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We study the problem of estimating the ridges of a density function. Ridge estimation is an extension of mode finding and is useful for understanding the structure of a density. It can also be used to find hidden structure in point cloud…

Statistics Theory · Mathematics 2014-08-29 Christopher R. Genovese , Marco Perone-Pacifico , Isabella Verdinelli , Larry Wasserman

Modes and ridges of the probability density function behind observed data are useful geometric features. Mode-seeking clustering assigns cluster labels by associating data samples with the nearest modes, and estimation of density ridges…

Machine Learning · Statistics 2018-04-03 Hiroaki Sasaki , Takafumi Kanamori , Aapo Hyvärinen , Gang Niu , Masashi Sugiyama

The set of local modes and density ridge lines are important summary characteristics of the data-generating distribution. In this work, we focus on estimating local modes and density ridges from point cloud data in a product space combining…

Machine Learning · Statistics 2025-05-13 Yikun Zhang , Yen-Chi Chen

Predictive hotspot mapping is an important problem in crime prediction and control. An accurate hotspot mapping helps in appropriately targeting the available resources to manage crime in cities. With an aim to make data-driven decisions…

Applications · Statistics 2026-03-02 Karthik Sriram , Ankur Sinha , Suvashis Choudhary

The large sample theory of estimators for density modes is well understood. In this paper we consider density ridges, which are a higher-dimensional extension of modes. Modes correspond to zero-dimensional, local high-density regions in…

Methodology · Statistics 2015-10-14 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

The success of the Lasso in the era of high-dimensional data can be attributed to its conducting an implicit model selection, i.e., zeroing out regression coefficients that are not significant. By contrast, classical ridge regression can…

Statistics Theory · Mathematics 2021-04-23 Yunyi Zhang , Dimitris N. Politis

Hot-spot-based policing programs aim to deter crime through increased proactive patrols at high-crime locations. While most hot spot programs target easily identified chronic hot spots, we introduce models for predicting temporary hot spots…

Applications · Statistics 2020-11-13 Dylan J. Fitzpatrick , Wilpen L. Gorr , Daniel B. Neill

Crime prevention measures, aiming for the effective and efficient spending of public resources, rely on the empirical analysis of spatial and temporal data for public safety outcomes. We perform a variable-density cluster analysis on crime…

Applications · Statistics 2025-12-09 Ben Moews

This paper studies the linear convergence of the subspace constrained mean shift (SCMS) algorithm, a well-known algorithm for identifying a density ridge defined by a kernel density estimator. By arguing that the SCMS algorithm is a special…

Machine Learning · Statistics 2025-05-13 Yikun Zhang , Yen-Chi Chen

We introduce the concept of coverage risk as an error measure for density ridge estimation. The coverage risk generalizes the mean integrated square error to set estimation. We propose two risk estimators for the coverage risk and we show…

Methodology · Statistics 2015-06-09 Yen-Chi Chen , Christopher R. Genovese , Shirley Ho , Larry Wasserman

We consider the application of a popular penalised regression method, Ridge Regression, to data with very high dimensions and many more covariates than observations. Our motivation is the problem of out-of-sample prediction and the setting…

Applications · Statistics 2012-05-04 Erika Cule , Maria De Iorio

Our study aims to build a machine learning model for crime prediction using geospatial features for different categories of crime. The reverse geocoding technique is applied to retrieve open street map (OSM) spatial data. This study also…

Artificial Intelligence · Computer Science 2020-06-16 Fateha Khanam Bappee , Amilcar Soares Junior , Stan Matwin

Kernel methods for deconvolution have attractive features, and prevail in the literature. However, they have disadvantages, which include the fact that they are usually suitable only for cases where the error distribution is infinitely…

Statistics Theory · Mathematics 2009-09-29 Peter Hall , Alexander Meister

We address the challenge of correlated predictors in high-dimensional GLMs, where regression coefficients range from sparse to dense, by proposing a data-driven random projection method. This is particularly relevant for applications where…

Methodology · Statistics 2025-12-30 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

We present a method to capture groupings of similar calls and determine their relative spatial distribution from a collection of crime record narratives. We first obtain a topic distribution for each narrative, and then propose a nearest…

Machine Learning · Computer Science 2023-09-26 Jonathan Zhou , Sarah Huestis-Mitchell , Xiuyuan Cheng , Yao Xie

Prior art in traffic incident detection relies on high sensor coverage and is primarily based on decision-tree and random forest models that have limited representation capacity and, as a result, cannot detect incidents with high accuracy.…

Machine Learning · Computer Science 2024-08-05 Sai Shashank Peddiraju , Kaustubh Harapanahalli , Edward Andert , Aviral Shrivastava

The objective of this work is to take advantage of deep neural networks in order to make next day crime count predictions in a fine-grain city partition. We make predictions using Chicago and Portland crime data, which is augmented with…

Machine Learning · Statistics 2018-06-06 Alexander Stec , Diego Klabjan

Conventional seismic techniques for detecting the subsurface geologic features are challenged by limited data coverage, computational inefficiency, and subjective human factors. We developed a novel data-driven geological feature detection…

Machine Learning · Computer Science 2018-09-26 Youzuo Lin , Shusen Wang , Jayaraman Thiagarajan , George Guthrie , David Coblentz

Objectives: To develop a deep learning framework to evaluate if and how incorporating micro-level mobility features, alongside historical crime and sociodemographic data, enhances predictive performance in crime forecasting at fine-grained…

Machine Learning · Computer Science 2025-09-26 Ariadna Albors Zumel , Michele Tizzoni , Gian Maria Campedelli

We study variation in policing outcomes attributable to differential policing practices in New York City (NYC) using geographic regression discontinuity designs (GeoRDDs). By focusing on small geographic windows near police precinct…

Methodology · Statistics 2025-07-01 Emmett B. Kendall , Brenden Beck , Joseph Antonelli
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