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The heterogeneity-gap between different modalities brings a significant challenge to multimedia information retrieval. Some studies formalize the cross-modal retrieval tasks as a ranking problem and learn a shared multi-modal embedding…

Machine Learning · Computer Science 2017-07-11 Minnan Luo , Xiaojun Chang , Zhihui Li , Liqiang Nie , Alexander G. Hauptmann , Qinghua Zheng

The network pricing problem (NPP) is a bilevel problem, where the leader optimizes its revenue by deciding on the prices of certain arcs in a graph, while expecting the followers (also known as the commodities) to choose a shortest path…

Optimization and Control · Mathematics 2024-01-31 Quang Minh Bui , Margarida Carvalho , José Neto

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

The last decade has seen a revolution in the theory and application of machine learning and pattern recognition. Through these advancements, variable ranking has emerged as an active and growing research area and it is now beginning to be…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Giorgio Roffo

Rooted phylogenetic networks allow biologists to represent evolutionary relationships between present-day species by revealing ancestral speciation and hybridization events. A convenient and well-studied class of such networks are…

Populations and Evolution · Quantitative Biology 2026-02-02 Qiang Zhang , Mike Steel

Quadratic programming (QP) is a common and important constrained optimization problem. Here, we derive a surprising duality between constrained optimization with inequality constraints -- of which QP is a special case -- and consumer…

Statistical Mechanics · Physics 2019-05-22 Pankaj Mehta , Wenping Cui , Ching-Hao Wang , Robert Marsland

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

In this paper, we address the problem of estimating transport surplus (a.k.a. matching affinity) in high dimensional optimal transport problems. Classical optimal transport theory specifies the matching affinity and determines the optimal…

Methodology · Statistics 2017-01-02 Arnaud Dupuy , Alfred Galichon , Yifei Sun

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

We present a non-equilibrium statistical mechanics description of rank abundance relations (RAR) in random community models of ecology. Specifically, we study a multi-species replicator system with quenched random interaction matrices. We…

Populations and Evolution · Quantitative Biology 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

Data Structures and Algorithms · Computer Science 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

We consider the problem of ranking $n$ experts according to their abilities, based on the correctness of their answers to $d$ questions. This is modeled by the so-called crowd-sourcing model, where the answer of expert $i$ on question $k$…

Statistics Theory · Mathematics 2025-12-25 Alexandra Carpentier , Nicolas Verzelen

We formulate and propose an algorithm (MultiRank) for the ranking of nodes and layers in large multiplex networks. MultiRank takes into account the full multiplex network structure of the data and exploits the dual nature of the network in…

Physics and Society · Physics 2018-03-06 Christoph Rahmede , Jacopo Iacovacci , Alex Arenas , Ginestra Bianconi

This study investigates the prevalence and implications of nestedness within primate social networks, examining its relationship with cognitive and structural factors. We analysed data from 51 primate groups across 21 species, employing…

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

The problem of ranking/ordering instances, instead of simply classifying them, has recently gained much attention in machine learning. In this paper we formulate the ranking problem in a rigorous statistical framework. The goal is to learn…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Gábor Lugosi , Nicolas Vayatis

We describe a seriation algorithm for ranking a set of items given pairwise comparisons between these items. Intuitively, the algorithm assigns similar rankings to items that compare similarly with all others. It does so by constructing a…

Machine Learning · Computer Science 2016-03-11 Fajwel Fogel , Alexandre d'Aspremont , Milan Vojnovic

This paper studies a stylized, yet natural, learning-to-rank problem and points out the critical incorrectness of a widely used nearest neighbor algorithm. We consider a model with $n$ agents (users) $\{x_i\}_{i \in [n]}$ and $m$…

Machine Learning · Computer Science 2018-07-11 Ao Liu , Qiong Wu , Zhenming Liu , Lirong Xia

We consider the classic problem of establishing a statistical ranking of a set of n items given a set of inconsistent and incomplete pairwise comparisons between such items. Instantiations of this problem occur in numerous applications in…

Machine Learning · Computer Science 2015-04-07 Mihai Cucuringu

We investigate the relationship between the nested organization of mutualistic systems and their robustness against the extinction of species. We establish that a nested pattern of contacts is the best possible one as far as robustness is…

Populations and Evolution · Quantitative Biology 2007-09-20 E. Burgos , H. Ceva , R. Perazzo , M. Devoto , D. Medan , M. Zimmermann , A. M. Delbue