Research Interests

1. Monotone Inclusions

2. Convex Analysis and Convex Optimization

3. Machine Learning

4. Partial Differential Equations

Publications

Published

1. C. T. Anh and Van Quang Nguyen, Uniform attractors for non-autonomous parabolic equations involving weighted p-Laplacian operators, Annales Polonici Mathematici, 98 (2010), 251-271 (link)

2. C. T. Anh and Van Quang Nguyen, Uniform attractors for a non-autonomous parabolic equation involving Grushin operator, Acta Mathematica Vietnamica, 36 (2011), pp. 19-35 (link)

3. P. L. Combettes and Van Quang Nguyen, Solving composite monotone inclusions in reflexive Banach spaces by constructing best Bregman approximations from their Kuhn-Tucker set, Journal of Convex Analysis, 23 (2016), pp. 481–510 (link)

4. Van Quang Nguyen, Variable quasi-Bregman monotone sequences, Numerical Algorithms, 73 (2016), pp. 1107-1130 (link)

5. Van Quang Nguyen, Forward-Backward Splitting with Bregman Distances, Vietnam Journal of Mathematics, 45 (2017), pp. 519–539 (link)

6. Van Quang Nguyen, S. De, Junhong Lin, and V. Cevher, Chemical machine learning with kernels : the impact of loss functions, International Journal of Quantum Chemistry, https: //doi.org/10.1002/qua.25872.

7. J. V. Burke, Tim Hoheisel and Van Quang Nguyen, A study of convex convex-composite functions via infimal convolution with applications, Mathematics of Operations Research, https://doi.org/10.1287/moor.2020.1099.

Preprints

1. Van Quang Nguyen, O. Fercoq and V. Cevher, Smoothing technique for nonsmooth composite minimization with linear operator, preprint https://arxiv.org/abs/1706.05837.

2. M. El Halabi, Y.-P. Hsieh, B. Vu, Van Quang Nguyen and V. Cevher, General proximal gradient method : a case for non-Euclidean norms, preprint https://infoscience.epfl.ch/record/230391?ln=en.

In Preparation

1. T. Hoheisel, V. Quang Nguyen and A. Goodwin, Proximal operator of convex convex- composite functions, in preparation.