4 citations · 5 across the 2 of their papers we have counts for
3 papers
Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification
Tong Chen, Jean-Bernard Lasserre, Victor Magron +1
Deep equilibrium models are based on implicitly defined functional relations and have shown competitive performance compared with the traditional deep networks. Monotone operator e…
A Sublevel Moment-SOS Hierarchy for Polynomial Optimization
Tong Chen, Jean-Bernard Lasserre, Victor Magron +1
We introduce a sublevel Moment-SOS hierarchy where each SDP relaxation can be viewed as an intermediate (or interpolation) between the d-th and (d+1)-th order SDP relaxations of th…
Semialgebraic Optimization for Lipschitz Constants of ReLU Networks
Tong Chen, Jean-Bernard Lasserre, Victor Magron +1
The Lipschitz constant of a network plays an important role in many applications of deep learning, such as robustness certification and Wasserstein Generative Adversarial Network.…