Results 31 to 40 of about 665 (180)
Let A and B be unital Banach algebras and M be a left A-module and right B-module. We consider generalized derivations associate with Hochschild 2-cocycles on triangular Banach algebra T (related to A, B and M).
M. Kanani Arpatapeh∗, A. Jabbari
doaj
Modules with the Direct Summand Sum Property [PDF]
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ABSTRACT We consider the problem of sequential (online) estimation of a single change point in a piecewise linear regression model under a Gaussian setup. We demonstrate that certain CUSUM‐type statistics attain the minimax optimal rates for localizing the change point.
Annika Hüselitz, Housen Li, Axel Munk
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The Direct Summand Conjecture in Dimension Three [PDF]
14 pages, no ...
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The Natural Components of a Regular Linear System
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
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A Contextual Accuracy Dominance Argument for Probabilism
ABSTRACT A central motivation for Probabilism—the principle of rationality that requires one to have credences that satisfy the axioms of probability—is the accuracy dominance argument: one should not have accuracy dominated credences, and one avoids accuracy dominance just in case one satisfies Probabilism.
Mikayla Kelley
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Spatial depth for data in metric spaces
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
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Dimension reduction for optimal design problems with Kronecker product structure
Abstract This paper is motivated by the problem of optimal allocation of trials in multi‐environment crop variety testing with a large number of varieties. Optimizing the allocation of trials results in the minimization of a design criterion with a Kronecker product structure in the information matrix.
Taras Bodnar, Maryna Prus
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Direct summands of class groups
AbstractLet G be a finite abelian group, and F a global field of characteristic prime to the order of G. Then there exists a finite extension of F whose class group has a direct summand isomorphic to G.
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