PulseAugur
EN
LIVE 15:02:23

Research paper analyzes loss landscape of two-layer ReLU networks

A new research paper published on arXiv explores the loss landscape of two-layer ReLU networks, focusing on the impact of width-dependent hyperparameters and L2 regularization. The study derives conditions under which global minima can collapse to a zero solution, finding that the AdamW optimizer prevents this collapse, unlike SGD. Additionally, for networks with a single input dimension, an analytical solution for optimal parameters is presented, showing that L2 regularization's dimensionality-reducing effect strengthens with increased network width. AI

IMPACT Provides theoretical insights into the behavior of deep neural networks, potentially informing future optimization strategies.

RANK_REASON The cluster contains an academic paper detailing theoretical properties of neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Research paper analyzes loss landscape of two-layer ReLU networks

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Haruka Eshima, Makoto Yamada ·

    Effects of width-dependent model hyperparameters and $\ell_2$-regularization on the loss landscape of two-layer ReLU networks

    arXiv:2607.16720v1 Announce Type: new Abstract: Understanding deep neural networks remains a central challenge in machine learning. In particular, the theoretical properties of even two-layer ReLU networks, especially in the presence of weight decay, remain poorly understood. To …