Yuxing Liu

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20242026

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math.OC2025

On the Complexity of Decentralized Smooth Nonconvex Finite-Sum Optimization

Luo Luo, Yunyan Bai, Lesi Chen +2

We study the decentralized optimization problem $min_{x \in R^{d}} f (x) ≜ \frac{1}{m} \sum_{i = 1}^{m} f_{i} (x)$ , where the local function on the $i$ -th a…

math.OC2024

On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Åojasiewicz Condition

Yunyan Bai, Yuxing Liu, Luo Luo

This paper considers the optimization problem of the form $min_{x \in R^{d}} f (x) ≜ \frac{1}{n} \sum_{i = 1}^{n} f_{i} (x)$ , where $f (\cdot)$ satisfies the…

On the Complexity of Decentralized Smooth Nonconvex Finite-Sum Optimization

On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Åojasiewicz Condition

On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Åojasiewicz Condition