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The mixture of Gaussian distributions, a soft version of k-means , is considered a state-of-the-art clustering algorithm. It is widely used in computer vision for selecting classes, e.g., color, texture, and shapes. In this algorithm, each…

Machine Learning · Statistics 2016-12-30 Mahajabin Rahman , Davi Geiger

This work provides a computationally efficient and statistically consistent moment-based estimator for mixtures of spherical Gaussians. Under the condition that component means are in general position, a simple spectral decomposition…

Machine Learning · Computer Science 2012-10-30 Daniel Hsu , Sham M. Kakade

Autonomous agents must be able to safely interact with other vehicles to integrate into urban environments. The safety of these agents is dependent on their ability to predict collisions with other vehicles' future trajectories for…

Robotics · Computer Science 2020-02-07 Andrew Patterson , Aditya Gahlawat , Naira Hovakimyan

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Wireless Sensor Networks (WSNs) consist of many low cost and light sensors dispersed in an area to monitor the physical environment. Event detection in WSN area, especially detection of multi-events at the same time, is an important…

Systems and Control · Computer Science 2016-10-14 Mina Moradi Kordmahalleh , Mohammad Gorji Sefidmazgi , Jafar Ghaisari , Javad Askari

In the weakly supervised temporal video grounding study, previous methods use predetermined single Gaussian proposals which lack the ability to express diverse events described by the sentence query. To enhance the expression ability of a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Sunoh Kim , Jungchan Cho , Joonsang Yu , YoungJoon Yoo , Jin Young Choi

We provide an algorithm for properly learning mixtures of two single-dimensional Gaussians without any separability assumptions. Given $\tilde{O}(1/\varepsilon^2)$ samples from an unknown mixture, our algorithm outputs a mixture that is…

Data Structures and Algorithms · Computer Science 2014-05-20 Constantinos Daskalakis , Gautam Kamath

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

In this work we introduce a mixture of GPs to address the data association problem, i.e. to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has…

Machine Learning · Statistics 2011-08-18 Miguel Lázaro-Gredilla , Steven Van Vaerenbergh , Neil Lawrence

Anomaly detection systems need to consider a lot of information when scanning for anomalies. One example is the context of the process in which an anomaly might occur, because anomalies for one process might not be anomalies for a different…

Machine Learning · Computer Science 2021-01-18 Sebastian Eresheim , Lukas Daniel Klausner , Patrick Kochberger

Mixtures of Gaussian (or normal) distributions arise in a variety of application areas. Many heuristics have been proposed for the task of finding the component Gaussians given samples from the mixture, such as the EM algorithm, a…

Probability · Mathematics 2007-05-23 Sanjeev Arora , Ravi Kannan

We study the community detection problem on a Gaussian mixture model, in which vertices are divided into $k\geq 2$ distinct communities. The major difference in our model is that the intensities for Gaussian perturbations are different for…

Social and Information Networks · Computer Science 2020-09-03 Zhongyang Li

Affordances are fundamental descriptors of relationships between actions, objects and effects. They provide the means whereby a robot can predict effects, recognize actions, select objects and plan its behavior according to desired goals.…

Robotics · Computer Science 2024-02-12 Pedro Osório , Alexandre Bernardino , Ruben Martinez-Cantin , José Santos-Victor

Experiments searching for rare processes like neutrinoless double beta decay heavily rely on the identification of background events to reduce their background level and increase their sensitivity. We present a novel machine learning based…

Instrumentation and Detectors · Physics 2019-06-04 P. Holl , L. Hauertmann , B. Majorovits , O. Schulz , M. Schuster , A. J. Zsigmond

We address the new problem of estimating a piece-wise constant signal with the purpose of detecting its change points and the levels of clusters. Our approach is to model it as a nonparametric penalized least square model selection on a…

Machine Learning · Statistics 2019-12-04 Othmane Mazhar , Cristian R. Rojas , Carlo Fischione , Mohammad R. Hesamzadeh

This paper presents a novel method for rare event detection from an image pair with class-imbalanced datasets. A straightforward approach for event detection tasks is to train a detection network from a large-scale dataset in an end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Ryuhei Hamaguchi , Ken Sakurada , Ryosuke Nakamura

Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We give an algorithm for this problem that has a running time, and data requirement polynomial in the dimension and…

Machine Learning · Computer Science 2010-04-27 Ankur Moitra , Gregory Valiant

Instance-level change detection in 3D scenes presents significant challenges, particularly in uncontrolled environments lacking labeled image pairs, consistent camera poses, or uniform lighting conditions. This paper addresses these…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Binbin Jiang , Rui Huang , Qingyi Zhao , Yuxiang Zhang

Extreme temperature events have traditionally been detected assuming a unimodal distribution of temperature data. We found that surface temperature data can be described more accurately with a multimodal rather than a unimodal distribution.…

Atmospheric and Oceanic Physics · Physics 2023-09-14 Aytaç Paçal , Birgit Hassler , Katja Weigel , M. Levent Kurnaz , Michael F. Wehner , Veronika Eyring

In sensing applications, sensors cannot always measure the latent quantity of interest at the required resolution, sometimes they can only acquire a blurred version of it due the sensor's transfer function. To recover latent signals when…

Machine Learning · Statistics 2017-07-20 Felipe Tobar , Gonzalo Rios , Tomás Valdivia , Pablo Guerrero