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Schuhmacher, Dominic
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Schuhmacher, Dominic
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Schuhmacher, Dominic
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Schuhmacher, D.
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2014Journal Article [["dc.bibliographiccitation.firstpage","1911"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","The Annals of Probability"],["dc.bibliographiccitation.lastpage","1951"],["dc.bibliographiccitation.volume","42"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.contributor.author","Stucki, Kaspar"],["dc.date.accessioned","2018-11-07T09:35:49Z"],["dc.date.available","2018-11-07T09:35:49Z"],["dc.date.issued","2014"],["dc.description.abstract","We obtain upper bounds for the total variation distance between the distributions of two Gibbs point processes in a very general setting. Applications are provided to various well-known processes and settings from spatial statistics and statistical physics, including the comparison of two Lennard-Jones processes, hard core approximation of an area interaction process and the approximation of lattice processes by a continuous Gibbs process. Our proof of the main results is based on Stein's method. We construct an explicit coupling between two spatial birth-death processes to obtain Stein factors, and employ the Georgii-Nguyen-Zessin equation for the total bound."],["dc.description.sponsorship","Swiss National Science Foundation [200021-137527]"],["dc.identifier.arxiv","1207.3096"],["dc.identifier.doi","10.1214/13-AOP895"],["dc.identifier.gro","3145887"],["dc.identifier.isi","000342399200004"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/32473"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Institute of Mathematical Statistics"],["dc.relation.issn","0091-1798"],["dc.subject","Conditional intensity pairwise interaction process birth– death process Stein’s method total variation distance"],["dc.title","Gibbs point process approximation: Total variation bounds using Stein’s method"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]Details DOI WOS2005Journal Article [["dc.bibliographiccitation.firstpage","615"],["dc.bibliographiccitation.issue","1B"],["dc.bibliographiccitation.journal","The Annals of Applied Probability"],["dc.bibliographiccitation.lastpage","651"],["dc.bibliographiccitation.volume","15"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.date.accessioned","2017-09-07T11:50:38Z"],["dc.date.available","2017-09-07T11:50:38Z"],["dc.date.issued","2005"],["dc.description.abstract","We consider the behavior of spatial point processes when subjected to a class of linear transformations indexed by a variable T. It was shown in Ellis [Adv. in Appl. Probab. 18 (1986) 646–659] that, under mild assumptions, the transformed processes behave approximately like Poisson processes for large T. In this article, under very similar assumptions, explicit upper bounds are given for the d2-distance between the corresponding point process distributions. A number of related results, and applications to kernel density estimation and long range dependence testing are also presented. The main results are proved by applying a generalized Stein–Chen method to discretized versions of the point processes."],["dc.identifier.doi","10.1214/105051604000000684"],["dc.identifier.gro","3145899"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3633"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","1050-5164"],["dc.subject","Point processes Poisson process approximation Stein’s method density estimation total variation distance: dt₂-distance"],["dc.title","Upper bounds for spatial point process approximations"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]Details DOI2016Journal Article [["dc.bibliographiccitation.firstpage","56"],["dc.bibliographiccitation.journal","Journal of Statistical Planning and Inference"],["dc.bibliographiccitation.lastpage","70"],["dc.bibliographiccitation.volume","169"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.contributor.author","Sturm, Anja"],["dc.contributor.author","Zaehle, Henryk"],["dc.date.accessioned","2018-11-07T10:19:05Z"],["dc.date.available","2018-11-07T10:19:05Z"],["dc.date.issued","2016"],["dc.description.abstract","We characterize the sets of offspring laws on which the Lotka-Nagaev estimator for the mean of a supercritical Galton-Watson process is qualitatively robust. These are exactly the locally uniformly integrating sets of offspring laws, which may be quite large. If the corresponding global property is assumed instead, we obtain uniform robustness as well. We illustrate both results with a number of concrete examples. As a by-product of the proof we obtain that the Lotka-Nagaev estimator is [locally] uniformly weakly consistent on the respective sets of offspring laws, conditionally on non-extinction. (C) 2015 Elsevier B.V. All rights reserved."],["dc.identifier.arxiv","1409.4274"],["dc.identifier.doi","10.1016/j.jspi.2015.08.003"],["dc.identifier.gro","3145864"],["dc.identifier.isi","000363827800006"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/41592"],["dc.notes.intern","mathe"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Science Bv"],["dc.relation.issn","1873-1171"],["dc.relation.issn","0378-3758"],["dc.title","On qualitative robustness of the Lotka-Nagaev estimator for the offspring mean of a supercritical Galton-Watson process"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]Details DOI WOS2020Journal Article [["dc.bibliographiccitation.firstpage","133"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Mathematical Methods of Operations Research"],["dc.bibliographiccitation.lastpage","163"],["dc.bibliographiccitation.volume","92"],["dc.contributor.author","Hartmann, Valentin"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.date.accessioned","2020-12-10T14:09:52Z"],["dc.date.available","2020-12-10T14:09:52Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1007/s00186-020-00703-z"],["dc.identifier.eissn","1432-5217"],["dc.identifier.issn","1432-2994"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/70581"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]Details DOI2002Journal Article [["dc.bibliographiccitation.firstpage","653"],["dc.bibliographiccitation.issue","7-8"],["dc.bibliographiccitation.journal","Applied Physics B"],["dc.bibliographiccitation.lastpage","659"],["dc.bibliographiccitation.volume","74"],["dc.contributor.author","Dolgova, T. V."],["dc.contributor.author","Schuhmacher, D."],["dc.contributor.author","Marowsky, Gerd"],["dc.contributor.author","Fedyanin, A. A."],["dc.contributor.author","Aktsipetrov, O. A."],["dc.date.accessioned","2018-11-07T10:29:59Z"],["dc.date.available","2018-11-07T10:29:59Z"],["dc.date.issued","2002"],["dc.description.abstract","The technique of combined optical second-harmonic (SH) intensity and phase spectroscopy, which is the spectroscopic modification of SH phase measurements, is proposed to study the nonlinear optical response of semiconductor interfaces with spectrally close resonant contributions. The spectral dependences of SH intensity and phase from oxidised Si (111) and Ge (111) surfaces are studied in the range of 3.5- to 5-eV SH photon energy. The resonant behaviour of combined SH spectra is associated with a superposition of contributions from direct interband transitions at several critical points of Si and Ge band structures."],["dc.identifier.doi","10.1007/s00340-002-0917-5"],["dc.identifier.isi","000176764700008"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/43766"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Springer"],["dc.relation.issn","0946-2171"],["dc.title","Second-harmonic interferometric spectroscopy of buried interfaces of column IV semiconductors"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]Details DOI WOS2014Book Chapter [["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.lastpage","30"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.contributor.editor","Schmidt, Volker"],["dc.date.accessioned","2017-09-07T11:50:30Z"],["dc.date.available","2017-09-07T11:50:30Z"],["dc.date.issued","2014"],["dc.identifier.gro","3145884"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3617"],["dc.language.iso","de"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Springer"],["dc.publisher.place","Berlin"],["dc.relation.ispartof","Stochastic Geometry, Spatial Statistics and Random Fields Vol II: Models and Algorithms"],["dc.title","Stein’s method for approximating complex distributions, with a view towards point processes"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]Details2001Conference Paper [["dc.bibliographiccitation.firstpage","51"],["dc.bibliographiccitation.issue","1-3"],["dc.bibliographiccitation.journal","Materials Science in Semiconductor Processing"],["dc.bibliographiccitation.lastpage","53"],["dc.bibliographiccitation.volume","4"],["dc.contributor.author","Schuhmacher, D."],["dc.contributor.author","Marowsky, Gerd"],["dc.contributor.author","Fedyanin, A. A."],["dc.contributor.author","Dolgova, T. V."],["dc.contributor.author","Aktsipetrov, O. A."],["dc.date.accessioned","2018-11-07T09:25:18Z"],["dc.date.available","2018-11-07T09:25:18Z"],["dc.date.issued","2001"],["dc.description.abstract","The intrinsic surface sensitive technique of optical second harmonic (SH) phase and intensity measurements is used to probe a slightly miscut natively oxidized Si(1 1 1) surface. The experiments have been performed in a spectral interval covering the E-2 resonance of silicon band structure. The phase and intensity of the SH wave measured at several azimuthal angular positions allow to separate the vicinal contributions. (C) 2001 Elsevier Science Ltd. All rights reserved."],["dc.identifier.doi","10.1016/S1369-8001(00)00112-8"],["dc.identifier.isi","000167727200013"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/30032"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Sci Ltd"],["dc.publisher.place","Oxford"],["dc.relation.conference","Spring Meeting of the European-Materials-Research-Society"],["dc.relation.eventlocation","STRASBOURG, FRANCE"],["dc.relation.issn","1369-8001"],["dc.title","Probe of the vicinal Si (111) surface by second harmonic phase spectroscopy"],["dc.type","conference_paper"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]Details DOI WOS2014Journal Article [["dc.bibliographiccitation.firstpage","1405"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Electronic Journal of Statistics"],["dc.bibliographiccitation.lastpage","1437"],["dc.bibliographiccitation.volume","8"],["dc.contributor.author","Dümbgen, Lutz"],["dc.contributor.author","Rufibach, Kaspar"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.date.accessioned","2017-09-07T11:50:30Z"],["dc.date.available","2017-09-07T11:50:30Z"],["dc.date.issued","2014"],["dc.description.abstract","We consider nonparametric maximum-likelihood estimation of a log-concave density in case of interval-censored, right-censored and binned data. We allow for the possibility of a subprobability density with an additional mass at +∞, which is estimated simultaneously. The existence of the estimator is proved under mild conditions and various theoretical aspects are given, such as certain shape and consistency properties. An EM algorithm is proposed for the approximate computation of the estimator and its performance is illustrated in two examples."],["dc.identifier.doi","10.1214/14-ejs930"],["dc.identifier.gro","3145885"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3618"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Institute of Mathematical Statistics"],["dc.relation.issn","1935-7524"],["dc.subject","Active set algorithm binning cure parameter expectation-maximization algorithm interval-censoring qualitative constraints right-censoring"],["dc.title","Maximum-likelihood estimation of a log-concave density based on censored data"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]Details DOI2016Book Chapter [["dc.bibliographiccitation.firstpage","315"],["dc.bibliographiccitation.lastpage","330"],["dc.bibliographiccitation.volume","163"],["dc.contributor.author","Ginsbourger, David"],["dc.contributor.author","Roustant, Olivier"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.contributor.author","Durrande, Nicolas"],["dc.contributor.author","Lenz, Nicolas"],["dc.contributor.editor","Cools, Ronald"],["dc.contributor.editor","Nuyens, Dirk"],["dc.date.accessioned","2017-09-07T11:50:29Z"],["dc.date.available","2017-09-07T11:50:29Z"],["dc.date.issued","2016"],["dc.identifier.arxiv","1409.6008"],["dc.identifier.gro","3145882"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3615"],["dc.notes.intern","mathe"],["dc.notes.intern","Not valid abstract: The FANOVA (or \\\\.Sobol'-Hoeffding\\\\.) decomposition of multivariate functions has been used for high-dimensional model representation and global sensitivity analysis. When the objective function f has no simple analytic form and is costly to evaluate, a practical limitation is that computing FANOVA terms may be unaffordable due to numerical integration costs. Several approximate approaches relying on random field models have been proposed to alleviate these costs, where f is substituted by a (kriging) predictor or by conditional simulations. In the present work, we focus on FANOVA decompositions of Gaussian random field sample paths, and we notably introduce an associated kernel decomposition (into 2^{2d} terms) called KANOVA. An interpretation in terms of tensor product projections is obtained, and it is shown that projected kernels control both the sparsity of Gaussian random field sample paths and the dependence structure between FANOVA effects. Applications on simulated data show the relevance of the approach for designing new classes of covariance kernels dedicated to high-dimensional kriging."],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","MCQMC"],["dc.publisher.place","Leuven, Belgium"],["dc.relation.crisseries","Springer Proceedings in Mathematics and Statistics"],["dc.relation.ispartof","Monte Carlo and Quasi-Monte Carlo Methods"],["dc.relation.ispartofseries","Springer Proceedings in Mathematics and Statistics"],["dc.title","On ANOVA decompositions of kernels and Gaussian random field paths"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]Details2021Journal Article [["dc.bibliographiccitation.artnumber","rssc.12520"],["dc.bibliographiccitation.journal","Journal of the Royal Statistical Society: Series C (Applied Statistics)"],["dc.contributor.author","Wieditz, Johannes"],["dc.contributor.author","Pokern, Yvo"],["dc.contributor.author","Schuhmacher, Dominic"],["dc.contributor.author","Huckemann, Stephan"],["dc.date.accessioned","2021-10-01T09:58:04Z"],["dc.date.available","2021-10-01T09:58:04Z"],["dc.date.issued","2021"],["dc.identifier.doi","10.1111/rssc.12520"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/89980"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-469"],["dc.relation.eissn","1467-9876"],["dc.relation.issn","0035-9254"],["dc.title","Characteristic and necessary minutiae in fingerprints"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]Details DOI
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