{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-03-19T09:10:36","modified_gmt":"2026-03-19T13:10:36","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/ericevert\/publications\/","title":{"rendered":"Publications and Preprints"},"content":{"rendered":"\n\n
    \n
  1. New Tools for Smoothed Analysis: Least Singular Value Bounds for Random Matrices with Dependent Entries (with A. Bhaskara, V. Srinivas, A. Vijayaraghavan) Submitted to Annual ACM Symposium on Theory of Computing 2024<\/li>\n<\/ol>\n\n\n\n\n\n\n

    Programming<\/strong><\/p>\n\n\n\n\n\n\n

      \n
    1. NCSE 2.3: An NCAlgebra package for optimization over free spectrahedra<\/a> (with M. de Oliveria, J. Yin, and J.W. Helton)<\/li>\n<\/ol>\n\n\n\n\n\n\n

      Science Communication<\/strong><\/p>\n\n\n\n\n\n\n

        \n
      1. Tensors and multilinear algebra: what and why<\/a> (with L. De Lauthawer) Leuven.AI Stories<\/li>\n<\/ol>\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n\n\n\n\n\n\n
          \n
        1. CPD computation via recursive eigenspace decompositions<\/a> (with M. Vandecappelle and L. De Lathauwer) Presented at IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2022.<\/li>\n\n
        2. Uniqueness result and algebraic algorithm for decomposition into multilinear rank-$(M_r,N_r,cdot)$ terms and joint block diagonalization<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer) Accepted to IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, December 2023.<\/li>\n<\/ol>\n\n\n\n\n\n\n

          Submitted Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

            \n
          1. New Tools for Smoothed Analysis: Least Singular Value Bounds for Random Matrices with Dependent Entries (with A. Bhaskara, V. Srinivas, A. Vijayaraghavan) Submitted to Annual ACM Symposium on Theory of Computing 2024<\/li>\n<\/ol>\n\n\n\n\n\n\n

            Programming<\/strong><\/p>\n\n\n\n\n\n\n

              \n
            1. NCSE 2.3: An NCAlgebra package for optimization over free spectrahedra<\/a> (with M. de Oliveria, J. Yin, and J.W. Helton)<\/li>\n<\/ol>\n\n\n\n\n\n\n

              Science Communication<\/strong><\/p>\n\n\n\n\n\n\n

                \n
              1. Tensors and multilinear algebra: what and why<\/a> (with L. De Lauthawer) Leuven.AI Stories<\/li>\n<\/ol>\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n\n\n\n\n\n\n
                  \n
                1. Matrix extreme points and free extreme points of free spectrahedra<\/a> (with A. Epperly, J.W. Helton, and I. Klep)<\/li>\n\n
                2. Decomposition of a tensor into multilinear rank-$(M_r,N_r,cdot)$ terms<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                  Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                    \n
                  1. CPD computation via recursive eigenspace decompositions<\/a> (with M. Vandecappelle and L. De Lathauwer) Presented at IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2022.<\/li>\n\n
                  2. Uniqueness result and algebraic algorithm for decomposition into multilinear rank-$(M_r,N_r,cdot)$ terms and joint block diagonalization<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer) Accepted to IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, December 2023.<\/li>\n<\/ol>\n\n\n\n\n\n\n

                    Submitted Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                      \n
                    1. New Tools for Smoothed Analysis: Least Singular Value Bounds for Random Matrices with Dependent Entries (with A. Bhaskara, V. Srinivas, A. Vijayaraghavan) Submitted to Annual ACM Symposium on Theory of Computing 2024<\/li>\n<\/ol>\n\n\n\n\n\n\n

                      Programming<\/strong><\/p>\n\n\n\n\n\n\n

                        \n
                      1. NCSE 2.3: An NCAlgebra package for optimization over free spectrahedra<\/a> (with M. de Oliveria, J. Yin, and J.W. Helton)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                        Science Communication<\/strong><\/p>\n\n\n\n\n\n\n

                          \n
                        1. Tensors and multilinear algebra: what and why<\/a> (with L. De Lauthawer) Leuven.AI Stories<\/li>\n<\/ol>\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n\n\n\n\n\n\n
                            \n
                          1. On best low rank approximation of positive definite tensors<\/a> (with L. De Lathauwer) SIAM J. Matrix Anal. Appl. <\/em><\/li>\n\n
                          2. Convexity of a certain operator trace functional<\/a> (with S. McCullough, T. \u0160trekelj, and\u00a0A. Vershynina) Linear Algebra Appl.<\/em><\/li>\n\n
                          3. Canonical Polyadic Decomposition via the generalized Schur decomposition<\/a> (with M. Vandecappelle and L. De Lathauwer) IEEE J. Signal Process. Lett.<\/em><\/li>\n\n
                          4. Guarantees for the existence of best low rank tensor approximations<\/a> (with L. De Lathauwer) SIAM J. Matrix Anal. Appl.<\/em><\/li>\n\n
                          5. A recursive eigenspace computation for the canonical polyadic decomposition<\/a> (with M. Vandecappelle and L. De Lathauwer) SIAM J. Matrix Anal. Appl. <\/em><\/li>\n\n
                          6. The Arveson boundary of a free quadrilateral is given by a noncommutative variety<\/a> Operators and Matrices.<\/em><\/li>\n\n
                          7. Empirical properties of optima in free semidefinite programs<\/a> (with Y. Fu, J.W. Helton, and J. Yin) Experimental Mathematics.<\/em><\/li>\n\n
                          8. Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions<\/a> (with J.W. Helton, S. Huang, and J. Nie) Numer. Funct. Anal. Optim.<\/em><\/li>\n\n
                          9. Arveson extreme points span free spectrahedra<\/a> (with J.W. Helton) Math. Ann.<\/em><\/li>\n\n
                          10. Matrix convex sets without absolute extreme points<\/a> Linear Algebra Appl. <\/em><\/li>\n\n
                          11. Extreme points of matrix convex sets, free spectrahedra and dilation theory<\/a> (with J.W. Helton, I. Klep, and S. McCullough.) J. of Geom. Anal.<\/em><\/li>\n\n
                          12. Circular free spectrahedra<\/a> (with J.W. Helton, I. Klep, and S. McCullough) J. Math. Anal. Appl. <\/em><\/li>\n\n
                          13. Factor postes of frames and duals in finite dimensions<\/a> (with M.S. Copenhaver, Y.H Kim, T. Klingler, S.K. Narayan, and S.T. Nghiem) Involve<\/em><\/li>\n<\/ol>\n\n\n\n\n\n\n

                            Preprints<\/strong><\/p>\n\n\n\n\n\n\n

                              \n
                            1. Matrix extreme points and free extreme points of free spectrahedra<\/a> (with A. Epperly, J.W. Helton, and I. Klep)<\/li>\n\n
                            2. Decomposition of a tensor into multilinear rank-$(M_r,N_r,cdot)$ terms<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                              Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                                \n
                              1. CPD computation via recursive eigenspace decompositions<\/a> (with M. Vandecappelle and L. De Lathauwer) Presented at IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2022.<\/li>\n\n
                              2. Uniqueness result and algebraic algorithm for decomposition into multilinear rank-$(M_r,N_r,cdot)$ terms and joint block diagonalization<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer) Accepted to IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, December 2023.<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                Submitted Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                                  \n
                                1. New Tools for Smoothed Analysis: Least Singular Value Bounds for Random Matrices with Dependent Entries (with A. Bhaskara, V. Srinivas, A. Vijayaraghavan) Submitted to Annual ACM Symposium on Theory of Computing 2024<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                  Programming<\/strong><\/p>\n\n\n\n\n\n\n

                                    \n
                                  1. NCSE 2.3: An NCAlgebra package for optimization over free spectrahedra<\/a> (with M. de Oliveria, J. Yin, and J.W. Helton)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                    Science Communication<\/strong><\/p>\n\n\n\n\n\n\n

                                      \n
                                    1. Tensors and multilinear algebra: what and why<\/a> (with L. De Lauthawer) Leuven.AI Stories<\/li>\n<\/ol>\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n\r\n
                                      \r\n\t
                                      \r\n\t\t
                                      \r\n\t\t\t
                                      \r\n\t\t\t\t\n

                                      Publications and Preprints<\/h1>\n\n\n\n

                                      Click here<\/a> for a list of publications of available on ArXiv.<\/p>\n\n\n\n\n\n

                                      Publications<\/strong><\/p>\n\n\n\n\n\n\n

                                        \n
                                      1. On best low rank approximation of positive definite tensors<\/a> (with L. De Lathauwer) SIAM J. Matrix Anal. Appl. <\/em><\/li>\n\n
                                      2. Convexity of a certain operator trace functional<\/a> (with S. McCullough, T. \u0160trekelj, and\u00a0A. Vershynina) Linear Algebra Appl.<\/em><\/li>\n\n
                                      3. Canonical Polyadic Decomposition via the generalized Schur decomposition<\/a> (with M. Vandecappelle and L. De Lathauwer) IEEE J. Signal Process. Lett.<\/em><\/li>\n\n
                                      4. Guarantees for the existence of best low rank tensor approximations<\/a> (with L. De Lathauwer) SIAM J. Matrix Anal. Appl.<\/em><\/li>\n\n
                                      5. A recursive eigenspace computation for the canonical polyadic decomposition<\/a> (with M. Vandecappelle and L. De Lathauwer) SIAM J. Matrix Anal. Appl. <\/em><\/li>\n\n
                                      6. The Arveson boundary of a free quadrilateral is given by a noncommutative variety<\/a> Operators and Matrices.<\/em><\/li>\n\n
                                      7. Empirical properties of optima in free semidefinite programs<\/a> (with Y. Fu, J.W. Helton, and J. Yin) Experimental Mathematics.<\/em><\/li>\n\n
                                      8. Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions<\/a> (with J.W. Helton, S. Huang, and J. Nie) Numer. Funct. Anal. Optim.<\/em><\/li>\n\n
                                      9. Arveson extreme points span free spectrahedra<\/a> (with J.W. Helton) Math. Ann.<\/em><\/li>\n\n
                                      10. Matrix convex sets without absolute extreme points<\/a> Linear Algebra Appl. <\/em><\/li>\n\n
                                      11. Extreme points of matrix convex sets, free spectrahedra and dilation theory<\/a> (with J.W. Helton, I. Klep, and S. McCullough.) J. of Geom. Anal.<\/em><\/li>\n\n
                                      12. Circular free spectrahedra<\/a> (with J.W. Helton, I. Klep, and S. McCullough) J. Math. Anal. Appl. <\/em><\/li>\n\n
                                      13. Factor postes of frames and duals in finite dimensions<\/a> (with M.S. Copenhaver, Y.H Kim, T. Klingler, S.K. Narayan, and S.T. Nghiem) Involve<\/em><\/li>\n<\/ol>\n\n\n\n\n\n\n

                                        Preprints<\/strong><\/p>\n\n\n\n\n\n\n

                                          \n
                                        1. Matrix extreme points and free extreme points of free spectrahedra<\/a> (with A. Epperly, J.W. Helton, and I. Klep)<\/li>\n\n
                                        2. Decomposition of a tensor into multilinear rank-$(M_r,N_r,cdot)$ terms<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                          Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                                            \n
                                          1. CPD computation via recursive eigenspace decompositions<\/a> (with M. Vandecappelle and L. De Lathauwer) Presented at IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2022.<\/li>\n\n
                                          2. Uniqueness result and algebraic algorithm for decomposition into multilinear rank-$(M_r,N_r,cdot)$ terms and joint block diagonalization<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer) Accepted to IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, December 2023.<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                            Submitted Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                                              \n
                                            1. New Tools for Smoothed Analysis: Least Singular Value Bounds for Random Matrices with Dependent Entries (with A. Bhaskara, V. Srinivas, A. Vijayaraghavan) Submitted to Annual ACM Symposium on Theory of Computing 2024<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                              Programming<\/strong><\/p>\n\n\n\n\n\n\n

                                                \n
                                              1. NCSE 2.3: An NCAlgebra package for optimization over free spectrahedra<\/a> (with M. de Oliveria, J. Yin, and J.W. Helton)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                                Science Communication<\/strong><\/p>\n\n\n\n\n\n\n

                                                  \n
                                                1. Tensors and multilinear algebra: what and why<\/a> (with L. De Lauthawer) Leuven.AI Stories<\/li>\n<\/ol>\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n\r\n
                                                  \r\n\t
                                                  \r\n\t\t
                                                  \r\n\t\t\t
                                                  \r\n\t\t\t\t\n

                                                  Publications and Preprints<\/h1>\n\n\n\n

                                                  Click here<\/a> for a list of publications of available on ArXiv.<\/p>\n\n\n\n\n\n

                                                  Publications<\/strong><\/p>\n\n\n\n\n\n\n

                                                    \n
                                                  1. On best low rank approximation of positive definite tensors<\/a> (with L. De Lathauwer) SIAM J. Matrix Anal. Appl. <\/em><\/li>\n\n
                                                  2. Convexity of a certain operator trace functional<\/a> (with S. McCullough, T. \u0160trekelj, and\u00a0A. Vershynina) Linear Algebra Appl.<\/em><\/li>\n\n
                                                  3. Canonical Polyadic Decomposition via the generalized Schur decomposition<\/a> (with M. Vandecappelle and L. De Lathauwer) IEEE J. Signal Process. Lett.<\/em><\/li>\n\n
                                                  4. Guarantees for the existence of best low rank tensor approximations<\/a> (with L. De Lathauwer) SIAM J. Matrix Anal. Appl.<\/em><\/li>\n\n
                                                  5. A recursive eigenspace computation for the canonical polyadic decomposition<\/a> (with M. Vandecappelle and L. De Lathauwer) SIAM J. Matrix Anal. Appl. <\/em><\/li>\n\n
                                                  6. The Arveson boundary of a free quadrilateral is given by a noncommutative variety<\/a> Operators and Matrices.<\/em><\/li>\n\n
                                                  7. Empirical properties of optima in free semidefinite programs<\/a> (with Y. Fu, J.W. Helton, and J. Yin) Experimental Mathematics.<\/em><\/li>\n\n
                                                  8. Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions<\/a> (with J.W. Helton, S. Huang, and J. Nie) Numer. Funct. Anal. Optim.<\/em><\/li>\n\n
                                                  9. Arveson extreme points span free spectrahedra<\/a> (with J.W. Helton) Math. Ann.<\/em><\/li>\n\n
                                                  10. Matrix convex sets without absolute extreme points<\/a> Linear Algebra Appl. <\/em><\/li>\n\n
                                                  11. Extreme points of matrix convex sets, free spectrahedra and dilation theory<\/a> (with J.W. Helton, I. Klep, and S. McCullough.) J. of Geom. Anal.<\/em><\/li>\n\n
                                                  12. Circular free spectrahedra<\/a> (with J.W. Helton, I. Klep, and S. McCullough) J. Math. Anal. Appl. <\/em><\/li>\n\n
                                                  13. Factor postes of frames and duals in finite dimensions<\/a> (with M.S. Copenhaver, Y.H Kim, T. Klingler, S.K. Narayan, and S.T. Nghiem) Involve<\/em><\/li>\n<\/ol>\n\n\n\n\n\n\n

                                                    Preprints<\/strong><\/p>\n\n\n\n\n\n\n

                                                      \n
                                                    1. Matrix extreme points and free extreme points of free spectrahedra<\/a> (with A. Epperly, J.W. Helton, and I. Klep)<\/li>\n\n
                                                    2. Decomposition of a tensor into multilinear rank-$(M_r,N_r,cdot)$ terms<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                                      Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                                                        \n
                                                      1. CPD computation via recursive eigenspace decompositions<\/a> (with M. Vandecappelle and L. De Lathauwer) Presented at IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2022.<\/li>\n\n
                                                      2. Uniqueness result and algebraic algorithm for decomposition into multilinear rank-$(M_r,N_r,cdot)$ terms and joint block diagonalization<\/a> (with I. Domanov, N. Vervliet, and L. De Lathauwer) Accepted to IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, December 2023.<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                                        Submitted Conference Papers<\/strong><\/p>\n\n\n\n\n\n\n

                                                          \n
                                                        1. New Tools for Smoothed Analysis: Least Singular Value Bounds for Random Matrices with Dependent Entries (with A. Bhaskara, V. Srinivas, A. Vijayaraghavan) Submitted to Annual ACM Symposium on Theory of Computing 2024<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                                          Programming<\/strong><\/p>\n\n\n\n\n\n\n

                                                            \n
                                                          1. NCSE 2.3: An NCAlgebra package for optimization over free spectrahedra<\/a> (with M. de Oliveria, J. Yin, and J.W. Helton)<\/li>\n<\/ol>\n\n\n\n\n\n\n

                                                            Science Communication<\/strong><\/p>\n\n\n\n\n\n\n

                                                              \n
                                                            1. Tensors and multilinear algebra: what and why<\/a> (with L. De Lauthawer) Leuven.AI Stories<\/li>\n<\/ol>\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/users\/1370"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":7,"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":317,"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/pages\/19\/revisions\/317"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/ericevert\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}