Performance Analysis
Anomaly Detection with MIDAS
Anomaly detection in graphs is a severe problem finding strange behaviors in systems, like intrusion detection, fake ratings, and financial fraud. To minimize the effect of malicious activities as soon as possible, we need to detect anomalies in real-time to identify an incoming edge and decide if it is anomalous or not. Existing methods, process edge streams in an online manner and can miss a large amount of suspicious activity; in contrast to this, MIDAS detects microclusters anomalies in edge streams using constant time and memory, providing theoretical bounds on the false positive probability. Main MIDAS contributions are: 1. Streaming Microcluster Detection, novel streaming approach for detecting microcluster anomalies; 2. Theoretical Guarantee, on the false positive probability of MIDAS; 3. Effectiveness, MIDAS' experimental results show that MIDAS outperforms the baseline approaches by 42%-48% accuracy and processes the data 162–644 times faster. If we compare MIDAS to previous approaches that detect anomalies in edge streams, we see that MIDAS includes more features like Microcluster Detection and Guarantee on false-positive probability, keeping the other elements of other approaches.
Unlocking the Power of Artificial Intelligence and Big Data in Medicine
Most of the daily news and recently published scientific papers on research, innovations, and applications in artificial intelligence (AI) refer to what is known as machine learning--algorithms using massive amounts of data and various methodologies to find patterns, support decisions, make predictions, or, for the deep learning part, self-identify important features in data. However, AI is a complex concept to grasp, and most people have little understanding of what it really is. AI was founded as an academic discipline in 1956 and, despite its youth, already has a rich history [1,2]. In more than 60 years of exploration and progress, AI has become a large field of research and development involving multidisciplinary approaches to address many challenges, from theoretical frameworks, methods, and tools to real implementations, risk analysis, and impact measures. The definition of AI is a moving target and changes over time with the evolution of the field. Since its early days, the field of AI has allowed the development of many techniques supporting decision support and prediction, as it is usually made by humans. As early as 1958, a perceptron was expected to be able "to walk, talk, see, write, reproduce itself and be conscious of its existence," which led a large scientific controversy between neural network and symbolic reasoning approaches [3].
Deep Synthetic Minority Over-Sampling Technique
Mansourifar, Hadi, Shi, Weidong
Synthetic Minority Over-sampling Technique (SMOTE) is the most popular over-sampling method. However, its random nature makes the synthesized data and even imbalanced classification results unstable. It means that in case of running SMOTE n different times, n different synthesized in-stances are obtained with n different classification results. To address this problem, we adapt the SMOTE idea in deep learning architecture. In this method, a deep neural network regression model is used to train the inputs and outputs of traditional SMOTE. Inputs of the proposed deep regression model are two randomly chosen data points which are concatenated to form a double size vector. The outputs of this model are corresponding randomly interpolated data points between two randomly chosen vectors with original dimension. The experimental results show that, Deep SMOTE can outperform traditional SMOTE in terms of precision, F1 score and Area Under Curve (AUC) in majority of test cases.
Scaling up Kernel Ridge Regression via Locality Sensitive Hashing
Kapralov, Michael, Nouri, Navid, Razenshteyn, Ilya, Velingker, Ameya, Zandieh, Amir
Random binning features, introduced in the seminal paper of Rahimi and Recht (2007), are an efficient method for approximating a kernel matrix using locality sensitive hashing. Random binning features provide a very simple and efficient way of approximating the Laplace kernel but unfortunately do not apply to many important classes of kernels, notably ones that generate smooth Gaussian processes, such as the Gaussian kernel and Matern kernel. In this paper, we introduce a simple weighted version of random binning features and show that the corresponding kernel function generates Gaussian processes of any desired smoothness. We show that our weighted random binning features provide a spectral approximation to the corresponding kernel matrix, leading to efficient algorithms for kernel ridge regression. Experiments on large scale regression datasets show that our method outperforms the accuracy of random Fourier features method.
BoostTree and BoostForest for Ensemble Learning
Zhao, Changming, Wu, Dongrui, Huang, Jian, Yuan, Ye, Zhang, Hai-Tao
Bootstrap aggregation (Bagging) and boosting are two popular ensemble learning approaches, which combine multiple base learners to generate a composite learner. This article proposes BoostForest, which is an ensemble learning approach using BoostTree as base learners and can be used for both classification and regression. BoostTree constructs a tree by gradient boosting, which trains a linear or nonlinear model at each node. When a new sample comes in, BoostTree first sorts it down to a leaf, then computes the final prediction by summing up the outputs of all models along the path from the root node to that leaf. BoostTree achieves high randomness (diversity) by sampling its parameters randomly from a parameter pool, and selecting a subset of features randomly at node splitting. BoostForest further increases the randomness by bootstrapping the training data in constructing different BoostTrees. BoostForest is compared with four classical ensemble learning approaches on 30 classification and regression datasets, demonstrating that it can generate more accurate and more robust composite learners.
Understanding Voting Outcomes through Data Science
After the surprising results of the 2016 presidential election, I wanted to better understand the socio-economic and cultural factors that played a role in voting behavior. With the election results in the books, I thought it would be fun to reverse-engineer a predictive model of voting behavior based on some of the widely available county-level data sets. For example, if you want to answer the question "how could the election have been different if the percentage of people with at least a bachelor's degree had been 2% higher nationwide?" you can simply toggle that parameter up to 1.02 and click "Submit" to find out. The predictions are driven by a random forest classification model that has been tuned and trained on 71 distinct county-level attributes. Using real data, the model has a predictive accuracy of 94.6% and an ROC AUC score of 96%.
Ellipsoidal Subspace Support Vector Data Description
Sohrab, Fahad, Raitoharju, Jenni, Iosifidis, Alexandros, Gabbouj, Moncef
In this paper, we propose a novel method for transforming data into a low-dimensional space optimized for one-class classification. The proposed method iteratively transforms data into a new subspace optimized for ellipsoidal encapsulation of target class data. We provide both linear and non-linear formulations for the proposed method. The method takes into account the covariance of the data in the subspace; hence, it yields a more generalized solution as compared to Subspace Support Vector Data Description for a hypersphere. We propose different regularization terms expressing the class variance in the projected space. We compare the results with classic and recently proposed one-class classification methods and achieve better results in the majority of cases. The proposed method is also noticed to converge much faster than recently proposed Subspace Support Vector Data Description.
Prob2Vec: Mathematical Semantic Embedding for Problem Retrieval in Adaptive Tutoring
Su, Du, Yekkehkhany, Ali, Lu, Yi, Lu, Wenmiao
We propose a new application of embedding techniques for problem retrieval in adaptive tutoring. The objective is to retrieve problems whose mathematical concepts are similar. There are two challenges: First, like sentences, problems helpful to tutoring are never exactly the same in terms of the underlying concepts. Instead, good problems mix concepts in innovative ways, while still displaying continuity in their relationships. Second, it is difficult for humans to determine a similarity score that is consistent across a large enough training set. We propose a hierarchical problem embedding algorithm, called Prob2Vec, that consists of abstraction and embedding steps. Prob2Vec achieves 96.88\% accuracy on a problem similarity test, in contrast to 75\% from directly applying state-of-the-art sentence embedding methods. It is interesting that Prob2Vec is able to distinguish very fine-grained differences among problems, an ability humans need time and effort to acquire. In addition, the sub-problem of concept labeling with imbalanced training data set is interesting in its own right. It is a multi-label problem suffering from dimensionality explosion, which we propose ways to ameliorate. We propose the novel negative pre-training algorithm that dramatically reduces false negative and positive ratios for classification, using an imbalanced training data set.
Coronavirus (COVID-19) Classification using CT Images by Machine Learning Methods
Barstugan, Mucahid, Ozkaya, Umut, Ozturk, Saban
This study presents early phase detection of Coronavirus (COVID-19), which is named by World Health Organization (WHO), by machine learning methods. The detection process was implemented on abdominal Computed Tomography (CT) images. The expert radiologists detected from CT images that COVID-19 shows different behaviours from other viral pneumonia. Therefore, the clinical experts specify that COV\.ID-19 virus needs to be diagnosed in early phase. For detection of the COVID-19, four different datasets were formed by taking patches sized as 16x16, 32x32, 48x48, 64x64 from 150 CT images. The feature extraction process was applied to patches to increase the classification performance. Grey Level Co-occurrence Matrix (GLCM), Local Directional Pattern (LDP), Grey Level Run Length Matrix (GLRLM), Grey-Level Size Zone Matrix (GLSZM), and Discrete Wavelet Transform (DWT) algorithms were used as feature extraction methods. Support Vector Machines (SVM) classified the extracted features. 2-fold, 5-fold and 10-fold cross-validations were implemented during the classification process. Sensitivity, specificity, accuracy, precision, and F-score metrics were used to evaluate the classification performance. The best classification accuracy was obtained as 99.68% with 10-fold cross-validation and GLSZM feature extraction method.
Localized sketching for matrix multiplication and ridge regression
Srinivasa, Rakshith S, Davenport, Mark A, Romberg, Justin
We consider sketched approximate matrix multiplication and ridge regression in the novel setting of localized sketching, where at any given point, only part of the data matrix is available. This corresponds to a block diagonal structure on the sketching matrix. We show that, under mild conditions, block diagonal sketching matrices require only O(stable rank / \epsilon^2) and $O( stat. dim. \epsilon)$ total sample complexity for matrix multiplication and ridge regression, respectively. This matches the state-of-the-art bounds that are obtained using global sketching matrices. The localized nature of sketching considered allows for different parts of the data matrix to be sketched independently and hence is more amenable to computation in distributed and streaming settings and results in a smaller memory and computational footprint.