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Filter convergence of vector lattice-valued measures is considered, in order to deduce theorems of convergence for their decompositions. First the $\sigma$-additive case is studied, without particular assumptions on the filter; later the…

Functional Analysis · Mathematics 2015-08-12 Domenico Candeloro , Anna Rita Sambucini

In this paper, we investigate the algebras of consequence operators and finite consequence operators on a fixed language. Significant new collections of consequence operators are defined and shown to be complete and distributive…

Logic · Mathematics 2013-05-24 Robert A. Herrmann

We consider two natural subclasses of deterministic top-down tree-to-tree transducers, namely, linear and uniform-copying transducers. For both classes we show that it is decidable whether the translation of a transducer with look-ahead can…

Formal Languages and Automata Theory · Computer Science 2025-03-28 Sebastian Maneth , Helmut Seidl

Several methods have been proposed for classifying long textual documents using Transformers. However, there is a lack of consensus on a benchmark to enable a fair comparison among different approaches. In this paper, we provide a…

Computation and Language · Computer Science 2022-03-23 Hyunji Hayley Park , Yogarshi Vyas , Kashif Shah

We present a system for generating parsers based directly on the metaphor of parsing as deduction. Parsing algorithms can be represented directly as deduction systems, and a single deduction engine can interpret such deduction systems so as…

cmp-lg · Computer Science 2008-02-03 Stuart M. Shieber , Yves Schabes , Fernando C. N. Pereira

Generative adversarial networks (GANs) are a novel approach to generative modelling, a task whose goal it is to learn a distribution of real data points. They have often proved difficult to train: GANs are unlike many techniques in machine…

Machine Learning · Computer Science 2018-07-02 Samuel A. Barnett

In this paper we prove a series of matching theorems for two sets of Coxeter generators of a finitely generated Coxeter group that identify common features of the two sets of generators. As an application, we describe an algorithm for…

Group Theory · Mathematics 2014-10-01 Michael Mihalik , John Ratcliffe , Steven Tschantz

We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the \emph{Haagerup fusion category} $\mathcal{H}_3$ as input data. We present compelling numerical evidence in the form of…

Accurate waste disposal, at the point of disposal, is crucial to fighting climate change. When materials that could be recycled or composted get diverted into landfills, they cause the emission of potent greenhouse gases such as methane.…

Machine Learning · Computer Science 2021-01-18 Yash Narayan

Long-tail recognition tackles the natural non-uniformly distributed data in real-world scenarios. While modern classifiers perform well on populated classes, its performance degrades significantly on tail classes. Humans, however, are less…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Tz-Ying Wu , Pedro Morgado , Pei Wang , Chih-Hui Ho , Nuno Vasconcelos

Incremental computation has recently been studied using the concepts of change structures and derivatives of programs, where the derivative of a function allows updating the output of the function based on a change to its input. We…

Programming Languages · Computer Science 2018-11-26 Mario Alvarez-Picallo , Alex Eyers-Taylor , Michael Peyton Jones , C. -H. Luke Ong

In the static analysis of functional programs, pushdown flow analysis and abstract garbage collection skirt just inside the boundaries of soundness and decidability. Alone, each method reduces analysis times and boosts precision by orders…

Programming Languages · Computer Science 2012-07-10 Christopher Earl , Ilya Sergey , Matthew Might , David Van Horn

This work studies training generative adversarial networks under the federated learning setting. Generative adversarial networks (GANs) have achieved advancement in various real-world applications, such as image editing, style transfer,…

Machine Learning · Computer Science 2020-07-21 Chenyou Fan , Ping Liu

Dijkstra observed that verifying correctness of a program is difficult and conjectured that derivation of a program hand-in-hand with its proof of correctness was the answer. We illustrate this goal-oriented approach by applying it to the…

Mathematical Software · Computer Science 2017-10-13 Devangi N. Parikh , Maggie E. Myers , Robert A. van de Geijn

We give a general constructive proof for hierarchical coordinatizations (Lagrange Decompositions) of permutation groups. The generalization originates from the investigation of how the subgroup chains of finite permutation groups yield…

Group Theory · Mathematics 2009-12-01 Attila Egri-Nagy , Chrystopher L. Nehaniv

This paper discusses some unusual consequences raised by the definition of the conformable derivative in the lower terminal. A replacement for this definition is proposed and statements adjusted to the new definition are presented.

General Mathematics · Mathematics 2024-09-06 Hristo Kiskinov , Milena Petkova , Andrey Zahariev

Diffusion models have been applied to improve adversarial robustness of image classifiers by purifying the adversarial noises or generating realistic data for adversarial training. However, diffusion-based purification can be evaded by…

Computer Vision and Pattern Recognition · Computer Science 2024-05-22 Huanran Chen , Yinpeng Dong , Zhengyi Wang , Xiao Yang , Chengqi Duan , Hang Su , Jun Zhu

Modern parcel logistic networks are designed to ship demand between given origin, destination pairs of nodes in an underlying directed network. Efficiency dictates that volume needs to be consolidated at intermediate nodes in typical…

Discrete Mathematics · Computer Science 2023-11-10 Madison Van Dyk , Kim Klause , Jochen Koenemann , Nicole Megow

We introduce generative adversarial models in which the discriminator is replaced by a calibrated (non-differentiable) classifier repeatedly enhanced by domain relevant features. The role of the classifier is to prove that the actual and…

Machine Learning · Computer Science 2019-10-08 Shahar Harel , Meir Maor , Amir Ronen

This paper is motivated by the theory of sequential dynamical systems, developed as a basis for a mathematical theory of computer simulation. It contains a classification of finite dynamical systems on binary strings, which are obtained by…

Dynamical Systems · Mathematics 2007-05-23 Luis Garcia , Abdul Salam Jarrah , Reinhard Laubenbacher