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Clustering via LP-based Stabilities

Nikos Komodakis, Nikos Paragios, Georgios Tziritas
2008 Neural Information Processing Systems  
To deal with the most critical issue in a centerbased clustering algorithm (selection of cluster centers), we also introduce the notion of stability of a cluster center, which is a well defined LP-based  ...  A novel center-based clustering algorithm is proposed in this paper.  ...  Clustering via stabilities based on Linear Programming Given a set of objects V with distances d = {d pq }, clustering amounts to choosing a set of cluster centers from V (say {q i } k i=1 ) such that  ... 
dblp:conf/nips/KomodakisPT08 fatcat:pz6ikplwpzgy5eywjfp72i4u5u

Cancer Gene Profiling through Unsupervised Discovery [article]

Enzo Battistella, Maria Vakalopoulou, Roger Sun, Théo Estienne, Marvin Lerousseau, Sergey Nikolaev, Emilie Alvarez Andres, Alexandre Carré, Stéphane Niyoteka, Charlotte Robert, Nikos Paragios, Eric Deutsch
2021 arXiv   pre-print
Our method is based on the LP-Stability algorithm, a high dimensional center-based unsupervised clustering algorithm, that offers modularity as concerns metric functions and scalability, while being able  ...  to automatically determine the best number of clusters.  ...  PATHWAYS AND MOST SIGNIFICANT GENES PER CLUSTER FOR THE SAMPLE CLUSTERING PERFORMED USING OUR PROPOSED SIGNATURE OF 27 GENES VIA LP-STABILITY ALGORITHM AND KENDALL'S CORRELATION-BASED DISTANCE.  ... 
arXiv:2102.07713v1 fatcat:cmxesmaih5by7dpyj4xki4xwiq

Perturbation Resilient Clustering for k-Center and Related Problems via LP Relaxations

Chandra Chekuri, Shalmoli Gupta, Michael Wagner
2018 International Workshop on Approximation Algorithms for Combinatorial Optimization  
Using this model we show that the unified MST and dynamic programming based algorithm proposed in [4] exactly solves the clustering with outliers problem for several common center based objectives (like  ...  We belive that demonstrating the goodness of standard LP relaxations complements existing results [12, 4] that are based on new algorithms designed for the perturbation model.  ...  Center-based clustering under perturbation stability. Inf. Process.  ... 
doi:10.4230/lipics.approx-random.2018.9 dblp:conf/approx/ChekuriG18 fatcat:rhwtyzihb5dpndmiw5sjihhkfu

Collaborative Mechanism for Pickup and Delivery Problems with Heterogeneous Vehicles Under Time Windows

Wang, Yuan, Guan, Wang, Liu, Xu
2019 Sustainability  
Second, a composite algorithm consisting of improved k-means clustering, Demand-and-Time-based Dijkstra Algorithm (DTDA) and Improved Non-dominated Sorting Genetic Algorithm-II (INSGA-II) is devised to  ...  The clustering algorithm helps to identify the feasible initial solution to INSGA-II.  ...  The customers can be clustered based on the customer locations and time windows.  ... 
doi:10.3390/su11123492 fatcat:l2r5vw6ouzb23mwfj5vrpiuq5q

Assessing the Intrinsic Strengths of Ion–Solvent and Solvent–Solvent Interactions for Hydrated Mg2 Clusters+

Alexis Antoinette Ann Delgado, Daniel Sethio, Elfi Kraka
2021 Inorganics  
From the application of a secondary hydration shell to [Mg(H2O)n]2+ (n = 5–6) clusters, stronger Mg–O interactions were observed to correspond to larger instances of charge transfer between the lp(O) orbitals  ...  However, the intrinsic Mg–O and intermolecular hydrogen bond interactions of hydrated magnesium ion clusters have yet to be quantitatively measured.  ...  Furthermore, in comparison to cluster 10, the ∆E (2) based off the charge transfer between inner lp(O) and the lp * (Mg) orbital is slightly larger for cluster 11 (∆E (2) = 154.29 (10, 154.53 kcal/mol  ... 
doi:10.3390/inorganics9050031 doaj:fa84c7cb0e4146f3b8a5ad54d2b6c062 fatcat:6q6trbi7bbepzcd4ihj3m3lixe

Phylodynamic Study of the Conserved RNA Structure Encompassing the Hemagglutinin Cleavage Site Encoding Region of H5 and H7 Low Pathogenic Avian Influenza Viruses

Gabriel Dupré, Claire Hoede, Thomas Figueroa, Pierre Bessière, Stéphane Bertagnoli, Mariette Ducatez, Christine Gaspin, Romain Volmer
2021 Virus Evolution  
However, RNA structure clustering analysis revealed that most of the American lineage ancestors leading to H7 emergences via recombination shared the same vRNA structure topology at the HA1/HA2 boundary  ...  Analysis of the thermodynamic stability of the predicted RNA structures showed no specific patterns common to HA sequences leading to HPAIV and distinct from those remaining LPAIV.  ...  Box-plots of cSL structure stability (MFE dG0, kcal/mol) based on every HA subtype.  ... 
doi:10.1093/ve/veab093 pmid:35299790 pmcid:PMC8923263 fatcat:ig2u37l7qva6fcs5ijtgbsz4xq

Reinterpreting the Cu–Pd phase diagram based on new ground-state predictions

S Bärthlein, G L W Hart, A Zunger, S Müller
2007 Journal of Physics: Condensed Matter  
Our notions of the phase stability of compounds rest to a large extent on the experimentally assessed phase diagrams.  ...  Long ago, it was assumed that in the Cu-Pd system for x Pd 25% there are at least two phases at high temperature (L1 2 and a L1 2 -based superstructure), which evolve into a single L1 2 -ordered phase  ...  a generic term for a whole class of longperiod superstructures (LPS) based on an L1 2 motif.  ... 
doi:10.1088/0953-8984/19/3/032201 fatcat:zcsubyvwpvflvigdhkl2ewrwfy

Solution stability in linear programming relaxations

Sebastian Nowozin, Stefanie Jegelka
2009 Proceedings of the 26th Annual International Conference on Machine Learning - ICML '09  
We prove that when a relaxation is used to solve the original clustering problem, then the solution stability calculated by our method is conservative, that is, it never overestimates the solution stability  ...  As practical example we apply the method to correlation clustering, clustering aggregation, modularity clustering, and relative performance significance clustering.  ...  Tightness and comparison to a heuristic In the Introduction, we show how to solve modularity clustering via GPP.  ... 
doi:10.1145/1553374.1553473 dblp:conf/icml/NowozinJ09 fatcat:s7muasq7ovgzjirzk5rq5gfbmy

Controlled Self-Assembly of Periodic and Aperiodic Cluster Crystals

Kobi Barkan, Michael Engel, Ron Lifshitz
2014 Physical Review Letters  
Our results confirm analytical predictions based on a mean-field approximation, providing insight into the stabilization of quasicrystals in soft macromolecular systems, and suggesting a practical approach  ...  Soft particles are known to overlap and form stable clusters that self-assemble into periodic crystalline phases with density-independent lattice constants.  ...  Patterns with 8-fold symmetry are unstable within the LP model, but there is a narrow window of stability for 10-fold patterns with a ratio of k 5 = (1 + √ 5)/2, although not with [25] .  ... 
doi:10.1103/physrevlett.113.098304 pmid:25216013 fatcat:6uy57yjl3bavnc7ehl6lupd3u4

CLiAl2E and CLi2AlE (E = P, As, Sb, Bi): Planar Tetracoordinate Carbon Clusters with 16 and 14 Valence Electrons

Xiao-Feng Wu, Ya-Xuan Cheng, Jin-Chang Guo
2019 ACS Omega  
Especially, the C=E double bonds are crucial for the stabilities of these ptC clusters. The ptC core is governed by 2π + 6σ bonding, which conforms to the 8-electron counting.  ...  on ptC global minima CAl3E (E = P, As, Sb, Bi) clusters.  ...  Thus, there is little effect on the stability to remove the LPs of metal ligands for these ptC clusters.  ... 
doi:10.1021/acsomega.9b02869 pmid:31867525 pmcid:PMC6921633 fatcat:qixscqeajvbejggv4nrdszu6qa

Bacterial lipopolysaccharide reduces the stability of avian and human influenza viruses [article]

Christopher Bandoro, Jonathan Runstadler
2017 bioRxiv   pre-print
Moreover, bacterial lipopolysaccharide (LPS), found on the exterior surfaces of bacteria, was sufficient to significantly decrease the stability of both human and avian viral strains at the physiological  ...  Subtype and host-origin of the viruses were shown to affect the extent to which IAV was susceptible to LPS.  ...  virions in each length:width ratio bin or cluster were calculated and normalized based on the total number of virions in each micrograph. Statistical analyses.  ... 
doi:10.1101/146266 fatcat:up3rjwaj25f57gslf5jklku4a4

A new insight of structures, bonding and electronic properties for 6-mercaptopurine and Ag8 clusters configurations: a theoretical perspective

Hongjiang Ren, Fan Chen, Xiaojun Li, Yaping He
2019 BMC Chemistry  
The geometrical structures, chemical bonds, molecular orbital properties as well as density of states for partial configurations were analyzed based on the density functional calculations.  ...  Moreover, the results show that the temperature and the pressure will significantly influence the stability of the configurations in the gas phase.  ...  [S(10)] → LP*[Ag(11)] 101.25 C2 CR[S(10)] → LP*[Ag(11)] 25.98 LP[S(10)] → LP*[Ag(11)] 92.76 LP[Ag(1)] → BD*[S(10)-Ag(11)] 13.14 C3 LP[N(9)] → LP*[Ag(11)] 57.66 C8 LP[S(10)] → LP*[Ag(11  ... 
doi:10.1186/s13065-019-0573-z pmid:31384803 pmcid:PMC6661816 fatcat:cryj6catd5b4piocfflkdskvau

(Lr,Ls) Resolvent estimate for the sphere off the line 1 r −1 s = 2 n

Tianyi Ren
2019 Bulletin of Mathematical Sciences  
The geometrical structures, chemical bonds, molecular orbital properties as well as density of states for partial configurations were analyzed based on the density functional calculations.  ...  Moreover, the results show that the temperature and the pressure will significantly influence the stability of the configurations in the gas phase.  ...  [S(10)] → LP*[Ag(11)] 101.25 C2 CR[S(10)] → LP*[Ag(11)] 25.98 LP[S(10)] → LP*[Ag(11)] 92.76 LP[Ag(1)] → BD*[S(10)-Ag(11)] 13.14 C3 LP[N(9)] → LP*[Ag(11)] 57.66 C8 LP[S(10)] → LP*[Ag(11  ... 
doi:10.1142/s1664360719500036 fatcat:fefp4gbzvvc4zkylxhcunahlmi

Stability and instability of long-period superstructures in binary Cu–Pd alloys: A first principles study

Stefan Bärthlein, Elke Winning, Gus L.W. Hart, Stefan Müller
2009 Acta Materialia  
However, whereas the stability of the ordinary one-dimensional long-period superstructures (1-D LPS) has been previously investigated by first-principles total-energy methods, two-dimensional superstructures  ...  Using a cluster expansion extracted from a set of first-principles total energy calculations, we show that 2-D LPSs are likely kineticallystabilized structures which transform into the 1-D LPS ground-state  ...  For one-dimensional long-period superstructures (1-D LPSs) in CuPd, effective interactions have been obtained (i) via the axial next-nearest neighbor Ising model (ANN-NI) [21] , based on local density  ... 
doi:10.1016/j.actamat.2008.12.013 fatcat:4vzdsatzh5f5bjkodd7z77rxrm

Label Propagation-based Parallel Graph Partitioning for Large-Scale Graph Data

Minho Bae, Minjoong Jeong, Sangyoon Oh
2020 IEEE Access  
Our proposed algorithm introduces a stabilization phase in which remote and highly connected vertices are relocated to prevent the algorithm from becoming trapped in local optima.  ...  We apply formulas based on the label propagation algorithm to improve the quality of edge cuts and achieve fast convergence.  ...  Finally, as in the QCLP process, the updated values are shared via network communication (lines 8 and 9 ). 3) EDGE-BALANCED PARTITIONING PROCESS During QCLP and the stabilization process, we focus on  ... 
doi:10.1109/access.2020.2987355 fatcat:x34g2j34x5barmcqr4z6ni7yvq
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