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Tensor Voices is a short podcast series about tensors.Themes and summary (AI-generated based on podcaster-provided show and episode descriptions):
➤ Multivariate data encoding • Rank-one tensor completion • Algebraic geometry • Block term decomposition • Symmetric tensors • Homogeneous polynomials • Nonlinear algebra • Data structure exploration • Principal component analysis"Tensor Voices" is a short podcast series that delves into the intricate world of tensors, providing a platform for discussions on how they encode multivariate data and their underlying mathematical principles. This podcast explores a range of topics within the realm of tensors, showcasing their versatility and applications across different fields. Central themes include the geometry of tensor completion, tensor network complexity, and tensor decomposition, with a particular focus on the mathematical structures and equations that govern these concepts.
Listeners can expect to learn about the role of tensors as compared to matrices, specifically their unique properties and why they are a fundamental concept in many mathematical applications. Specific discussions include the complexity of multilinear maps, signal processing applications, and general uses of tensor decompositions. There is also a consideration of symmetric tensors as homogeneous polynomials, shedding light on concepts like Waring rank and the complexity of polynomial equations.
Additionally, the podcast explores the broad presence of tensors in various mathematical and practical applications, highlighting advancements in algebraic complexity theory and numerical tensor calculus. The discussions extend to real-world applications, such as gene expression experiments and signal processing, illustrating the utility of tensors in analyzing and processing complex data.
Overall, "Tensor Voices" serves as an informative resource for those interested in mathematics, particularly in understanding the significance of tensors and related algebraic structures. It caters to an audience seeking insights into the theoretical foundation of tensors as well as their practical implications across disciplines.
| Episodes: |
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Kaie Kubjas 2021-Mar-29 |
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Paul Breiding 2021-Mar-29 |
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Alessandro Oneto 2021-Mar-29 |
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Mateusz Michalek 2021-Mar-29 |
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Anna Seigal 2021-Mar-29 |