value denoted by d∗) α, β are dual feasible if α ⪰ 0, (α, β ) ∈ dom G and G > −∞ Often simplified by making implicit constraint (α, β ) ∈ dom G explicit Feng Li (SDU) SVM December 28, 2021 21 / 82 Weak �m i=0 αiy(i) = 0 The basic idea of SMO Algorithm 1 SMO algorithm 1: Given a starting point α ∈ dom J 2: repeat 3: Select some pair of αi and αj to update next (using a heuristic that tries to pick

Algorithm 1. The algorithm usually starts 2 Algorithm 1: Gradient Descent Given a starting point ✓ 2 dom J repeat 1. Calculate gradient rJ(✓); 2. Update ✓ ✓ � ↵rJ(✓) until convergence criterion is satisfied (7) Algorithm 2: Stochastic Gradient Descent for Linear Regression 1: Given a starting point ✓ 2 dom J 2: repeat 3: Randomly shu✏e the training data; 4: for i = 1, 2, · · · , m do 5: ✓ ✓ � ↵rJ(✓; x(i)

differentiable function using gradient descent Algorithm 1 Gradient Descent 1: Given a starting point θ ∈ dom J 2: repeat 3: Calculate gradient ∇J(θ); 4: Update θ ← θ − α∇J(θ) 5: until convergence criterion (Contd.) Algorithm 2 Stochastic Gradient Descent for Linear Regression 1: Given a starting point θ ∈ dom J 2: repeat 3: Randomly shuffle the training data; 4: for i = 1, 2, · · · , m do 5: θ ← θ − α∇J(θ;

The algorithm achieves the convergence Algorithm 1: SMO algorithm 1: Given a starting point α ∈ dom J 2: repeat 3: Select some pair of αi and αj to update next (using a heuristic that tries to pick

installation is quite easy. Follow below steps to properly install Keras on your system. Step 1: Create virtual environment Virtualenv is used to manage Python packages for different projects. This will be helpful recommended to use a virtual environment while developing Python applications. Linux/Mac OS Linux or mac OS users, go to your project root directory and type the below command to create virtual environment configure python and pip executables in your shell path. Linux/Mac OS Now we have created a virtual environment named “kerasvenv”. Move to the folder and type the below command, $ cd kerasvenv

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历史平均（historical averaging） d.单边标签平滑（one-sided label smoothing） e.虚拟批量正则（virtual batch normalization） 2. GAN的理论与实现模型 24 03 GAN 的应用 01 生成式深度学习简介 02 GAN的理论与实现模型 04

software that you installed to prepare to run NGC containers on TITAN PCs, Quadro PCs, or NVIDIA Virtual GPUs (vGPUs). Procedure 1. Issue the command for the applicable release of the container that