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One-class classification (OCC), which models one single positive class and distinguishes it from the negative class, has been a long-standing topic with pivotal application to realms like anomaly detection. As modern society often deals…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Siqi Wang , Jiyuan Liu , Guang Yu , Xinwang Liu , Sihang Zhou , En Zhu , Yuexiang Yang , Jianping Yin

In this paper the notion of quantum finite one-counter automata (QF1CA) is introduced. Introduction of the notion is similar to that of the 2-way quantum finite state automata by A.Kondacs and J.Watrous. The well-formedness conditions for…

Quantum Physics · Physics 2007-05-23 Maksim Kravtsev

Compared with electrical neural networks, optical neural networks (ONNs) have the potentials to break the limit of the bandwidth and reduce the consumption of energy, and therefore draw much attention in recent years. By far, several types…

Optics · Physics 2024-02-02 Yifan Sun , Qian Li , Ling-Jun Kong , Xiangdong Zhang

We investigate the descriptional complexity of different variants of 1-limited automata (1-las), an extension of two-way finite automata (2nfas) characterizing regular languages. In particular, we consider 2nfas with common-guess…

Formal Languages and Automata Theory · Computer Science 2025-05-01 Bruno Guillon , Luca Prigioniero , Javad Taheri

Does the trace language of a given vector addition system (VAS) intersect with a given context-free language? This question lies at the heart of several verification questions involving recursive programs with integer parameters. In…

Formal Languages and Automata Theory · Computer Science 2015-04-30 Jérôme Leroux , Grégoire Sutre , Patrick Totzke

It is undecidable whether the language recognized by a probabilistic finite automaton is empty. Several other undecidability results, in particular regarding problems about matrix products, are based on this important theorem. We present…

Formal Languages and Automata Theory · Computer Science 2024-06-07 Günter Rote

Optical Wireless Communication networks (OWC) has emerged as a promising technology that enables high-speed and reliable communication bandwidth for a variety of applications. In this work, we investigated applying Random Linear Network…

Information Theory · Computer Science 2023-05-09 Ahmed Ali Hassan , Ahmed Adnan Qidan , Taisir Elgorashi , Jaafar Elmirghani

Vector addition system with states (VASS) is a popular model for the verification of concurrent systems. VASS consists of finitely many control states and a set of counters which can be incremented and decremented, but not tested for zero.…

Logic in Computer Science · Computer Science 2024-05-21 A. R. Balasubramanian

A data tree is an unranked ordered tree where each node carries a label from a finite alphabet and a datum from some infinite domain. We consider the two variable first order logic FO2(<,+1,~) over data trees. Here +1 refers to the child…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Florent Jacquemard , Luc Segoufin , Jerémie Dimino

Pushdown Vector Addition Systems with States (PVASS) consist of finitely many control states, a pushdown stack, and a set of counters that can be incremented and decremented, but not tested for zero. Whether the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2023-11-01 A. R. Balasubramanian , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

We present a new handwritten text segmentation method by training a convolutional neural network (CNN) in an end-to-end manner. Many conventional methods addressed this problem by extracting connected components and then classifying them.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Junho Jo , Hyung Il Koo , Jae Woong Soh , Nam Ik Cho

We study the following decision problem: is the language recognized by a quantum finite automaton empty or non-empty? We prove that this problem is decidable or undecidable depending on whether recognition is defined by strict or non-strict…

Quantum Physics · Physics 2007-05-23 Vincent D. Blondel , Emmanuel Jeandel , Pascal Koiran , Natacha Portier

We show that neural networks with access to randomness can outperform deterministic networks by using amplification. We call such networks Coin-Flipping Neural Networks, or CFNNs. We show that a CFNN can approximate the indicator of a…

Machine Learning · Computer Science 2022-06-23 Yuval Sieradzki , Nitzan Hodos , Gal Yehuda , Assaf Schuster

We present PFNN, a penalty-free neural network method, to efficiently solve a class of second-order boundary-value problems on complex geometries. To reduce the smoothness requirement, the original problem is reformulated to a weak form so…

Numerical Analysis · Mathematics 2021-02-03 Hailong Sheng , Chao Yang

The corner-based detection paradigm enjoys the potential to produce high-quality boxes. But the development is constrained by three factors: 1) Hard to match corners. Heuristic corner matching algorithms can lead to incorrect boxes,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Chenglong Liu , Jintao Liu , Haorao Wei , Jinze Yang , Liangyu Xu , Yuchen Guo , Lu Fang

We propose a one-class neural network (OC-NN) model to detect anomalies in complex data sets. OC-NN combines the ability of deep networks to extract a progressively rich representation of data with the one-class objective of creating a…

Machine Learning · Computer Science 2019-01-14 Raghavendra Chalapathy , Aditya Krishna Menon , Sanjay Chawla

Discriminative learning based on convolutional neural networks (CNNs) aims to perform image restoration by learning from training examples of noisy-clean image pairs. It has become the go-to methodology for tackling image restoration and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Junaid Malik , Serkan Kiranyaz , Moncef Gabbouj

In this paper, we propose Orthogonal Generative Adversarial Networks (O-GANs). We decompose the network of discriminator orthogonally and add an extra loss into the objective of common GANs, which can enforce discriminator become an…

Computer Vision and Pattern Recognition · Computer Science 2019-03-06 Jianlin Su

In time Petri nets (TPNs), time and control are tightly connected: time measurement for a transition starts only when all resources needed to fire it are available. Further, upper bounds on duration of enabledness can force transitions to…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Loïc Hélouët , Pranay Agrawal

Bayesian networks (BNs) are graphical \emph{first-order} probabilistic models that allow for a compact representation of large probability distributions, and for efficient inference, both exact and approximate. We introduce a…

Logic in Computer Science · Computer Science 2023-12-12 Claudia Faggian , Daniele Pautasso , Gabriele Vanoni
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