Research Output

2018

Integer Matrix Approximation and Data Mining

Dong, B., Lin, M. M. & Park, H., 2018 Apr 1, In : Journal of Scientific Computing. 75, 1, p. 198-224 27 p.

Research output: Contribution to journalArticle

Modeling Energy Saving Mechanism for Green Routers

Liu, G. R., Lin, P. & Awad, M. K., 2018 Sep, In : IEEE Transactions on Green Communications and Networking. 2, 3, p. 817-829 13 p., 8304600.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Nonlinear stability of the 1D Boltzmann equation in a periodic box

Wu, K-C., 2018 Apr 9, In : Nonlinearity. 31, 5, p. 2173-2191 19 p.

Research output: Contribution to journalArticle

On polynomial rings over nil rings in several variables and the central closure of prime nil rings

Chebotar, M., Ke, W-F., Lee, P. H. & Puczyłowski, E. R., 2018 Feb 1, In : Israel Journal of Mathematics. 223, 1, p. 309-322 14 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On the standing waves of quantum Zakharov system

Fang, Y-F., Segata, J. I. & Wu, T. F., 2018 Feb 15, In : Journal of Mathematical Analysis and Applications. 458, 2, p. 1427-1448 22 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Phase Retrieval with One or Two Diffraction Patterns by Alternating Projections with the Null Initialization

Chen, P., Fannjiang, A. & Liu, G. R., 2018 Jun 1, In : Journal of Fourier Analysis and Applications. 24, 3, p. 719-758 40 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Quantitative pointwise estimate of the solution of the linearized Boltzmann equation

Lin, Y. C., Wang, H. & Wu, K. C., 2018 Jan 1, In : Journal of Statistical Physics. 171, 5, p. 927-964 38 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Quasi-local energy with respect to a static spacetime

Chen, P. N., Wang, M. T., Wang, Y. K. & Yau, S. T., 2018 Jan 1, In : Advances in Theoretical and Mathematical Physics. 22, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Radical 3-subgroups of the finite groups of Lie type E6

An, J., Dietrich, H. & Huang, S. C., 2018 Dec, In : Journal of Pure and Applied Algebra. 222, 12, p. 4040-4067 28 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Smoothing effects and decay estimate of the solution of the linearized two species Landau equation

Lin, Y. C., Wang, H. & Wu, K. C., 2018 Jan 1, In : Communications in Mathematical Sciences. 16, 8, p. 2261-2300 40 p.

Research output: Contribution to journalArticle

Symmetric structure for the endomorphism algebra of projective-injective module in parabolic category

Hu, J. & Lam, N., 2018 Dec 1, In : Journal of Algebra. 515, p. 173-201 29 p.

Research output: Contribution to journalArticle

The algebraic de rham cohomology of representation varieties

Xia, E. Z., 2018 Jun, In : Canadian Journal of Mathematics. 70, 3, p. 702-720 19 p.

Research output: Contribution to journalArticle

The predictive modeling for learning student results based on sequential rules

Nguyen, H. Q., Pham, T. T., Vo, V., Vo, B. & Quan, T. T., 2018 Dec, In : International Journal of Innovative Computing, Information and Control. 14, 6, p. 2129-2140 12 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The SU(2) -character variety of the closed surface of genus 2

Ho, N. K., Jeffrey, L. C., Nguyen, K. D. & Xia, E. Z., 2018 Feb 1, In : Geometriae Dedicata. 192, 1, p. 171-187 17 p.

Research output: Contribution to journalArticle

Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces

Kwok-Kun, K., Lee, H. & Pyo, J., 2018 Jan 1, In : Mathematical Research Letters. 25, 2, p. 597-616 20 p.

Research output: Contribution to journalArticle

2017

A functional inequality on the boundary of static manifolds

Kwong, K. K. & Miao, P., 2017 Jan 1, In : Asian Journal of Mathematics. 21, 4, p. 687-696 10 p.

Research output: Contribution to journalArticle

Asymptotic Behavior for Rayleigh Problem Based on Kinetic Theory

Kuo, H. W., 2017 Mar 1, In : Journal of Statistical Physics. 166, 5, p. 1247-1275 29 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Boltzmann systems for gas mixtures in 1d torus

Wu, K. C., 2017 Jan 1, In : Quarterly of Applied Mathematics. 75, 3, p. 415-431 17 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface

Di Cristo, M., Francini, E., Lin, C. L., Vessella, S. & Wang, J. N., 2017 Aug, In : Journal des Mathematiques Pures et Appliquees. 108, 2, p. 163-206 44 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Development of an intelligent module used in railway level crossings to solve the safety and punctuality issues in urban area

Lin, T. H., Shih, Y. L., Jong, J. C. & Suen, C. S., 2017 Jan 1, 2017 Joint Rail Conference, JRC 2017. American Society of Mechanical Engineers, (2017 Joint Rail Conference, JRC 2017).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Double well potential function and its optimization in the n-dimensional real space - Part II

Xla, Y., Sheu, R. L., Fang, S. C. & Xing, W., 2017 Jul 1, In : Journal of Industrial and Management Optimization. 13, 3, p. 1307-1328 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
1 Citation (Scopus)

Estimation of selected parameters

Pan, J. C., Huang, Y. & Hwang, J. T. G., 2017 May 1, In : Computational Statistics and Data Analysis. 109, p. 45-63 19 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Local well-posedness for the quantum Zakharov system in one spatial dimension

Fang, Y. F., Shih, H. W. & Wang, K. H., 2017 Mar 1, In : Journal of Hyperbolic Differential Equations. 14, 1, p. 157-192 36 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Low regularity global well-posedness for the quantum Zakharov system in 1D

Chen, T. J., Fang, Y. F. & Wang, K. H., 2017 Jan 1, In : Taiwanese Journal of Mathematics. 21, 2, p. 341-361 21 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Minkowski formulae and Alexandrov theorems in space time

Wang, M. T., Wang, Y. K. & Zhang, X., 2017 Feb, In : Journal of Differential Geometry. 105, 2, p. 249-290 42 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Monetary discount strategies for real-time promotion campaign

Lin, Y. C., Huang, C. H., Hsieh, C. C., Shu, Y. C. & Chuang, K. T., 2017 Jan 1, 26th International World Wide Web Conference, WWW 2017. International World Wide Web Conferences Steering Committee, p. 1123-1132 10 p. 3052616. (26th International World Wide Web Conference, WWW 2017).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Multigraded Hilbert schemes parametrizing ideals in the weyl algebra

Hsiao, J. C., 2017 Jan 1, In : Rocky Mountain Journal of Mathematics. 47, 8, p. 2675-2692 18 p.

Research output: Contribution to journalArticle

Multi-scaling limits for time-fractional relativistic diffusion equations with random initial data

Liu, G. R. & Shieh, N. R., 2017 Jan 1, In : Theory of Probability and Mathematical Statistics. 95, p. 109-130 22 p.

Research output: Contribution to journalArticle

n × 1 local gamma factors and Gauss sums

Nien, C., 2017 Jul 1, In : Finite Fields and their Applications. 46, p. 255-270 16 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On prime rings whose central closure is finitely generated

Chebotar, M., Ke, W-F., Lee, P. H. & Puczyłowski, E. R., 2017 Oct 15, In : Journal of Algebra. 488, p. 282-289 8 p.

Research output: Contribution to journalArticle

Phase retrieval by linear algebra

Chen, P., Fannjiang, A. & Liu, G. R., 2017 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 38, 3, p. 854-868 15 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Relief of spatiotemporal accessibility overloading with optimal resource placement

Chang, C. W., Chih, H. Y., Chou, D., Shu, Y. C. & Chuang, K. T., 2017 Jan 31, Proceedings - 16th IEEE International Conference on Data Mining, ICDM 2016. Bonchi, F., Wu, X., Baeza-Yates, R., Domingo-Ferrer, J. & Zhou, Z-H. (eds.). Institute of Electrical and Electronics Engineers Inc., p. 61-70 10 p. 7837830. (Proceedings - IEEE International Conference on Data Mining, ICDM).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Theory and application of p-regularized subproblems for p>2

Hsia, Y., Sheu, R. L. & Yuan, Y. X., 2017 Sep 3, In : Optimization Methods and Software. 32, 5, p. 1059-1077 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Weierstrass cycles in moduli spaces and the Krichever map

Liou, J. M. F. & Schwarz, A., 2017 Jan 1, In : Mathematical Research Letters. 24, 6, p. 1739-1758 20 p.

Research output: Contribution to journalArticle

2016

An Extension of Hsiung–Minkowski Formulas and Some Applications

Kwong, K. K., 2016 Jan 1, In : Journal of Geometric Analysis. 26, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

An inversion formula for some Fock spaces

Cao, B. & Lam, N., 2016 Oct 1, In : Journal of Pure and Applied Algebra. 220, 10, p. 3476-3497 22 p.

Research output: Contribution to journalArticle

An SDP approach for quadratic fractional problems with a two-sided quadratic constraint

Nguyen, V. B., Sheu, R. L. & Xia, Y., 2016 Jul 3, In : Optimization Methods and Software. 31, 4, p. 701-719 19 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Asymptotic limit of the Gross-Pitaevskii equation with general initial data

Li, F. C., Lin, C. K. & Wu, K. C., 2016 Jun 1, In : Science China Mathematics. 59, 6, p. 1113-1126 14 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Bounding volumes of singular fano threefolds

Lai, C. J., 2016 Dec 1, In : Nagoya Mathematical Journal. 224, p. 37-73 37 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Cauchy Problem and Exponential Stability for the Inhomogeneous Landau Equation

Carrapatoso, K., Tristani, I. & Wu, K. C., 2016 Jul 1, In : Archive for Rational Mechanics and Analysis. 221, 1, p. 363-418 56 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Doubling inequalities for the lamé system with rough coefficients

Koch, H., Lin, C. L. & Wang, J. N., 2016 Jan 1, In : Proceedings of the American Mathematical Society. 144, 12, p. 5309-5318 10 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Erratum: Double well potential function and its optimization in the n-dimensional real space: Part I (Mathematics and Mechanics of Solids)

Fang, S. C., Gao, D. Y., Lin, G. X., Sheu, R. L. & Xing, W. X., 2016 Mar 1, In : Mathematics and Mechanics of Solids. 21, 3, p. NP66-NP80

Research output: Contribution to journalComment/debate

1 Citation (Scopus)

Erratum: Double well potential function and its optimization in the n-dimensional real space: Part II (Mathematics and Mechanics of Solids)

Xia, Y., Sheu, R. L., Fang, S. C. & Xing, W., 2016 Mar 1, In : Mathematics and Mechanics of Solids. 21, 3, p. NP83-NP103

Research output: Contribution to journalComment/debate

1 Citation (Scopus)

Fixed Ideals of Certain Cartier Algebras Over F-split Toric Algebras

Hsiao, J. C., 2016 Jun 2, In : Communications in Algebra. 44, 6, p. 2670-2684 15 p.

Research output: Contribution to journalArticle

High-order discontinuous Galerkin method for solving Elliptic interface problems

Chen, M. H. & Wu, R. J., 2016 Jan 1, In : Taiwanese Journal of Mathematics. 20, 5, p. 1185-1202 18 p.

Research output: Contribution to journalArticle

Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming

Nguyen, V. B., Sheu, R. L. & Xia, Y., 2016 Feb 1, In : Journal of Global Optimization. 64, 2, p. 399-416 18 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Mixed, componentwise condition numbers and small sample statistical condition estimation for generalized spectral projections and matrix sign functions

Wang, W. G., Wang, C. S., Wei, Y. M. & Xie, P. P., 2016 Apr, In : Taiwanese Journal of Mathematics. 20, 2, p. 333-363 31 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)