Blar i forfatter "Pratihar, Rakhi"

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    • Shellability and homology of q-complexes and q-matroids 

      Ghorpade, Sudhir R.; Pratihar, Rakhi; Randrianarisoa, Tovohery H. (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-07-09)
      We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion of shellability for such complexes. It is shown that q-complexes formed by independent subspaces of a q-matroid are shellable. Further, we explicitly determine the homology of q-complexes corresponding to uniform q-matroids. We also outline some partial results concerning the determination of homology ...

    • Weight spectra of Gabidulin rank-metric codes and Betti numbers 

      Johnsen, Trygve; Pratihar, Rakhi; Verdure, Hugues (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-07-07)
      The Helmholtz equation has been used for modeling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation can quickly become unfeasible if one wants to study many different geometries for ranges of frequencies. We propose a machine learning approach, namely a feedforward dense neural network, for computing the average sound ...