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Tag: fisher

  • Fisher-Geometric Diffusion in Stochastic Gradient Descent: Optimal Rates, Oracle Complexity, and Information-Theoretic Limits

    Fisher-Geometric Diffusion in Stochastic Gradient Descent: Optimal Rates, Oracle Complexity, and Information-Theoretic Limits arXiv:2603.02417v1 Announce Type: new Abstract: We develop a Fisher-geometric theory of stochastic gradient descent (SGD) in which mini-batch noise is an intrinsic, loss-induced matrix — not an exogenous scalar variance. Under exchangeable sampling, the mini-batch gradient covariance is pinned down (to leading…

  • An approach to Fisher-Rao metric for infinite dimensional non-parametric information geometry

    An approach to Fisher-Rao metric for infinite dimensional non-parametric information geometry arXiv:2512.21451v1 Announce Type: new Abstract: Being infinite dimensional, non-parametric information geometry has long faced an “intractability barrier” due to the fact that the Fisher-Rao metric is now a functional incurring difficulties in defining its inverse. This paper introduces a novel framework to resolve the…

  • Interval Fisher’s Discriminant Analysis and Visualisation

    Interval Fisher’s Discriminant Analysis and Visualisation arXiv:2512.11945v1 Announce Type: new Abstract: In Data Science, entities are typically represented by single valued measurements. Symbolic Data Analysis extends this framework to more complex structures, such as intervals and histograms, that express internal variability. We propose an extension of multiclass Fisher’s Discriminant Analysis to interval-valued data, using Moore’s…

  • The Cosine Schedule is Fisher-Rao-Optimal for Masked Discrete Diffusion Models

    The Cosine Schedule is Fisher-Rao-Optimal for Masked Discrete Diffusion Models arXiv:2508.04884v1 Announce Type: new Abstract: In this work, we study the problem of choosing the discretisation schedule for sampling from masked discrete diffusion models in terms of the information geometry of the induced probability path. Specifically, we show that the optimal schedule under the Fisher-Rao…

  • Direct Fisher Score Estimation for Likelihood Maximization

    Direct Fisher Score Estimation for Likelihood Maximization arXiv:2506.06542v1 Announce Type: new Abstract: We study the problem of likelihood maximization when the likelihood function is intractable but model simulations are readily available. We propose a sequential, gradient-based optimization method that directly models the Fisher score based on a local score matching technique which uses simulations from…

  • How we matured Fisher, our A/B testing library

    How we matured Fisher, our A/B testing library submitted by /u/chomoloc0 [link] [comments] /u/chomoloc0 Go to original source