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20182026
most citedComputing Kantorovich-Wasserstein Distances on -dimensional histograms using -partite graphs

5 citations · 9 across the 21 of their papers we have counts for

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Showing 2024Show all

8 papers · 1 filter

cs.GT2024

Designing Optimal Mechanisms to Locate Facilities with Insufficient Capacity for Bayesian Agents

Gennaro Auricchio, Jie Zhang

In this paper, we study the Facility Location Problem with Scarce Resources (FLPSR) under the assumption that agents' type follow a probability distribution. In the FLPSR, the obje…

math.ST2024

How to measure multidimensional variation?

Gennaro Auricchio, Paolo Giudici, Giuseppe Toscani

The coefficient of variation, which measures the variability of a distribution from its mean, is not uniquely defined in the multidimensional case, and so is the multidimensional G…

stat.ME2024

Multivariate Gini-type discrepancies

Gennaro Auricchio, Giovanni Brigati, Paolo Giudici +1

Measuring distances in a multidimensional setting is a challenging problem, which appears in many fields of science and engineering. In this paper, to measure the distance between…

cs.GT2024

Facility Location Problem with Aleatory Agents

Gennaro Auricchio, Jie Zhang

In this paper, we introduce and study the Facility Location Problem with Aleatory Agents (FLPAA), where the facility accommodates n agents larger than the number of agents reportin…

math.ST2024★ 1 cited

Extending the Gini Index to Higher Dimensions via Whitening Processes

Gennaro Auricchio, Paolo Giudici, Giuseppe Toscani

Measuring the degree of inequality expressed by a multivariate statistical distribution is a challenging problem, which appears in many fields of science and engineering. In this p…

cs.GT2024

Mechanism Design for Locating Facilities with Capacities with Insufficient Resources

Gennaro Auricchio, Harry J. Clough, Jie Zhang

This paper explores the Mechanism Design aspects of the -Capacitated Facility Location Problem where the total facility capacity is less than the number of agents. Following the…

cs.GT2024

The k-Facility Location Problem Via Optimal Transport: A Bayesian Study of the Percentile Mechanisms

Gennaro Auricchio, Jie Zhang

In this paper, we investigate the -Facility Location Problem (-FLP) within the Bayesian Mechanism Design framework, in which agents' preferences are samples of a probability…

cs.GT2024

Facility Location Problems with Capacity Constraints: Two Facilities and Beyond

Gennaro Auricchio, Zihe Wang, Jie Zhang

In this paper, we investigate the Mechanism Design aspects of the -Capacitated Facility Location Problem (-CFLP) on a line. We focus on two frameworks. In the first framework…