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From quadrature to tensor networks
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Classroom Contents
Arithmetic Tensor Networks and Integration - IPAM at UCLA
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- 1 Intro
- 2 Tensor networks and quantum circuits
- 3 Tensor network contraction encodes many problems
- 4 Exact tensor network contraction
- 5 Approximate tensor network contraction
- 6 Approximate contraction often works well
- 7 Multivariable function integration
- 8 From quadrature to tensor networks
- 9 Arithmetic circuit representations
- 10 Arithmetic tensor network circuits
- 11 Examples
- 12 Polynomial integration
- 13 Exact contraction
- 14 Approximate contraction and integration
- 15 Simple case
- 16 Discovering identities
- 17 General case
- 18 Away from exact compressibility
- 19 dependence on number of variables N
- 20 Dependence on integrand
- 21 Integrand dependence cont'd
- 22 Gaussian integration in a hypercube
- 23 Summary
