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Results for “POLYNOMIAL”
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Two-dimensional light-front ϕ 4 theory in a symmetric polynomial basis
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Polynomiality sum rules for generalized parton distributions of spin-1 targets
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Bond percolation thresholds on Archimedean lattices from critical polynomial roots
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Framework to Develop Time- and Voltage-Dependent Building Load Profiles Using Polynomial Load Models
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Polynomial-Spline Networks with Exact Integrals and Convergence Rates.
Abstract not provided.
Stable Computation of Generalized Matrix Functions via Polynomial Interpolation
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Properly Learning Decision Trees in almost Polynomial Time
We give an n O (log log n ) -time membership query algorithm for properly and agnostically learning decision trees under the uniform distribution over { ± 1} n . Even in the realizable setting, the previous fastest runtime was n O (log n ) , a consequence of a classic algorithm of Ehrenfeucht and Haussler. Our algorithm shares similarities with practical heuristics for learning decision trees, which we augment with additional ideas to circumvent known lower bounds against these heuristics. To analyze our algorithm, we prove a new structural result for decision trees that strengthens a theorem of O’Donnell, Saks, Schramm, and Servedio. While the OSSS theorem says that every decision tree has an influential variable, we show how every decision tree can be “pruned” so that every variable in the resulting tree is influential.
Wavefront aberration function in terms of R V Shack’s vector product and Zernike polynomial vectors
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