M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
J. W. Bruce
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Elementary recursive complexity results in real algebraic geometry (Women in Mathematics)
I shall discuss two important results in real algebraic geometry - quantifier elimination, proving that the projection of a semi-algebraic set is semi-algebraic - Hilbert 17th problem, proving that a non negative polynomial is always a sum of squares of rational functions from the point of view of effectivity and complexity.
openaire
Optimal Transport Autoregression to Forecast High‐Frequency Financial Data Distributions
ABSTRACT In this paper, we study the properties and performance of optimal transport autoregression in modeling and forecasting high‐frequency financial data distributions. We build on a class of univariate autoregressive transport models recently proposed in the literature (Zhu and Müller) where the distributional time series dynamics is modeled ...
Paolo Pagnottoni
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A Review of Topological Data Analysis and Topological Deep Learning in Molecular Sciences. [PDF]
Wee J, Jiang J.
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Three‐Way Data Analysis With Explainable Tucker3 Clustering (XT3Clus)
ABSTRACT In an era of increasingly complex data, three‐way arrays capturing information across units, variables and occasions are ubiquitous in fields from chemometrics to finance. However, extracting meaningful and interpretable patterns from such data remain a significant challenge.
Mariaelena Bottazzi Schenone +3 more
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A multimodal framework for attenuation of piston and planar waves in impedance-lined ducts. [PDF]
Alrashdi A +3 more
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ABSTRACT Engineering educators need practical methods to identify which students are struggling and which course topics require additional instructional support. This study applies hierarchical Bayesian analysis to student performance data from the ASSISTments 2009 dataset containing 446,844 responses from 4151 students across 110 mathematical skills ...
Yiwei Sun
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Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
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