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An Equitable Solution to the Stable Marriage Problem

Ioannis Giannakopoulos, Panagiotis Karras, Dimitrios Tsoumakos, Katerina Doka, Nectarios Koziris
2015 2015 IEEE 27th International Conference on Tools with Artificial Intelligence (ICTAI)  
Gusfield and Irving introduced the equitable stable marriage problem (ESMP), which calls for finding a stable matching that minimizes the distance between men's and women's sum-of-rankings of their spouses  ...  The problem was formulated in 1962 by Gale and Shapley, who showed that any instance can be solved in polynomial time, and has attracted interest due to its application to any two-sided market.  ...  We eschew an exhaustive search over stable matchings, and instead build on the Gale-Shapley algorithm in a manner that treats both sides equitably and still achieves stable solutions.  ... 
doi:10.1109/ictai.2015.142 dblp:conf/ictai/GiannakopoulosK15 fatcat:bl5wettzbzcthhixpkw463ocwm

Fair, Fast and Frugal Large-Scale Matchmaking for VM Placement [chapter]

Nikolaos Korasidis, Ioannis Giannakopoulos, Katerina Doka, Dimitrios Tsoumakos, Nectarios Koziris
2017 Lecture Notes in Computer Science  
To that end, VM placement is expressed as an Equitable Stable Matching Problem (ESMP), where each party's policy is translated to a preference list.  ...  A practical approximation for this NP-hard problem, modified accordingly to ensure efficiency and scalability, is applied to provide equitable matchings within a reasonable time frame.  ...  In the equitable methodology we propose, an approximation algorithm was utilized in order to find a stable and fair matching between the VMs and the available VM slots, so as to honor the policies dictated  ... 
doi:10.1007/978-3-319-57045-7_8 fatcat:hdiydwpfbzawnez7o53j6hunme

Fair Procedures for Fair Stable Marriage Outcomes

Nikolaos Tziavelis, Ioannis Giannakopoulos, Rune Quist Johansen, Katerina Doka, Nectarios Koziris, Panagiotis Karras
procedurally fair algorithms that output equitable stable marriages and are guaranteed to terminate in at most cubic time; the key to this breakthrough is the monitoring of a monotonic state function  ...  Recent studies show that the number of stable solutions can be large in practice.  ...  We aim to develop fair procedures that reach an equitable stable marriage in cubic time.  ... 
doi:10.1609/aaai.v34i05.6218 fatcat:ybgvedbhk5dsfmw422njejnihy

The Dichotomous Affiliate Stable Matching Problem: Approval-Based Matching with Applicant-Employer Relations [article]

Marina Knittel, Samuel Dooley, John P. Dickerson
2022 arXiv   pre-print
While the stable marriage problem and its variants model a vast range of matching markets, they fail to capture complex agent relationships, such as the affiliation of applicants and employers in an interview  ...  To address this, we introduce the Dichotomous Affiliate Stable Matching (DASM) Problem, where agents' preferences indicate dichotomous acceptance or rejection of another agent in the marketplace, both  ...  Approximately stable matchings with general giotis Karras. Equitable stable matchings in quadratic time. In NeurIPS, 2019. constraints. In AAMAS, 2020.  ... 
arXiv:2202.11095v1 fatcat:uzviblpdj5c2ffcrzehe7khdgu

An algebraic model for fast corner detection

A Willis, Yunfeng Sui
2009 2009 IEEE 12th International Conference on Computer Vision  
The key benefits to this approach are: (1) performance (in space and time); since no image pyramid (space) and no edge-linking (time) is required and (2) compactness; the estimated model includes the corner  ...  must lie close to one of the two intersecting lines, an important aspect to stable corner detection.  ...  We propose a modified version of the repeatability rate for which our detector performs well, especially for structural scenes, where relatively stable and accurate matches have been observed.  ... 
doi:10.1109/iccv.2009.5459443 dblp:conf/iccv/WillisS09 fatcat:666ws4uojfhwxoo67k2hoqgouy

safe-control-gym: a Unified Benchmark Suite for Safe Learning-based Control and Reinforcement Learning [article]

Zhaocong Yuan, Adam W. Hall, Siqi Zhou, Lukas Brunke, Melissa Greeff, Jacopo Panerati, Angela P. Schoellig
2022 arXiv   pre-print
However, to adequately gauge the progress and applicability of new results, we need the tools to equitably compare the approaches proposed by the controls and reinforcement learning communities.  ...  In recent years, both reinforcement learning and learning-based control -- as well as the study of their safety, which is crucial for deployment in real-world robots -- have gained significant traction  ...  Control barrier functions (CBF) are safety filters for continuous-time nonlinear control-affine systems using quadratic programming (QP) with a constraint on the CBF's time derivative with respect to the  ... 
arXiv:2109.06325v3 fatcat:q7dpbgtog5aqlgocuom2kdbwvq

Colouring random graphs

Colin McDiarmid
1984 Annals of Operations Research  
This amounts to a quadratic expected running time.  ...  In linear time, we can distinguish between two cases. The first is that there is a K 4 subgraph, in which case we apply the quadratic-time 4-colouring algorithm for planar graphs.  ...  Given non-negative integers a and b, we say that an (a, b)-colouring of a graph G is a partition of the vertex-set into a cliques and b stable sets.  ... 
doi:10.1007/bf01874388 fatcat:efi7gbmiunfyxalbs4wggou73i

On Achieving Fairness and Stability in Many-to-One Matchings [article]

Shivika Narang, Arpita Biswas, Y Narahari
2021 arXiv   pre-print
The running time of FaSt-Gen is quadratic in the number of edges.  ...  The running time of FaSt is linear in the number of edges.  ...  This ensures that all the (complete) matchings are stable, as no student has an incentive to switch. The  ... 
arXiv:2009.05823v3 fatcat:6zfxgnciizb6xlynxkoo5kka7q

On Finding Stable and Efficient Solutions for the Team Formation Problem [article]

Hoda Atef Yekta, David Bergman, Robert Day
2018 arXiv   pre-print
This is due in part to the underlying computational complexity that occurs when quadratic (i.e., intra-team interpersonal) interactions are taken into consideration, and also due to game-theoretic considerations  ...  data clustering, and in assigning students to group projects.  ...  Partially-stable outcomes in unsolvable roommate problems (problems without stable matchings) have been defined; for example, an almost stable matching consists of a Pareto-optimal matching with a minimum  ... 
arXiv:1804.00309v1 fatcat:adqat3xa3zctdldmcqfib3imsm

Some aspects of the Markovian SIRS epidemics on networks and its mean-field approximation [article]

Stefania Ottaviano, Stefano Bonaccorsi
2019 arXiv   pre-print
At this point, we dwell on the stability properties of the system by relying on the graph-theoretical notion of equitable partition.  ...  Finally, in the special case of regular graphs, we show that when the recovery rate is higher than the vaccination rate, the aforementioned invariant set is contained in the domain of attraction of the  ...  In b) for the chosen parameters values, i.e. β = 1, δ = 0.45, γ = 0.2, σ = 0.4, there is a quite perfect match.  ... 
arXiv:1912.11287v1 fatcat:jt4diyh7dbaunkijcdmkbp7eje

Anchored k-medoids: a novel adaptation of k-medoids further refined to measure long-term instability in the exposure to crime

Monsuru Adepeju, Samuel Langton, Jon Bannister
2021 Journal of Computational Social Science  
We find that both methods highlight instability in the exposure to crime over time, but the consistency and contribution of cluster solutions determined by ak-medoids provide insight overlooked by k-medoids  ...  This has important implications for the theories said to explain longitudinal crime concentrations, and the law enforcement agencies seeking to offer an effective and equitable service to the public.  ...  The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.  ... 
doi:10.1007/s42001-021-00103-1 fatcat:nkigaqflcfclvhs6exnoqeqmzu

Learning approach to the detection of gravitational wave transients

E. Chassande-Mottin
2003 Physical Review D, Particles and fields  
We investigate the class of quadratic detectors (i.e., the statistic is a bilinear function of the data) for the detection of poorly modeled gravitational transients of short duration.  ...  RELATION TO OTHER DETECTION TECHNIQUES We have shown in Sec. IV C that the quadratic detector with optimal deflection can be related to matched filtering.  ...  ., in a time window of 2 ms͒ which is the best time window duration found in ͓7͔ for supernova transients.  ... 
doi:10.1103/physrevd.67.102001 fatcat:oqprmaxibvfb5l4b4yjyxddvwm

Alternative subcell discretisations for viscoelastic flow: Stress interpolation

F. Belblidia, H. Matallah, B. Puangkird, M.F. Webster
2007 Journal of Non-Newtonian Fluid Mechanics  
Findings reveal that the subcell linear approximation for stress within the constitutive equation (either fe or fv) yields a more stable scheme, than that for its quadratic counterpart (quad-fe), whilst  ...  Furthermore, improvements in solution representation are gathered through enhanced upwinding forms, which may be coupled to stability gains with strain-rate stabilisation.  ...  Less time is required in velocity development under the fe(sc) approximation to reach an equitable level of tolerance, followed by that of the fe/fv(sc) variant.  ... 
doi:10.1016/j.jnnfm.2006.12.009 fatcat:vssvbl5yuvbw5dzhexm3fy3wrm

Dynamic Models of International Environmental Agreements: A Differential Game Approach

Emilio Calvo
2013 International Review of Environmental and Resource Economics  
An evaluation of the state of the art is presented in the conclusions along with suggestions for future research.  ...  In the case of the latter, the survey distinguishes between the models that assume binding agreements and those that assume the contrary.  ...  The analysis presented by Germain et al. (2003) which proposes a transfer scheme that induces imputations which belong to the core in each period of time has no match in the literature based on a noncooperative  ... 
doi:10.1561/101.00000053 fatcat:q2tdddj5bzb6tgz7oa72wno6qy

Introduced Predators Transform Subarctic Islands from Grassland to Tundra

D. A. Croll
2005 Science  
These determinations were based on contrasts among 18 islands (9 with foxes and 9 fox free) ( Fig. 1 ) that were matched as carefully as possible for size and location in the archipelago (12) .  ...  Each small point represents a census of plant species occurrence within a 1-m 2 quadrat.  ... 
doi:10.1126/science.1108485 pmid:15790855 fatcat:wywcyejgibclrmtaspjugd4zzu
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