arXiv subjects

Minh Tung Nguyen

Publications and source records attributed to Minh Tung Nguyen.

3 recordsLinked to original sources

arXiv2026

Optimality and Trade-offs in Fast BFT SMR (Extended Version)

Fast state-machine replication (SMR) protocols in the crash-fault setting have attracted significant interest in both academia and industry. This interest stems from their advantages over leader-based protocols, including low execution latency for non-conflicting commands, high throughput, improved availability, and increased fairness. While Fast SMR is well studied in the crash-fault setting, the Byzantine fault-tolerant (BFT) setting remains much less understood, with only a small number of existing Fast BFT SMR protocols. In this paper, we present tight upper and lower bounds on the replication factor required for Fast BFT SMR. We also present a suboptimal protocol that illustrates a trade-off between replication factor and recovery efficiency.

cs.DC↗

arXiv2024

Clarke's tangent cones, subgradients, optimality conditions and the Lipschitzness at infinity

We first study Clarke's tangent cones at infinity to unbounded subsets of $\mathbb{R}^n.$ We prove that these cones are closed convex and show a characterization of their interiors. We then study subgradients at infinity for extended real value functions on $\mathbb{R}^n$ and derive necessary optimality conditions at infinity for optimization problems. We also give a number of rules for the computing of subgradients at infinity and provide some characterizations of the Lipschitz continuity at infinity for lower semi-continuous functions.

math.OC↗

arXiv2023

Subdifferentials at infinity and applications in optimization

In this work, the notions of normal cones at infinity to unbounded sets and limiting and singular subdifferentials at infinity for extended real value functions are introduced. Various calculus rules for these notions objects are established. A complete characterization of the Lipschitz continuity at infinity for lower semi-continuous functions is given. The obtained results are aimed ultimately at applications to diverse problems of optimization, such as optimality conditions, coercive properties, weak sharp minima and stability results.

math.OC↗