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Researchers present new integral representations and bounds for two-layer ReLU networks

Researchers have developed a novel method for constructing explicit integral representations of two-layer ReLU networks, enabling simpler representations for multivariate polynomials. This approach yields quantitative bounds for function approximation, showing that errors are independent of dimension and degree. The bounds are instead determined by monomial expansion coefficients and the specific distribution used. AI

Summary written by gemini-2.5-flash-lite from 2 sources. How we write summaries →

IMPACT Introduces a new theoretical framework for understanding and approximating functions with two-layer ReLU networks.

RANK_REASON This is a research paper published on arXiv detailing a new mathematical approach for neural networks.

Read on arXiv stat.ML →

COVERAGE [2]

  1. arXiv stat.ML TIER_1 · Anthony Lee ·

    Explicit integral representations and quantitative bounds for two-layer ReLU networks

    arXiv:2604.23260v1 Announce Type: new Abstract: An approach to construct explicit integral representations for two-layer ReLU networks is presented, which provides relatively simple representations for any multivariate polynomial. Quantitative bounds are provided for a particular…

  2. arXiv stat.ML TIER_1 · Anthony Lee ·

    Explicit integral representations and quantitative bounds for two-layer ReLU networks

    An approach to construct explicit integral representations for two-layer ReLU networks is presented, which provides relatively simple representations for any multivariate polynomial. Quantitative bounds are provided for a particular, sharpened ReLU integral representation, which …