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Related lectures (27)
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Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Signal Representations
Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.
Principles of Quantum Physics
Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.
Unitary Minimal Models: Representation Theory Insights
Covers the representation theory of unitary minimal models and the Virasoro algebra.
Configurations EC, BC, CC: Summary and Application Example
Covers common emitter, common base, and common collector configurations, with an example application of cascading circuits.
Spherical Hecke Algebra: Irreps and Eigenspaces
Covers the spherical Hecke algebra and finite-dimensional unitary representations.
Introduction to Quantum Mechanics
Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.
Matrix Factorizations: LU Decomposition
Introduces LU decomposition for efficient linear equation solving using matrix factorization.
Quantum circuit model of computation
Explores the quantum circuit model of computation, focusing on unitary gates and multi-controlled gates.
Diagonalisation of Symmetric Matrix by Orthogonal Matrix
Covers the method of diagonalizing a symmetric matrix using an orthogonal matrix.
Matrix Representation of Operators and Basis Transformation
Explores the matrix representation of operators and basis transformation in linear algebra.
Shor's factoring algorithm: Quantum Phase Estimation
Covers Shor's factoring algorithm and the link between order finding and factoring.
Matrix Factorization: Optimization and Evaluation
Explores matrix factorization optimization, evaluation methods, and challenges in recommendation systems.
Linear Algebra: Image and Kernel
Covers the concepts of image and kernel in linear algebra, focusing on uniqueness and orthogonal projections.
Stochastic Optimization and Adaptive Gradient Methods
Explores stochastic optimization, adaptive gradient methods, recommender systems, and matrix factorization in user-item rating matrices.
Unitary Group and Spectral Types
Covers the proof of unitary group uniqueness and spectral types.
Principal Series Representations in Mathematics
Explores Principal Series representations in mathematics, unitary properties, eigenvalues, and Satake parameter.
Extension of Linear Transformations
Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.
Determinant, Area, and Volume
Explores area determination, linear applications, matrix operations, and vector spaces.
Wigner Theorem; Translation Symmetry
Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.
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