Methods and principles of building "computer systems that automatically improve with experience."

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Anomaly Detection with Dummy Features (and other Discrete/Categorical Features)

Intro This is my first time posting on here, so please, if anything doesn't seem technically correct, either in the formatting, or the use of correct definitions, I'm interested to know what ...
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247 views

Link Anomaly Detection in Temporal Network

I came across this paper that uses link anomaly detection to predict trending topics, and I found it incredibly intriguing: The paper is "Discovering Emerging Topics in Social Streams via Link Anomaly ...
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724 views

Maximum entropy classifier and sentiment analysis

I am doing a project work in sentiment analysis (on Twitter data) using machine learning approach. In order to find the 'best' way to this I have experimented with naive Bayesian and maximum entropy ...
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158 views

Self-organizing maps: fuzzy input?

as my first post I would like to know if there are SOM implementations (preferably R) available that accept fuzzy input. That is, I have data in which some nominal features are spread out between a ...
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56 views

Expectation Maximization Clarification

I found very helpful tutorial regarding EM algorithm. The example and the picture from the tutorial is simply brilliant. Related question about calculating probabilities how does expectation ...
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96 views

Compressed sensing: Optimization in $L_1$ norm and total variation with fourier coefficients

I'm reading the article Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information (Candes, Romberg and Tao, 2004). In this article they are talking ...
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154 views

How to combine multiple similarity measures?

I have a hyperspectral image where the pixels are 21 channels. So each pixel $\in \mathbb{R}^{21}$. I want to perform clustering on the pixels with similarity defined by two different measures, one ...
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244 views

Statistics for machine learning, papers to start?

I have a background in computer programming and elementary number theory, but no real statistics training, and have recently "discovered" that the amazing world of a whole range of techniques is ...
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415 views

Manifold regularization using laplacian graph in SVM

I'm trying implement Manifold Regularization in Support Vector Machines (SVMs) in Matlab. I'm following the instructions in the paper by Belkin et al.(2006), there's the equation in it: $f^{*} = ...
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80 views

Open-sourced pairwise learning models

I am solving classification problem using pairwise-learning training set. We have 2 classes: bad and good. We also have pairs of objects $(a_i,b_i)_{i=1}^n$, meaning that object $a_i$ is better than ...
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70 views

Rademacher complexity of logistic regression

Consider logistic regression. We have the logistic loss function, $\phi: R\rightarrow [0,1], \phi(u)=\log(1+\exp(-u))$, which is Lipschitz, and we have the linear function class $F=\{f_w:R^d ...
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845 views

Confusion with Vowpal Wabbit's multiple-pass behavior when performing ridge-regression

I have encountered many peculiarities/misunderstandings of Vowpal Wabbit when trying to do online multiple-pass learning. Specifically, I need to solve a Ridge Linear regression problem, with ...
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118 views

What kind of plot am I looking at?

I stumbled on to these following two slides (slides 21 & 22 on a machine learning tutorial found here): The first is obviously an $x,y$ scatterplot of height and weight. But what is the ...
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208 views

Choosing an appropriate minibatch size for stochastic gradient descent (SGD)

Is there any literature that examines the choice of minibatch size when performing stochastic gradient descent? In my experience, it seems to be an empirical choice, usually found via ...
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158 views

Under which conditions do gradient boosting machines outperform random forests?

Can Friedman's gradient boosting machine achieve better performance than random forests? If so, in which conditions or what kind of data set can make gbm better?
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57 views

How to model the distribution of a word game in order to find correlation between demographics and chosen words

I have an experiment (in the form of a word game) whereby people are asked to choose a set of words to describe associations with a topic with the aim of having another person guess the topic. I ...
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104 views

What is Recurrent Reinforcement Learning

I recently came across the word of "Recurrent Reinforcement Learning". I understand what "Recurrent Neural Network" is and what "Reinforcement Learning" is, but couldn't find much information about ...
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468 views

Post processing random forests using regularised regression: what about bias?

I have been playing around with post processing the results of the random forest for regression machine learning algorithm in order to try and do better than the default mean of all trees prediction. ...
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94 views

Graphical nominal model

Suppose I have a set of $k$ matrices. $$ \mathbb D = A_1,A_2,...,A_k $$ Each column of $A$ is categorical vector. $$ A = v_1,v_2,...,v_n $$ I want to find the mapping $$ f: A ...
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167 views

Category selection for text classification

It is said that to achieve a good result (many different metrics) for text classification, it is not always a business of selecting the algorithm/classifier. Sometimes, it is even more important to ...
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20 views

Is it possible for a reinforcement learning agent to create or generate additional features

I have little background knowledge of Machine Learning, so please forgive me if my question seems silly. Based on what I've read, the best model-free reinforcement learning algorithm to this date is ...
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27 views

Bounding the expectation of the difference between empirical vs generalization error

Let the (defect) difference between empirical and generalization error be: $$D[f_S] = I_S[f_S] - I[f_S]$$ where the empirical risk is: $$I_S[f_S] = \frac{1}{n}\sum^n_{i=1} V(f_S,z_i)$$ where ...
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35 views

Explanation for large difference in SVM and Naive bayes results

I have a dataset with 389 data evenly distributed into 6 classes. Each data has 1024 features. So my dimension is much larger than my observation data. I have tried to see some common classifiers on ...
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42 views

Connections between d' (d-prime) and AUC (Area Under the ROC Curve); underlying assumptions

In machine learning we may use the area under the ROC curve (often abbreviated AUC, or AUROC) to summarise how well a system can discriminate between two categories. In signal detection theory often ...
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71 views

Duda, Hart, Stork No Free Lunch Discussion

Please see this question regarding Duda, Hart, and Stork's No Free Lunch Thm Discussion Hi all, I was having trouble understanding the description of the NFL theorem in Duda, Hart, and Stork. My ...
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124 views

Generalized linear model with lasso regularization for continuous non-negative response

I have a big data problem with a large number of predictors and a non-negative response (time until inspection). For a full model I would use a glm with Gamma distributed response (link="log"). ...
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58 views

Vapniks proof of the basic lemma

In his book Statistical Learning Theory (1998), Vladimir Vapnik proves an inequality needed to prove a bound on the risk for indicator loss functions. Theorem 4.1 on page 133 he derives the following ...
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54 views

What is the posterior probability of the data given the model used for model averaging with Bayesian Logistic Regression?

I am trying to learn about Bayesian Model Averaging using Bayesian Logistic Regression (Genkin, A., Lewis, D. D., & Madigan, D. (2007). Large-scale Bayesian logistic regression for text ...
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27 views

Record linkage when sources have different fields

I have read a little about record linkage, but it seems to me that a requirement is that all fields in both sources can be compared. For example, with sources A and B, an assumption is that we can ...
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50 views

How to estimate False Discovery Rate from p-value distribution?

I have learned many models and I calculated p-values for the cross-validation errors. I want to select significant models based on the false discovery rate (FDR). How can I estimate the FDR from ...
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119 views

How to perform hypothesis testing for comparing different classifiers

I am trying to classify a small dataset (around 500 records) into two classes. I used various methods like SVM, Naive Bayes and k-nn classifier. Now, I would like to set the results from one of the ...
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42 views

Machine learning with ordered labels

The usual method for adapting binary classifiers like various SVMs to multilabel data is one-vs-all, which assumes that labels are independent and in case of a prediction error we don't care what ...
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236 views

Evaluating a regression model's performance using training and test sets?

I often hear about evaluating a classification model's performance by holding out the test set and training a model on the training set. Then creating 2 vectors, one for the predicted values and one ...
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50 views

Reconstruct a “blocky” picture?

Consider a finite set $A$. Let the sample space be $A\times A$. We have an unknown probability distribution $f$ on this sample space. Now this probability distribution has a "blocky" property, which I ...
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75 views

Standard deviation in regression trees

In a regression tree, it is often assumed that each leaf is a Gaussian distribution $\mathcal{N}(\mu_i, \sigma)$, where $i$ is the index the leaf. Is $\sigma$ calculated as the standard deviation ...
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604 views

Is R-squared value appropriate for comparing models?

I'm trying to identify the best model to predict the prices of automobiles, using the prices and features available on automobile classified advertisement sites. For this I used couple a of models ...
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35 views

Selecting problems of the appropriate difficulty based for adaptive learning

I'm currently working on an adaptive learning system for high school maths. Students complete questions in quizzes and I need to be able to select questions of the appropriate difficulty level (say ...
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76 views

Quality of a model and the bias-variance tradeoff

Take linear regression as the example, given one specific data set $D_1=\{(x_1,y_1),...(x_n,y_n)\}$, we could train a model with one specific parameter estimate $\hat\theta_1$, if we do the training ...
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87 views

Proof of Theorem 7.3 in book of Probabilistic Graphical Models by Daphne Koller

I'm studying graphical models myself and reading contents about bayesian networks. When I am reading in page 371, section 8.1.4 Linear-Gaussian models, in Pattern Recognition and Machine Learning, I ...
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91 views

Mutual information/pointwise mutual information for measuring prediction

I want to measure how well I predict a vector $Y$ (vector not a label) for observation $X$. Both $X$ and $Y$ have the same set of features ($1\times n$). For that, I thought of "scoring" the ...
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376 views

How to think of features in NLP problems

I am working on a Named Entity Recognition (NER) project. Instead of using an existing library, I decided to implement one from scratch because I wanna learn the basics of how PGMs work under the ...
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78 views

Concerns about housing data mining

Can anyone suggest me good papers related to housing data mining. I have googled for a while and couldn't find any recent paper. I am assuming that people have stopped doing any mining related to ...
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119 views

Linear Discriminant Analysis: Using subject as classification

I have a problem where I need to identify from which subject a particular set of data points came. More specifically, my problem is that I need to demonstrate that my subjects (N=9) can be ...
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115 views

Large n small p regression - Machine Learning

In the area of machine learning, most of the algorithms are intended for small n large p problems. I am familiar with the statistical techniques of PCA, etc but was wondering what algorithms are ...
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225 views

Prediction using SVD and Fisher's linear discriminant

Where can I get an explanation of the procedure used when making a prediction using SVD? Let me elaborate a bit more. Suppose you have data in a matrix $A$ containing two classes. In particular, you ...
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47 views

Reducing the dimension of an embedding

Let $O \in \mathbb R^{p\times m}$ be a data matrix of observations. Suppose we are given a model $\mu : \mathbb R^n \rightarrow \mathbb R^m$ which is able to approximately fit the observations. Fix ...
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53 views

Integrating Prior estimates in Simrank Model

I am reading SimRank paper by Jeh and Widom which tries to find the similarity between objects based on the relationships between them. Effectively, SimRank is a measure that says "two objects are ...
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487 views

k-fold cross validation vs k times hold-out validation

I am facing the evaluation of a genetic programming algorithm. I am using the Proben1 cancer1 dataset to evaluate the models created by this algorithm. This dataset contains 699 samples, which is ...
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129 views

Latent Semantic Analysis - Co-occurrence of words

Let $A[n\times m]$ represents the term-document matrix, where, $n$ is the number of terms and $m$ is the number of documents. This matrix can be composed into 3 matrices (SVD decomposition) such as, ...
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122 views

Using priors to detect an effect? logistic Bayesian regression

I have designed an idea and am looking for similar approaches in other literature/areas or if I have applied the Bayesian concepts wrongly. Here is a statement of my problem: I am modeling the ...