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Some sharp inequalities of Gruss type for sequences of vectors in real or complex normed linear spaces are obtained. Applications for the discrete Fourier and Mellin transform are given. Estimates for polynomials with coefficients in normed…

Classical Analysis and ODEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

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

The Severi degree is the degree of the Severi variety parametrizing plane curves of degree d with delta nodes. Recently, G\"ottsche and Shende gave two refinements of Severi degrees, polynomials in a variable y, which are conjecturally…

Algebraic Geometry · Mathematics 2019-02-20 Florian Block , Lothar Göttsche

Images of scenes have various objects as well as abundant attributes, and diverse levels of visual categorization are possible. A natural image could be assigned with fine-grained labels that describe major components, coarse-grained labels…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Hexiang Hu , Guang-Tong Zhou , Zhiwei Deng , Zicheng Liao , Greg Mori

A recent research trend involves treating database index structures as Machine Learning (ML) models. In this domain, single or multiple ML models are trained to learn the mapping from keys to positions inside a data set. This class of…

Databases · Computer Science 2024-03-12 Abdullah Al-Mamun , Hao Wu , Qiyang He , Jianguo Wang , Walid G. Aref

While 3D reconstruction is a well-established and widely explored research topic, semantic 3D reconstruction has only recently witnessed an increasing share of attention from the Computer Vision community. Semantic annotations allow in fact…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Andrea Romanoni , Marco Ciccone , Francesco Visin , Matteo Matteucci

The goal of multi-label learning (MLL) is to associate a given instance with its relevant labels from a set of concepts. Previous works of MLL mainly focused on the setting where the concept set is assumed to be fixed, while many real-world…

Machine Learning · Computer Science 2021-10-01 Cheng-Yu Hsieh , Wei-I Lin , Miao Xu , Gang Niu , Hsuan-Tien Lin , Masashi Sugiyama

One of the main applications of semidefinite programming lies in linear systems and control theory. Many problems in this subject, certainly the textbook classics, have matrices as variables, and the formulas naturally contain…

Operator Algebras · Mathematics 2011-12-30 J. William Helton , Igor Klep , Scott McCullough

Compared with single-label image classification, multi-label image classification is more practical and challenging. Some recent studies attempted to leverage the semantic information of categories for improving multi-label image…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Fengtao Zhou , Sheng Huang , Yun Xing

We introduce a refined version of the 3D index for 3-manifolds, building on the construction of the 3D $\mathcal{N}=2$ gauge theory $T[M]$ by Dimofte-Gaiotto-Gukov and Gang-Yonekura. The refined index is a superconformal index of $T[M]$…

High Energy Physics - Theory · Physics 2026-04-21 Dongmin Gang , Kibok Jeong , Taeyoon Kim , Soochang Lee

The purpose of partial multi-label feature selection is to select the most representative feature subset, where the data comes from partial multi-label datasets that have label ambiguity issues. For label disambiguation, previous methods…

Machine Learning · Computer Science 2025-03-14 Hanlin Pan , Kunpeng Liu , Wanfu Gao

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

In general, the labels used in sequence labeling consist of different types of elements. For example, IOB-format entity labels, such as B-Person and I-Person, can be decomposed into span (B and I) and type information (Person). However,…

Computation and Language · Computer Science 2020-06-05 Takuma Kato , Kaori Abe , Hiroki Ouchi , Shumpei Miyawaki , Jun Suzuki , Kentaro Inui

The article surveys published and not yet published results about moduli spaces of algebraic surfaces.

Algebraic Geometry · Mathematics 2008-12-24 Fabrizio Catanese

In this paper, we introduce Kondratiev spaces of fractional smoothness based on their close relation to refined localization spaces. Moreover, we investigate relations to other approaches leading to extensions of the scale of Kondratiev…

Numerical Analysis · Mathematics 2024-05-13 Markus Hansen , Cornelia Schneider

Let us denote ${\cal V}$, the finite dimensional vector spaces of functions of the form $\psi(x) = p_n(x) + f(x) p_m(x)$ where $p_n(x)$ and $p_m(x)$ are arbitrary polynomials of degree at most $n$ and $m$ in the variable $x$ while $f(x)$…

Mathematical Physics · Physics 2016-12-21 Y. Brihaye , J. Ndimubandi , B. Prasad Mandal

Deep learning has achieved unprecedented success in various object detection tasks with huge amounts of labeled data. However, obtaining large-scale annotations for medical images is extremely challenging due to the high demand of labour…

Image and Video Processing · Electrical Eng. & Systems 2022-03-21 Zhizhong Chai , Luyang Luo , Huangjing Lin , Hao Chen , Anjia Han , Pheng-Ann Heng

We discuss an elementary, yet unsolved, problem of Niederreiter concerning the enumeration of a class of subspaces of finite dimensional vector spaces over finite fields. A short and self-contained account of some recent progress on this…

Combinatorics · Mathematics 2013-05-31 Sudhir R. Ghorpade , Samrith Ram

Although multi-label learning can deal with many problems with label ambiguity, it does not fit some real applications well where the overall distribution of the importance of the labels matters. This paper proposes a novel learning…

Machine Learning · Computer Science 2016-04-06 Xin Geng

Aiming at improving performance of visual classification in a cost-effective manner, this paper proposes an incremental semi-supervised learning paradigm called Deep Co-Space (DCS). Unlike many conventional semi-supervised learning methods…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Ziliang Chen , Keze Wang , Xiao Wang , Pai Peng , Ebroul Izquierdo , Liang Lin
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