Isye 6740 homework 1

Here, give "digit" 6 label y = 1, and give "digit" 2 label y = 0. All the pixels in each image will be the feature (predictor variables) for that sample (i.e., image). Our goal is to build classifiers such that given a new testing sample, we can tell it is a 2 or a 6. Using the first 80% of the samples for training and remaining 20% for ...

Isye 6740 homework 1. CSE/ISYE 6740 Homework 1 solution $ 30.00. CSE/ISYE 6740 Homework 1 solution quantity. Add to cart. Category: CSE/ISYE 6740. Share. Description Description. 5/5 - (4 votes) 1 Probability [15 pts] 1. We select a positive integer I with P{I = n} = 1 2n . If I = n, we toss a coin with probability

(10 points) Now choose ` 1 distance (or Manhattan distance) between images (recall the definition from “Clustering” lecture)). Repeat the steps above. Repeat the steps above. Again construct a similarity graph with vertices corresponding to the images, and tune the threshold so that each node has at least 100 neighbors.

Brief Solution of HW#1 of ISyE 7406 General Peer Grader Guidance When grading your peers, you will not only learn how to improve your future homework submissions but you will also gain deeper understanding of the concepts in the assignments. When assigning scores, consider the responses to the questions given your understanding of the problem and using the solutions as a guide.ISYE 6740 Fall 2020 Homework 1 solution 1 Clustering [25 points] Givenmdata points xi,i= 1,... , m,K-means clustering algorithm groups them intokclusters by mini- mizing the distortion function over{rij, μj} J= ∑m. i= ∑k. j= rij‖xi−μj‖ 2 , whererij= 1 if xibelongs to thej-th cluster andrij= 0 otherwise.Fall 2017 ISYE 6740/CSE 6740/CS 7641: Homework 2 2 Instruction: Please write a report including answers to the questions and the plotted figures. Please write the code in MATLAB and submit your code in a 'zip' file via T-Square. You are only allowed to use existing package/library when the question suggests so.ISYE/CSE 6740 Homework 1 September 9, 2021 • Submit your answers as an electronic copy on Canvas. • No unapproved extension of deadline is allowed. Zero credit will be assigned for late submissions. Email request for late submission may not be replied. • Explicitly mention your collaborators if any. 1 Clustering[30 pts]View HW6_sol.pdf from ISYE 6740 at Georgia Institute Of Technology. ISyE 6740 1 ISyE 67...View homework1.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Homework 1 1 Clustering [60 points] [a-b] Given N data points xn (n = 1, . . . , N ), K-means clustering algorithmCS 7641 CSE/ISYE 6740 Homework 1 Solution October 7, 2015 1 Probability [15 pts] (a) Stores A, B, and C have 50, 75, and 100 employees and, respectively, 50, 60, and 70 percent of these are women. Resignations are equally likely among all employees, regardless of stores and sex. Suppose an employee resigned, and this was a woman.homework3.pdf. Cannot retrieve latest commit at this time. History. 124 KB. Contribute to hsharifi7/ISYE-6740 development by creating an account on GitHub.

Name. Computational Data Analysis: Learning, Mining, and Computation. Listed As. ISYE-6740. Credit Hours. 3. Available to. AN students. Description. …ISYE 6740 Homework 6 Fall 2020 Total 100 points. Shasha Liao . 1. AdaBoost. (30 points) Consider the following dataset, plotting in the following figure. The first two coordinates represent the value of two features, and the last coordinate is the binary label of the data.View homework1 (1).docx from FINC FINC-420 at The University of Tennessee, Knoxville. ISYE 6740 Summer 2023 Homework 1 (100 points) In this homework, the superscript of a symbol xi denotes the indexCSE/ISYE 6740 Homework 1 Probability $ 30.00 Buy This Answer; CSE/ISYE 6740 Homework 4 $ 30.00 Buy This Answer; CSE/ISYE 6740 Homework 3 Linear Regression CSE/ISYE 6740 Homework 1. [email protected] +1(541) 423-7793. Alabama.Math homework can sometimes feel like an insurmountable challenge. From complex equations to confusing word problems, it’s easy to get overwhelmed. However, with the right techniqu...a Using the normal equation and the model Eqn 1 derive the expectation E ˆ θ from ISYE 6740 at Georgia Institute Of Technology. Upload to Study. Expert Help. Study Resources. ... ISYE 6740. homework3_sol.pdf. Solutions Available. Georgia Institute Of Technology. ... Homework 2 Solutions.pdf. Solutions Available.

Homework assignments for ISYE 6740 Computational Data Analysis (Spring 2022) - isye_6740/Canlapan_Inah_HW5_Report.pdf at main · inahpatrizia/isye_6740Studying ISYE 6402 Time Series Analysis at Georgia Institute of Technology? On Studocu you will find assignments, lecture notes and much more for ISYE 6402 Georgia ... ISYE 6402 Homework 4. Assignments None. Lecture notes. Date Rating. year. Ratings. ISYE 6402 Module 1 Case Studies-1. 26 pages 2023/2024 None. 2023/2024 None. Save. M4-spectral ...View homework3.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Homework 3 100 points total. 1. Density estimation: Psychological experiments. (50 points) The data set n90pol.csvISYE 6740, Spring 2024, Homework 4 100 points 1. Optimization (35 points). Consider a simplified logistic regression problem. Given m training samples (xi, yi), i = 1,... , m. The data xi ∈ R 2 , and yi ∈ { 0 , 1 }. To fit a logistic regression model for classification, we solve the following optimization problem, where θ ∈ R is a ...

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ISYE 6740 Homework 6 Total 100 points. 1. AdaBoost. (30 points) Consider the following dataset, plotting in the following figure. The first two coordinates represent the value of two features, and the last coordinate is the binary label of the data.View HW4_Report_Part1.pdf from ISYE 6740 at Georgia Institute Of Technology. Ammar_Mariam_HW4_Q1_Q2 July 7, 2022 1 ISYE 6740 Summer Semester 1.1 Ammar Homework 4 Report 1.2 Questions 1 and 2 1.2.1 1.1 Probability [15 pts] (a) Stores A, B, and C have 50, 75, and 100 employees and, respectively, 50, 60, and 70 percent of these are women. Resignations are equally likely among all employees, regardless of stores and sex. Suppose an employee resigned, and this was a woman. What is the probability that she has […]ISYE 6740 Homework 5 Fall 2020 Total 100 points + 10 bonus points. Shasha Liao 1. SVM. (45 points) (a) (5 points) Explain why can. AI Homework Help. Expert Help. ... ISYE 6740. sol_hw3.pdf. Solutions Available. Baruch College, CUNY. CS 6740. View More. ISYE 6740 Homework 5 Fall 2020 Total 100 points + 10 bonus points. Shasha Liao 1.View HW6_sol.pdf from ISYE 6740 at Georgia Institute Of Technology. ISyE 6740 1 ISyE 67...

ISYE 6740 is CDA right? I certainly wouldn't call it an easier course. It's only homework and no exams so I guess maybe in terms of grading, but the content is quite difficult, and I found the homework challenging and time consuming. I also found the lectures really varied in quality, some homework questions you could solve with lecture ...See full list on studocu.com Exam 2 Cheat Sheet with formulas and answers. Simulation. T2 2020su solns v1 - Test solutions. Simulation. Exam1 - For Summer 2022. Simulation. Week 7 Homework Spring 2021 Simulation ISYE 6644 OAN O01. Simulation. All exams combined - no thank you.Different Machine Learning Algorithms taught during ISyE 6740 Computational Data Analysis course @Georgia Tech. About. Here are implementations of some algorithms I learned during machine learning courses taught at Georgia Tech. These implementations helped me get a better grasp of the algorithms. Most of the implementations here are developed ... ISYE 6740 Fall 2020 Homework 1 1 Clustering [25 points] Given m data points x i , i = 1 , . . . , m , K -means clustering algorithm groups them into k clusters by mini- mizing the distortion function over { r ij , μ j } J = m X i =1 k X j =1 r ij k x i - μ j k 2 , where r ij = 1 if x i belongs to the j -th cluster and r ij = 0 otherwise. All About Programming Languages. [email protected] WhatsApp: +1 419 -877-7882; Get Quote for Homework Help; Search for: SearchEducators also use FoondaMate to share learning materials with students, and to set and post homework. South African edtech startup FoondaMate has secured $2 million seed funding i...ISYE 6740 Homework 6 solution Spring 2021. Total 100 points + 10 bonus points. House price dataset (25 points). The HOUSES dataset contains a collection of recent real estate listings in San Luis Obispo county and around it. The dataset is provided in RealEstate. You may use “one-hot-keying” to expand the categorical variables.

ISYE 6740 HW1 Q3 Code - Code for Homework 1. Computational Data Analytics None. 42. Homework 3 Final Report. Computational Data Analytics None. 2. HW Week 1 2 - HW Week 1 Question 1 - N/A. Computational Data Analytics None. 15. Minkowski metric, feature weighting and anomalous cluster initializing in K-Means clustering Elsevier Enhanced Reader.

ISYE 6740 Homework 1 Solution.docx. Solutions Available. Georgia Institute Of Technology. ISYE 6740. SOLUTIONS MATH 123 Homework Section 13 Bar Graphs(4).docx. Solutions Available. Ivy Tech Community College, Northcentral. MATH 123. homework. H.W1. Solutions Available. New Jersey Institute Of Technology. MATH 611. (10 points) Now choose ` 1 distance (or Manhattan distance) between images (recall the definition from “Clustering” lecture)). Repeat the steps above. Repeat the steps above. Again construct a similarity graph with vertices corresponding to the images, and tune the threshold so that each node has at least 100 neighbors. This is a very good course. I think the difference between CDA and ML from CS is that there is much more theoretical aspect in CDA. At least one question per homework asks you to do the algorithm by hand so you truly understand what the algorithm does. Homework 1-3 are very tough but after Homework 4, the difficult drastically decreases.View Homework Help - ISYE 6740 Homework 3Total 100 points.1. Basic optimization.docx from ANTH 3143 at Vanderbilt University. ISYE 6740 Homework 3 Total 100 points. 1. Basic optimization. (30View 3.2A.Report.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Homework SOHAM GHOSH [email protected] 2.1 X ERN %Y'befo,l L ki ool e R %O(iz'(v, " o pot] o) = 2 toq 1€)AL )iyl AI Homework HelpView homework1.pdf from ISYE 6501 at Georgia Institute Of Technology. ISYE 6740 Fall 2021 Homework 1 (100 points + 2 bonus points) 1 Conception questions [30 points] Please provide a brief answer toView homework3.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Homework 3 100 points total. 1. Density estimation: Psychological experiments. (50 points) The data set n90pol.csvView 7401-HW9sol.pdf from ISYE 7401 at Georgia Institute Of Technology. ISyE 7401, Spring - 2019 Instructor : A.Shapiro Homework # 9 \u0010 \u0011 πi 1. Consider the logistic regression model log 1−πi = β0 +

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CSE/ISYE 6740 Homework 1 Probability $ 30.00 Buy This Answer; CSE/ISYE 6740 Homework 4 $ 30.00 Buy This Answer; CSE/ISYE 6740 Homework 3 Linear Regression CSE/ISYE 6740 Homework 1. [email protected] +1(541) 423-7793. Alabama.View Habibe_Tommy_HW1_report-2.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Fall 2021 Homework 1 (100 points + 2 bonus points) 1 - Conception questions [30 points] Please provideCS 7641 CSE/ISYE 6740 Homework 5 Yao Xie Deadline: Sunday April 15, 11:55pm • Submit your answers as an electronic copy on T-square. • No unapproved extension of deadline is allowed. Zero credit will be assigned for late submissions. Email request for late submission may not be replied. • For typed answers with LaTeX (recommended) or word processors, extra credits will be given.Question 11.1 Using the crime data set from Questions 8.2, 9.1, and 10.1, build a regression model using: 1. Stepwise regression 2. Lasso 3. Elastic net For Parts 2 and 3, remember to scale the data first - otherwise, the regression coefficients will be on different scales and the constraint won't have the desired effect. […] ISYE 6740 Homework 5 Fall 2020. Total 100 points + 10 bonus points. SVM. (45 points) (a) (5 points) Explain why can we set the margin c = 1 to derive the SVM formulation? (b) (10 points) Using Lagrangian dual formulation, show that the weight vector can be represented as w = ∑ n. i= αiyixi. where αi ≥ 0 are the dual variables. ISYE 6740 Fall 2020 Homework 1 1 Clustering [25 points] Given m data points x i , i = 1 , . . . , m , K -means clustering algorithm groups them into k clusters by mini- mizing the distortion function over { r ij , μ j } J = m X i =1 k X j =1 r ij k x i - μ j k 2 , where r ij = 1 if x i belongs to the j -th cluster and r ij = 0 otherwise. Child's Pose is probably one of the very first yoga poses you'll learn. We explain how to embrace your inner kid. Ready to breathe and stretch like your only worries are homework a...ISyE 6740 - Computational Data Analysis Fall 2022 Tentative Syllabus Instructor: Prof. Tuo Zhao, Groseclose 344, Email: [email protected] If you want to contact me via email, please include ISYE6740 in the subject! Time/Location: 11:00am - 12:15pm KAC2447 Office hour: 3pm-4pm MW Location: Groseclose 344 TA: Akshay Shetty, Email: [email protected] TA Office Hour: TBD During the office hour ...View HW6_sol.pdf from ISYE 6740 at Georgia Institute Of Technology. ISyE 6740 1 ISyE 67...View HW_1_ISyE_6740_Bhaumik_Nariya.pdf from ISYE 6416 at Georgia Institute Of Technology. ISyE 6740 Computational Data Analysis Homework #1 Bhaumik R Nariya GT ID 903432055 1. Probability Part A =Matthew Bartolini also broke down how he uses AI to help him to pick stocks for a fund that's up 11% year-to-date, in a recent interview with Bloomberg. Jump to ChatGPT would score... ….

View homework1.pdf from ISYE 6501 at Georgia Institute Of Technology. ISYE 6740 Fall 2021 Homework 1 (100 points + 2 bonus points) 1 Conception questions [30 points] Please provide a brief answer toCSE/ISYE 6740 Homework 1 • Submit your answers as an electronic copy. • No unapproved extension of deadline is allowed. Zero credit will be assigned for late submissions. Email request for late submission may not be replied. • For typed answers with LaTeX (recommended) or word processors, extra credits will be given. If you handwrite, try to be clear as much as possible.Hint: I did my homework and acted when I felt I had the advantage over other market players....TSLA If investors should have learned anything from Jeopardy super-champion James Hol...where r. nk = 1 if xn belongs to the k-th cluster and r. nk = 0 otherwise. (a) Prove that using the squared Euclidean distance kx. n − µ. kk. 2 as the dissimilarity function. and minimizing the distortion function, we will have. µ.ISYE 6740 Homework 5 Summer 2022. Total 100 points. 1 questions.(20 points) ... ISYE 6740 Homew ork 5. Summer 2022. T otal 100 p oints. 1. Conceptual questions. (20 p oin ts) (a) (5 p oin ts) Explain how w e con trol the data-fit complexity in regression trees. (b) (5 p oin ts) What’s the main difference b etw een b o osting and bagging?View homework1 (1).docx from FINC FINC-420 at The University of Tennessee, Knoxville. ISYE 6740 Summer 2023 Homework 1 (100 points) In this homework, the superscript of a symbol xi denotes the indexAre you experiencing issues with your TV? Is it displaying a fuzzy picture or producing no sound at all? Don’t panic. It’s time to call in a local TV technician. Before hiring any ...ISyE 6740 - Computational Data Analysis / Machine Learning I Spring 2018 ... Grading Policy: Homework - 25%, Midterm 1 - 20%, Midterm 2 - 20%, Final - 35%. Homework: Homework should be submitted before the deadline set in T- Square. No late submission will be accepted through email. We strongly encourage to use LaTeX for yourISYE 6740, Spring 2024, Homework 5. 100 points. Prof. Yao Xie 1. Comparing multi-class classifiers for handwritten digits classifi-cation. (20 points) This question is to compare different classifiers and their performance for multi-class classi- fications on the complete MNIST dataset at yann.lecun/exdb/mnist/. Isye 6740 homework 1, View ISYE 6740.docx from ENG 550 at Egerton University. ISYE 6740, Fall 2022, Homework 4 100 points + 5 bonus points 1. SVM (40 points). 1. (10 points) Explain why can we set the margin c = 1 to, Download Link: https://assignmentchef.com/product/solved-isye-6740-homework-5 where α i ≥ 0 are the dual variables. What does this imply in terms of how to relate data …, View Homework 5 report.pdf from CSE 6740 at Georgia Institute Of Technology. ISYE 6740 Homework 5 (Last homework.) Summer 2020 Total 100 points. 1. AdaBoost. (25 points) Consider the following, If you’re trying to help a student with math homework and questions involving slope come up, you might need a refresher on learning how to calculate this important measurement. Rea..., Homework assignments for ISYE 6740 Computational Data Analysis (Spring 2022) Jupyter Notebook 1 resource-allocation-using-optimization-algorithms resource-allocation-using-optimization-algorithms Public. Forked from MNoorFawi/resource-allocation-using-optimization-algorithms. Resource allocation using optimization algorithms and python. ..., ISYE 6740 Homework 1 Q1 (a) Q1 (b) In K-mean algorithm, there is a defined number of iterations in which in each iteration, either • a new mean is discovered that reduces the J cost function • or the current mean still is picked because the current cost function is producing the minimum, View homework3.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740, Spring 2024, Homework 3 100 points + 10 bonus points Prof. Yao Xie 1. Conceptual questions. [20 points] 1. (5 points), Chong Zhang Homework 1 ISyE 6740 August 27, 2019 1 Since the distortion function: J = ∑ N n =1 ∑ K k =1 r nk || x n-μ k || 2 and the dissimilarity function: || x n-μ k || 2 if we want to find the values for {r nk} and {μ k } to minimize J. We can perform a iteration of two steps: first,minimize J with respect to the {r nk}, keeping the ..., Homework 1 isye 6740 fall 2021 homework (100 points bonus points) conception questions please provide brief answer to each question. points) the main difference ... ISYE 6501 - Week 1 Homework; ISYE6501 Analytics Project LB; AD HW11 Full - Homework#11 - Optimization; Homework 5 - Basic Regression; Preview text., View homework1.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Spring 2022 Homework 1 (100 points + 5 bonus points) 1 Concept questions [30 points] Please provide a brief answer to, This is the most interesting class I have taken thus far of 4; others were ISYE 6501, MGMT 6203, HDDA. It is a must take if you are interested in ML. There are 2 midterms and 1 final with 5 homeworks. Midterms and final are take home and structured just like a homework. Each takes me ~10 to 15 hours to complete and are due every 2 weeks., Part Two (Handwritten digits classification). (20 points) Repeat the above using the MNIST. Data in our Homework 3. Here, give "digit" 6 label y = 1, and give "digit" 2 label y = 0. All the. pixels in each image will be the feature (predictor variables) for that sample (i.e., image). Our goal., ISYE 6740 Homework 5 Fall 2020. Total 100 points + 10 bonus points. SVM. (45 points) (a) (5 points) Explain why can we set the margin c = 1 to derive the SVM formulation? (b) (10 points) Using Lagrangian dual formulation, show that the weight vector can be represented as w = ∑ n. i= αiyixi. where αi ≥ 0 are the dual variables., ISYE6740- Homework 1 Solved Image compression using clustering [60 points] In this programming assignment, you are going to apply clustering algorithms for image compression. Your task is implementing K-means for this purpose. It is required you implementing the algorithms yourself rather than calling k-means from a package., Studying ISYE 6740 Computational Data Analytics at Georgia Institute of Technology? On Studocu you will find 26 coursework, assignments, lecture notes, practice. ... ISYE 6740 HW1 Q3 Code - Code for Homework 1. 4 pages 2023/2024 None. 2023/2024 None. Save. HW3 Solution. 3 pages 2020/2021 None. 2020/2021 None. Save. Sol3 - homework solution;, There are many websites that help students complete their math homework and also offer lesson plans to help students understand their homework. Some examples of these websites are ..., CS 7641 CSE/ISYE 6740 Homework 3 Yao Xie Deadline: Friday March. 2, Sat., 11:55pm • Submit your answers as an electronic copy on T-square. • No unapproved extension of deadline is allowed. Zero credit will be assigned for late submissions. Email request for late submission may not be replied. • For typed answers with LaTeX (recommended) or word processors, extra credits will be given., ISYE 6740 Homework 1 Solution.docx. Solutions Available. Georgia Institute Of Technology. ISYE 6740. SOLUTIONS MATH 123 Homework Section 13 Bar Graphs(4).docx. Solutions Available. Ivy Tech Community College, Northcentral. MATH 123. homework. H.W1. Solutions Available. New Jersey Institute Of Technology. MATH 611., ISYE 6740, Spring 2021, Homework 3 100 points Prof. Yao Xie . 1. Order of faces using ISOMAP [50 points] This question aims to reproduce the ISOMAP algorithm results in the original paper for ISOMAP, J.B. Tenenbaum, V. de Silva, and J.C. Langford, Science 290 (2000) ..., View Notes - homework1 from CS 7641 at Georgia Institute Of Technology. CS 7641 CSE/ISYE 6740 Homework 1 Le Song Deadline: Sep. 22 Tue, 11:55pm Submit your answers as an electronic copy on, Studying ISYE 6740 Computational Data Analytics at Georgia Institute of Technology? On Studocu you will find 26 coursework, assignments, lecture notes, practice. ... ISYE 6740 HW1 Q3 Code - Code for Homework 1. 4 pages 2023/2024 None. 2023/2024 None. Save. HW3 Solution. 3 pages 2020/2021 None. 2020/2021 None. Save. Sol3 - homework solution;, ISYE 6740 Homework 5 Summer 2021 Total 100 points + 5 bonus points. 1. House price dataset. (20 points) The HOUSES dataset contains a collection of recent real estate listings in San Luis Obispo county and around it. The dataset is provided in RealEstate.csv., ISYE 6740 is CDA right? I certainly wouldn’t call it an easier course. It’s only homework and no exams so I guess maybe in terms of grading, but the content is quite difficult, and I found the homework challenging and time consuming. I also found the lectures really varied in quality, some homework questions you could solve with lecture ..., View ISYE 6740 - (FA22) Syllabus.pdf from ISYE 6740 at Georgia Institute Of Technology. 8/20/2022 ONLINE MASTER OF SCIENCE IN ANALYTICS OMSA 6740 - COMPUTATIONAL D ATA ANALYSIS / MACHINE LEARNING ... (1) You can have up to 10 days of homework extension without penalty. Please email and notify your assigned TA to use an extension, ..., CSE/ISYE 6740 Homework 1 Solution February 9, 2020 1 Clustering [40 pts] (a) Prove that using the squared Euclidean distance kxn − µk k2 as the dissimilarity function and minimizing the distortion function, we will have P nk n k nr x µ = P . nk nr That is. Solutions available. CSE 6740., In this homework, the superscript of a symbol x i denotes the index of samples (not raising to ith power); this is a convention in this class.. 1 K-means clustering Given m data points x i, i = 1,…,m, K-means clustering algorithm groups them into k clusters by minimizing the distortion function over {r ij,µ j}. m k. J = XXrijkxi − µjk2, (1), 1 Kernels [20 points] TA: Rachmat Subagia (a) Identify which of the followings is a valid kernel. If it is a kernel, please write your answer explicitly as 'True' and give mathematical proofs. If it is not a kernel, please write your answer explicitly as 'False' and give explanations. [6 pts] Suppose K1 and K2 […], CS 7641 CSE/ISYE 6740 Homework 5 Yao Xie Deadline: Sunday April 15, 11:55pm • Submit your answers as an electronic copy on T-square. • No unapproved extension of deadline is allowed. Zero credit will be assigned for late submissions. Email request for late submission may not be replied. • For typed answers with LaTeX (recommended) or word processors, extra credits will be given., View homework1.pdf from ISYE 6740 at Georgia Institute Of Technology. ISYE 6740 Homework 1 Yao Xie August 20, 2019 1 Clustering. [100 points total. Each part is 25 points.] [a-b] Given N data points, ISYE 6740 Summer 2023 Homework 2 (100 points + 5 bonus points) 1. Conceptual questions [20 points]. (5 points) Please prove the first principle component direction v corresponds to the largest eigenvector of the sample covariance matrix: v = arg max w:∥w∥≤ 1. 1. m. ∑ m. i=, CS 7641 CSE/ISYE 6740 Homework 2 Solutions October 11, 2016 1 EM for Mixture of Gaussians Mixture of K Gaussians is represented as p (x) = K X k =1 π k N (x | μ k, Σ k ), (1) where π k represents the probability that a data point belongs to the k th component. As it is probability, it satisfies 0 ≤ π k ≤ 1 and ∑ k π k = 1., SOLUTION: We are given N data points xn. n=1,…,N) . The objective of k-means clustering is to partition the data set into kclusters, such that each cluster is as “tight” as possible. A clustering C:{1,…,N}→{1,…,k } assigns one of kclusters to each point in the data set. Each cluster k. ∈ {1,…,k} is also associated with a center μk . , CSE/ISYE 6740 Homework 1. Submit your answers as an electronic copy. No unapproved extension of deadline is allowed. Zero credit will be assigned for late submissions. Email request for late submission may not be replied. For typed answers with LaTeX (recommended) or word processors, extra credits will be given.