diff --git a/arxiv-2507.22176.json b/arxiv-2507.22176.json new file mode 100644 index 0000000..da037cb --- /dev/null +++ b/arxiv-2507.22176.json @@ -0,0 +1,9 @@ +{ + "title": "Derivative Estimation from Coarse, Irregular, Noisy Samples: An MLE-Spline Approach", + "authors": ["Konstantin E. Avrachenkov", "Leonid B. Freidovich"], + "abstract": "We address numerical differentiation under coarse, non-uniform sampling and Gaussian noise. A maximum-likelihood estimator with L2-norm constraint on a higher-order derivative is obtained, yielding spline-based solution. We introduce a non-standard parameterization of quadratic splines and develop recursive online algorithms. Two formulations -- quadratic and zero-order -- offer tradeoff between smoothness and computational speed. Simulations demonstrate superior performance over high-gain observers and super-twisting differentiators under coarse sampling and high noise, benefiting systems where higher sampling rates are impractical.", + "arxiv_id": "2507.22176", + "pdf_url": "https://arxiv.org/pdf/2507.22176.pdf", + "code_url": "https://github.com/fleonid/MLEdiff", + "tasks": ["Numerical Differentiation"] +}