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Tag: form

  • A formula for the area of a triangle: Useless, but explicitly in Deep Sets form

    A formula for the area of a triangle: Useless, but explicitly in Deep Sets form arXiv:2503.22786v1 Announce Type: cross Abstract: Any permutation-invariant function of data points $vec{r}_i$ can be written in the form $rho(sum_iphi(vec{r}_i))$ for suitable functions $rho$ and $phi$. This form – known in the machine-learning literature as Deep Sets – also generates a…

  • RieszBoost: Gradient Boosting for Riesz Regression

    RieszBoost: Gradient Boosting for Riesz Regression arXiv:2501.04871v1 Announce Type: new Abstract: Answering causal questions often involves estimating linear functionals of conditional expectations, such as the average treatment effect or the effect of a longitudinal modified treatment policy. By the Riesz representation theorem, these functionals can be expressed as the expected product of the conditional expectation…