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Spatial relations between objects in an image have proved useful for structural object recognition. Structural constraints can act as regularization in neural network training, improving generalization capability with small datasets.…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Mateus Riva , Pietro Gori , Florian Yger , Roberto Cesar , Isabelle Bloch

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

Comment on ``Gibbs Sampling, Exponential Families, and Orthogonal Polynomials'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Galin L. Jones , Alicia A. Johnson

We study a disc formula for the relative extremal function for Borel sets in complex manifolds.

Complex Variables · Mathematics 2007-05-23 Armen Edigarian , Ragnar Sigurdsson

In this survey we discuss some combinatorial aspects of higher cluster categories.

Representation Theory · Mathematics 2010-12-22 Aslak Bakke Buan

It is usual to rely on the quasi-likelihood methods for deriving statistical methods applied to clustered multinomial data with no underlying distribution. Even though extensive literature can be encountered for these kind of data sets,…

Methodology · Statistics 2015-10-21 Juana María Alonso , Nirian Martín , Leandro Pardo

In the first part of this note, we review results concerning analytic characterization of convexity for planar sets. The second part is devoted to results valid for arbitrary $m \ge 2$.

Analysis of PDEs · Mathematics 2024-06-18 Nikolay Kuznetsov

This paper extends our earlier results to higher dimensions using a different approach, based on the rigidity of complex structures on certain domains.

Differential Geometry · Mathematics 2011-04-22 X-X. Chen , S. K. Donaldson

In this paper we introduce a method of characteristic sets with respect to several term orderings for difference-differential polynomials. Using this technique, we obtain a method of computation of multivariate dimension polynomials of…

Commutative Algebra · Mathematics 2013-02-07 Alexander Levin

This document is an addendum to "One-point remapping of Lagrangian perturbation theory in the mildly non-linear regime of cosmic structure formation" (arXiv:1305.4642).

Cosmology and Nongalactic Astrophysics · Physics 2015-08-03 Florent Leclercq , Jens Jasche , Benjamin Wandelt

The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these pairings,…

Differential Geometry · Mathematics 2008-04-25 Michael G. Eastwood

We evaluate the correlation function of the spectral staircase and use it to evaluate the mesoscopic particle number fluctuations in integrable systems.

Mesoscale and Nanoscale Physics · Physics 2008-12-17 R. A. Serota

This note is the sequel of "Geometric structures as variational objects, I." It generalizes the main result and perspectives of that work to a class of geometric structures that includes integrable almost-complex structures.

Differential Geometry · Mathematics 2022-02-18 Gabriella Clemente

The purpose of this article is to discuss some aspects of the convergence analysis performed in the paper [Design of momentum fractional LMS for Hammerstein nonlinear system identification with application to electrically stimulated muscle…

Optimization and Control · Mathematics 2021-03-23 Abdul Wahab , Shujaat Khan , Farrukh Zeeshan Khan

Federated causal discovery aims to uncover the causal relationships between entities while protecting data privacy, which has significant importance and numerous applications in real-world scenarios. Existing federated causal structure…

Machine Learning · Computer Science 2025-07-10 Wei Chen , Wanyang Gu , Linjun Peng , Ruichu Cai , Zhifeng Hao , Kun Zhang

As for the remarkable study on the estimate of the Hausdorff dimension of a self-similar set due to weak contractions (Kitada A. et al. Chaos, Solitons & Fractals 13 (2002) 363-366), we present a mathematically simplified form which will be…

Mathematical Physics · Physics 2011-08-02 Yoshihito Ogasawara , Shin'ichi Oishi

We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence, in the case of linear equations we extract sharp bounds on…

Differential Geometry · Mathematics 2008-11-26 Thomas Branson , Andreas Cap , Michael Eastwood , Rod Gover

Rejoinder of ``Statistical analysis of an archeological find'' [arXiv:0804.0079]

Applications · Statistics 2008-12-18 Andrey Feuerverger

This paper is being revised to make it intelligible, and to incorporate some corrections.

High Energy Physics - Theory · Physics 2008-02-03 Vipul Periwal

We respond to comments on our paper, titled "Instrumental variable estimation of the causal hazard ratio."

Methodology · Statistics 2022-10-26 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt