PPT-Dimensionality reduction

CISC 5800 Professor Daniel Leeds The benefits of extra dimensions Finds existing complex separations between classes 2 The risks of toomany dimensions 3 High dimensions with kernels overfit the outlier data. Saul Kilian Q Weinberger Fei Sha Jihun Ham Daniel D Lee How can we search for low dimensional structure in high dimensional data If the data is mainly con64257ned to a low dimensional subspace then simple linear methods can be used to discover the s dimensionalityreduction dimensionality Nuno Vasconcelos ECE De p artment , UCSD p, Note this course requires a it is responsibility to define it (although we can talk) If you are too far from this, Introduction Mapping of multivariate data low-dimensional manifolds for visual in- spection is a commonly used technique in data analysis. The discovery of mappings that reveal the salient features of Structured Sparsity Models. Volkan Cevher. volkan@rice.edu. Sensors. 160MP. 200,000fps. 192,000Hz. 2009 - Real time. 1977 - 5hours. Digital Data Acquisition. Foundation: . Shannon/Nyquist sampling theorem. Dimensionality Reduction. Author: . Christoph. . Eick. The material is mostly based on the . Shlens. PCA. Tutorial . http://www2.cs.uh.edu/~. ceick/ML/pca.pdf. . and . to a lesser extend based on material . Kenneth D. Harris 24/6/15. Exploratory vs. confirmatory analysis. Exploratory analysis. Helps you formulate a hypothesis. End result is usually a nice-looking picture. Any method is equally valid – because it just helps you think of a hypothesis. Computer Graphics Course. June 2013. What is high dimensional data?. Images. Videos. Documents. Most data, actually!. What is high dimensional data?. Images – dimension 3·X·Y. Videos – dimension of image * number of frames. Roselyn. . Sands. Thomas . McCabe. 1. Context van de opdracht. 2. (. Remember. Darwin?). Survival. of the . Fittest. :. How « fit » are . you. ?. Do . you. « . work. smart »:. Right . person. http://www.cs.nyu.edu/yann (November2005.ToappearinCVPR2006)AbstractDimensionalityreductioninvolvesmappingasetofhighdimensionalinputpointsontoalowdimensionalmani-foldsothat Brendan and Yifang . April . 21 . 2015. Pre-knowledge. We define a set A, and we find the element that minimizes the error. We can think of as a sample of . Where is the point in C closest to X. . CISC 5800. Professor Daniel Leeds. The benefits of extra dimensions. Finds existing complex separations between classes. 2. The risks of too-many dimensions. 3. High dimensions with kernels over-fit the outlier data. Kenneth D. Harris. April 29, 2015. Predictions in neurophysiology. Predict neuronal activity from sensory stimulus/behaviour. “encoding model”. Predict stimulus/behaviour from neuronal activity. “decoding model”. Chapter 3. . Data Preprocessing. Jiawei Han, Computer Science, Univ. Illinois at Urbana-Champaign. , 2017. 1. 9/11/17. 2. Chapter 3: Data Preprocessing. Data Preprocessing: An Overview. Data . Cleaning. Md. . . Sujan. . Ali. Associate Professor. Dept. of Computer Science and Engineering. Jatiya. . Kabi. . Kazi. . Nazrul. Islam University. Dimensionality Reduction and Classification. V. ariance.