ruptures
ruptures is a Python library for offline change point detection. This package provides methods for the analysis and segmentation of non-stationary signals. Implemented algorithms include exact and approximate detection for various parametric and non-parametric models. ruptures focuses on ease of use by providing a well-documented and consistent interface. In addition, thanks to its modular structure, different algorithms and models can be connected and extended within this package. …

Adversarial Clustering
Nowadays more and more data are gathered for detecting and preventing cyber attacks. In cyber security applications, data analytics techniques have to deal with active adversaries that try to deceive the data analytics models and avoid being detected. The existence of such adversarial behavior motivates the development of robust and resilient adversarial learning techniques for various tasks. Most of the previous work focused on adversarial classification techniques, which assumed the existence of a reasonably large amount of carefully labeled data instances. However, in practice, labeling the data instances often requires costly and time-consuming human expertise and becomes a significant bottleneck. Meanwhile, a large number of unlabeled instances can also be used to understand the adversaries’ behavior. To address the above mentioned challenges, in this paper, we develop a novel grid based adversarial clustering algorithm. Our adversarial clustering algorithm is able to identify the core normal regions, and to draw defensive walls around the centers of the normal objects utilizing game theoretic ideas. Our algorithm also identifies sub-clusters of attack objects, the overlapping areas within clusters, and outliers which may be potential anomalies. …

Multi-Objective Nonnegative Matrix Factorization (MO-NMF)
Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise) assumed on the data. In many applications, the noise model is unknown and difficult to estimate. In this paper, we define a multi-objective Nonnegative matrix factorization (MO-NMF) problem, where several objectives are combined within the same NMF model. We propose to use Lagrange duality to judiciously optimize for a set of weights to be used within the framework of the weighted-sum approach, that is, we minimize a single objective function which is a weighted sum of the all objective functions. We design a simple algorithm using multiplicative updates to minimize this weighted sum. We show how this can be used to find distributionally robust NMF solutions, that is, solutions that minimize the largest error among all objectives. We illustrate the effectiveness of this approach on synthetic, document and audio datasets. The results show that DR-NMF is robust to our incognizance of the noise model of the NMF problem. …

learn2search
We consider the problem of searching in a set of items by using pairwise comparisons. We aim to locate a target item $t$ by asking an oracle questions of the form ‘Which item from the pair $(i,j)$ is more similar to t?’. We assume a blind setting, where no item features are available to guide the search process; only the oracle sees the features in order to generate an answer. Previous approaches for this problem either assume noiseless answers, or they scale poorly in the number of items, both of which preclude practical applications. In this paper, we present a new scalable learning framework called learn2search that performs efficient comparison-based search on a set of items despite the presence of noise in the answers. Items live in a space of latent features, and we posit a probabilistic model for the oracle comparing two items $i$ and $j$ with respect to a target $t$. Our algorithm maintains its own representation of the space of items, which it learns incrementally based on past searches. We evaluate the performance of learn2search on both synthetic and real-world data, and show that it learns to search more and more efficiently, over time matching the performance of a scheme with access to the item features. …