Topics include: Expectation-Maximization & Matrix Capsule Networks; Determinantal Point Process & Neural Networks compression; Kalman Filter & LSTM; Model estimation & Binary classifier
Detailed illustration of Noise Contrastive Estimation (detals & derivations), Probability Density Re-parameterization, Natural Gradients
- 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
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
Supervised vs Unsupervised Learning, Classification accuracy
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, Capsule Networks, YOLO, SSD YOLO,SSD
Word2Vec, skip-gram, GloVe, Fasttext
RNN, LSTM, Seq2Seq with Attenion, Beam search, Attention is all you need, Convolution Seq2Seq, Pointer Networks
"Attention is all you need",Seq2Seq
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)
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
Proof of convergence for E-M, examples of E-M through Gaussian Mixture Model, [gmm_demo.m] and [kmeans_demo.m] and [Youku]
[gmm_demo.m] 和 [kmeans_demo.m] (http://v.youku.com/v_show/id_XMTM1MjY1MDU5Mg)**
explain in detail of Kalman Filter [Youku], [kalman_demo.m] and Hidden Markov Model [Youku]
(http://v.youku.com/v_show/id_XMTM1MzQ1NDk5Ng), [kalman_demo.m] (http://v.youku.com/v_show/id_XMTM2ODU1MzMzMg)**
explain Variational Bayes both the non-exponential and exponential family distribution plus stochastic variational inference. [vb_normal_gamma.m] and (http://v.youku.com/v_show/id_XMTM1Njc5NzkxNg)**
[vb_normal_gamma.m] (http://v.youku.com/v_show/id_XMTM1Njc5NzkxNg)**
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]
[adaptive_rejection_sampling.m] 和 [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 [Youku]
[lda_gibbs_example.m] 和 [test_autocorrelation.m] 和 [gibbs.m] (http://v.youku.com/v_show/id_XMTM1NjAyNDYyNA)**
Sequential Monte-Carlo, Condensational Filter algorithm, Auxiliary Particle Filter [Youku]
(http://v.youku.com/v_show/id_XMTM3MTE1Mjk2OA)**
Dircihlet Process (DP), Chinese Restaurant Process insights, Slice sampling for DP [dirichlet_process.m] and (http://v.youku.com/v_show/id_XMTM3NDY0MDkxNg) and [Jupyter Notebook]
[dirichlet_process.m] 和 [优酷链接] 和 [Jupyter Notebook]
Hierarchical DP, HDP-HMM, Indian Buffet Process (IBP)
非参贝叶斯扩展: 层次狄利克雷过程,分层狄利克雷过程-隐马尔可夫模型,印度自助餐过程(IBP)
explain the details of DPP’s marginal distribution, L-ensemble, its sampling strategy, our work in time-varying DPP
行列式点过程解释:行列式点过程的边缘分布,L-ensemble,其抽样策略,我们在“时变行列式点过程”中的工作细节
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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协助我一起校对课件,以及就课件内容所提出的想法和建议,团队成员包括(但不限于)常浩东,姜帅,黄皖鸣,邓辰,梁轩。
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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
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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
如果你想加入我的机器学习博士生团队或有兴趣实习, 请通过YiDa.Xu@uts.edu.au与我联系。