Journal of Machine Learning Research 12 (2011) 3413-3430
Submitted 10/09; Revised 8/11; Published 12/11
A Simpler Approach to Matrix Completion
Benjamin Recht
BRECHT @ CS . WISC . EDU
Department of Computer Sciences
University of Wisconsin-Madison
Madison
Problem Set 3
1. Consider a set of m items that are to be ranked from best to worst. To derive a ranking,
you ask people to compare pairs of items at time (i.e., ranking two items at a time).
Suppose you collect n pairwise comparisons, where the pairs are
Can matrix coherence be efficiently and accurately estimated?
Mehryar Mohri
Courant Institute and Google Research
New York, NY
[email protected]
Abstract
Matrix coherence has recently been used to
characterize the ability to extract global information from
CS761 Spring 2015 Homework 1
Assigned Jan. 18, due Jan. 20 before class
Instructions:
Homeworks are to be done individually.
Typeset your homework in latex using this file as template (e.g. use pdflatex). Show your derivations.
Hand in the compiled pdf
CS761 Spring 2017 Homework 2 Solution
Assigned Mar. 13, due Mar. 27 before class
Instructions:
Homeworks are to be done individually.
Typeset your homework in latex using this file as template (e.g. use pdflatex). Show your derivations.
Hand in the com
Probabilistic Models for
Unsupervised Learning
Zoubin Ghahramani
Sam Roweis
Gatsby Computational Neuroscience Unit
University College London
http:/www.gatsby.ucl.ac.uk/
NIPS Tutorial
December 1999
Learning
Imagine a machine or organism that experiences ov
ECE 830 Fall 2011 Statistical Signal Processing
instructor: R. Nowak
Lecture 3: Review of Linear Algebra
Very often in this course we will represent signals as vectors and operators (e.g., filters, transforms, etc) as
matrices. This lecture reviews basic
CS761 Spring 2013 Advanced Machine Learning
Graphical Models
Lecturer: Xiaojin Zhu
1
[email protected]
Directed, Undirected, Factor Graphs
In directed graphs, a directed cycle is a sequence s1 s2 . . . sk s1 . A directed acyclic graph (DAG) is
a graph
ECE 830 Fall 2011 Statistical Signal Processing
instructor: R. Nowak
Lecture 2: Review of Probability Theory
Probabilistic models will be used throughout the course to represent noise, errors, and uncertainty in signal
processing problems. This lecture re
CS761 Spring 2013 Advanced Machine Learning
Probability Background
Lecturer: Xiaojin Zhu
1
[email protected]
Probability Measure
A sample space is the set of all possible outcomes. Elements are called sample outcomes, while
subsets A are called events.
arXiv:1408.0952v2 [math.HO] 5 Nov 2015
Foundations and Trends in Signal Processing
Vol. XX, No. XX (2015) 1130
2015 now Publishers Inc.
DOI: 10.1561/XXXXXXXXXX
A Primer on Reproducing Kernel Hilbert Spaces
Jonathan H. Manton
The University of Melbourne
V
c 2016 Robert Nowak
Density Propagation, Kalman and Particle Filtering
Density Propagation
The density propagation algorithm discussed in the last lecture involves the following ingredients and operates
according to the block diagram below.
Observation:
L
c 2016 Robert Nowak
Dynamic Filtering and Density Propagation
1
Dynamic Filtering
In many applications we want to track a time-varying (dynamic) phenomenon.
Example 1 Tracking temperature or humidity in a museum room with an inaccurate device.
Key: Temper
CS761 Mini-Homework 2
Assigned Feb. 1, Due Feb. 6, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written homeworks.
Hand in a printed copy of your homework before class. Homework will no
CS761 Mini-Homework 3
Assigned Feb. 6, Due Feb. 11, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written homeworks.
Hand in a printed copy of your homework before class. Homework will no
CS761 Mini-Homework 4
Assigned Feb. 11, Due Feb. 15, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written homeworks.
Hand in a printed copy of your homework before class. Homework will n
CS761 Mini-Homework 5
Assigned Feb. 18, Due Feb. 22, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written
homeworks.
Hand in a printed copy of your homework before class. Homework will n
CS761 Mini-Homework 6
Assigned Feb. 22, Due Feb. 27, 2013 before class
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Hand in a printed copy of your homework before class. Homework will no
CS761 Mini-Homework 7
Assigned Feb. 27, Due Mar. 4, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written homeworks.
Hand in a printed copy of your homework before class. Homework will no
Solution: CS761 Mini-Homework 8
Assigned Mar. 4, Due Mar. 8, 2013 before class
1. (5 points) Imagine a stick of length a. On the ground, draw parallel lines a apart. Randomly throw
the stick to the ground. Each time, the stick may or may not intersect wit
1. (10 points) The Wisconsin State Climatology Oce keeps a record on the number of days Lake Mendota was covered by ice at http:/www.aos.wisc.edu/~sco/lakes/Mendota-ice.html. The article
DETERMINING THE ICE COVER ON MADISON LAKES at http:/www.aos.wisc.edu
CS761 Mini-Homework 10
Assigned Mar. 18, Due Mar. 22, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written homeworks.
Hand in a printed copy of your homework before class. Homework will
Solution: CS761 Mini-Homework 11
Assigned Apr. 1, Due Apr. 5, 2013 before class
1. (5 points) What is the expected number of occupied tables after n customers in a CRP with concentration parameter ? Show your proof sketch.
Let Ti be an indicator variable
CS761 Mini-Homework 12
Assigned Apr. 5, Due Apr. 10, 2013 before class
Instructions:
Typeset your homework in latex using this le as template. We do not accept hand-written homeworks.
Hand in a printed copy of your homework before class. Homework will n