport in isotropic media (with R. Zhang and Y.
Zhong), J. Comput. Phys., 2019. [pdf]. ·
Algorithm
for solving the equation of radiative transfer in the frequency domain
(G. S. Abdoulaev, G. Bal and A. H. Hilescher),
Optics Lett., 29, 578-580, 2004. [pdf]. Hybrid Multi-Physics Inverse Problems: ·
Forward
and inverse problems of a semilinear transport
equation (with Y. Zhong), Submitted, 2025. [pdf]. ·
A
three-stage method for reconstructing multiple coefficients in coupled
photoacoustic and diffuse optical imaging (with Y. Pan and S. Tong), Inverse
Problems, 41, 035008, 2025. [pdf] ·
Recovering
coefficients in a system of semilinear Helmholtz
equations from internal data (with Nathan Soedjak), Inverse Problems, 40,
045023, 2024. [pdf]. ·
Unique
determination of absorption coefficients in a semilinear
transport equation (with Y. Zhong), SIAM J. Math. Anal., 53:
5158-5184, 2021. [pdf]. ·
Image
reconstruction in quantitative PAT with the simplified P2 model
(with C. Frederick and S. Vallelian), SIAM
J. Imag. Sci., 11:2847-2876, 2018. [pdf]. ·
Quantitative
photo-acoustic imaging of two-photon absorption, (with P. Bardsley and R.
Zhang), J. Biomed. Opt., 23, 016002, 2018. [pdf]. ·
A global
stability estimate for the photo-acoustic inverse
problem in layered media, (with F. Triki), Euro. J. Appl. Math., 11,
2018. [pdf]. ·
Nonlinear
quantitative photoacoustic tomography with two-photon absorption (with R.
Zhang), SIAM J. Appl. Math, 78, 479-503, 2018. [pdf]. ·
Inverse
transport problems in quantitative PAT for molecular imaging (with R.
Zhang and Y. Zhong), Inverse Problems, 31,
125012, 2015. [pdf]. ·
A one-step
reconstruction algorithm for quantitative photoacoustic imaging (with T. Ding
and S. Vallelian), Inverse Problems, 31,
095005, 2015. [pdf]. This paper was selected as by Inverse
Problems as one of the papers in its collection: Highlight of 2015
·
Quantitative
photoacoustic imaging in the radiative transport regime (with A. Mamonov), Commun.
Math. Sci., 12, 201-234, 2014. [pdf] ·
Quantitative
fluorescence photoacoustic tomography (with H. Zhao), SIAM J. Imag. Sci., 6, 2404-2429, 2013. [pdf]. ·
A hybrid
reconstruction method for quantitative PAT (with H. Gao and H. Zhao), SIAM
J. Imag. Sci., 6, 32-55, 2013. [pdf] ·
On
multi-spectral quantitative photoacoustic tomography (with G.
Bal), Inverse Problems, 28, 025010, 2012. [pdf]. This paper was selected as a featured
article by Inverse Problems and included in its Highlight
of 2012 collection. ·
Quantitative
Thermo-acoustics and related problems (with G. Bal, G. Uhlmann and
T. Zhou), Inverse Problems, 27, 055007, 2011. [pdf]. ·
Multiple-source
quantitative photoacoustic tomography (with G. Bal), Inverse
Problems, 27, 075003, 2011. [pdf]. Read the news about this paper from Inverse
Problems. ·
Non-uniqueness
result for a hybrid inverse problem (with G. Bal), Contemporary
Mathematics, 559, 29-38, 2011. [pdf]. Inverse
Boundary Value Problems: ·
Inverse
transport calculations in optical imaging with subspace optimization
algorithms (with T. Ding), J. Comput. Phys., 273,
212-226, 2014 [pdf]. ·
Recovering
doping profiles in semiconductor devices with the Boltzmann-Poisson model
(with Y. Cheng and I. M. Gamba), J. Comput. Phys., 230, 3391-3412, 2011.
[pdf]. ·
Recent
development in numerical techniques for transport-based medical imaging
methods, Commun. Comput. Phys., 8, 1-50,
2010. [pdf]. ·
Parametric
image reconstruction using the discrete cosine transform
for optical tomography (with X. Gu, J. Masciotti
and A. H. Hilescher), J. Biomed. Opt., 14,
064003, 2009. [pdf]. ·
Transport-
and diffusion-based optical tomography in small domain: A comparative study
(with G. Bal and A. H. Hilescher), Applied
Optics, 46, 6669-6679, 2007. [pdf]. ·
Frequency-domain
sensitivity analysis for small imaging domains using the equation of
radiative transfer (with X. Gu and A. Hielscher), Appl. Optics, 46,
1624-1632, 2007. [pdf]. ·
Frequency
domain optical tomography based on the equation of radiative transfer (with
G. Bal and A. H. Hielscher), SIAM J. Sci. Comput.,
28, 1463-1489, 2006. [pdf]. ·
Reconstruction
of singular surfaces by shape sensitivity analysis and level set method
(with G. Bal), Math. Models Methods Appl. Sci. (M3AS), 16,
1347-1373, 2006. [pdf]. ·
Inverse
Problems in Transport and Diffusion Theory with Applications in Optical
Tomography, PhD thesis, Columbia University, New York, 2006. [pdf]. ·
Optical
tomographic imaging as a PDE-constrained optimization problem (with G.
Abdoulaev and A. H. Hielscher), Inverse
Problems, 21, 1507-1530, 2005. [pdf]. ·
Atmospheric
concentration profile reconstructions from radiation measurements (with G.
Bal), Inverse Problems, 21, 153-168, 2005. [pdf]. ·
Frequency-domain
tomography in small animals with the equation of radiative transfer (with B.
Moa-Anderson, G.~Bal, X.~Gu,
and A. H. Hielscher), Optical Tomography and Spectroscopy of Tissue VI (Edited
by B. Chance, R. R. Alfano, B. J. Tromberg, M.
Tamura, and E. M. Sevick-Muraca), 111-120. SPIE, 2005, [pdf]. Uncertainty
Characterization in Inverse Problems: ·
Characterizing
impacts of model uncertainties in quantitative photoacoustics
(with S. Vallelian), SIAM/ASA J. Uncertain. Quantif., 2020. [pdf]. ·
Physics-based
models for measurement correlations. Application to an inverse
Sturm-Liouville problem (with G. Bal), Inverse Problems, 25,
055006, 2009. [pdf]. Imaging in
Complex Media: ·
Imaging
point sources in heterogeneous environments (with Y. Zhong), Inverse
Problems, 2019. [pdf]. ·
Transport-based
imaging in random media (with G. Bal), SIAM Applied Math., 68,
1738-1762, 2008. [pdf]. ·
Experimental
validation of a transport-based imaging method in highly scattering
environments (with G. Bal, L. Carin and D. Liu), Inverse
Problems, 23, 2527-2539, 2007. [pdf]. Kinetic
Modeling and Simulations: ·
Transport
models for wave propagation in scattering media with nonlinear absorption
(with J. Kraisler, W. Li, J.C.Schotland and Y. Zhong), SIAM
J. Appl. Math., 83, 1677-1695, 2023. [pdf]. ·
Numerical
algorithms based on Galerkin methods for the
modeling of reactive interfaces in photoelectrochemical (PEC) solar cells
(with M. Harmon and I. M. Gamba), J. Comput. Phys., 327, 140-167, 2016. [pdf
] ·
On the
modeling and simulation of reaction-transfer dynamics in
semiconductor-electrolyte solar cells (with Y. He, I. M. Gamba
and H. Lee), SIAM J. Appl. Math., 75,
2515-2539, 2015. [pdf]. ·
Generalized
diffusion model in optical tomography with clear layers (with G.
Bal), J. Opt. Soc. Am. A, 20, 2355-2364, 2003. [pdf]. Random
Graphs and Complex Networks: ·
Surface
effects in dense random graphs with sharp edge constraint (with C. Radin and
L. Sadun), Submitted, 2017. [pdf]. ·
The phases
of large networks with edge and triangle constraints, (with R. Kenyon, C.
Radin and L. Sadun), J. Phys. A: Math. Theor., 50, 435001, 2017. [pdf]. ·
A symmetry
breaking transition in the edge/triangle network model (with C. Radin and L.
Sadun), AIHP-D, 5:251-286, 2018. [pdf]. ·
Bipodal structure
in oversaturated random graphs (with R. Kenyon, C. Radin and L. Sadun), Int.
Math. Res. Notices, 2016, 1-36, 2016. [pdf]. ·
Multipodal Structure and Phase Transitions in Large
Constrained Graphs (with R. Kenyon, C. Radin and L. Sadun), J. Stat.
Phys., 168, 233-258, 2017. [pdf] ·
The asymptotics of large constrained
graphs (with C. Radin and L. Sadun), J.
Phys. A: Math. Theor. 47, 175001,
2014. [pdf]. One figure in the paper appears on the cover of the journal. Multiscale
Analysis and Fluid Dynamics: ·
The most
intensive fluctuation in chaotic time series and relativity principle (with
S-D Liu, S-K Liu and Z-T Fu), Chaos Soliton Fract.,
15, 627-630, 2003. [pdf]. ·
Hierarchical
similarity in an inhomogeneous turbulent wake flow behind multi-rectangular
pillars (with Z. Zou et al), Acta Mechanica
Sinica, 35, 519-523, 2003. [pdf]. ·
Scaling
equation for invariant measure (with S-K Liu, Z-T Fu and S-D Liu), Commun.
Theor. Phys., 39, 295-296, 2003. [pdf]. ·
Several
problems in the studying of nonlinear dynamics: A review (with
S-D Liu, S-K Liu, S. Liang and Z-T Fu ), Prog.
Nat. Sci., 12, 1-7, 2002. [pdf]. ·
The
homoclinic orbit solution for functional equation (S-D
Liu, Z-T Fu and S-K Liu), Commun. Theor. Phys., 38,
553-554, 2002. [pdf]. ·
Multi-scaling
hierarchical structure analysis on the sequence of E-coli complete genome
(with J. Wang, Q. Zhang and Z-S She), Chinese Sci. Bull.,
46, 1988-1992, 2001. [pdf]. ·
Scalings and structures in turbulent Couette-Taylor flow
(with Z-S She, G. S. Lewis and H. L. Swinney), Phys. Rev. E, 64,
016308, 2001. [pdf]. ·
Hierarchical
structure analysis of multi-scale fluctuations from highly nonlinear physical
systems, Master Thesis, Peking University, Beijing, 2001. [pdf]. Miscellaneous Topics: ·
Deep
neural network for creating reliable PmP database
with a case study in Southern California (with W.
Ding, T. Li, X. Yang, and P. Tong), J.
Geophys. Res, 127, e2021JB023830, 2022. [pdf]. |