Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: LEAD: Least-Action Dynamics for Min-Max Optimization   Adversarial formulations such as generative adversarial networks (GANs) have
rekindled interest in two-player min-max games. A central obstacle in the
optimization of such games is the rotational dynamics that hinder their
convergence. Existing methods typically employ intuitive, carefully
hand-designed mechanisms for controlling such rotations. In this paper, we take
a novel approach to address this issue by casting min-max optimization as a
physical system. We leverage tools from physics to introduce LEAD (Least-Action
Dynamics), a second-order optimizer for min-max games. Next, using Lyapunov
stability theory and spectral analysis, we study LEAD's convergence properties
in continuous and discrete-time settings for bilinear games to demonstrate
linear convergence to the Nash equilibrium. Finally, we empirically evaluate
our method on synthetic setups and CIFAR-10 image generation to demonstrate
improvements over baseline methods.

12
The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat