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New algorithms tackle mixture models with Fourier transforms

Researchers have developed a new algorithm for learning mixture models that can handle heavy-tailed distributions, a significant improvement over previous methods that relied on low-degree moments. This novel approach utilizes efficient high-dimensional sparse Fourier transforms and does not require a minimum separation between cluster means, unlike algorithms for Gaussian mixtures. Additionally, a separate study introduces a regression framework that combines spectral representation learning with localized additive modeling to create interpretable models for heterogeneous data. AI

IMPACT Introduces novel algorithmic approaches for statistical modeling, potentially improving the robustness and interpretability of machine learning systems.

RANK_REASON Two distinct academic papers published on arXiv detailing new algorithms for statistical modeling.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New algorithms tackle mixture models with Fourier transforms

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Alkis Kalavasis, Pravesh K. Kothari, Shuchen Li, Manolis Zampetakis ·

    Learning Mixture Models via Efficient High-dimensional Sparse Fourier Transforms

    arXiv:2601.05157v2 Announce Type: replace-cross Abstract: In this work, we give a ${\rm poly}(d,k)$ time and sample algorithm for efficiently learning the parameters of a mixture of $k$ spherical distributions in $d$ dimensions. Unlike all previous methods, our techniques apply t…

  2. arXiv stat.ML TIER_1 English(EN) · Xin Huang, Jia Li, Jun Yu ·

    Cluster-Based Generalized Additive Models Informed by Random Fourier Features

    arXiv:2512.19373v3 Announce Type: replace Abstract: In developing data-driven modeling methodologies, there is an ongoing need to reconcile the strong predictive performance of opaque black-box models with the transparency required for critical applications. This work introduces …