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Condition Numbers and Eigenvalue Spectra of Shallow Networks on Spheres

arXiv:2511.02625v2 Announce Type: replace-cross Abstract: We present an estimation of the condition numbers of the emph{mass} and emph{stiffness} matrices arising from shallow ReLU$^k$ neural networks defined on the unit sphere~$mathbb{S}^d$. In particular, when ${theta_j^*}_{j=1}^n subset mathbb{S}^d$ is emph{antipodally quasi-uniform}, the…

SynQuE: Estimating Synthetic Dataset Quality Without Annotations

arXiv:2511.03928v1 Announce Type: new Abstract: We introduce and formalize the Synthetic Dataset Quality Estimation (SynQuE) problem: ranking synthetic datasets by their expected real-world task performance using only limited unannotated real data. This addresses a critical and open challenge where data…

NVIDIA Nemotron Nano V2 VL

arXiv:2511.03929v1 Announce Type: new Abstract: We introduce Nemotron Nano V2 VL, the latest model of the Nemotron vision-language series designed for strong real-world document understanding, long video comprehension, and reasoning tasks. Nemotron Nano V2 VL delivers significant improvements over our…

Generalizing Graph Transformers Across Diverse Graphs and Tasks via Pre-training

arXiv:2407.03953v4 Announce Type: replace Abstract: Graph pre-training has been concentrated on graph-level tasks involving small graphs (e.g., molecular graphs) or learning node representations on a fixed graph. Extending graph pre-trained models to web-scale graphs with billions of nodes in industrial…

scMEDAL for the interpretable analysis of single-cell transcriptomics data with batch effect visualization using a deep mixed effects autoencoder

arXiv:2411.06635v4 Announce Type: replace Abstract: Single-cell RNA sequencing enables high-resolution analysis of cellular heterogeneity, yet disentangling biological signal from batch effects remains a major challenge. Existing batch-correction algorithms suppress or discard batch-related variation rather than modeling it. We propose scMEDAL,…