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Color refinement is a crucial subroutine in symmetry detection in theory as well as practice. It has further applications in machine learning and in computational problems from linear algebra. While tight lower bounds for the worst case…

Data Structures and Algorithms · Computer Science 2021-03-19 Markus Anders , Pascal Schweitzer , Florian Wetzels

Coloring is used in wireless networks to improve communication efficiency, mainly in terms of bandwidth, energy and possibly end-to-end delays. In this research report, we define the h-hop node coloring problem, with h any positive integer.…

Networking and Internet Architecture · Computer Science 2011-04-12 Ichrak Amdouni , Pascale Minet , Cédric Adjih

This work attempts to interpret modern deep (convolutional) networks from the principles of rate reduction and (shift) invariant classification. We show that the basic iterative gradient ascent scheme for optimizing the rate reduction of…

Machine Learning · Computer Science 2020-10-30 Kwan Ho Ryan Chan , Yaodong Yu , Chong You , Haozhi Qi , John Wright , Yi Ma

Top-down induction of decision trees has been observed to suffer from the inadequate functioning of the pruning phase. In particular, it is known that the size of the resulting tree grows linearly with the sample size, even though the…

Artificial Intelligence · Computer Science 2011-06-06 T. Elomaa , M. Kaariainen

Based on literature review about existing diffusion models and flow matching with a neural network to predict a predefined target from noisy data, a unified representation is first proposed for these models using two simple linear equations…

Machine Learning · Computer Science 2026-03-10 Zhengguo Li , Chaobing Zheng , Wei Wang

It is well known that deep generative models have a rich latent space, and that it is possible to smoothly manipulate their outputs by traversing this latent space. Recently, architectures have emerged that allow for more complex…

Machine Learning · Computer Science 2019-12-06 Andrew Gambardella , Atılım Güneş Baydin , Philip H. S. Torr

Normalizing flows are a powerful class of generative models demonstrating strong performance in several speech and vision problems. In contrast to other generative models, normalizing flows are latent variable models with tractable…

Machine Learning · Computer Science 2021-08-06 Dmitry Baranchuk , Vladimir Aliev , Artem Babenko

In this paper we investigate formal verification of extracted rules for Neural Networks under a complexity theoretic point of view. A rule is a global property or a pattern concerning a large portion of the input space of a network. These…

Artificial Intelligence · Computer Science 2025-09-23 Adrian Wurm

In order to conduct analyses of networked systems where connections between individuals take on a range of values - counts, continuous strengths or ordinal rankings - a common technique is to dichotomize the data according to their…

Applications · Statistics 2015-03-17 Andrew C. Thomas , Joseph K. Blitzstein

The objective of this paper is to initiate a qualitative analysis of dynamic flow in traffic networks by using the competitive equilibrium model of multiple market systems. A network is modeled as a dynamic graph where routes (edges) are…

Systems and Control · Computer Science 2017-11-30 Dragoslav D. Šiljak

Recent conditional language models are able to continue any kind of text source in an often seemingly fluent way. This fact encouraged research in the area of open-domain conversational systems that are based on powerful language models and…

Computation and Language · Computer Science 2023-08-14 Fabian Galetzka , Anne Beyer , David Schlangen

We introduce MusicFlow, a cascaded text-to-music generation model based on flow matching. Based on self-supervised representations to bridge between text descriptions and music audios, we construct two flow matching networks to model the…

Recently, it has been shown that the max flow capacity can be achieved in a multicast network using network coding. In this paper, we propose and analyze a more realistic model for wireless random networks. We prove that the capacity of…

Information Theory · Computer Science 2008-11-11 Salah A. Aly , Vishal Kapoor , Jie Meng , Andreas Klappenecker

Finding a suitable layout represents a crucial task for diverse applications in graphic design. Motivated by simpler and smoother sampling trajectories, we explore the use of Flow Matching as an alternative to current diffusion-based layout…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Julian Jorge Andrade Guerreiro , Naoto Inoue , Kento Masui , Mayu Otani , Hideki Nakayama

In this paper we consider graph-coloring problems, an important subset of general constraint satisfaction problems that arise in wireless resource allocation. We constructively establish the existence of fully decentralized learning-based…

Networking and Internet Architecture · Computer Science 2015-06-11 Alessandro Checco , Douglas Leith

We study a heterogeneous agent macroeconomic model with an infinite number of households and firms competing in a labor market. Each household earns income and engages in consumption at each time step while aiming to maximize a concave…

General Economics · Economics 2023-03-10 Ruitu Xu , Yifei Min , Tianhao Wang , Zhaoran Wang , Michael I. Jordan , Zhuoran Yang

Rule-based machine translation is more data efficient than the big data-based machine translation approaches, making it appropriate for languages with low bilingual corpus resources -- i.e., minority languages. However, the rule-based…

Computation and Language · Computer Science 2019-04-29 Patrick Connor

We present a new approach and a novel architecture, termed WSNet, for learning compact and efficient deep neural networks. Existing approaches conventionally learn full model parameters independently and then compress them via ad hoc…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Xiaojie Jin , Yingzhen Yang , Ning Xu , Jianchao Yang , Nebojsa Jojic , Jiashi Feng , Shuicheng Yan

In this paper we consider the design of wireless queueing network control policies with special focus on application-dependent service constraints. In particular we consider streaming traffic induced requirements such as avoiding buffer…

Systems and Control · Computer Science 2015-03-20 Martin Kasparick , Gerhard Wunder

Extracting workflow nets from textual descriptions can be used to simplify guidelines or formalize textual descriptions of formal processes like business processes and algorithms. The task of manually extracting processes, however, requires…

Computation and Language · Computer Science 2023-07-20 Nils Freyer , Dustin Thewes , Matthias Meinecke