N. Mai

发表

$l_2$ Induced Norm Analysis of Discrete-Time LTI Systems for Nonnegative Input Signals and Its Application to Stability Analysis of Recurrent Neural Networks

D. Peaucelle, Y. Ebihara, S. Tarbouriech, 2020, 2011.12726.

Exploiting Constant Trace Property in Large-scale Polynomial Optimization

J. Lasserre, V. Magron, N. Mai, 2020, ACM Trans. Math. Softw..

A Nichtnegativstellensatz on singular varieties under the denseness of regular loci

N. Mai, 2022, 2211.12440.

Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant

J. Lasserre, K. Toh, N. Mai, 2022, ArXiv.

Explicit degree bound for Nichtnegativstellens¨atze based on the Fritz John conditions

N. Mai, 2022 .

Complexity for exact polynomial optimization strengthened with Fritz John conditions

N. Mai, 2022, 2206.02643.

Stability Analysis of Recurrent Neural Networks by IQC with Copositive Mutipliers

D. Peaucelle, Y. Ebihara, S. Tarbouriech, 2021, 2021 60th IEEE Conference on Decision and Control (CDC).

On the exactness for polynomial optimization strengthened with Fritz John conditions

N. Mai, 2022, 2205.08450.

Performance Results of Qualitative Optical Flow Processing Integrated in Fuzzy Logic-Based Behavioral Mobile Robot Control

Klaus Janschek, Ngoc Anh Mai, K. Janschek, 2012, SyRoCo.

On the complexity of Putinar-Vasilescu's Positivstellensatz

Victor Magron, Ngoc Hoang Anh Mai, N. Mai, 2021, J. Complex..

A new open-pit mine planning optimization method using block aggregation and integer programming

Ngoc Anh Mai, Erkan Topal, Oktay Erten, 2018 .

Sums of Squares Representations on Singular Loci

N. Mai, Victor Magron, 2023, SSRN Electronic Journal.

A Nichtnegativstellensatz on singular varieties under the denseness of regular loci

N. Mai, 2022, 2211.12440.

Semi-algebraic description of the closure of the image of a semi-algebraic set under a polynomial

N. Mai, 2022, 2210.13933.

Exact polynomial optimization strengthened with Fritz John conditions

N. Mai, 2022, 2205.04254.

l2 induced norm analysis of discrete-time LTI systems for nonnegative input signals and its application to stability analysis of recurrent neural networks

Sophie Tarbouriech, Dimitri Peaucelle, Yoshio Ebihara, 2021, Eur. J. Control.

Stability Analysis of Recurrent Neural Networks

D. Peaucelle, Y. Ebihara, S. Tarbouriech, 2021 .

A hierarchy of spectral relaxations for polynomial optimization

Victor Magron, Ngoc Hoang Anh Mai, Jean-Bernard Lasserre, 2020, Mathematical Programming Computation.

A Sparse Version of Reznick's Positivstellensatz

J. Lasserre, N. Mai, N. H. A. Mai, 2020, Math. Oper. Res..

A Symbolic Algorithm for Exact Polynomial Optimization Strengthened with Fritz John Conditions

N. Mai, 2022, SSRN Electronic Journal.

Bio-inspired Optical Flow Interpretation with Fuzzy Logic for Behavior-Based Robot Control

Klaus Janschek, Ngoc Anh Mai, K. Janschek, 2009 .

Tractable semidefinite bounds of positive maximal singular values

Y. Ebihara, Hayato Waki, N. Mai, 2022, 2202.08731.

The Constant Trace Property in Noncommutative Optimization

Victor Magron, Ngoc Hoang Anh Mai, Abhishek Bhardwaj, 2021, ISSAC.

CS-TSSOS: Correlative and Term Sparsity for Large-Scale Polynomial Optimization

J. Lasserre, N. Mai, Jie Wang, 2020, ACM Trans. Math. Softw..

Positivity certificates and polynomial optimization on non-compact semialgebraic sets

J. Lasserre, N. Mai, Victor Magron, 2019, Mathematical Programming.

Comparing different subgradient methods for solving convex optimization problems with functional constraints

N. Mai, Thi Lan Dinh, 2021, ArXiv.