GANs. Machine Learning: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM GRAHAM NEUBIG

Size: px
Start display at page:

Download "GANs. Machine Learning: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM GRAHAM NEUBIG"

Transcription

1 GANs Machine Learning: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM GRAHAM NEUBIG Machine Learning: Jordan Boyd-Graber UMD GANs 1 / 7

2 Problems with Generation Generative Models Ain t Perfect Over-emphasis of common outputs, fuzziness Real MLE Adversarial Note: this is probably a good idea if you are doing (Lotter et al. maximum 2015) likelihood! Image Credit: Lotter et al Fitting conventional prob models focuses on common input Can be fuzzy Still better for smaller ammounts of data or if true objective is ML Machine Learning: Jordan Boyd-Graber UMD GANs 2 / 7

3 Adversarial Training It s time for some game theory Machine Learning: Jordan Boyd-Graber UMD GANs 3 / 7

4 Adversarial Training It s time for some game theory Create discriminator that criticizes generated output Is this example real or not Generator is trained to fool discriminator to say it s real Machine Learning: Jordan Boyd-Graber UMD GANs 3 / 7

5 Adversarial Training It s time for some game theory Create discriminator that criticizes generated output Is this example real or not Generator is trained to fool discriminator to say it s real Contrast with encoder / decoder: Machine Learning: Jordan Boyd-Graber UMD GANs 3 / 7

6 Adversarial Training It s time for some game theory Create discriminator that criticizes generated output Is this example real or not Generator is trained to fool discriminator to say it s real Contrast with encoder / decoder: no fixed representation Machine Learning: Jordan Boyd-Graber UMD GANs 3 / 7

7 Training GAN Training Method sample latent vars. z sample minibatch convert w/ generator xreal xfake predict w/ discriminator discriminator loss (higher if fail predictions) y generator loss (higher if make predictions) Machine Learning: Jordan Boyd-Graber UMD GANs 4 / 7

8 Training Equations Discriminator l D (θ D,θ G ) = x P data [logd(x)] z [log(1 D(G(z)))] Real data should get high score Fake data should get low score Machine Learning: Jordan Boyd-Graber UMD GANs 5 / 7

9 Training Equations Discriminator l D (θ D,θ G ) = x P data [logd(x)] z [log(1 D(G(z)))] Real data should get high score Fake data should get low score Machine Learning: Jordan Boyd-Graber UMD GANs 5 / 7

10 Training Equations Discriminator l D (θ D,θ G ) = x P data [logd(x)] z [log(1 D(G(z)))] Real data should get high score Fake data should get low score Machine Learning: Jordan Boyd-Graber UMD GANs 5 / 7

11 Training Equations Discriminator Generator l D (θ D,θ G ) = x P data [logd(x)] z [log(1 D(G(z)))] Real data should get high score Fake data should get low score l G (θ D,θ G ) = l D (θ D,θ G ) If discriminator is very accurate, sometimes better to focus on non-saturating loss Focus on where you can confuse discriminator z [ logd(g(z))] (1) Machine Learning: Jordan Boyd-Graber UMD GANs 5 / 7

12 Problems with Training GANs are great, but training very hard Mode Collapse: generator maps all z to single x Over-confident discriminator Machine Learning: Jordan Boyd-Graber UMD GANs 6 / 7

13 Problems with Training GANs are great, but training very hard Mode Collapse: generator maps all z to single x (other examples as side information) Over-confident discriminator Machine Learning: Jordan Boyd-Graber UMD GANs 6 / 7

14 Problems with Training GANs are great, but training very hard Mode Collapse: generator maps all z to single x (other examples as side information) Over-confident discriminator (smoothing) Machine Learning: Jordan Boyd-Graber UMD GANs 6 / 7

15 Problem! Can t Backprop Problems with Discrete Data through Sampling sample latent vars. z sample minibatch convert w/ generator xreal predict w/ discriminator y xfake Discrete! Can t backprop Machine Learning: Jordan Boyd-Graber UMD GANs 7 / 7

Language Models. Data Science: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM PHILIP KOEHN

Language Models. Data Science: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM PHILIP KOEHN Language Models Data Science: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM PHILIP KOEHN Data Science: Jordan Boyd-Graber UMD Language Models 1 / 8 Language models Language models answer

More information

Generative adversarial networks

Generative adversarial networks 14-1: Generative adversarial networks Prof. J.C. Kao, UCLA Generative adversarial networks Why GANs? GAN intuition GAN equilibrium GAN implementation Practical considerations Much of these notes are based

More information

Gradient descent GAN optimization is locally stable

Gradient descent GAN optimization is locally stable Gradient descent GAN optimization is locally stable Advances in Neural Information Processing Systems, 2017 Vaishnavh Nagarajan J. Zico Kolter Carnegie Mellon University 05 January 2018 Presented by: Kevin

More information

Introduction to Machine Learning

Introduction to Machine Learning Introduction to Machine Learning Slides adapted from Eli Upfal Machine Learning: Jordan Boyd-Graber University of Maryland FEATURE ENGINEERING Machine Learning: Jordan Boyd-Graber UMD Introduction to Machine

More information

Introduction to Machine Learning

Introduction to Machine Learning Introduction to Machine Learning Machine Learning: Jordan Boyd-Graber University of Maryland LOGISTIC REGRESSION FROM TEXT Slides adapted from Emily Fox Machine Learning: Jordan Boyd-Graber UMD Introduction

More information

Introduction to Machine Learning

Introduction to Machine Learning Introduction to Machine Learning Machine Learning: Jordan Boyd-Graber University of Maryland RADEMACHER COMPLEXITY Slides adapted from Rob Schapire Machine Learning: Jordan Boyd-Graber UMD Introduction

More information

Discrete Probability Distributions

Discrete Probability Distributions Discrete Probability Distributions Data Science: Jordan Boyd-Graber University of Maryland JANUARY 18, 2018 Data Science: Jordan Boyd-Graber UMD Discrete Probability Distributions 1 / 1 Refresher: Random

More information

Online Learning. Jordan Boyd-Graber. University of Colorado Boulder LECTURE 21. Slides adapted from Mohri

Online Learning. Jordan Boyd-Graber. University of Colorado Boulder LECTURE 21. Slides adapted from Mohri Online Learning Jordan Boyd-Graber University of Colorado Boulder LECTURE 21 Slides adapted from Mohri Jordan Boyd-Graber Boulder Online Learning 1 of 31 Motivation PAC learning: distribution fixed over

More information

Logistic Regression. Introduction to Data Science Algorithms Jordan Boyd-Graber and Michael Paul SLIDES ADAPTED FROM HINRICH SCHÜTZE

Logistic Regression. Introduction to Data Science Algorithms Jordan Boyd-Graber and Michael Paul SLIDES ADAPTED FROM HINRICH SCHÜTZE Logistic Regression Introduction to Data Science Algorithms Jordan Boyd-Graber and Michael Paul SLIDES ADAPTED FROM HINRICH SCHÜTZE Introduction to Data Science Algorithms Boyd-Graber and Paul Logistic

More information

Energy-Based Generative Adversarial Network

Energy-Based Generative Adversarial Network Energy-Based Generative Adversarial Network Energy-Based Generative Adversarial Network J. Zhao, M. Mathieu and Y. LeCun Learning to Draw Samples: With Application to Amoritized MLE for Generalized Adversarial

More information

Generative Adversarial Networks. Presented by Yi Zhang

Generative Adversarial Networks. Presented by Yi Zhang Generative Adversarial Networks Presented by Yi Zhang Deep Generative Models N(O, I) Variational Auto-Encoders GANs Unreasonable Effectiveness of GANs GANs Discriminator tries to distinguish genuine data

More information

Introduction to Machine Learning

Introduction to Machine Learning Introduction to Machine Learning Machine Learning: Jordan Boyd-Graber University of Maryland SUPPORT VECTOR MACHINES Slides adapted from Tom Mitchell, Eric Xing, and Lauren Hannah Machine Learning: Jordan

More information

Machine Learning. Machine Learning: Jordan Boyd-Graber University of Maryland REINFORCEMENT LEARNING. Slides adapted from Tom Mitchell and Peter Abeel

Machine Learning. Machine Learning: Jordan Boyd-Graber University of Maryland REINFORCEMENT LEARNING. Slides adapted from Tom Mitchell and Peter Abeel Machine Learning Machine Learning: Jordan Boyd-Graber University of Maryland REINFORCEMENT LEARNING Slides adapted from Tom Mitchell and Peter Abeel Machine Learning: Jordan Boyd-Graber UMD Machine Learning

More information

Classification: The PAC Learning Framework

Classification: The PAC Learning Framework Classification: The PAC Learning Framework Machine Learning: Jordan Boyd-Graber University of Colorado Boulder LECTURE 5 Slides adapted from Eli Upfal Machine Learning: Jordan Boyd-Graber Boulder Classification:

More information

Nishant Gurnani. GAN Reading Group. April 14th, / 107

Nishant Gurnani. GAN Reading Group. April 14th, / 107 Nishant Gurnani GAN Reading Group April 14th, 2017 1 / 107 Why are these Papers Important? 2 / 107 Why are these Papers Important? Recently a large number of GAN frameworks have been proposed - BGAN, LSGAN,

More information

Classification: Logistic Regression from Data

Classification: Logistic Regression from Data Classification: Logistic Regression from Data Machine Learning: Jordan Boyd-Graber University of Colorado Boulder LECTURE 3 Slides adapted from Emily Fox Machine Learning: Jordan Boyd-Graber Boulder Classification:

More information

Annotation and Feature Engineering

Annotation and Feature Engineering Annotation and Feature Engineering Data Science: Jordan Boyd-Graber University of Maryland HOUSES, SPOILERS, AND TRIVIA Data Science: Jordan Boyd-Graber UMD Annotation and Feature Engineering 1 / 1 Humans

More information

Chapter 20. Deep Generative Models

Chapter 20. Deep Generative Models Peng et al.: Deep Learning and Practice 1 Chapter 20 Deep Generative Models Peng et al.: Deep Learning and Practice 2 Generative Models Models that are able to Provide an estimate of the probability distribution

More information

Generative Adversarial Networks

Generative Adversarial Networks Generative Adversarial Networks Stefano Ermon, Aditya Grover Stanford University Lecture 10 Stefano Ermon, Aditya Grover (AI Lab) Deep Generative Models Lecture 10 1 / 17 Selected GANs https://github.com/hindupuravinash/the-gan-zoo

More information

Machine Learning Basics Lecture 2: Linear Classification. Princeton University COS 495 Instructor: Yingyu Liang

Machine Learning Basics Lecture 2: Linear Classification. Princeton University COS 495 Instructor: Yingyu Liang Machine Learning Basics Lecture 2: Linear Classification Princeton University COS 495 Instructor: Yingyu Liang Review: machine learning basics Math formulation Given training data x i, y i : 1 i n i.i.d.

More information

Classification. Jordan Boyd-Graber University of Maryland WEIGHTED MAJORITY. Slides adapted from Mohri. Jordan Boyd-Graber UMD Classification 1 / 13

Classification. Jordan Boyd-Graber University of Maryland WEIGHTED MAJORITY. Slides adapted from Mohri. Jordan Boyd-Graber UMD Classification 1 / 13 Classification Jordan Boyd-Graber University of Maryland WEIGHTED MAJORITY Slides adapted from Mohri Jordan Boyd-Graber UMD Classification 1 / 13 Beyond Binary Classification Before we ve talked about

More information

Reinforcement Learning for NLP

Reinforcement Learning for NLP Reinforcement Learning for NLP Advanced Machine Learning for NLP Jordan Boyd-Graber REINFORCEMENT OVERVIEW, POLICY GRADIENT Adapted from slides by David Silver, Pieter Abbeel, and John Schulman Advanced

More information

Inexact Search is Good Enough

Inexact Search is Good Enough Inexact Search is Good Enough Advanced Machine Learning for NLP Jordan Boyd-Graber MATHEMATICAL TREATMENT Advanced Machine Learning for NLP Boyd-Graber Inexact Search is Good Enough 1 of 1 Preliminaries:

More information

Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks

Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks Panos Stinis (joint work with T. Hagge, A.M. Tartakovsky and E. Yeung) Pacific Northwest National Laboratory

More information

Generative Adversarial Networks

Generative Adversarial Networks Generative Adversarial Networks SIBGRAPI 2017 Tutorial Everything you wanted to know about Deep Learning for Computer Vision but were afraid to ask Presentation content inspired by Ian Goodfellow s tutorial

More information

Deep Generative Image Models using a Laplacian Pyramid of Adversarial Networks

Deep Generative Image Models using a Laplacian Pyramid of Adversarial Networks Deep Generative Image Models using a Laplacian Pyramid of Adversarial Networks Emily Denton 1, Soumith Chintala 2, Arthur Szlam 2, Rob Fergus 2 1 New York University 2 Facebook AI Research Denotes equal

More information

Random Variables and Events

Random Variables and Events Random Variables and Events Data Science: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM DAVE BLEI AND LAUREN HANNAH Data Science: Jordan Boyd-Graber UMD Random Variables and Events 1 /

More information

Introduction to Gaussian Process

Introduction to Gaussian Process Introduction to Gaussian Process CS 778 Chris Tensmeyer CS 478 INTRODUCTION 1 What Topic? Machine Learning Regression Bayesian ML Bayesian Regression Bayesian Non-parametric Gaussian Process (GP) GP Regression

More information

Expectations and Entropy

Expectations and Entropy Expectations and Entropy Data Science: Jordan Boyd-Graber University of Maryland SLIDES ADAPTED FROM DAVE BLEI AND LAUREN HANNAH Data Science: Jordan Boyd-Graber UMD Expectations and Entropy 1 / 9 Expectation

More information

Generative Adversarial Networks (GANs) Ian Goodfellow, OpenAI Research Scientist Presentation at Berkeley Artificial Intelligence Lab,

Generative Adversarial Networks (GANs) Ian Goodfellow, OpenAI Research Scientist Presentation at Berkeley Artificial Intelligence Lab, Generative Adversarial Networks (GANs) Ian Goodfellow, OpenAI Research Scientist Presentation at Berkeley Artificial Intelligence Lab, 2016-08-31 Generative Modeling Density estimation Sample generation

More information

Machine Learning Linear Classification. Prof. Matteo Matteucci

Machine Learning Linear Classification. Prof. Matteo Matteucci Machine Learning Linear Classification Prof. Matteo Matteucci Recall from the first lecture 2 X R p Regression Y R Continuous Output X R p Y {Ω 0, Ω 1,, Ω K } Classification Discrete Output X R p Y (X)

More information

Lecture 14: Deep Generative Learning

Lecture 14: Deep Generative Learning Generative Modeling CSED703R: Deep Learning for Visual Recognition (2017F) Lecture 14: Deep Generative Learning Density estimation Reconstructing probability density function using samples Bohyung Han

More information

What s so Hard about Natural Language Understanding?

What s so Hard about Natural Language Understanding? What s so Hard about Natural Language Understanding? Alan Ritter Computer Science and Engineering The Ohio State University Collaborators: Jiwei Li, Dan Jurafsky (Stanford) Bill Dolan, Michel Galley, Jianfeng

More information

Towards a Data-driven Approach to Exploring Galaxy Evolution via Generative Adversarial Networks

Towards a Data-driven Approach to Exploring Galaxy Evolution via Generative Adversarial Networks Towards a Data-driven Approach to Exploring Galaxy Evolution via Generative Adversarial Networks Tian Li tian.li@pku.edu.cn EECS, Peking University Abstract Since laboratory experiments for exploring astrophysical

More information

COMP90051 Statistical Machine Learning

COMP90051 Statistical Machine Learning COMP90051 Statistical Machine Learning Semester 2, 2017 Lecturer: Trevor Cohn 2. Statistical Schools Adapted from slides by Ben Rubinstein Statistical Schools of Thought Remainder of lecture is to provide

More information

Robustness in GANs and in Black-box Optimization

Robustness in GANs and in Black-box Optimization Robustness in GANs and in Black-box Optimization Stefanie Jegelka MIT CSAIL joint work with Zhi Xu, Chengtao Li, Ilija Bogunovic, Jonathan Scarlett and Volkan Cevher Robustness in ML noise Generator Critic

More information

Ian Goodfellow, Staff Research Scientist, Google Brain. Seminar at CERN Geneva,

Ian Goodfellow, Staff Research Scientist, Google Brain. Seminar at CERN Geneva, MedGAN ID-CGAN CoGAN LR-GAN CGAN IcGAN b-gan LS-GAN AffGAN LAPGAN DiscoGANMPM-GAN AdaGAN LSGAN InfoGAN CatGAN AMGAN igan IAN Open Challenges for Improving GANs McGAN Ian Goodfellow, Staff Research Scientist,

More information

Clustering. Introduction to Data Science. Jordan Boyd-Graber and Michael Paul SLIDES ADAPTED FROM LAUREN HANNAH

Clustering. Introduction to Data Science. Jordan Boyd-Graber and Michael Paul SLIDES ADAPTED FROM LAUREN HANNAH Clustering Introduction to Data Science Jordan Boyd-Graber and Michael Paul SLIDES ADAPTED FROM LAUREN HANNAH Slides adapted from Tom Mitchell, Eric Xing, and Lauren Hannah Introduction to Data Science

More information

Decision Trees. Data Science: Jordan Boyd-Graber University of Maryland MARCH 11, Data Science: Jordan Boyd-Graber UMD Decision Trees 1 / 1

Decision Trees. Data Science: Jordan Boyd-Graber University of Maryland MARCH 11, Data Science: Jordan Boyd-Graber UMD Decision Trees 1 / 1 Decision Trees Data Science: Jordan Boyd-Graber University of Maryland MARCH 11, 2018 Data Science: Jordan Boyd-Graber UMD Decision Trees 1 / 1 Roadmap Classification: machines labeling data for us Last

More information

Support Vector Machines

Support Vector Machines Support Vector Machines Jordan Boyd-Graber University of Colorado Boulder LECTURE 7 Slides adapted from Tom Mitchell, Eric Xing, and Lauren Hannah Jordan Boyd-Graber Boulder Support Vector Machines 1 of

More information

Logistic Regression & Neural Networks

Logistic Regression & Neural Networks Logistic Regression & Neural Networks CMSC 723 / LING 723 / INST 725 Marine Carpuat Slides credit: Graham Neubig, Jacob Eisenstein Logistic Regression Perceptron & Probabilities What if we want a probability

More information

Logistic Regression. INFO-2301: Quantitative Reasoning 2 Michael Paul and Jordan Boyd-Graber SLIDES ADAPTED FROM HINRICH SCHÜTZE

Logistic Regression. INFO-2301: Quantitative Reasoning 2 Michael Paul and Jordan Boyd-Graber SLIDES ADAPTED FROM HINRICH SCHÜTZE Logistic Regression INFO-2301: Quantitative Reasoning 2 Michael Paul and Jordan Boyd-Graber SLIDES ADAPTED FROM HINRICH SCHÜTZE INFO-2301: Quantitative Reasoning 2 Paul and Boyd-Graber Logistic Regression

More information

GAUSSIAN PROCESS REGRESSION

GAUSSIAN PROCESS REGRESSION GAUSSIAN PROCESS REGRESSION CSE 515T Spring 2015 1. BACKGROUND The kernel trick again... The Kernel Trick Consider again the linear regression model: y(x) = φ(x) w + ε, with prior p(w) = N (w; 0, Σ). The

More information

The Success of Deep Generative Models

The Success of Deep Generative Models The Success of Deep Generative Models Jakub Tomczak AMLAB, University of Amsterdam CERN, 2018 What is AI about? What is AI about? Decision making: What is AI about? Decision making: new data High probability

More information

GENERATIVE ADVERSARIAL LEARNING

GENERATIVE ADVERSARIAL LEARNING GENERATIVE ADVERSARIAL LEARNING OF MARKOV CHAINS Jiaming Song, Shengjia Zhao & Stefano Ermon Computer Science Department Stanford University {tsong,zhaosj12,ermon}@cs.stanford.edu ABSTRACT We investigate

More information

Deep Generative Models for Graph Generation. Jian Tang HEC Montreal CIFAR AI Chair, Mila

Deep Generative Models for Graph Generation. Jian Tang HEC Montreal CIFAR AI Chair, Mila Deep Generative Models for Graph Generation Jian Tang HEC Montreal CIFAR AI Chair, Mila Email: jian.tang@hec.ca Deep Generative Models Goal: model data distribution p(x) explicitly or implicitly, where

More information

A Unified View of Deep Generative Models

A Unified View of Deep Generative Models SAILING LAB Laboratory for Statistical Artificial InteLigence & INtegreative Genomics A Unified View of Deep Generative Models Zhiting Hu and Eric Xing Petuum Inc. Carnegie Mellon University 1 Deep generative

More information

Gaussians Linear Regression Bias-Variance Tradeoff

Gaussians Linear Regression Bias-Variance Tradeoff Readings listed in class website Gaussians Linear Regression Bias-Variance Tradeoff Machine Learning 10701/15781 Carlos Guestrin Carnegie Mellon University January 22 nd, 2007 Maximum Likelihood Estimation

More information

Generative Adversarial Networks, and Applications

Generative Adversarial Networks, and Applications Generative Adversarial Networks, and Applications Ali Mirzaei Nimish Srivastava Kwonjoon Lee Songting Xu CSE 252C 4/12/17 2/44 Outline: Generative Models vs Discriminative Models (Background) Generative

More information

Singing Voice Separation using Generative Adversarial Networks

Singing Voice Separation using Generative Adversarial Networks Singing Voice Separation using Generative Adversarial Networks Hyeong-seok Choi, Kyogu Lee Music and Audio Research Group Graduate School of Convergence Science and Technology Seoul National University

More information

MMD GAN 1 Fisher GAN 2

MMD GAN 1 Fisher GAN 2 MMD GAN 1 Fisher GAN 1 Chun-Liang Li, Wei-Cheng Chang, Yu Cheng, Yiming Yang, and Barnabás Póczos (CMU, IBM Research) Youssef Mroueh, and Tom Sercu (IBM Research) Presented by Rui-Yi(Roy) Zhang Decemeber

More information

Do you like to be successful? Able to see the big picture

Do you like to be successful? Able to see the big picture Do you like to be successful? Able to see the big picture 1 Are you able to recognise a scientific GEM 2 How to recognise good work? suggestions please item#1 1st of its kind item#2 solve problem item#3

More information

Machine Learning: Chenhao Tan University of Colorado Boulder LECTURE 5

Machine Learning: Chenhao Tan University of Colorado Boulder LECTURE 5 Machine Learning: Chenhao Tan University of Colorado Boulder LECTURE 5 Slides adapted from Jordan Boyd-Graber, Tom Mitchell, Ziv Bar-Joseph Machine Learning: Chenhao Tan Boulder 1 of 27 Quiz question For

More information

Machine Learning Summer 2018 Exercise Sheet 4

Machine Learning Summer 2018 Exercise Sheet 4 Ludwig-Maimilians-Universitaet Muenchen 17.05.2018 Institute for Informatics Prof. Dr. Volker Tresp Julian Busch Christian Frey Machine Learning Summer 2018 Eercise Sheet 4 Eercise 4-1 The Simpsons Characters

More information

Deep Learning Basics Lecture 8: Autoencoder & DBM. Princeton University COS 495 Instructor: Yingyu Liang

Deep Learning Basics Lecture 8: Autoencoder & DBM. Princeton University COS 495 Instructor: Yingyu Liang Deep Learning Basics Lecture 8: Autoencoder & DBM Princeton University COS 495 Instructor: Yingyu Liang Autoencoder Autoencoder Neural networks trained to attempt to copy its input to its output Contain

More information

Deep Generative Models. (Unsupervised Learning)

Deep Generative Models. (Unsupervised Learning) Deep Generative Models (Unsupervised Learning) CEng 783 Deep Learning Fall 2017 Emre Akbaş Reminders Next week: project progress demos in class Describe your problem/goal What you have done so far What

More information

Density Estimation. Seungjin Choi

Density Estimation. Seungjin Choi Density Estimation Seungjin Choi Department of Computer Science and Engineering Pohang University of Science and Technology 77 Cheongam-ro, Nam-gu, Pohang 37673, Korea seungjin@postech.ac.kr http://mlg.postech.ac.kr/

More information

Second Midterm Exam Economics 410 Thurs., April 2, 2009

Second Midterm Exam Economics 410 Thurs., April 2, 2009 Second Midterm Exam Economics 410 Thurs., April 2, 2009 Show All Work. Only partial credit will be given for correct answers if we can not figure out how they were derived. Note that we have not put equal

More information

CSCI-567: Machine Learning (Spring 2019)

CSCI-567: Machine Learning (Spring 2019) CSCI-567: Machine Learning (Spring 2019) Prof. Victor Adamchik U of Southern California Mar. 19, 2019 March 19, 2019 1 / 43 Administration March 19, 2019 2 / 43 Administration TA3 is due this week March

More information

Machine Learning: Chenhao Tan University of Colorado Boulder LECTURE 9

Machine Learning: Chenhao Tan University of Colorado Boulder LECTURE 9 Machine Learning: Chenhao Tan University of Colorado Boulder LECTURE 9 Slides adapted from Jordan Boyd-Graber Machine Learning: Chenhao Tan Boulder 1 of 39 Recap Supervised learning Previously: KNN, naïve

More information

Name: Student number:

Name: Student number: UNIVERSITY OF TORONTO Faculty of Arts and Science APRIL 2018 EXAMINATIONS CSC321H1S Duration 3 hours No Aids Allowed Name: Student number: This is a closed-book test. It is marked out of 35 marks. Please

More information

Sequence labeling. Taking collective a set of interrelated instances x 1,, x T and jointly labeling them

Sequence labeling. Taking collective a set of interrelated instances x 1,, x T and jointly labeling them HMM, MEMM and CRF 40-957 Special opics in Artificial Intelligence: Probabilistic Graphical Models Sharif University of echnology Soleymani Spring 2014 Sequence labeling aking collective a set of interrelated

More information

Wasserstein GAN. Juho Lee. Jan 23, 2017

Wasserstein GAN. Juho Lee. Jan 23, 2017 Wasserstein GAN Juho Lee Jan 23, 2017 Wasserstein GAN (WGAN) Arxiv submission Martin Arjovsky, Soumith Chintala, and Léon Bottou A new GAN model minimizing the Earth-Mover s distance (Wasserstein-1 distance)

More information

Dimension Reduction (PCA, ICA, CCA, FLD,

Dimension Reduction (PCA, ICA, CCA, FLD, Dimension Reduction (PCA, ICA, CCA, FLD, Topic Models) Yi Zhang 10-701, Machine Learning, Spring 2011 April 6 th, 2011 Parts of the PCA slides are from previous 10-701 lectures 1 Outline Dimension reduction

More information

Variational Autoencoder

Variational Autoencoder Variational Autoencoder Göker Erdo gan August 8, 2017 The variational autoencoder (VA) [1] is a nonlinear latent variable model with an efficient gradient-based training procedure based on variational

More information

Logistic Regression. Jia-Bin Huang. Virginia Tech Spring 2019 ECE-5424G / CS-5824

Logistic Regression. Jia-Bin Huang. Virginia Tech Spring 2019 ECE-5424G / CS-5824 Logistic Regression Jia-Bin Huang ECE-5424G / CS-5824 Virginia Tech Spring 2019 Administrative Please start HW 1 early! Questions are welcome! Two principles for estimating parameters Maximum Likelihood

More information

Machine Learning. Gaussian Mixture Models. Zhiyao Duan & Bryan Pardo, Machine Learning: EECS 349 Fall

Machine Learning. Gaussian Mixture Models. Zhiyao Duan & Bryan Pardo, Machine Learning: EECS 349 Fall Machine Learning Gaussian Mixture Models Zhiyao Duan & Bryan Pardo, Machine Learning: EECS 349 Fall 2012 1 Discriminative vs Generative Models Discriminative: Just learn a decision boundary between your

More information

Variational Autoencoders (VAEs)

Variational Autoencoders (VAEs) September 26 & October 3, 2017 Section 1 Preliminaries Kullback-Leibler divergence KL divergence (continuous case) p(x) andq(x) are two density distributions. Then the KL-divergence is defined as Z KL(p

More information

Text2Action: Generative Adversarial Synthesis from Language to Action

Text2Action: Generative Adversarial Synthesis from Language to Action Text2Action: Generative Adversarial Synthesis from Language to Action Hyemin Ahn, Timothy Ha*, Yunho Choi*, Hwiyeon Yoo*, and Songhwai Oh Abstract In this paper, we propose a generative model which learns

More information

Machine Learning

Machine Learning Machine Learning 10-701 Tom M. Mitchell Machine Learning Department Carnegie Mellon University February 1, 2011 Today: Generative discriminative classifiers Linear regression Decomposition of error into

More information

GANS for Sequences of Discrete Elements with the Gumbel-softmax Distribution

GANS for Sequences of Discrete Elements with the Gumbel-softmax Distribution GANS for Sequences of Discrete Elements with the Gumbel-softmax Distribution Matt Kusner, Jose Miguel Hernandez-Lobato Satya Krishna Gorti University of Toronto Satya Krishna Gorti CSC2547 1 / 16 Introduction

More information

ECE 5984: Introduction to Machine Learning

ECE 5984: Introduction to Machine Learning ECE 5984: Introduction to Machine Learning Topics: Classification: Logistic Regression NB & LR connections Readings: Barber 17.4 Dhruv Batra Virginia Tech Administrativia HW2 Due: Friday 3/6, 3/15, 11:55pm

More information

Linear classifiers: Logistic regression

Linear classifiers: Logistic regression Linear classifiers: Logistic regression STAT/CSE 416: Machine Learning Emily Fox University of Washington April 19, 2018 How confident is your prediction? The sushi & everything else were awesome! The

More information

arxiv: v1 [cs.lg] 6 Nov 2016

arxiv: v1 [cs.lg] 6 Nov 2016 GENERATIVE ADVERSARIAL NETWORKS AS VARIA- TIONAL TRAINING OF ENERGY BASED MODELS Shuangfei Zhai Binghamton University Vestal, NY 13902, USA szhai2@binghamton.edu Yu Cheng IBM T.J. Watson Research Center

More information

Need for Sampling in Machine Learning. Sargur Srihari

Need for Sampling in Machine Learning. Sargur Srihari Need for Sampling in Machine Learning Sargur srihari@cedar.buffalo.edu 1 Rationale for Sampling 1. ML methods model data with probability distributions E.g., p(x,y; θ) 2. Models are used to answer queries,

More information

What Do Neural Networks Do? MLP Lecture 3 Multi-layer networks 1

What Do Neural Networks Do? MLP Lecture 3 Multi-layer networks 1 What Do Neural Networks Do? MLP Lecture 3 Multi-layer networks 1 Multi-layer networks Steve Renals Machine Learning Practical MLP Lecture 3 7 October 2015 MLP Lecture 3 Multi-layer networks 2 What Do Single

More information

text classification 3: neural networks

text classification 3: neural networks text classification 3: neural networks CS 585, Fall 2018 Introduction to Natural Language Processing http://people.cs.umass.edu/~miyyer/cs585/ Mohit Iyyer College of Information and Computer Sciences University

More information

Intro. ANN & Fuzzy Systems. Lecture 15. Pattern Classification (I): Statistical Formulation

Intro. ANN & Fuzzy Systems. Lecture 15. Pattern Classification (I): Statistical Formulation Lecture 15. Pattern Classification (I): Statistical Formulation Outline Statistical Pattern Recognition Maximum Posterior Probability (MAP) Classifier Maximum Likelihood (ML) Classifier K-Nearest Neighbor

More information

Stochastic Backpropagation, Variational Inference, and Semi-Supervised Learning

Stochastic Backpropagation, Variational Inference, and Semi-Supervised Learning Stochastic Backpropagation, Variational Inference, and Semi-Supervised Learning Diederik (Durk) Kingma Danilo J. Rezende (*) Max Welling Shakir Mohamed (**) Stochastic Gradient Variational Inference Bayesian

More information

PILCO: A Model-Based and Data-Efficient Approach to Policy Search

PILCO: A Model-Based and Data-Efficient Approach to Policy Search PILCO: A Model-Based and Data-Efficient Approach to Policy Search (M.P. Deisenroth and C.E. Rasmussen) CSC2541 November 4, 2016 PILCO Graphical Model PILCO Probabilistic Inference for Learning COntrol

More information

Slide credit from Hung-Yi Lee & Richard Socher

Slide credit from Hung-Yi Lee & Richard Socher Slide credit from Hung-Yi Lee & Richard Socher 1 Review Recurrent Neural Network 2 Recurrent Neural Network Idea: condition the neural network on all previous words and tie the weights at each time step

More information

Lecture 16 Deep Neural Generative Models

Lecture 16 Deep Neural Generative Models Lecture 16 Deep Neural Generative Models CMSC 35246: Deep Learning Shubhendu Trivedi & Risi Kondor University of Chicago May 22, 2017 Approach so far: We have considered simple models and then constructed

More information

Energy Based Models. Stefano Ermon, Aditya Grover. Stanford University. Lecture 13

Energy Based Models. Stefano Ermon, Aditya Grover. Stanford University. Lecture 13 Energy Based Models Stefano Ermon, Aditya Grover Stanford University Lecture 13 Stefano Ermon, Aditya Grover (AI Lab) Deep Generative Models Lecture 13 1 / 21 Summary Story so far Representation: Latent

More information

CENG 783. Special topics in. Deep Learning. AlchemyAPI. Week 14. Sinan Kalkan

CENG 783. Special topics in. Deep Learning. AlchemyAPI. Week 14. Sinan Kalkan CENG 783 Special topics in Deep Learning AlchemyAPI Week 14 Sinan Kalkan Today Hopfield Networks Boltzmann Machines Deep BM, Restricted BM Generative Adversarial Networks Variational Auto-encoders Autoregressive

More information

Probabilistic clustering

Probabilistic clustering Aprendizagem Automática Probabilistic clustering Ludwig Krippahl Probabilistic clustering Summary Fuzzy sets and clustering Fuzzy c-means Probabilistic Clustering: mixture models Expectation-Maximization,

More information

An Introduction to Statistical and Probabilistic Linear Models

An Introduction to Statistical and Probabilistic Linear Models An Introduction to Statistical and Probabilistic Linear Models Maximilian Mozes Proseminar Data Mining Fakultät für Informatik Technische Universität München June 07, 2017 Introduction In statistical learning

More information

Cycle-Consistent Adversarial Learning as Approximate Bayesian Inference

Cycle-Consistent Adversarial Learning as Approximate Bayesian Inference Cycle-Consistent Adversarial Learning as Approximate Bayesian Inference Louis C. Tiao 1 Edwin V. Bonilla 2 Fabio Ramos 1 July 22, 2018 1 University of Sydney, 2 University of New South Wales Motivation:

More information

LDA with Amortized Inference

LDA with Amortized Inference LDA with Amortied Inference Nanbo Sun Abstract This report describes how to frame Latent Dirichlet Allocation LDA as a Variational Auto- Encoder VAE and use the Amortied Variational Inference AVI to optimie

More information

Topics in Natural Language Processing

Topics in Natural Language Processing Topics in Natural Language Processing Shay Cohen Institute for Language, Cognition and Computation University of Edinburgh Lecture 9 Administrativia Next class will be a summary Please email me questions

More information

Discriminative part-based models. Many slides based on P. Felzenszwalb

Discriminative part-based models. Many slides based on P. Felzenszwalb More sliding window detection: ti Discriminative part-based models Many slides based on P. Felzenszwalb Challenge: Generic object detection Pedestrian detection Features: Histograms of oriented gradients

More information

Hidden Markov Models

Hidden Markov Models 10-601 Introduction to Machine Learning Machine Learning Department School of Computer Science Carnegie Mellon University Hidden Markov Models Matt Gormley Lecture 22 April 2, 2018 1 Reminders Homework

More information

Graphical Models for Collaborative Filtering

Graphical Models for Collaborative Filtering Graphical Models for Collaborative Filtering Le Song Machine Learning II: Advanced Topics CSE 8803ML, Spring 2012 Sequence modeling HMM, Kalman Filter, etc.: Similarity: the same graphical model topology,

More information

ECE521 Lecture7. Logistic Regression

ECE521 Lecture7. Logistic Regression ECE521 Lecture7 Logistic Regression Outline Review of decision theory Logistic regression A single neuron Multi-class classification 2 Outline Decision theory is conceptually easy and computationally hard

More information

Machine Learning

Machine Learning Machine Learning 10-601 Tom M. Mitchell Machine Learning Department Carnegie Mellon University February 4, 2015 Today: Generative discriminative classifiers Linear regression Decomposition of error into

More information

arxiv: v3 [cs.lg] 2 Nov 2018

arxiv: v3 [cs.lg] 2 Nov 2018 PacGAN: The power of two samples in generative adversarial networks Zinan Lin, Ashish Khetan, Giulia Fanti, Sewoong Oh Carnegie Mellon University, University of Illinois at Urbana-Champaign arxiv:72.486v3

More information

Log-linear models (part 1)

Log-linear models (part 1) Log-linear models (part 1) CS 690N, Spring 2018 Advanced Natural Language Processing http://people.cs.umass.edu/~brenocon/anlp2018/ Brendan O Connor College of Information and Computer Sciences University

More information

Generative Adversarial Networks (GANs) for Discrete Data. Lantao Yu Shanghai Jiao Tong University

Generative Adversarial Networks (GANs) for Discrete Data. Lantao Yu Shanghai Jiao Tong University Generative Adversarial Networks (GANs) for Discrete Data Lantao Yu Shanghai Jiao Tong University http://lantaoyu.com July 26, 2017 Self Introduction Lantao Yu Position Research Assistant at CS Dept. of

More information

Posterior Regularization

Posterior Regularization Posterior Regularization 1 Introduction One of the key challenges in probabilistic structured learning, is the intractability of the posterior distribution, for fast inference. There are numerous methods

More information

arxiv: v1 [stat.ml] 19 Jan 2018

arxiv: v1 [stat.ml] 19 Jan 2018 Composite Functional Gradient Learning of Generative Adversarial Models arxiv:80.06309v [stat.ml] 9 Jan 208 Rie Johnson RJ Research Consulting Tarrytown, NY, USA riejohnson@gmail.com Abstract Tong Zhang

More information

Feedforward Neural Networks

Feedforward Neural Networks Feedforward Neural Networks Michael Collins 1 Introduction In the previous notes, we introduced an important class of models, log-linear models. In this note, we describe feedforward neural networks, which

More information