Tensors - PowerPoint PPT Presentation

This lecture delves into the principles and applications of symmetry in magnetism, covering topics such as the symmetry of response tensors, transformations of tensors, time-reversal symmetry, and beyond point groups. It explores the symmetry of local effects, equivalent magnetic configurations, exp

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Python is a powerful language for machine learning, but it can be slow for numerical computations. NumPy and SciPy are essential packages for working with matrices efficiently in Python. NumPy supports features crucial for machine learning, such as fast numerical computations and high-level math fun

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This project focuses on calculating modifications to the Newtonian gravitational force through experimental short-range tests of gravity. Utilizing the Standard-Model Extension (SME) test framework to search for potential violations of General Relativity and Newtonian Gravity. Key objectives include

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Precision in cosmological models based on teleparallel gravity is explored, including fundamental theories, modifications, and applications in the context of General Relativity. The construction principles of GR modifications, characteristic tensors, relation between different metric-affine geometri

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The Hall Effect in conductors is described in detail, showcasing how a magnetic field affects the conductivity tensor, breaking symmetry and leading to unique properties. The discussion covers the separation of the conductivity tensor, the impact of magnetic fields on conductivity components, and th

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TensorFlow, a popular open-source machine learning framework, offers various execution modes including graph and eager execution. It provides benefits such as distributed training and performance optimizations. The architecture involves assembling computational graphs and executing operations using

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This research delves into multimodal semantic indexing methods for image retrieval, focusing on extending Latent Semantic Indexing (LSI) and probabilistic LSI to a multi-modal setting. Contributions include the refinement of graph models and partitioning algorithms to enhance image retrieval from tr

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Researchers like C. J. Horowitz and Kwing-Lam Leung are exploring the effects of dark matter, scalar fields, and ultra-light dark matter on compact stars like neutron stars. Methods involve calculating tidal love numbers, using energy-momentum tensors, and studying equilibrium solutions. The study a

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This research paper presented an evaluation of communication costs for distributed sparse tensor factorization on multi-GPU systems. It discussed the background of tensors, tensor factorization methods like CP-ALS, and communication requirements in RefacTo. The motivation highlighted the dominance o

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This article discusses non-negative tensor factorization with RESCAL, covering topics such as Non-Negative Matrix Factorization, Multiplicative Updates, RESCAL for Relational Learning, and Non-Negative Constraint for RESCAL. It explores how factorizing matrices/tensors into non-negative factors can

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Explore the fundamentals of vectors, matrices, rotations, and coordinate transformations in Euclidean space. Learn about points, tensors, and the significance of vectors in representing physical quantities. Discover the Parallelogram Law and Coordinate Frames for effective visualization and computat

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The intricate world of crystals through symmetry principles, transformation of axes, and the role of vectors and tensors in understanding their physical properties. Dive into examples and constraints guiding these concepts, including Neumann's, Voigt's, and Curie's principles. Uncover the link betwe

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This study investigates the influence of pre-strain on the bendability of sheet metals, specifically focusing on a three-point bending test using the Gurson-Tvergaard-Needleman model. The research delves into the deformation behavior and fracture properties, particularly in AA5754 aluminum alloys, s

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Explore the world of deep learning with a comprehensive course offered by the Computer Science and Engineering Department at the Indian Institute of Technology Kharagpur. The course covers topics such as linear algebra basics, resources on deep learning, and understanding scalars, vectors, matrices,

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Evaluate communication costs for distributed sparse tensor factorization on multi-GPU systems in the context of Supercomputing 2017. The research delves into background, motivation, experiments, results, discussions, conclusions, and future work, emphasizing factors like tensors, CP-ALS, MTTKRP, and

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Explore the concepts of filtering in turbulent flows from a lecture by Prof. Rob Stoll at the University of Utah. Learn about calculating 3D energy spectra, filtering equations for incompressible flow, and more. Discover the implications of applying filters to compressible Navier-Stokes equations an

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Learn about distributed methods for high-dimensional and large-scale tensor factorization, a technique used to decompose tensors into core tensors and factor matrices. Discover the significance of tensor data in various applications such as context-aware recommendation and social network analysis.

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Explore the detection of beyond-quantum positive-over-all-pure-tensors (POPT) states in the context of measurement-device-independent scenarios at the Shenzhen-Nagoya Workshop on Quantum Science 2023. Learn about standard Bell scenarios, Generalized Bell scenarios, and the significance of General Pr

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Explore an alternate notation using tensors for the Belief Propagation algorithm in section 2, including tensor multiplication, marginalization, and rank-r tensor concepts. Understand the matrix-vector product, pointwise product, and more through detailed examples. Dive into the Sum-Product Belief P

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