"Tensors in computations," (5 lectures: I, II, III, IV, V), Simons Semester on Computational Mathematics for the 21st Century, Polish Academy of Sciences, Gdańsk, Poland, July 3–9, 2022.

"Symmetric Grothendieck inequality," Applied Mathematics Seminar, Stanford University, Stanford, CA, May 25, 2022.

"Shepp *p*-product," Statistics Seminar,
University of California, Los Angeles, CA, April 28, 2022.

"From randomized linear algebra to semidefinite programming," Online Seminar Series on Numerical Linear Algebra [virtual], November 17, 2021.

"Separation-of-variables and tensor networks," Tensor Networks: Quantum Physics, Geometry and Applications [virtual], Levico Terme, Italy, July 26, 2021.

"Correlation matrices, matrix norms, and the Grothendieck inequality," SIAM Conference on Applied Linear Algebra [virtual], New Orleans, LA, May 17–21, 2021.

"What is a tensor," Parts I & II, Tutorials for Tensor Methods and Emerging Applications to the Physical and Data Sciences [virtual], Institute for Pure and Applied Mathematics, University of California, Los Angeles, CA, March 9 & 11, 2021.

"Tensors in computations," Opening Day for Tensor Methods and Emerging Applications to the Physical and Data Sciences [virtual], Institute for Pure and Applied Mathematics, University of California, Los Angeles, CA, March 8, 2021.

"Ubiquity of the exponent of matrix multiplication," 45th ISSAC Meeting [virtual], Kalamata, Greece, July 22, 2020.

"Optimization on flag manifolds," 5th IEEE CVPR Workshop on Differential Geometry in Computer Vision and Machine Learning [virtual], Seattle, WA, June 19, 2020.

"Matrix differential geometry," International Conference on Matrix Analysis and Applications, Department of Mathematics and Statistics, University of Nevada, Reno, NV, July 16, 2019.

"Numerical differential geometry," Mathematics Colloquium, Courant Institute of Mathematical Sciences, New York University, New York, NY, May 6, 2019.

"Numerical differential geometry," Distinguished Seminar Series in Computational Science and Engineering, Center for Computational Engineering, Massachusetts Institute of Technology, Cambridge, MA, April 25, 2019.

"Tropical geometry and deep learning," Meeting on Applied Algebraic Geometry, Department of Mathematics, Georgia Institute of Technology, Atlanta, April 13, 2019.

"Distances between objects of different dimensions," Workshop on Geometric Processing, Institute for Pure and Applied Mathematics, University of California, Los Angeles, CA, April 4, 2019.

"Complex tensor approximations," Workshop on Low-rank Optimization and Applications, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, April 2, 2019.

"Combinatorial geometry of deep neural networks," Triangle Lectures in Combinatorics, University of North Carolina, Chapel Hill, NC, November 10, 2018.

"Structured matrix computations via tensors," International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, September 16, 2018.

"Dictionaries from group representations," Applied and Computational Mathematics Seminar, Department of Mathematics, National University of Singapore, Singapore, August 17, 2018.

"Distances between objects of different dimensions," Applied and Computational Mathematics Seminar, Department of Mathematics, National University of Singapore, Singapore, August 14, 2018.

"Tensor network ranks," Workshop on Interplay of Tensor Structured Formats with Advanced PDE Discretizations, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria, June 14, 2018.

"Friends of Grassmannian," Mathematical Research Institute of Oberwolfach, Oberwolfach-Walke, Germany, April 26, 2018.

"Algebraic geometry in computational mathematics by way of multilinear algebra," GAGS: The Georgia Algebraic Geometry Symposium, Atlanta, GA, February 25, 2018.

"Algebraic methods in numerical computations," Colloquium, Department of Mathematics, Vanderbilt University, Nashville, TN, October 26, 2017.

"Structure tensors," Colloquium, Department of Mathematics, National University of Singapore, Singapore, September 20, 2017.

"Structure tensors," Smale Prize Lecture, Foundations of Computational Mathematics Conference, Barcelona, Spain, July 18, 2017.

"Tensors in computational mathematics," James H. Wilkinson Numerical Analysis and Scientific Computing Prize Lecture, SIAM Annual Meeting, Pittsburgh, PA, July 12, 2017.

"Tensor network ranks," International Conference on Engineering and Computational Mathematics, Hong Kong, June 1, 2017.

"More NP-hard tensor problems," Minisymposium on Optimization with Polynomials, Matrices and Tensors, SIAM Conference on Optimization, Vancouver, BC, May 22, 2017.

"Hypermatrices," Departmental Colloquium, Department of Mathematics, University of Utah, Salt Lake City, UT, April 20, 2017.

"Tensor network ranks," Statistics Seminar, Department of Statistics, University of Wisconsin, Madison, WI, April 12, 2017.

"Tensor network ranks," International Conference on Mathematics of Data Science, Hong Kong, March 23, 2017.

"Structured matrix computations via algebra," Algebra Seminar, School of Mathematics, Georgia Institute of Technology, Atlanta, GA, March 3, 2017.

"Fastest algorithms for structured matrices via algebra," Scientific Computing and Matrix Computations Seminar, Department of Mathematics, University of California, Berkeley, CA, January 18, 2017.

"Tensor network ranks," NIPS Workshop on Learning with Tensors, Barcelona, Spain, December 10, 2016.

"Tensors and hypermatrices," PIMS–CSC Distinguished Lectures, Department of Mathematics, Simon Fraser University, Vancouver, BC, December 2, 2016.

"From secant varieties to nuclear norm balls," Special Session on Applied Algebraic Geometry, AMS Fall Southeastern Sectional Meeting, Raleigh, NC, November 13, 2016.

"Fastest algorithms for structured matrices via algebra," Seminar on Real and Computational Algebraic Geometry, Department of Mathematics, Purdue University, West Lafayette, IN, September 22, 2016.

"Fastest algorithms for multilevel structured matrices," IEEE Information Theory Workshop, Cambridge, UK, September 14, 2016.

"Connectedness of tensor rank and multilinear rank," 20th ILAS Conference, Leuven, Belgium, July 13, 2016.

"Cohomology and data," NSF–CBMS Regional Research Conference, Austin, TX, June 2, 2016.

"New tensor product constructions for approximation theory," School of Mathematical Sciences, Fudan University, Shanghai, China, May 23, 2016.

"Ten open problems in tensor computations," Chern Institute of Mathematics, Tianjin, China, May 21, 2016.

"Cohomology and data," Joint Mathematics/Statistics Colloquium, Departments of Mathematics and Statistics, University of California, Davis, CA, April 28, 2016.

"Algebraic techniques in numerical computations," Center for Numerical Analysis Seminar, Department of Mathematics, University of Texas, Austin, TX, April 21, 2016.

"Hypermatrices," Mathematics Colloquium, Department of Mathematics, University of California, San Diego, CA, March 3, 2016.

"Blind multilinear identification and tensor nuclear norm," Workshop on Low Complexity Models in Signal Processing, Hausdorff Center for Mathematics, Bonn, Germany, February 16, 2016.

"Grothendieck constant and structured matrix computations," Workshop Optimization and Parsimonious Modeling, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, January 27, 2016.

"Grothendieck constant, quantum entanglement, and numerical stability," Workshop on Tensor Decompositions and Applications, Leuven, Belgium, January 18, 2016.

"Learning subspaces of different dimensions," Conference of the International Association for Statistical Computing–Asia Regional Section, Singapore, December 17–19, 2015.

"Higher-order cone programming," Machine Learning Thematic Trimester, International Centre for Mathematics and Computer Science, Toulouse, France, October 6–7, 2015.

"Fast randomized iteration for matrix inversion, eigenproblems, and exponentiation," Minisymposium on Numerical Linear Algebra Techniques in Massive Data Analysis, International Congress on Industrial and Applied Mathematics, Beijing, China, August 10–14, 2015.

"Structured matrix computations via tensor decompositions," Workshop in Low-Rank Optimization Techniques, Hausdorff Center for Mathematics, Bonn, Germany, June 8–12, 2015.

"Fast(est) algorithms for structured matrices via tensor decompositions," Applied Mathematics and Analysis Seminar, Duke University, Durham, NC, April 13, 2015.

"Fast(est) algorithms for structured matrices via tensor decompositions," Applied Mathematics Seminar, Stanford University, Stanford, CA, March 11, 2015.

"The role of tensors in numerical mathematics," Winter School on Search for Latent Variables: ICA, Tensors, and NMF, Grenoble, France, February 2–4, 2015.

"Schubert varieties and distances between subspaces of different dimensions," Workshop on Computational Algebraic Geometry, Foundations of Computational Mathematics Conference, Montevideo, Uruguay, December 18–20, 2014.

"Factoring arbitrary matrices into product of structured matrices," Workshop on Numerical Linear Algebra, Foundations of Computational Mathematics Conference, Montevideo, Uruguay, December 18–20, 2014.

"Factoring arbitrary matrices into product of structured matrices," Structured Matrices and Tensors: Analysis, Algorithms and Applications, National Taiwan University, Taipei, Taiwan, December 8–11, 2014.

"Distances between subspaces of different dimensions," Scientific Computing and Matrix Computations Seminar, University of California, Berkeley, CA, November 19, 2014.

"Connection Laplacian, Hodge Laplacian, and tensor Laplacian of a graph," Workshop on Spectral Algorithms: From Theory to Practice, Simons Institute for the Theory of Computing, Berkeley, CA, October 27–31, 2014.

"Learning subspaces of different dimensions," Workshop on Mathematical Issues in Information Sciences, Xi'an, China, July 5–10, 2014.

"Blind multilinear identification," Department of Mathematics, Tsinghua University, Beijing, China, June 19, 2014.

"Moment tensors and high angular resolution diffusion imaging," Minisymposium on Image Processing for Tensor- and Manifold-Valued Data, SIAM Conference on Imaging Science, Hong Kong, May 12–14, 2014.

"Hypermatrices," Mathematics Colloquium, Department of Mathematics, University of Wisconsin, Madison, WI, May 2, 2014.

"Hypermatrices," Mathematics Colloquium, Department of Mathematics, University of Illinois, Urbana-Champaign, IL, April 24, 2014.

"Learning subspaces of different dimensions," Statistics Colloquium, Department of Statistics, Pennsylvania State University, University Park, PA, April 17, 2014.

"Hypermatrices," Colloquium, Department of Mathematics and Statistics, McMaster University, Hamilton, ON, April 4, 2014.

"Subspace distances," Symposium on Hot Topics at the Interface of Mathematics and Engineering, Initiative for Mathematical Sciences and Engineering, University of Illinois, Urbana-Champaign, IL, February 24–25, 2014.

"Hodge decomposition in data analysis," Program on Low Dimensional Structure in High Dimensional Systems, Statistical and Applied Mathematical Sciences Institute, Research Triangle Park, NC, February 3–7, 2014.

"The role of tensors in numerical mathematics," Peaceman Lecture, Department of Computational and Applied Mathematics, Rice University, Houston, TX, January 27, 2014.

"Hodge decomposition in data analysis," AMS Short Course on Geometry and Topology in Statistical Inference, Joint Mathematics Meetings, Baltimore, MD, January 13, 2014.

"Tensors in optimization theory," International Conference on Engineering and Computational Mathematics, Hong Kong, December 16–18, 2013.

"Numerical linear algebra for subspace learning," TIMS Winter School for Scientific Computing, Taida Institute of Mathematical Sciences, National Taiwan University, Taipei, Taiwan, December 5, 2013.

"Tensors and hypermatrices," Mathematics Colloquium, Department of Mathematics, University of Alabama, Birmingham, AL, September 27, 2013.

"Symmetric tensors with positive decompositions," Minisymposium on Tensor Methods in Mathematics and Physics, ENUMATH Conference, École Polytechnique Fédérale de Lausanne, Switzerland, August 26–30, 2013.

"Blind multilinear identification," Minisymposium on Algebro-geometric Approaches to Tensor Spaces, Tensor Decomposition, and Identifiability, 2013 SIAM Conference on Applied Algebraic Geometry, Fort Collins, CO, August 1–4, 2013.

"Differentiable, continuous, and combinatorial Hodge theories," Minisymposium on Algebraic Aspects of Large-Scale Statistics, 2013 SIAM Conference on Applied Algebraic Geometry, Fort Collins, CO, August 1–4, 2013.

"Lectures on tensors and hypermatrices," (4 lectures), Centro de Estruturas Lineares e Combinatórias, University of Lisbon, Lisbon, Portugal, July 22–26, 2013.

"Algebraic geometry of matrices," (4 lectures: I, II, III, IV), Advanced School and Workshop on Matrix Geometries and Applications, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, July 1–12, 2013.

"Tensors and hypermatrices," 100th Anniversary of the School of Mathematics: Young Mathematician Forum, Peking University, Beijing, China, June 18–21, 2013.

"Multiplying higher-order tensors," Session on Multilinear Algebra and Tensor Decompositions, 18th ILAS Conference, Providence, RI, June 3–7, 2013.

"Complexity and symmetry," Special Session on Computability and Complexity in Discrete and Continuous Worlds, AMS Spring Central Sectional Meeting, Ames, IA, April 27–28, 2013.

"Hypermatrices," Departmental Colloquium, Department of Mathematics, University of Illinois, Chicago, IL, April 26, 2013.

"Hypermatrices," Center for Computational and Applied Mathematics Seminar, Department of Mathematics, Purdue University, West Lafayette, IN, April 5, 2013.

"Tensors and hypermatrices in physics, chemistry, and optimization," Laboratory for Advanced Numerical Simulations Informal Seminar, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, February 6, 2013.

"Tensors and hypermatrices," TIMS Seminar on Scientific Computing, Taida Institute for Mathematical Sciences, National Taiwan University, Taipei, Taiwan, January 2, 2013.

"Complexity of tensor problems and its implications in optimization," Workshop on Large Scale Conic Optimization, Institute for Mathematical Sciences, National University of Singapore, Singapore, November 19–23, 2012.

"From linear to multilinear," Linear Algebra and its Applications Conference, Department of Mathematics, University of Wisconsin, Madison, WI, October 11–13, 2012.

"Numerical computation beyond linear and convex," Symposium on Critical Challenges at the Interface of Mathematics and Engineering, Initiative for Mathematical Sciences and Engineering, University of Illinois, Urbana-Champaign, IL, September 17–18, 2012.

"Galois theory and numerical computations of structured eigen and singular values," Cortona Workshop on Structured Numerical Linear and Multilinear Algebra Problems, Katholieke Universiteit Leuven, Belgium, September 10–14, 2012.

"3-tensors as the boundary of tractability," Session on Structures, Complexities, and Eigenvalues of Tensor Forms and Polynomial Functions, International Symposium of Mathematical Programming, Technical University, Berlin, Germany, August 19–24, 2012.

"Principal components of cumulants," Section on Multiway World: Modern Data Analysis with Tensor Decompositions, Section on Statistical Computing, Joint Statistical Meetings, San Diego, CA, July 28–August 2, 2012.

"Mapping the connectome with convex algebraic geometry," Minisymposium on Convex Algebraic Geometry and Optimization, 2012 SIAM Annual Meeting, Minneapolis, MN, July 9–13, 2012.

"Principal components of cumulants," Workshop on Learning Theory and Approximation, Mathematical Research Institute of Oberwolfach, Oberwolfach-Walke, Germany, June 24–30, 2012.

"Hyperdeterminant and the condition number of a multilinear system," Minisymposium on Different Perspectives on Conditioning and Numerical Stability, 2012 SIAM Conference on Applied Linear Algebra, Valencia, Spain, June 18–22, 2012.

"Online ranking on random graphs," Conference on Statistical Learning and Data Mining, Department of Statistics, University of Michigan, Ann Arbor, MI, June 5–7, 2012.

"Decidability, complexity, and approximability of tensor eigenvalues and singular values," International Conference on Spectral Theory of Tensors, Chern Institute of Mathematics, Nankai University, Tianjin, China, May 29–June 1, 2012.

"Mapping the human brain connectome," Computational and Applied Mathematics Seminar, Department of Mathematics, University of California, San Diego, CA, May 22, 2012.

"Incompressive fluid flows, time-dependent electric fields, and the top 100 Netflix movies," Mathematical Physics Seminar, Department of Mathematics, University of Minnesota, Twin Cities, MN, May 8, 2012.

"Principal components of cumulants," Statistics Colloquia, Department of Statistics, Texas A&M University, College Station, TX, April 26, 2012.

"Hodge decomposition and online ranking on random graphs," Monthly Workshop on Topology: identifying order in complex systems, Department of Mathematics, University of Pennsylvania, Philadelphia, PA, April 4, 2012.

"Mathematics of the human brain connectome," Applied and Computational Mathematics Colloquium, Department of Mathematics, Princeton University, Princeton, NJ, April 2, 2012.

"Principal components of cumulants," IMA Workshop on Machine Learning: Theory and Computation, Institute for Mathematics and its Applications, University of Minnesota, Twin Cities, MN, March 26–30, 2012.

"Computational intractability of numerical multilinear algebra," Industrial Engineering and Operations Research Seminar, Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, March 19, 2012.

"Mapping the connectome with convex algebraic geometry," Applied Algebra Seminar, Department of Mathematics, Pennsylvania State University, State College, PA, March 14, 2012.

"Nonnegative definite tensors and neuroimaging," Symbolic Computation Seminar, Department of Mathematics, North Carolina State University, Raleigh, NC, February 29, 2012.

"Numerical computation beyond linear and convex," Theory Seminar, Department of Computer Science, University of Chicago, Chicago, IL, February 7, 2012.

"Hodge theory and the Netflix problem," AMS Special Session on Generalized Cohomology Theories in Engineering Practice, Joint Mathematics Meetings, Boston, MA, January 4, 2012.

"What is a positive definite tensor and how it can be used in neuroimaging," Seminar on Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data, Leibniz Center for Informatics, Dagstuhl, Germany, December 11–16, 2011.

"Hodge decomposition and the Netflix problem," Applied Algebra Days, Department of Mathematics, University of Wisconsin, Madison, WI, October 21–23, 2011.

"A multilinear algebraic view of linear algebra," Workshop on Tensor Products for High-Dimensional Problems, Trimester Program on Analysis and Numerics for High Dimensional Problems, Hausdorff Research Institute for Mathematics, Bonn, Germany, August 1–5, 2011.

"Difficulties of tensor methods in pattern recognition and machine learning," Seminar on Mathematical and Computational Foundations of Learning Theory, Leibniz Center for Informatics, Dagstuhl, Germany, July 17–22, 2011.

"Fundamental difficulties of numerical multilinear algebra," Householder Symposium XVIII, Tahoe City, CA, June 12–17, 2011.

"Harmonic analysis on symmetric tensors and neuroimaging," Fourth International Conference on Computational Harmonic Analysis, City University of Hong Kong, Hong Kong, May 23–27, 2011.

"Nuclear norm of multilinear forms and tensor rank," Minisymposium on An Algebraic View of Sparse Optimization, 2011 SIAM Conference on Optimization, Darmstadt, Germany, May 16–19, 2011.

"Multilinear algebra and its applications," Applied Mathematics and Analysis Seminar, Department of Mathematics, Duke University, Durham, NC, March 21, 2011.

"Multilinear algebra and its applications," Applied Mathematics Colloquia, Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL, March 9, 2011.

"Rank aggregation via Hodge theory," TTIC Colloquium, Toyota Technological Institute, Chicago, IL, February 21, 2011.

"Eigenvalues and eigenvectors of Cholesky decomposable tensors," Workshop on Eigenvalues of Nonnegative Tensors, Hong Kong Polytechnic University, Hong Kong, December 18, 2010.

"Cholesky decomposable tensors and multilinear Mercer kernels," NIPS '10 Workshop on Tensors, Kernels, and Machine Learning, Whistler, Canada, December 10–11, 2010.

"On the geometry of cumulants," Geometry Seminar, Department of Mathematics, Texas A&M University, College Station, TX, December 3, 2010.

"Cholesky decomposable tensors," Matrix Computations and Scientific Computing Seminar, Departments of Mathematics and EECS, University of California, Berkeley, CA, November 24, 2010.

"Convexity, secant varieties, and tensor approximations," Workshop on Convex Optimization and Algebraic Geometry, Program on Modern Trends in Optimization and its Application, Institute for Pure and Applied Mathematics (IPAM), Los Angeles, CA, September 28–October 1, 2010.

"Rank aggregation via Hodge theory," Workshop on The Mathematics of Ranking, American Institute of Mathematics (AIM), Palo Alto, CA, August, 16–20, 2010.

"Small tensor rank is in RP," Minisymposium on Multilinear Algebra: Computational Methods and Applications, 2010 SIAM Annual Meeting, Pittsburgh, PA, July 12–16, 2010.

"Multilinear algebra and its applications," LAA Plenary, 16th ILAS Conference, Pisa, Italy, June 21–25, 2010.

"Image processing with higher-order statistics on Grassmannians," Minisymposium on Emerging Themes in Geometric Data Modeling with Applications to Imaging, 2010 SIAM Conference on Imaging Science, Chicago, IL, April 12–14, 2010.

"Applied and computational multilinear algebra," Departmental Colloquium, School of Mathematics, University of Minnesota, Twin Cities, MN, February 18, 2010.

"Applied and computational multilinear algebra," Applied and Computational Mathematics Seminar, School of Mathematics, Georgia Institute of Technology, Atlanta, GA, February 15, 2010.

"Applied and computational multilinear algebra," Applied and Computational Mathematics Colloquium, Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, CA, February 8, 2010.

"Applied and computational multilinear algebra," Applied Mathematics Colloquium, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, February 5, 2010.

"Applied and computational multilinear algebra," Applied and Interdisciplinary Mathematics Seminar, University of Michigan, Ann Arbor, MI, February 1, 2010.

"Applied and computational multilinear algebra," Statistics Seminar, Department of Statistics, University of Chicago, Chicago, IL, January 20, 2010.

"Multilinear algebra in signal processing," AMS Special Session on Algebraic Methods in Signal Processing, Joint Mathematics Meetings, San Francisco, CA, January 13–16, 2010.

"The mathematics of data: Lectures I & II, Lectures III & IV," National Center for Theoretical Sciences, National Taiwan University, Taipei, Taiwan, December 21–22, 2009.

Part I: "Rank aggregation via Hodge theory," and Part II: "Rank aggregation via nuclear norm minimization," NIPS '09 Workshop on Advances in Ranking, Whistler, Canada, December 11–12, 2009.

"Most tensor problems are NP hard," Session on SDP and its Applications, 20th International Symposium of Mathematical Programming (ISMP), Chicago, IL, August 23–28, 2009.

"Principal cumulant component analysis," European Workshop on Challenges in Modern Massive Data Sets, Copenhagen, Denmark, July 1–4, 2009.

"Analysis of cumulants," Applied Mathematics Seminar, Department of Mathematics, Stanford University, Stanford, CA, March 6, 2009.

"Analysis of cumulants," Matrix Computations and Scientific Computing Seminar, Department of Mathematics, University of California, Berkeley, CA, April 15, 2009.

"Modeling and learning with tensors," Workshop on Future Directions in Tensor-based Computation and Modeling, National Science Foundation (NSF), Arlington, VA, February 20–21, 2009.

"Symmetric eigenvalue decompositions for symmetric tensors," Algebra and Discrete Mathematics Seminar, Department of Mathematics, University of California, Davis, CA, January 29, 2009.

"Lectures on numerical multilinear algebra I, II, III," Institute for Computational Mathematics Lecture Series, Hong Kong Baptist University, Hong Kong, January 5–7, 2009. [Ta Kung Pao coverage: "林力行浸大講科研"]

"Polynomial optimization in tensor computations," Workshop of Computational Polynomial Optimization and Multilinear Algebra, Hong Kong Polytechnic University, Hong Kong, December 22–23, 2008.

"Algebraic models for higher-order correlations," Workshop on Algebraic Statistics, Mathematical Sciences Research Institute (MSRI), Berkeley, CA, December 15–18, 2008.

"Graph Helmholtzian and rank learning," NIPS '08 Symposium and Workshop on Algebraic and Combinatorial Methods in Machine Learning, Vancouver/Whistler, Canada, December 11–12, 2008.

"Cumulant component analysis: a simultaneous generalization of PCA and ICA," Computational Algebraic Statistics, Theories and Applications, Kyoto University, Kyoto, Japan, December 10–11, 2008.

"Spectrum and pseudospectrum of a tensor," Minisymposium on Tensor Decompositions and Applications, 2008 SIAM Annual Meeting, San Diego, CA, July 11, 2008.

"Projection, matching and basis pursuits for multilinear approximations," Minisymposium on Nonlinear and Multilinear Approximations of Operators in Higher Dimensions, 2008 SIAM Annual Meeting, San Diego, CA, July 10, 2008.

"Lectures I: Tensor approximations, II: Conditioning and illposedness, III: Algorithms," Summer Graduate Workshop on Geometry and Representation Theory of Tensors for Computer Science, Statistics, and Other Areas, Mathematical Sciences Research Institute (MSRI), Berkeley, CA, July 7–18, 2008.

"Ranking via Hodge decompositions of graphs and skew-symmetric matrices," Workshop on Algorithms for Modern Massive Datasets, Stanford, CA, June 25–28, 2008.

"Hyperdeterminants, secant varieties, and tensor approximations," Mathematics Colloquium, Department of Mathematics, San Jose State University, San Jose, CA, April 23, 2008.

"Eigenvalues of tensors and spectral hypergraph theory," Matrix Computations and Scientific Computing Seminar, Department of Mathematics, University of California, Berkeley, CA, April 16, 2008.

"Numerical multilinear algebra: From matrices to tensors," Symposium on Gene Golub's Legacy: Matrix Computations — Foundation and Future, Stanford University, Stanford, CA, March 1, 2008.

"Multilinear algebra in signal processing and machine learning," Minisymposium on Numerical Multilinear Algebra, 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, July 17, 2007.

"Ten ways to decompose a tensor," Computer Science Colloquium, Department of Computer Science, University of Texas, Austin, TX, April 5, 2007.

"Ten ways to decompose a tensor," ITMAN Visiting Researcher Seminar, Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark, June 27, 2007.

"Numerical multilinear algebra in data analysis," Computer Science Colloquium, Department of Computer Science, Cornell University, Ithaca, NY, February 23, 2007.

"Numerical multilinear algebra in data analysis," ICES Seminar, Institute for Computational Engineering and Sciences, University of Texas, Austin, TX, February 13, 2007."Numerical multilinear algebra: a new beginning?," Matrix Computations and Scientific Computing Seminar, Department of Mathematics, University of California, Berkeley, CA, October 18, 2006.

"Multilinear least squares, eigenvalue, and singular value problems," Linear Algebra and Optimization Seminar, Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA, October 11, 2006.

"Multilinear algebra in data analysis: tensors, symmetric tensors, nonnegative tensors," one hour tutorial, Workshop on Algorithms for Modern Massive Datasets, Stanford, CA, June 21–24, 2006.

"Singular and eigenvalues of tensors, multilinear Perron-Frobenius theory, and spectral hypergraph theory," 1st IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Puerto Vallarta, Mexico, December 13–15, 2005.

"Optimal solutions to non-negative PARAFAC/multilinear NMF always exist," and "Hyperdeterminant and tensor rank," and "Multilinear spectral theory," Workshop on Tensor Decompositions and Applications, Centre International de rencontres Mathématiques, Luminy, France, August 29–September 2, 2005.

"Globally convergent algorithms for CANDECOMP/PARAFAC with semi-definite programming," and "Tensors for chemists and psychologists," 6th ERCIM Workshop on Matrix Computations and Statistics: Data Analysis — a key technology in modern society, European Research Consortium on Informatics and Mathematics, Copenhagen, Denmark, April 1–3, 2005.

"Low-rank approximation of tensors and the statistical analysis of multi-indexed data," Scientific Computing Seminar, Lawrence Berkeley National Laboratory, Berkeley, CA, March 11, 2005.

"Numerical multilinear algebra and multiway statistical models," Scientific Computing/Computational Mathematics Seminar, Department of Computer Science, Stanford University, Stanford, CA, November 1, 2004.

"What's possible and what's not possible in tensor decompositions," Workshop on Tensor Decompositions, American Institute of Mathematics (AIM), Palo Alto, CA, July 19–23, 2004.

"Geometric sparsity and mimetic discretization," Conference on Mimetic Discretizations of Continuum Mechanics, San Diego, CA, July 9–11, 2003.

"A multiscale technique for decomposing sparse matrices motivated by spectral sequences," Session on Computational Science and Engineering, 2003 SIAM Annual Meeting, Montréal, QC, June 16–20, 2003.

"Wavelet sets and the harmonic analysis of a discrete affine group," Special Session on Abstract Wavelet Theory, American Mathematical Society Western Sectional Meeting, San Francisco, CA, October 21–22, 2000.

**Contact:** Comments on these pages are welcome. Please write to
lekheng@uchicago.edu.