High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

9
High-Dimensional Probability and Statistics MATH/STAT/ECE 888: Topics in Mathematical Data Science Sebastien Roch (Math+Stat) UW-Madison Fall 2021 Lecture 5 (09/17/21)

Transcript of High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

Page 1: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

High-DimensionalProbability and Statistics

MATH/STAT/ECE 888: Topics in Mathematical Data ScienceSebastien Roch (Math+Stat)

UW-MadisonFall 2021

Lecture 5 (09/17/21)

Page 2: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

Today’s slides based on Williams (but results can befound in any graduate-level probability textbook)

See e.g. https://people.math.wisc.edu/~roch/grad-prob/

https://people.math.wisc.edu/~roch/grad-prob/
Page 3: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

More Probability Facts

Page 4: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

Lp norm

Page 5: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

More on Lp spaces

Page 6: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

More on Lp spaces cont’d

Page 7: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

Orlicz spaces

Page 8: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

Orlicz spaces cont’d

Page 9: High-Dimensional Lecture 5 (09/17/21) Fall 2021 ...

Jensen’s inequality


STA5130 High-dimensional Data Analysis, Fall 2009 · 2015-10-06 · STA5130 High-dimensional Data Analysis, Fall 2009 Terence Tai-Leung Chong November 20, 2014

STA5130 High-dimensional Data Analysis, Fall 2009 · 2015-10-06 · STA5130 High-dimensional Data Analysis, Fall 2009 Terence Tai-Leung Chong November 20, 2014

Lecture 9, fall 2014

Lecture 9, fall 2014

Lec 1-2 · Dimensional Analysis Significant Figures Ratios Estimation ... NOTES IMAGES DISCUSS UNITS EF 151 Fall, 2019 Lecture 1-2 HELP . Dimensional Analysis Is the equation V =

Lec 1-2 · Dimensional Analysis Significant Figures Ratios Estimation ... NOTES IMAGES DISCUSS UNITS EF 151 Fall, 2019 Lecture 1-2 HELP . Dimensional Analysis Is the equation V =

LECTURE 8 Two-dimensional (Plane) Stress State. Graphical ...

LECTURE 8 Two-dimensional (Plane) Stress State. Graphical ...

Lecture 2: One-Dimensional Kinematics

Lecture 2: One-Dimensional Kinematics

MM302 6 Lecture Notes (Dimensional Analysis)

MM302 6 Lecture Notes (Dimensional Analysis)

Lecture 8: Multidimensional scaling - stat.pitt.edu · STAT 2221, Fall 2013 Sungkyu Jung Department of Statistics University of ... arrive at optimal low-dimensional con guration

Lecture 8: Multidimensional scaling - stat.pitt.edu · STAT 2221, Fall 2013 Sungkyu Jung Department of Statistics University of ... arrive at optimal low-dimensional con guration

Lecture M1 Slender (one dimensional) Structures

Lecture M1 Slender (one dimensional) Structures

Lecture 9: Two-Dimensional Defects

Lecture 9: Two-Dimensional Defects

Lecture 16 Fall 2013

Lecture 16 Fall 2013

High-Dimensional Lecture 9 (09/27/21) Fall 2021 ...

High-Dimensional Lecture 9 (09/27/21) Fall 2021 ...

ICS 278: Data Mining Lecture 5: Low-Dimensional Representations of High-Dimensional Data

ICS 278: Data Mining Lecture 5: Low-Dimensional Representations of High-Dimensional Data

Lecture 10 FALL 05

Lecture 10 FALL 05

Length, time and mass Dimensional analysis Lecture 02

Length, time and mass Dimensional analysis Lecture 02

PGDIR Lecture - Fall 2014

PGDIR Lecture - Fall 2014

Two-Dimensional Rotational Dynamics 8.01 W10D2 Fall, 2006.

Two-Dimensional Rotational Dynamics 8.01 W10D2 Fall, 2006.

Lecture 6: Exactly Solvable One - Dimensional Problems

Lecture 6: Exactly Solvable One - Dimensional Problems

Lecture 1 - Course Introduction & Dimensional Modeling (1)

Lecture 1 - Course Introduction & Dimensional Modeling (1)

Lecture 13 Fall 2013

Lecture 13 Fall 2013

Chapter 8: Dimensional Analysis and Similitudeuser.engineering.uiowa.edu/~fluids/Archive/lecture... · Chapter 7 Dimensional Analysis and Modeling The Need for Dimensional Analysis

Chapter 8: Dimensional Analysis and Similitudeuser.engineering.uiowa.edu/~fluids/Archive/lecture... · Chapter 7 Dimensional Analysis and Modeling The Need for Dimensional Analysis