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Probabilities and Deep Learning

Topics include: Expectation-Maximization & Matrix Capsule Networks; Determinantal Point Process & Neural Networks compression; Kalman Filter & LSTM; Model estimation & Binary classifier 主题包括:EM算法和矩阵胶囊网络; 行列式点过程和神经网络压缩; 卡尔曼滤波器和LSTM; 模型估计和二分类问题关系

Detailed illustration of Noise Contrastive Estimation (detals & derivations), Probability Density Re-parameterization, Natural Gradients 噪声对比估计 (NCE)、概率密度再参数化以及自然梯度的详细说明

Video Tutorial to these notes.

  • I recorded about 20% of these notes in videos in 2015 in Mandarin (all my notes and writings are in English) You may find them on Youtube and bilibili and Youku 我在2015年用中文录制了这些课件中约20%的内容 (我目前的课件都是英文的)大家可以在Youtube 哔哩哔哩 and 优酷 下载

Data Science

An extremely gentle 30 minutes introduction to AI and Machine Learning. Thanks to my PhD student Haodong Chang for assist editing

Classification: Logistic and Softmax; Regression: Linear, polynomial; Mix Effect model [costFunction.m] and [soft_max.m]

collaborative filtering, Factorization Machines, Non-Negative Matrix factorisation, Multiplicative Update Rule

classic PCA and t-SNE

Three perspectives into machine learning and Data Science. Supervised vs Unsupervised Learning, Classification accuracy

Deep Learning (jupyter style notes coming in 2018)

Optimisation methods in general. not limited to just Deep Learning

basic neural networks and multilayer perceptron

detailed explanation of CNN, various Loss function, Centre Loss, contrastive Loss, Residual Networks, YOLO, SSD

Word2Vec, skip-gram, GloVe, Noise Contrastive Estimation, Negative sampling, Gumbel-max trick

RNN, LSTM, Seq2Seq with Attenion, Beam search, Attention is all you need, Convolution Seq2Seq, Pointer Networks

basic knowledge in reinforcement learning, Markov Decision Process, Bellman Equation and move onto Deep Q-Learning (under construction)

basic knowledge in Restricted Boltzmann Machine (RBM)

Probability and Statistics Background

revision on Bayes model include Bayesian predictive model, conditional expectation

some useful distributions, conjugacy, MLE, MAP, Exponential family and natural parameters

useful statistical properties to help us prove things, include Chebyshev and Markov inequality

Probabilistic Model

Proof of convergence for E-M, examples of E-M through Gaussian Mixture Model, [gmm_demo.m] and [kmeans_demo.m] and [优酷链接]

explain in detail of Kalman Filter and Hidden Markov Model, [kalman_demo.m] and [HMM 优酷链接] and [Kalman Filter 优酷链接]

Inference

explain Variational Bayes both the non-exponential and exponential family distribution plus stochastic variational inference. [vb_normal_gamma.m] and [优酷链接]

stochastic matrix, Power Method Convergence Theorem, detailed balance and PageRank algorithm

inverse CDF, rejection, adaptive rejection, importance sampling [adaptive_rejection_sampling.m] and [hybrid_gmm.m]

M-H, Gibbs, Slice Sampling, Elliptical Slice sampling, Swendesen-Wang, demonstrate collapsed Gibbs using LDA [lda_gibbs_example.m] and [test_autocorrelation.m] and [gibbs.m] and [优酷链接]

Sequential Monte-Carlo, Condensational Filter algorithm, Auxiliary Particle Filter [优酷链接]

Advanced Probabilistic Model

Dircihlet Process (DP), Chinese Restaurant Process insights, Slice sampling for DP [dirichlet_process.m] and [优酷链接] and [Jupyter Notebook]

Hierarchical DP, HDP-HMM, Indian Buffet Process (IBP)

explain the details of DPP’s marginal distribution, L-ensemble, its sampling strategy, our work in time-varying DPP

Special Thanks

  • I would like to thank my following PhD students for help me proofreading, and provide great discussions and suggestions to various topics in these notes, including (but not limited to) Hayden Chang, Shawn Jiang, Erica Huang, Deng Chen, Ember Liang; 特别感谢我的博士生团队的协助我一起校队课件,还有讨论以及对课件提出了许多非常宝贵的意见。其中(不完全的)包括了,常皓东,姜帅,黄皖鸣,邓辰,梁轩

  • Special thanks to Dr Haiguang Huang for his efforts to translate my content into Chinese 特别感谢黄海广博士协助我将课件目录翻译成中文

  • I always look for high quality PhD students in Machine Learning, both in terms of probabilistic model and Deep Learning models. Contact me on YiDa.Xu@uts.edu.au

About

My continuously updated Machine Learning, Probabilistic Models and Deep Learning notes and demos (1000+ slides) 我不间断更新的机器学习,概率模型和深度学习的讲义(1000+页)和视频链接

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