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The task of unpaired image-to-image translation is highly challenging due to the lack of explicit cross-domain pairs of instances. We consider here diverse image translation (DIT), an even more challenging setting in which an image can have…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Yaxing Wang , Abel Gonzalez-Garcia , Joost van de Weijer , Luis Herranz

Quantum walks, in virtue of the coherent superposition and quantum interference, possess exponential superiority over its classical counterpart in applications of quantum searching and quantum simulation. The quantum enhanced power is…

The involution walk is the random walk on $S_n$ generated by involutions with a binomially distributed with parameter $1-p$ number of $2$-cycles. This is a parallelization of the transposition walk. The involution walk is shown in this…

Combinatorics · Mathematics 2016-07-05 Megan Bernstein

We introduce a modified model of random walk, and then develop two novel clustering algorithms based on it. In the algorithms, each data point in a dataset is considered as a particle which can move at random in space according to the…

Machine Learning · Computer Science 2008-10-31 Qiang Li , Yan He , Jing-ping Jiang

Image-to-image translation is a general name for a task where an image from one domain is converted to a corresponding image in another domain, given sufficient training data. Traditionally different approaches have been proposed depending…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Soumya Tripathy , Juho Kannala , Esa Rahtu

Copying an element from a photo and pasting it into a painting is a challenging task. Applying photo compositing techniques in this context yields subpar results that look like a collage --- and existing painterly stylization algorithms,…

Graphics · Computer Science 2018-06-28 Fujun Luan , Sylvain Paris , Eli Shechtman , Kavita Bala

The task of unsupervised image-to-image translation has seen substantial advancements in recent years through the use of deep neural networks. Typically, the proposed solutions learn the characterizing distribution of two large, unpaired…

Computer Vision and Pattern Recognition · Computer Science 2021-01-07 Sagie Benaim , Ron Mokady , Amit Bermano , Daniel Cohen-Or , Lior Wolf

We study a 2-D disordered time-discrete quantum walk based on 1-D `generalized elephant quantum walk' where an entangling coin operator is assumed and which paves the way to a new set of properties. We show that considering a given disorder…

Unsupervised image-to-image translation methods aim to map images from one domain into plausible examples from another domain while preserving structures shared across two domains. In the many-to-many setting, an additional guidance example…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Ben Usman , Dina Bashkirova , Kate Saenko

Cross-view image translation is challenging because it involves images with drastically different views and severe deformation. In this paper, we propose a novel approach named Multi-Channel Attention SelectionGAN (SelectionGAN) that makes…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Hao Tang , Dan Xu , Nicu Sebe , Yanzhi Wang , Jason J. Corso , Yan Yan

Quantum random walks represent a powerful tool for the implementation of various quantum algorithms. We consider a convolution problem for the graphs which provide quantum and classical random walks. We suggest a new method for lattices and…

Quantum Physics · Physics 2025-07-23 Roman Abramov , Leonid Fedichkin , Dmitry Tsarev , Alexander Alodjants

Random walks on multidimensional nonlinear landscapes are of interest in many areas of science and engineering. In particular, properties of adaptive trajectories on fitness landscapes determine population fates and thus play a central role…

Populations and Evolution · Quantitative Biology 2014-10-08 Michael Manhart , Alexandre V. Morozov

Population structure can have a significant effect on evolution. For some systems with sufficient symmetry, analytic results can be derived within the mathematical framework of evolutionary graph theory which relate to the outcome of the…

Populations and Evolution · Quantitative Biology 2019-03-11 Christopher E. Overton , Mark Broom , Christoforos Hadjichrysanthou , Kieran J. Sharkey

This paper examines the four main types of Evolutionary Design by computers: Evolutionary Design Optimisation, Evolutionary Art, Evolutionary Artificial Life Forms and Creative Evolutionary Design. Definitions for all four areas are…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Peter J Bentley

Face morphing is a problem in computer graphics with numerous artistic and forensic applications. It is challenging due to variations in pose, lighting, gender, and ethnicity. This task consists of a warping for feature alignment and a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Guilherme Schardong , Tiago Novello , Hallison Paz , Iurii Medvedev , Vinícius da Silva , Luiz Velho , Nuno Gonçalves

The quantum random walk has drawn special interests because its remarkable features to the classical counterpart could lead to new quantum algorithms. In this paper, we propose a feasible scheme to implement quantum random walks on a line…

Quantum Physics · Physics 2007-05-23 Zhi Zhao , Jiangfeng Du , Hui Li , Tao Yang , Zeng-Bing Chen , Jian-Wei Pan

From early image processing to modern computational imaging, successful models and algorithms have relied on a fundamental property of natural signals: symmetry. Here symmetry refers to the invariance property of signal sets to…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Dongdong Chen , Mike Davies , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb , Ferdia Sherry , Julián Tachella

Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

Populations and Evolution · Quantitative Biology 2016-03-23 Olivier Rivoire

We establish and generalise several bounds for various random walk quantities including the mixing time and the maximum hitting time. Unlike previous analyses, our derivations are based on rather intuitive notions of local expansion…

Probability · Mathematics 2019-03-05 Thomas Sauerwald , Luca Zanetti

Quantum random walks (QRWs) are random processes in which the resulting probability density of the "walker" state, whose movement is governed by a "coin" state, is described in a non-classical manner. Previously, Q-plates have been used to…