Tensor - PowerPoint PPT Presentation


Insights into Symmetry and Magnetism in Summer School Curriculum

Delve into the principles and applications of symmetry in magnetism through topics like tensor transformations, Edelstein effect, and breaking inversion symmetry in magnetic materials. Explore the role of crystal structures and interfaces in breaking symmetry, especially in antiferromagnets, providi

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Diffusion Weighted Imaging (DWI) in Neuroimaging Research

This content delves into the significance of Diffusion Weighted Imaging (DWI) in studying the motion of water molecules in brain tissue. It explains how water diffusion varies in different brain matter types and explores techniques like Diffusion Tensor Imaging (DTI). The impact factors on diffusion

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Classical Mechanics at Neotech Institute of Applied Science and Research, Virod

Delve into the world of Classical Mechanics in B.Sc Semester-V at Neotech Institute of Applied Science and Research, located in Virod, Vadodara. Explore topics such as motion of rigid bodies, angular momentum, Euler's theorem, inertia tensor, and Euler's equations of motion through a comprehensive s

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Seismic Source Parameters in Earthquake Dynamics

The seismic source parameters in earthquake dynamics involve describing a fault as a discontinuity causing displacements, requiring a complex treatment of forces. The Earth's equilibrium necessitates a specific system of forces to explain displacements along faults. The seismic moment tensor, consis

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The Energy-Momentum Tensor of the Electromagnetic Field

Exploring the intricacies of the energy-momentum tensor of the electromagnetic field, including its components, symmetries, and implications on field interactions and invariants. Delve into the mathematical derivations and transformations involved in studying this fundamental concept in electromagne

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Nucleon Structure: Insights from EIC Workshop

Exploring the mechanics of nucleons and the physics goals of the Electron-Ion Collider (EIC), this content delves into the origin of nucleon mass and spin, emergent properties of dense gluon systems, and energy-momentum tensor in QCD. It discusses the role of gluons in understanding nucleon structur

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Flowing Gluon Fields and Color Glass Phenomena in QCD

Explore the collective phenomena of gluon fields in classical QCD, focusing on the Standard Model of URHICs, Color Glass, and Gluon Fields in the Forward Lightcone. The research delves into topics like local thermal equilibrium, viscous hydrodynamics, and the interaction of probes with quarks and gl

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TensorFlow for Social Good: Session Insights and Tips

Delve into Session 3 of TensorFlow for Social Good with Zhixun Jason He, covering topics such as TensorFlow model training loops, regularization techniques, tensor concepts, learning rate scheduling, and custom loss functions. Discover practical tips and valuable resources to enhance your understand

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Robust Parity Test for Extracting Parallel Vectors in 3D

Fundamental primitives for visualizing 3D data include line features like ridges and valleys of a scalar field, stream lines of a vector field, vortices of a velocity field, and extremal curves of a tensor field. Parallel Vectors (PV) provide a unified representation of 3D line features, forming con

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Overcoming Memory Constraints in Deep Neural Network Design

Limited availability of high bandwidth on-device memory presents a challenge in exploring new architectures for deep neural networks. Memory constraints have been identified as a bottleneck in state-of-the-art models. Various strategies such as Tensor Rematerialization, Bottleneck Activations, and G

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Insights into Dark Energy Detection and Gravity Tests

This collaboration delves into direct detection of dark energy, evidencing acceleration in expansion and delving into the evolution of background cosmology. Gravity tests, including solar system trials, are discussed, along with models like f(R) gravity and chameleon screening in the context of scal

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The Acceleration of the Universe and the Equivalence Principle Violation in the Horndeski Vector-Tensor Theory

Exploring the implications of the Equivalence Principle Violation after reheating in the context of the accelerated expansion of the universe. The study delves into the Horndeski vector-tensor theory, gravitational waves, and the impact of modified gravity and dark energy. Insights are provided on t

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The Hall Effect in Conductors

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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Improved Rectangular Matrix Multiplication Using Coppersmith-Winograd Tensor

In this research, the complexity of rectangular matrix multiplication is enhanced by analyzing the fourth power of the Coppersmith-Winograd tensor. By extending the understanding of the tensor's power, significant advancements have been made in the efficiency of non-square matrix multiplication, sur

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Nucleon Spin Decomposition and Proton Spin Problem

Explore the complex realm of nucleon spin decomposition and the enigmatic proton spin problem, delving into concepts like orbital angular momentum, quarks and gluons' helicity, and longitudinal double spin asymmetry in polarized deep inelastic scattering. Learn about the spin crisis, gluon polarizat

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Dynamic Load Balancing in Block-Sparse Tensor Contractions

This paper discusses load balancing algorithms for block-sparse tensor contractions, focusing on dynamic load balancing challenges and implementation strategies. It explores the use of Global Arrays (GA), performance experiments, Inspector/Executor design, and dynamic buckets implementation to optim

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Communication Costs in Distributed Sparse Tensor Factorization on Multi-GPU Systems

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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Spontaneous Scalarization in Gravitational Theories

Spontaneous scalarization presents a unique phenomenon where compact objects experience field growth triggered by tachyonic instability, leading to stable field configurations. Explored in various theories, such as Horndeski gravity and scalar Gauss-Bonnet gravity, spontaneous scalarization is studi

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Non-Negative Tensor Factorization with RESCAL

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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Nonstationary Configurations of a Spherically Symmetric Scalar Field

Action and stress-energy tensor, Einstein-Klein-Gordon equations, and method for constructing nonstationary configurations of a spherically symmetric scalar field are discussed in this study. The behavior of the characteristic function allows interpretations such as black holes, wormholes, or naked

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Google's Tensor Processing Unit (TPU) and Deep Neural Networks in Parallel Computing

Delve into the world of Google's TPU and deep neural networks as key solutions for speech recognition, search ranking, and more. Learn about domain-specific architectures, the structure of neural networks, and the essence of matrix multiplication in parallel computing.

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Instant Travel Time Estimation with Sparse Trajectories

This research by Dr. Yu Zheng aims to estimate travel time on road networks instantly using historical and current trajectories generated by vehicles. The methodology involves a context-aware tensor decomposition approach, optimal concatenation, and frequent trajectory pattern mining to address chal

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Cutting-Edge Training Architecture Overview

Delve into the latest training innovations featuring NVIDIA Volta, Intel NNP-T/I, ScaleDeep, and vDNN. Learn about the impressive capabilities of the NVIDIA Volta GPU, Intel NNP-T with Tensor Processing Clusters, and Intel NNP-I for inference tasks. Explore the intricacies of creating mini-batches,

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Recent Achievement in Regge Theory for Photoproduction of Hadron Applications

Recent breakthrough in Regge theory explores photoproduction of hadrons, applying the Regge model to understand scaling with trajectory saturation. The study delves into reaction mechanisms at high energies, introducing gauge and tensor meson exchanges. Analysis includes convergence and dominance of

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ExTensor: An Accelerator for Sparse Tensor Algebra

Cutting-edge accelerator designed for sparse tensor algebra operations. It introduces hierarchical intersection architecture for efficient handling of sparse tensor kernels, unlocking potential in diverse domains like deep learning, computational chemistry, and more.

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The forces on a conductor

The forces and energy interactions on a conductor in electric fields are explored, including momentum flux density, Maxwell stress tensor, and force per unit area. The direction of forces and energy density are discussed in relation to surface charge density and charges constant. Understanding the b

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Context-aware Recommender Systems: Overview and Concepts

In this content, the Overview of COT (Contextual Operating Tensor) is presented, focusing on context-aware recommender systems. The images and related works delve into the tensor factorization and latent vectors of entities, illustrating computational procedures under different context combinations.

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Deep Learning with Pytorch: Neural Networks and Implementation

This comprehensive guide covers neural networks, deep learning concepts, Pytorch implementation for binary and multiclass classification, GPU utilization, activation functions, loss functions, forward propagation, tensor operations, and more. Dive into the world of artificial intelligence, machine l

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Thermodynamics of SU(3) Gauge Theory from Gradient Flow

Investigate nontrivial observables on the lattice, fluctuations, correlations, and the impact of coarse graining on the theory. Explore applications of gradient flow in understanding the energy-momentum tensor and operator relations in gauge theory.

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Electric Fields in Matter

This content delves into the fascinating world of electric fields in matter, exploring concepts such as polarization, the field of a polarized object, the electric displacement, and linear dielectrics. Discover how charges behave in conductors and insulators, and how dielectric atoms or molecules ar

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Shell Model Study in Nuclear Physics

In this nuclear physics study, the shell model approach was used to explore the A130 region, focusing on shapes, symmetries, and shell evolution in nuclei. Collaborators and experimental insights were also highlighted, along with discussions on proton-neutron interactions, tensor forces, and effecti

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Qualitative Research Guide

Yutaka Utsuno and team's research on shell model study for the A130 region, exploring shapes, symmetries, and nuclear evolution through large-scale shell-model calculations. The study delves into proton-neutron interactions, tensor forces, chiral partner bands, and effective interactions for isotope

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Holographic Description of Lifshitz Fluids and Black Holes

The study explores the correspondence between black holes and fluids in the context of hyperscaling-violating Lifshitz hydrodynamics. It delves into Lifshitz spacetimes, their holographic descriptions, and the fluid/gravity correspondence for Lifshitz spacetimes. The Einstein-Maxwell-Dilaton model a

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Graph and Tensor Mining: CMU SCS Insights

Discover the fascinating world of graph and tensor mining as explored by Luna Dong, Christos Faloutsos, Andrey Kan, Jun Ma, and Subho Mukherjee in the CMU SCS research. Delve into topics such as graph structures, tensors, embeddings, and inference methods showcased through visually appealing graphs

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Graph and Tensor Mining for Fun and Profit at CMU SCS

Explore the roadmap of graph mining at CMU SCS, covering topics like graph properties, node importance, community detection, fraud detection, and belief propagation. Learn about algorithms and solutions for breaking graphs into communities, including METIS and Fiedler vector techniques. Dive into th

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Communication Costs for Distributed Sparse Tensor Factorization on Multi-GPU Systems

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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Neural Network Deep Learning Concepts and Implementations

Explore the fundamentals of neural networks and deep learning with PyTorch in this comprehensive guide. Learn about artificial intelligence, machine learning, logistic regression, forward propagation, and tensor operations. Dive into topics like binary and multiclass classification, GPU utilization,

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Methods for High-dimensional Tensor Factorization

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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Belief Propagation Tensor Notation Guide

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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