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An arithmetical structure on a graph is given by a labeling of the vertices which satisfies certain divisibility properties. In this note, we look at several families of graphs and attempt to give counts on the number of arithmetical…

Combinatorics · Mathematics 2019-03-05 Darren Glass , Joshua Wagner

Sequence labelling is the task of assigning categorical labels to a data sequence. In Natural Language Processing, sequence labelling can be applied to various fundamental problems, such as Part of Speech (POS) tagging, Named Entity…

Computation and Language · Computer Science 2018-07-31 Mahtab Ahmed , Muhammad Rifayat Samee , Robert E. Mercer

In recent years, multi-label classification has attracted a significant body of research, motivated by real-life applications, such as text classification and medical diagnoses. Although sparsely studied in this context, Learning Classifier…

Neural and Evolutionary Computing · Computer Science 2015-12-29 Fani A. Tzima , Miltiadis Allamanis , Alexandros Filotheou , Pericles A. Mitkas

We introduce stratified labelings as a novel semantical approach to abstract argumentation frameworks. Compared to standard labelings, stratified labelings provide a more fine-grained assessment of the controversiality of arguments using…

Artificial Intelligence · Computer Science 2013-08-06 Matthias Thimm , Gabriele Kern-Isberner

We find that the way we choose to represent data labels can have a profound effect on the quality of trained models. For example, training an image classifier to regress audio labels rather than traditional categorical probabilities…

Machine Learning · Computer Science 2021-04-07 Boyuan Chen , Yu Li , Sunand Raghupathi , Hod Lipson

Indexed languages are interesting in computational linguistics because they are the least class of languages in the Chomsky hierarchy that has not been shown not to be adequate to describe the string set of natural language sentences. We…

cmp-lg · Computer Science 2008-02-03 Tore Burheim

We present a system for the automatic differentiation of a higher-order functional array-processing language. The core functional language underlying this system simultaneously supports both source-to-source automatic differentiation and…

Mathematical Software · Computer Science 2018-06-07 Amir Shaikhha , Andrew Fitzgibbon , Dimitrios Vytiniotis , Simon Peyton Jones , Christoph Koch

This paper addresses image classification through learning a compact and discriminative dictionary efficiently. Given a structured dictionary with each atom (columns in the dictionary matrix) related to some label, we propose cross-label…

Machine Learning · Computer Science 2017-08-02 Xiudong Wang , Yuantao Gu

The study describes a class of integer labelings of the Fibonacci tree, the tree of descent introduced by Fibonacci. In these labelings, Fibonacci sequences appear along ascending branches of the tree, and it is shown that the labels at any…

Number Theory · Mathematics 2015-05-21 Stéphane Legendre

Labeled infinite trees provide combinatorial interpretations for many integer sequences generated by nested recurrence relations. Typically, such sequences are monotone increasing. Several of these sequences also have straightforward…

Combinatorics · Mathematics 2022-11-07 Nathan Fox

We consider the (one-dimensional) array counterpart of contextual as well as insertion and deletion string grammars and consider the operations of array insertion and deletion in array grammars. First we show that the emptiness problem for…

Formal Languages and Automata Theory · Computer Science 2013-09-06 Rudolf Freund , Sergiu Ivanov , Marion Oswald , K. G. Subramanian

Probing the multilingual knowledge of linguistic structure in LLMs, often characterized as sequence labeling, faces challenges with maintaining output templates in current text-to-text prompting strategies. To solve this, we introduce a…

Computation and Language · Computer Science 2025-11-07 Ercong Nie , Shuzhou Yuan , Bolei Ma , Helmut Schmid , Michael Färber , Frauke Kreuter , Hinrich Schütze

Deep neural models have achieved state of the art performance on a wide range of problems in computer science, especially in computer vision. However, deep neural networks often require large datasets of labeled samples to generalize…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Patrick Kage , Jay C. Rothenberger , Pavlos Andreadis , Dimitrios I. Diochnos

Hierarchical Extreme Multi-Label Classification poses greater difficulties compared to traditional multi-label classification because of the intricate hierarchical connections of labels within a domain-specific taxonomy and the substantial…

Machine Learning · Computer Science 2025-05-08 Linqing Chen , Weilei Wang , Wentao Wu , Hanmeng Zhong

Multi-label classification (MLC) refers to the problem of tagging a given instance with a set of relevant labels. Most existing MLC methods are based on the assumption that the correlation of two labels in each label pair is symmetric,…

Machine Learning · Computer Science 2024-10-04 Xingyu Zhao , Yuexuan An , Lei Qi , Xin Geng

Prompted models have demonstrated impressive few-shot learning abilities. Repeated interactions at test-time with a single model, or the composition of multiple models together, further expands capabilities. These compositions are…

In contrast to multi-label learning, label distribution learning characterizes the polysemy of examples by a label distribution to represent richer semantics. In the learning process of label distribution, the training data is collected…

Machine Learning · Computer Science 2022-09-29 Zhuoran Zheng , Xiuyi Jia

Given a transition system with an independence relation on the alphabet of labels, one can associate with it a usually very large symmetric higher-dimensional automaton. The purpose of this paper is to show that by choosing an acyclic…

Formal Languages and Automata Theory · Computer Science 2022-08-05 Thomas Kahl

Over the last couple of years, deep learning and especially convolutional neural networks have become one of the work horses of computer vision. One limiting factor for the applicability of supervised deep learning to more areas is the need…

Computer Vision and Pattern Recognition · Computer Science 2017-12-07 Sebastian Stabinger , Antonio Rodriguez-Sanchez

Multi-step reasoning improves the capabilities of large language models (LLMs) but increases the risk of errors propagating through intermediate steps. Process reward models (PRMs) mitigate this by scoring each step individually, enabling…

Computation and Language · Computer Science 2026-03-19 Corentin Royer , Debarun Bhattacharjya , Gaetano Rossiello , Andrea Giovannini , Mennatallah El-Assady
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