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Overview of Multitask Learning and Examples of Applications and Implementations

  Overview of Multitasking Learning Multi-Task Learning (Multi-Task Learning) is a machine learning techn...
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Protected: Mathematical Properties and Optimization of Sparse Machine Learning with Atomic Norm

Mathematical properties and optimization of sparse machine learning with atomic norm for digital transformation, artificial intelligence, and machine learning tasks L∞ norm, dual problem, robust principal component analysis, foreground image extraction, low-rank matrix, sparse matrix, Lagrange multipliers, auxiliary variables, augmented Lagrangian functions, indicator functions, spectral norm, robust principal component analysis, Frank-Wolfe method, alternating multiplier method in duals, L1 norm constrained squared regression problem, regularization parameter, empirical error, curvature parameter, atomic norm, prox operator, convex hull, norm equivalence, dual norm
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Protected: Definition and Examples of Sparse Machine Learning with Atomic Norm

Definitions and examples in sparse machine learning with atomic norm used in digital transformation, artificial intelligence, and machine learning tasks nuclear norm of tensors, nuclear norm, higher-order tensor, trace norm, K-order tensor, atom set, dirty model, dirty model, multitask learning, unconstrained optimization problem, robust principal component analysis, L1 norm, group L1 norm, L1 error term, robust statistics, Frobenius norm, outlier estimation, group regularization with overlap, sum of atom sets, element-wise sparsity of vectors, groupwise sparsity of group-wise sparsity, matrix low-rankness
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Overview of statistical learning theory (explanation without mathematical formulas)

On the theory of statistical properties of machine learning algorithms The theory of the statistical properties...
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Protected: Upper Bound Minimization Algorithm as Sequential Optimization in Machine Learning

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Protected: Optimization Using Lagrangian Functions in Machine Learning (3)Alternate Direction Multiplier Method

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Protected: Optimization using Lagrangian functions in machine learning (1)

Optimization using Lagrangian functions in machine learning for digital transformation, artificial intelligence, and machine learning tasks (steepest ascent method, Newton method, dual ascent method, nonlinear equality-constrained optimization problems, closed truly convex function f, μ-strongly convex function, conjugate function, steepest descent method, gradient projection method, linear inequality constrained optimization problems, dual decomposition, alternate direction multiplier method, regularization learning problems)
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Protected: Optimization Using Lagrangian Functions in Machine Learning (2) Extended Lagrangian Method

Overview of optimization methods and algorithms using extended Lagrangian function methods in machine learning for digital transformation, artificial intelligence, and machine learning tasks proximity point algorithm, strongly convex, linear convergence, linearly constrained convex optimization problems, strong duality theorem, steepest descent method, Moreau envelope, conjugate function, proximity mapping, dual problem, dual ascent method, penalty function method, barrier function method
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Overview and implementation of stochastic optimization in machine learning

Overview of Stochastic Optimization in Machine Learning Stochastic optimization represents a method of solvin...
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Protected: Fundamentals of convex analysis in stochastic optimization (2) Fenchel’s dual theorem, proximity maps and strongly convex functions

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