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Related papers: Remarks on weakly pseudoconvex boundaries: Erratum

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This article proposes a biconvex modification to convex biclustering in order to improve its performance in high-dimensional settings. In contrast to heuristics that discard a subset of noisy features a priori, our method jointly learns and…

Machine Learning · Statistics 2026-04-13 Sam Rosen , Eric C. Chi , Jason Xu

In this note, we correct an oversight from the paper mentioned in the title.

Number Theory · Mathematics 2011-12-15 José María Grau , Florian Luca

A few typos in Mamajek, Meyer, & Liebert (2002, AJ, 124, 1670) have been corrected in this erratum (including two stellar misidentifications and an incorrect power in the units of a slope). The most significant is the correction of a sign…

Astrophysics · Physics 2008-11-26 E. E. Mamajek , M. R. Meyer , J. Liebert

This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.

Combinatorics · Mathematics 2010-02-02 Edward D. Kim , Francisco Santos

Kedem's Comment [arXiv:1402.1352] on our Letter [PRL 112, 040406 (2014)] contains only the criticism that we did not consider complex weak values. We point out follow-up work which uses the same analysis as in our Letter, includes any type…

Quantum Physics · Physics 2014-02-13 Christopher Ferrie , Joshua Combes

We present some contributions to the theory of infinitary rewriting for weakly orthogonal term rewrite systems, in which critical pairs may occur provided they are trivial. We show that the infinitary unique normal form property fails by an…

Logic in Computer Science · Computer Science 2015-07-01 Joerg Endrullis , Clemens Grabmayer , Dimitri Hendriks , Jan Willem Klop , Vincent van Oostrom

We provide a precise statement and self contained proof of a Sobolev inequality (cf. [A, page 236 and page 237]) stated in the original paper. Higher order and fractional inequalities are treated as well.

Functional Analysis · Mathematics 2018-06-22 Mario Milman

This paper introduces new subdifferential concepts together with their main properties and place with respect to other subdifferential notions.

Optimization and Control · Mathematics 2020-02-18 M. D. Voisei

We correct the second main theorem of the previous paper "A perturbation of the Dunkl harmonic oscillator on the line", by the first two authors. The corrections concern mainly certain estimates, which were also improved by adding more…

Spectral Theory · Mathematics 2017-06-28 Jesús A. Álvarez López , Manuel Calaza , Carlos Franco

For $\lambda$ inaccessible, we may consider $(< \lambda)$-support iteration of some specific $(<\lambda)$-complete $\lambda^+$-c.c. forcing notion. But this fails a "preservation by restricting to a sub-sequence of the forcing, we "correct"…

Logic · Mathematics 2022-09-07 Saharon Shelah

We obtain existence and convergence theorems on two variants of the proximal point algorithm for proper lower semicontinuous convex functions in complete geodesic spaces with curvature bounded above.

Functional Analysis · Mathematics 2018-05-01 Yasunori Kimura , Fumiaki Kohsaka

This is a brief technical note to clarify the state of lower bounds on regret for reinforcement learning. In particular, this paper: - Reproduces a lower bound on regret for reinforcement learning, similar to the result of Theorem 5 in the…

Machine Learning · Statistics 2016-08-10 Ian Osband , Benjamin Van Roy

In this supplementary appendix we provide proofs and additional extensive simulations that complement the analysis of the main paper (constrained perturbation regularization approach for signal estimation using random matrix theory).

Information Theory · Computer Science 2016-11-23 Mohamed Suliman , Tarig Ballal , Abla Kammoun , Tareq Y. Al-Naffouri

In our paper "Dendroidal sets as models for homotopy operads" (J. Topol. 4 (2011), no. 2, 257-299, and arXiv:0902.1954), we made the wrong claim about the behaviour of the tensor product with respect to cofibrations of dendroidal sets. We…

Algebraic Topology · Mathematics 2014-03-27 Denis-Charles Cisinski , Ieke Moerdijk

In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of…

Classical Analysis and ODEs · Mathematics 2010-05-06 M. Z. Sarikaya , E. Set , M. E. Ozdemir

Short survey about small eigenvalues of the Hodge Laplacian under bounded curvature collapsing.

Differential Geometry · Mathematics 2007-05-23 Pierre Jammes

We continue a discussion of published assertions that are incorrect, incorrectly proven, or trivial, in the theory of fixed points in digital topology.

Geometric Topology · Mathematics 2024-11-01 Laurence Boxer

We obtain a new bound on certain double sums of multiplicative characters improving the range of several previous results. This improvement comes from new bounds on the number of collinear triples in finite fields, which is a classical…

Number Theory · Mathematics 2018-03-26 Ilya D. Shkredov , Igor E. Shparlinski

In the previous version of this paper we prove a theorem on the boundary behavior of the conical plurisubharmonic measure. However, the proof turns out to be incomplete. In the present version we give a corrected proof of this theorem. We…

Complex Variables · Mathematics 2011-11-08 Viet-Anh Nguyen

This combines a reply to the Comment [hep-th/0203067 v1] by A. N. Vaidya and R. de L. Rodrigues with an erratum to our Letter [Phys. Rev. Lett. 87, 210405 (2001)]

High Energy Physics - Theory · Physics 2007-05-23 A. D. Alhaidari