├── 9.2 Mixtures of Gaussians and Expectation-Maximization.ipynb ├── LICENSE ├── README.md ├── data └── 2d-em.csv └── imgs ├── convergence.png ├── expectation.png ├── gaussian_mixture.png ├── init.png ├── maximization.png ├── motivation.png └── testBird.jpg /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) Valentin Wolf & Payam Goodarzi 2018 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Expectation-Maximization 2 | Notebook with implementation and visualization of Gaussian Mixtures and the EM Algorithm. Based ob Chapter 9.2 of Christopher M. Bishop, Pattern recognition and machine learning, 2006 3 | -------------------------------------------------------------------------------- /data/2d-em.csv: -------------------------------------------------------------------------------- 1 | -2.761410251212899,-3.112990763242103 2 | 4.007362583821029,3.71590641799257 3 | 2.492739277752293,2.506345702583159 4 | 1.218215482989276,0.8266886495911332 5 | -1.266937922957662,-1.153238713911395 6 | 2.928279911628242,3.116987683207471 7 | -2.952491591871329,-2.679652341433645 8 | -1.201037836969598,0.002646175771751746 9 | 1.510645595000641,1.299601455221683 10 | 0.9692094614486524,-0.002194538421653736 11 | 1.108765224857402,2.516299317108956 12 | -0.1592333971077159,0.6510674687575255 13 | 2.242906312714564,2.133030103757571 14 | 1.440092226194162,1.298328110173604 15 | 0.2613604528472828,2.095766054669193 16 | 1.876451505461707,2.652549479225179 17 | 2.105971831409701,2.817459017410009 18 | -0.08730208186444166,1.078069906909972 19 | 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