PPT-On Bias, Variance, 0/1-Loss, and the Curse-of-Dimensionality-2nd

Weiqiang Dong 1 Function Estimate Input O utput where target function is a single valued deterministic function of and is a random variable The goal is to obtain an estimate. Boosting, Bagging, Random Forests and More. Yisong Yue. Supervised Learning. Goal:. learn predictor h(x) . High accuracy (low error). Using training data {(x. 1. ,y. 1. ),…,(. x. n. ,y. n. )}. Person. 1 Rich Maclin Bias-Variance Decomposition for RegressionBias-Variance Analysis of Learning AlgorithmsEnsemble MethodsEffect of Bagging on Bias and Variance Example: 20 pointsy = x + 2 sin(1.5x) + N(0, 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 . 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. Loss density in ferrite. Gennady Romanov. November 11, 2014. Current dimensions. :. Ferrite: R = 170 mm; r = 105 mm; L = 130 mm;. L_total. = 555 mm; . L_coax. . = 355 mm; . L_tuner. = 200 mm; . R_drift_tube. Winter 2012. Daniel Weld. Slides adapted from Tom . Dietterich. , Luke Zettlemoyer, Carlos . Guestrin. , . Nick Kushmerick, Padraig Cunningham. © Daniel S. Weld. 2. Ensembles of Classifiers . Traditional approach: Use one classifier. Principle Component Analysis. Why Dimensionality Reduction?. It becomes more difficult to extract meaningful conclusions from a data set as data dimensionality increases--------D. L. . Donoho. Curse of dimensionality. Oliver Schulte. Machine Learning 726. Estimating Generalization Error. Presentation Title At Venue. The basic problem: Once I’ve built a classifier, how accurate will it be on future test data?. Problem of Induction: It’s hard to make predictions, especially about the future (Yogi Berra).. Determination . I. Fall . 2014. Professor Brandon A. Jones. Lecture 26: . Singular . Value . Decomposition and Filter Augmentations . Homework due Friday. Lecture quiz due Friday. Exam 2 – Friday, November 7. Devansh Arpit. Motivation. Abundance of data. Required storage space explodes!. Images. Documents. Videos. Motivation. Speedup Algorithms. Motivation. Dimensionality reduction for noise filtering. Vector Representation. John A. Lee, Michel Verleysen. 1. Dimensionality Reduction. By: . sadatnejad. دانشگاه صنعتي اميرکبير. (. پلي تکنيک تهران). Dim. Reduction- . Practical Motivations . 2. John A. Lee, Michel Verleysen, . Chapter4 . 1. Distance Preservation. دانشگاه صنعتي اميرکبير. (. پلي تکنيک تهران). 2. The motivation behind distance preservation is that any . Bias Variance Tradeoff. Guest Lecturer. Joseph E. Gonzalez. s. lides available here: . http://tinyurl.com/. reglecture. Simple Linear Regression. Y. X. Linear Model:. Response. Variable. Covariate. Slope. Analysis. CS771: Introduction to Machine Learning. Nisheeth. K-means loss function: recap. 2. X. Z.  . N. K. K.  .  .  . [. ,. . ] denotes a length . one-hot encoding of . .  . Remember the matrix factorization view of the k-means loss function?.