Yunyan Bai

dblp:368/4729 · DBLP profile ↗
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1ranked-venue papers
1as first author
1since 2021 · last 2024
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Artificial intelligence and machine learning · 1 · 1 first-author · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Mathematical optimization · 83% Computational complexity · 17%

Topics — the 6 heaviest of 6, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Mathematical optimization › distributed optimization
decentralized optimization
0.812024
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition · ICML 2024
Mathematical optimization
distributed optimization
0.812024
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition · ICML 2024
Mathematical optimization › continuous optimization
finite-sum optimization
0.812024
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition · ICML 2024
Mathematical optimization › continuous optimization › convex optimization
first-order methods
0.812024
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition · ICML 2024
Computational complexity › relativization
oracle lower bounds
0.812024
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition · ICML 2024
Mathematical optimization
polyak-łojasiewicz condition
0.812024
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition · ICML 2024

Methods — techniques the papers use, named apart from their topics

incremental first-order oracle · 0.8gradient method · 0.8
YearPublicationVenuePosition
2024 On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition
abstract
This paper considers the optimization problem of the form $\min_{{\bf x}\in{\mathbb R}^d} f({\bf x})\triangleq \frac{1}{n}\sum_{i=1}^n f_i({\bf x})$, where $f(\cdot)$ satisfies the Polyak–Łojasiewicz (PL) condition with parameter $\mu$ and $\{f_i(\cdot)\}_{i=1}^n$ is $L$-mean-squared smooth. We show that any gradient method requires at least $\Omega(n+\kappa\sqrt{n}\log(1/\epsilon))$ incremental first-order oracle (IFO) calls to find an $\epsilon$-suboptimal solution, where $\kappa\triangleq L/\mu$ is the condition number of the problem. This result nearly matches upper bounds of IFO complexity for best-known first-order methods. We also study the problem of minimizing the PL function in the distributed setting such that the individuals $f_1(\cdot),…,f_n(\cdot)$ are located on a connected network of $n$ agents. We provide lower bounds of $\Omega(\kappa/\sqrt{\gamma}\log(1/\epsilon))$, $\Omega((\kappa+\tau\kappa/\sqrt{\gamma})\log(1/\epsilon))$ and $\Omega\big(n+\kappa\sqrt{n}\log(1/\epsilon)\big)$ for communication rounds, time cost and local first-order oracle calls respectively, where $\gamma\in(0,1]$ is the spectral gap of the mixing matrix associated with the network and $\tau>0$ is the time cost of per communication round. Furthermore, we propose a decentralized first-order method that nearly matches above lower bounds in expectation.
Yunyan Bai, Yuxing Liu, Luo Luo
ICML1