Deep Gaussian Processes

TPOT: A Tree-based Pipeline Optimization Tool for ...

JMLR: Workshop and Conference Proceedings 64:66{74, 2016 ICML 2016 AutoML Workshop TPOT: A Tree-based Pipeline Optimization Tool for Automating Machine …

  Automating, Machine, Tool, Pipeline, Optimization, Pipeline optimization tool for automating machine

Ensembles for Time Series Forecasting

Ensembles for Time Series Forecasting set of real world time series. Our results clearly indicate that this is a promising research direction. In Section2we provide a brief description of the tasks being tackled in this paper.

  Series, Time, Time series, Forecasting, Beslenme, Ensembles for time series forecasting

Show, Attend and Tell: Neural Image CaptionGeneration …

Show, Attend and Tell: Neural Image Caption Generation with Visual Attention Kelvin Xu? KELVIN.XU@UMONTREAL.CA Jimmy Lei Bay JIMMY@PSI.UTORONTO.CA Ryan Kirosy RKIROS@CS.TORONTO.EDU Kyunghyun Cho?

  Image, Attention, Neural, Tell, And tell, Neural image captiongeneration, Captiongeneration

Wasserstein Generative Adversarial Networks

Wasserstein Generative Adversarial Networks Figure 1: These plots show ˆ(P ;P 0) as a function of when ˆis the EM distance (left plot) or the JS divergence (right plot).The EM plot is continuous and provides a usable gradient everywhere.

  Network, Adversarial, Generative, Wasserstein generative adversarial networks, Wasserstein

Self-Attention Generative Adversarial Networks

Self-Attention Generative Adversarial Networks Figure 1. The proposed SAGAN generates images by leveraging complementary features in distant portions of the image rather than local regions of fixed shape to generate consistent objects/scenarios. In each row, the first image shows five representative query locations with color coded dots.

  Network, Self, Attention, Adversarial, Generative, Self attention generative adversarial networks

Generative Adversarial Text to Image Synthesis

deep convolutional decoder networks to generate realistic images.Dosovitskiy et al.(2015) trained a deconvolutional network (several layers of convolution and upsampling) to generate 3D chair renderings conditioned on a set of graph-ics codes indicating shape, position and lighting.Yang et al. (2015) added an encoder network as well as actions ...

  Image, Texts, Decoder, Synthesis, Deep, Encoder, Convolutional, Text to image synthesis, Deep convolutional decoder

On the di culty of training recurrent neural networks

On the di culty of training recurrent neural networks @Et+1 @xt+1 Et Et+1 Et 1 xt 1 xt +1 ut +11 u tu @Et @xt @Et1 @xt1 @ xt +2 @xt +1 @x +1 x @xt1 @xt1 @xt2 Figure 2. Unrolling recurrent neural networks in time by creating a copy of the model for each time step.

Noise-contrastive estimation: A new estimation principle ...

ated noise y. The estimation principle thus relies on noise with which the data is contrasted, so that we will refer to the new method as “noise-contrastive estima-tion”. In Section 2, we formally define noise-contrastive es-timation, establish fundamental statistical properties, and make the connection to supervised learning ex-plicit.

  Into, Noise, Estimation, Contrastive, Noise contrastive estimation, Noise contrastive estima tion, Estima, Timation

Gender Shades: Intersectional Accuracy Disparities in ...

117 million Americans are included in law en-forcement face recognition networks. A year-long research investigation across 100 police de-partments revealed that African-American indi-viduals are more likely to be stopped by law enforcement and be subjected to face recogni-tion searches than individuals of other ethnici-ties (Garvie et al.,2016).

  Enforcement, Gender, Shades, Stopped, Forcement, Stopped by law enforcement, Law en forcement, Gender shades

Variational Inference with Normalizing Flows

provement in performance (Mnih & Gregor,2014). There is also a large body of evidence that describes the detri-mental effect of limited posterior approximations.Turner & Sahani(2011) provide an exposition of two commonly experienced problems. The first is the widely-observed problem of under-estimation of the variance of the poste-

  Inference, Estimation, Gregor, Variational, Variational inference

Gaussian processes - Stanford University

of multivariate Gaussian distributions and their properties. In Section 2, we briefly review Bayesian methods in the context of probabilistic linear regression. The central ideas under-lying Gaussian processes are presented in Section 3, and we derive the full Gaussian process regression model in Section 4.

  Process, Multivariate, Gaussian, Gaussian process, Multivariate gaussian

The Gaussian distribution

The d-dimensional multivariate Gaussian distribution is speci˙ed by the parameters and . Without any further restrictions, specifying requires dparameters and specifying requires a further d 2 = ( 1) 2. The number of parameters therefore grows quadratically in the dimension,

  Multivariate, Gaussian, Multivariate gaussian

Canonical Correlation a Tutorial

For Gaussian variables this means I (x; y)= 1 2 log Q i (1 2) = X i: (9) Kay [13] has shown that this relation plus a constant holds for all elliptically sym- ... and multivariate linear regression (MLR). The matrices are listed in table 1. 4. A B PCA C xx I PLS 0 C xy C yx 0 I I CCA 0 C xy C yx 0 xx yy MLR 0 C xy C yx 0 xx I Table 1: The ...

  Correlations, Tutorials, Multivariate, Canonical, Gaussian, Canonical correlation a tutorial

Lecture21. TheMultivariateNormalDistribution

n aresaidtohavethemultivariate normal distribution ortobejointly Gaussian (wealsosaythattherandomvector(X 1,...,X n) isGaussian)if M(t 1,...,t n)=exp(t 1µ 1 +···+t nµ n)exp 1 2 n i,j=1 t ia ijt j wherethet i andµ j arearbitraryrealnumbers,andthematrixA issymmetricand positivedefinite. Beforewedoanythingelse ...

  Gaussian

Taylor Approximation and the Delta Method

4 Multivariate Delta Method We have actually already seen the multivariate precursor to the multivariate extension to the Delta Method. We use an example to illustrate the usage. 4.1 Moments of a Ratio Estimator Suppose Xand Y are random variables with nonsero means X and Y, respectively. The para-metric function to be estimated is g( X; Y) = X ...

  Methods, Delta, Taylor, Multivariate, Approximation, Taylor approximation and the delta method, The multivariate

The EM Algorithm for Gaussian Mixtures

Gaussian Mixture Models For x ∈ Rd we can define a Gaussian mixture model by making each of the K components a Gaussian density with parameters µ k and Σ k. Each component is a multivariate Gaussian density p k(x|θ k) = 1 (2π)d/2|Σ k|1/2 e− 1 2 (x−µ k)tΣ− k (x−µ ) with its own parameters θ k = {µ k,Σ k}. The EM Algorithm ...

  Multivariate, Gaussian, Multivariate gaussian

IEOR E4602: Quantitative Risk Management Spring 2016 2016 ...

nancial crisis { hence the infamy of the Gaussian copula model. 1 Introduction and Main Results Copulas are functions that enable us to separate the marginal distributions from the dependency structure of a given multivariate distribution. They are useful for several reasons. First, they help to expose and understand

  Multivariate, Gaussian

Basic Properties of Brownian Motion

is a Gaussian processes, i.e. all its FDDs (finite dimensional distributions) are multivariate normal. Note that X is a Markov process, with stationary independent increments, with x the initial state, δ the drift parameter, σ2 the variance parameter. These three parameters determine all the FDDs of (X t,t ≥ 0), which

  Multivariate, Gaussian