K-nearest Neighbor Search by Random Projection Forests

K-nearest neighbor (kNN) search has wide applications in many areas, including data mining, machine learning, statistics and many applied domains. Inspired by the success of ensemble methods and the flexibility of tree-based methodology, we propose random projection forests (rpForests), for kNN search. rpForests finds kNNs by aggregating results from an ensemble of random projection trees with each constructed recursively through a series of carefully chosen random projections. rpForests achieves a remarkable accuracy in terms of fast decay in the missing rate of kNNs and that of discrepancy in the kNN distances. rpForests has a very low computational complexity. The ensemble nature of rpForests makes it easily run in parallel on multicore or clustered computers; the running time is expected to be nearly inversely proportional to the number of cores or machines. We give theoretical insights by showing the exponential decay of the probability that neighboring points would be separated by ensemble random projection trees when the ensemble size increases. Our theory can be used to refine the choice of random projections in the growth of trees, and experiments show that the effect is remarkable.Comment: 15 pages, 4 figures, 2018 IEEE Big Data Conferenc

An intelligent information forwarder for healthcare big data systems with distributed wearable sensors

© 2016 IEEE. An increasing number of the elderly population wish to live an independent lifestyle, rather than rely on intrusive care programmes. A big data solution is presented using wearable sensors capable of carrying out continuous monitoring of the elderly, alerting the relevant caregivers when necessary and forwarding pertinent information to a big data system for analysis. A challenge for such a solution is the development of context-awareness through the multidimensional, dynamic and nonlinear sensor readings that have a weak correlation with observable human behaviours and health conditions. To address this challenge, a wearable sensor system with an intelligent data forwarder is discussed in this paper. The forwarder adopts a Hidden Markov Model for human behaviour recognition. Locality sensitive hashing is proposed as an efficient mechanism to learn sensor patterns. A prototype solution is implemented to monitor health conditions of dispersed users. It is shown that the intelligent forwarders can provide the remote sensors with context-awareness. They transmit only important information to the big data server for analytics when certain behaviours happen and avoid overwhelming communication and data storage. The system functions unobtrusively, whilst giving the users peace of mind in the knowledge that their safety is being monitored and analysed

New scalable machine learning methods: beyond classification and regression

Programa Oficial de Doutoramento en Computación . 5009V01[Abstract] The recent surge in data available has spawned a new and promising age of machine learning. Success cases of machine learning are arriving at an increasing rate as some algorithms are able to leverage immense amounts of data to produce great complicated predictions. Still, many algorithms in the toolbox of the machine learning practitioner have been render useless in this new scenario due to the complications associated with large-scale learning. Handling large datasets entails logistical problems, limits the computational and spatial complexity of the used algorithms, favours methods with few or no hyperparameters to be con gured and exhibits speci c characteristics that complicate learning. This thesis is centered on the scalability of machine learning algorithms, that is, their capacity to maintain their e ectivity as the scale of the data grows, and how it can be improved. We focus on problems for which the existing solutions struggle when the scale grows. Therefore, we skip classi cation and regression problems and focus on feature selection, anomaly detection, graph construction and explainable machine learning. We analyze four di erent strategies to obtain scalable algorithms. First, we explore distributed computation, which is used in all of the presented algorithms. Besides this technique, we also examine the use of approximate models to speed up computations, the design of new models that take advantage of a characteristic of the input data to simplify training and the enhancement of simple models to enable them to manage large-scale learning. We have implemented four new algorithms and six versions of existing ones that tackle the mentioned problems and for each one we report experimental results that show both their validity in comparison with competing methods and their capacity to scale to large datasets. All the presented algorithms have been made available for download and are being published in journals to enable practitioners and researchers to use them.[Resumen] El reciente aumento de la cantidad de datos disponibles ha dado lugar a una nueva y prometedora era del aprendizaje máquina. Los éxitos en este campo se están sucediendo a un ritmo cada vez mayor gracias a la capacidad de algunos algoritmos de aprovechar inmensas cantidades de datos para producir predicciones difíciles y muy certeras. Sin embargo, muchos de los algoritmos hasta ahora disponibles para los científicos de datos han perdido su efectividad en este nuevo escenario debido a las complicaciones asociadas al aprendizaje a gran escala. Trabajar con grandes conjuntos de datos conlleva problemas logísticos, limita la complejidad computacional y espacial de los algoritmos utilizados, favorece los métodos con pocos o ningún hiperparámetro a configurar y muestra complicaciones específicas que dificultan el aprendizaje. Esta tesis se centra en la escalabilidad de los algoritmos de aprendizaje máquina, es decir, en su capacidad de mantener su efectividad a medida que la escala del conjunto de datos aumenta. Ponemos el foco en problemas cuyas soluciones actuales tienen problemas al aumentar la escala. Por tanto, obviando la clasificación y la regresión, nos centramos en la selección de características, detección de anomalías, construcción de grafos y en el aprendizaje máquina explicable. Analizamos cuatro estrategias diferentes para obtener algoritmos escalables. En primer lugar, exploramos la computación distribuida, que es utilizada en todos los algoritmos presentados. Además de esta técnica, también examinamos el uso de modelos aproximados para acelerar los cálculos, el dise~no de modelos que aprovechan una particularidad de los datos de entrada para simplificar el entrenamiento y la potenciación de modelos simples para adecuarlos al aprendizaje a gran escala. Hemos implementado cuatro nuevos algoritmos y seis versiones de algoritmos existentes que tratan los problemas mencionados y para cada uno de ellos detallamos resultados experimentales que muestran tanto su validez en comparación con los métodos previamente disponibles como su capacidad para escalar a grandes conjuntos de datos. Todos los algoritmos presentados han sido puestos a disposición del lector para su descarga y se han difundido mediante publicaciones en revistas científicas para facilitar que tanto investigadores como científicos de datos puedan conocerlos y utilizarlos.[Resumo] O recente aumento na cantidade de datos dispo~nibles deu lugar a unha nova e prometedora era no aprendizaxe máquina. Os éxitos neste eido estanse a suceder a un ritmo cada vez maior gracias a capacidade dalgúns algoritmos de aproveitar inmensas cantidades de datos para producir prediccións difíciles e moi acertadas. Non obstante, moitos dos algoritmos ata agora dispo~nibles para os científicos de datos perderon a súa efectividade neste novo escenario por mor das complicacións asociadas ao aprendizaxe a grande escala. Traballar con grandes conxuntos de datos leva consigo problemas loxísticos, limita a complexidade computacional e espacial dos algoritmos empregados, favorece os métodos con poucos ou ningún hiperparámetro a configurar e ten complicacións específicas que dificultan o aprendizaxe. Esta tese céntrase na escalabilidade dos algoritmos de aprendizaxe máquina, é dicir, na súa capacidade de manter a súa efectividade a medida que a escala do conxunto de datos aumenta. Tratamos problemas para os que as solucións dispoñibles teñen problemas cando crece a escala. Polo tanto, deixando no canto a clasificación e a regresión, centrámonos na selección de características, detección de anomalías, construcción de grafos e no aprendizaxe máquina explicable. Analizamos catro estratexias diferentes para obter algoritmos escalables. En primeiro lugar, exploramos a computación distribuída, que empregamos en tódolos algoritmos presentados. Ademáis desta técnica, tamén examinamos o uso de modelos aproximados para acelerar os cálculos, o deseño de modelos que aproveitan unha particularidade dos datos de entrada para simplificar o adestramento e a potenciación de modelos sinxelos para axeitalos ao aprendizaxe a gran escala. Implementamos catro novos algoritmos e seis versións de algoritmos existentes que tratan os problemas mencionados e para cada un deles expoñemos resultados experimentais que mostran tanto a súa validez en comparación cos métodos previamente dispoñibles como a súa capacidade para escalar a grandes conxuntos de datos. Tódolos algoritmos presentados foron postos a disposición do lector para a súa descarga e difundíronse mediante publicacións en revistas científicas para facilitar que tanto investigadores como científicos de datos poidan coñecelos e empregalos

Data Imputation through the Identification of Local Anomalies

We introduce a comprehensive and statistical framework in a model free setting for a complete treatment of localized data corruptions due to severe noise sources, e.g., an occluder in the case of a visual recording. Within this framework, we propose i) a novel algorithm to efficiently separate, i.e., detect and localize, possible corruptions from a given suspicious data instance and ii) a Maximum A Posteriori (MAP) estimator to impute the corrupted data. As a generalization to Euclidean distance, we also propose a novel distance measure, which is based on the ranked deviations among the data attributes and empirically shown to be superior in separating the corruptions. Our algorithm first splits the suspicious instance into parts through a binary partitioning tree in the space of data attributes and iteratively tests those parts to detect local anomalies using the nominal statistics extracted from an uncorrupted (clean) reference data set. Once each part is labeled as anomalous vs normal, the corresponding binary patterns over this tree that characterize corruptions are identified and the affected attributes are imputed. Under a certain conditional independency structure assumed for the binary patterns, we analytically show that the false alarm rate of the introduced algorithm in detecting the corruptions is independent of the data and can be directly set without any parameter tuning. The proposed framework is tested over several well-known machine learning data sets with synthetically generated corruptions; and experimentally shown to produce remarkable improvements in terms of classification purposes with strong corruption separation capabilities. Our experiments also indicate that the proposed algorithms outperform the typical approaches and are robust to varying training phase conditions

A Hierarchical Framework Using Approximated Local Outlier Factor for Efficient Anomaly Detection

AbstractAnomaly detection aims to identify rare events that deviate remarkably from existing data. To satisfy real-world appli- cations, various anomaly detection technologies have been proposed. Due to the resource constraints, such as limited energy, computation ability and memory storage, most of them cannot be directly used in wireless sensor networks (WSNs). In this work, we proposed a hierarchical anomaly detection framework to overcome the challenges of anomaly detection in WSNs. We aim to detect anomalies by the accurate model and the approximated model learned at the re- mote server and sink nodes, respectively. Besides the framework, we also proposed an approximated local outlier factor algorithm, which can be learned at the sink nodes. The proposed algorithm is more efficient in computation and storage by comparing with the standard one. Experimental results verify the feasibility of our proposed method in terms of both accuracy and efficiency

CLAM-Accelerated K-Nearest Neighbors Entropy-Scaling Search of Large High-Dimensional Datasets via an Actualization of the Manifold Hypothesis

Many fields are experiencing a Big Data explosion, with data collection rates outpacing the rate of computing performance improvements predicted by Moore's Law. Researchers are often interested in similarity search on such data. We present CAKES (CLAM-Accelerated $K$-NN Entropy Scaling Search), a novel algorithm for $k$-nearest-neighbor ($k$-NN) search which leverages geometric and topological properties inherent in large datasets. CAKES assumes the manifold hypothesis and performs best when data occupy a low dimensional manifold, even if the data occupy a very high dimensional embedding space. We demonstrate performance improvements ranging from hundreds to tens of thousands of times faster when compared to state-of-the-art approaches such as FAISS and HNSW, when benchmarked on 5 standard datasets. Unlike locality-sensitive hashing approaches, CAKES can work with any user-defined distance function. When data occupy a metric space, CAKES exhibits perfect recall.Comment: As submitted to IEEE Big Data 202

FLASH: Randomized Algorithms Accelerated over CPU-GPU for Ultra-High Dimensional Similarity Search

We present FLASH (\textbf{F}ast \textbf{L}SH \textbf{A}lgorithm for \textbf{S}imilarity search accelerated with \textbf{H}PC), a similarity search system for ultra-high dimensional datasets on a single machine, that does not require similarity computations and is tailored for high-performance computing platforms. By leveraging a LSH style randomized indexing procedure and combining it with several principled techniques, such as reservoir sampling, recent advances in one-pass minwise hashing, and count based estimations, we reduce the computational and parallelization costs of similarity search, while retaining sound theoretical guarantees. We evaluate FLASH on several real, high-dimensional datasets from different domains, including text, malicious URL, click-through prediction, social networks, etc. Our experiments shed new light on the difficulties associated with datasets having several million dimensions. Current state-of-the-art implementations either fail on the presented scale or are orders of magnitude slower than FLASH. FLASH is capable of computing an approximate k-NN graph, from scratch, over the full webspam dataset (1.3 billion nonzeros) in less than 10 seconds. Computing a full k-NN graph in less than 10 seconds on the webspam dataset, using brute-force ($n^2D$), will require at least 20 teraflops. We provide CPU and GPU implementations of FLASH for replicability of our results