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A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.

复变函数 · 数学 2025-03-03 Daniel Alpay , Zubayir Kazi , Mariana Tecalero , Dan Volok

Consider $k\ge 2$ distinct, linearly independent, homogeneous linear recurrences of order $k$ satisfying the same recurrence relation. We prove that the recurrences are related to a decomposable form of degree $k$, and there is a very broad…

数论 · 数学 2023-08-29 Kalman Gyory , Attila Petho , Laszlo Szalay

Most machine learning models are designed to maximize predictive accuracy. In this work, we explore a different goal: building classifiers that are interesting. An ``interesting classifier'' is one that uses unusual or unexpected features,…

机器学习 · 计算机科学 2025-08-28 Ryoma Sato

Optical Character Recognition (OCR) has been a topic of interest for many years. It is defined as the process of digitizing a document image into its constituent characters. Despite decades of intense research, developing OCR with…

计算机视觉与模式识别 · 计算机科学 2017-10-17 Noman Islam , Zeeshan Islam , Nazia Noor

Recently, a new fractional derivative called the conformable fractional derivative is given on based basic limit definition derivative in [4]. Then, the fractional versions of chain rules, exponential functions, Gronwalls inequality,…

经典分析与常微分方程 · 数学 2015-04-09 Ahmet Gökdoğan , Emrah Ünal , Ercan Çelik

Once the set of finite graphs is equipped with an algebra structure (arising from the definition of operations that generalize the concatenation of words), one can define the notion of a recognizable set of graphs in terms of finite…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Bruno Courcelle , Pascal Weil

Saliency detection has drawn a lot of attention of researchers in various fields over the past several years. Saliency is the perceptual quality that makes an object, person to draw the attention of humans at the very sight. Salient object…

计算机视觉与模式识别 · 计算机科学 2017-07-06 Shubham Pachori

This work lists and describes the main recent strategies for building fixed-length, dense and distributed representations for words, based on the distributional hypothesis. These representations are now commonly called word embeddings and,…

计算与语言 · 计算机科学 2023-05-03 Felipe Almeida , Geraldo Xexéo

Motifs are distinctive recurring elements found in folklore that have significance as communicative devices in news, literature, press releases, and propaganda. Motifs concisely imply a large constellation of culturally-relevant…

Recognising persons in everyday photos presents major challenges (occluded faces, different clothing, locations, etc.) for machine vision. We propose a convnet based person recognition system on which we provide an in-depth analysis of…

计算机视觉与模式识别 · 计算机科学 2015-09-28 Seong Joon Oh , Rodrigo Benenson , Mario Fritz , Bernt Schiele

Multi-layer graphs consist of several graphs (layers) over the same vertex set. They are motivated by real-world problems where entities (vertices) are associated via multiple types of relationships (edges in different layers). We chart the…

计算复杂性 · 计算机科学 2019-10-23 Robert Bredereck , Christian Komusiewicz , Stefan Kratsch , Hendrik Molter , Rolf Niedermeier , Manuel Sorge

Despite the great success of face recognition techniques, recognizing persons under unconstrained settings remains challenging. Issues like profile views, unfavorable lighting, and occlusions can cause substantial difficulties. Previous…

计算机视觉与模式识别 · 计算机科学 2018-06-11 Qingqiu Huang , Yu Xiong , Dahua Lin

The field of Machine Learning research is divided into subject areas, where each area tries to solve a specific problem, using specific methods. In recent years, borders have almost been erased, and many areas inherit methods from other…

计算机与社会 · 计算机科学 2019-08-09 Arip Asadulaev

We investigate several questions related to the notion of recognizable morphism. The main result is a new proof of Moss\'e's theorem and actually of a generalization to non primitive morphisms due to Berth\'e et al. We actually prove the…

动力系统 · 数学 2022-10-18 Marie-Pierre Béal , Dominique Perrin , Antonio Restivo

We consider the problem of recognizing mentions of human senses in text. Our contribution is a method for acquiring labeled data, and a learning method that is trained on this data. Experiments show the effectiveness of our proposed data…

计算与语言 · 计算机科学 2019-07-18 Ndapa Nakashole

Deep learning has been shown to be successful in a number of domains, ranging from acoustics, images, to natural language processing. However, applying deep learning to the ubiquitous graph data is non-trivial because of the unique…

机器学习 · 计算机科学 2020-03-16 Ziwei Zhang , Peng Cui , Wenwu Zhu

Multiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters. Several corollaries and examples are presented which are…

数论 · 数学 2024-06-12 Kunle Adegoke , Robert Frontczak

It is well-known that biological phenomena are emergent. Emergent phenomena are quite interesting and amazing. However, they are difficult to be understood. Due to this difficulty, we propose a theory to describe emergence based on a…

范畴论 · 数学 2018-10-30 Giuliano Gadioli La Guardia , Pedro Jeferson Miranda

We introduce a notion of weak definability of first order structures, show that various classification-theoretic properties are or are not preserved under it, and that the properties which are preserved can also be characterized in terms of…

逻辑 · 数学 2026-05-13 Erik Walsberg

Traditional clustering identifies groups of objects that share certain qualities. Tangles do the converse: they identify groups of qualities that often occur together. They can thereby identify and discover 'types': of behaviour, views,…

组合数学 · 数学 2019-07-18 Reinhard Diestel
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