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Structure learning of Bayesian networks is an important problem that arises in numerous machine learning applications. In this work, we present a novel approach for learning the structure of Bayesian networks using the solution of an…

Machine Learning · Computer Science 2012-11-22 Tuhin Sahai , Stefan Klus , Michael Dellnitz

In this paper different optimization of Ad-hoc routing algorithm is surveyed and a new method using training based optimization algorithm for reducing the complexity of routing algorithms is suggested. A binary matrix is assigned to each…

Networking and Internet Architecture · Computer Science 2012-06-11 Sarvesh Kumar Sharma

This paper considers a time-varying optimization problem associated with a network of systems, with each of the systems shared by (and affecting) a number of individuals. The objective is to minimize cost functions associated with the…

Optimization and Control · Mathematics 2022-03-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

Due to errors of numerical methods, qualitative behavior of the numerically simulated solution may be completely different from qualitative behavior of the real trajectory. Therefor in study of attractors the more useful idea is to simulate…

Dynamical Systems · Mathematics 2018-08-15 Alexandr Danilin , Iryna Ryzhkova-Gerasymova

Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: the first selects a set of nodes so that observing this set…

Optimization and Control · Mathematics 2020-06-09 Eyal Weiss , Michael Margaliot

We clarify the effect different sampling methods and weighting schemes have on the statistics of attractors in ensembles of random Boolean networks (RBNs). We directly measure cycle lengths of attractors and sizes of basins of attraction in…

Statistical Mechanics · Physics 2009-04-28 Andrew Berdahl , Amer Shreim , Vishal Sood , Maya Paczuski , Joern Davidsen

Scaling model capacity has been vital in the success of deep learning. For a typical network, necessary compute resources and training time grow dramatically with model size. Conditional computation is a promising way to increase the number…

Machine Learning · Computer Science 2018-11-14 Louis Kirsch , Julius Kunze , David Barber

We show that the multiplicative weight update method provides a simple recipe for designing and analyzing optimal Bayesian Incentive Compatible (BIC) auctions, and reduces the time complexity of the problem to pseudo-polynomial in…

Computer Science and Game Theory · Computer Science 2013-04-12 Anand Bhalgat , Sreenivas Gollapudi , Kamesh Munagala

In this paper we combine two existing approaches for approximating attractors. One of them approximates the attractors arbitrarily well by sublevel sets related to solutions of infinite dimensional linear programming problems. A downside…

Optimization and Control · Mathematics 2023-10-06 Corbinian Schlosser

Automata learning has been successfully applied in the verification of hardware and software. The size of the automaton model learned is a bottleneck for scalability, and hence optimizations that enable learning of compact representations…

Formal Languages and Automata Theory · Computer Science 2019-11-04 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

In this article we study the minimum number $\kappa$ of additional automata that a Boolean automata network (BAN) associated with a given block-sequential update schedule needs in order to simulate a given BAN with a parallel update…

Discrete Mathematics · Computer Science 2017-02-13 Florian Bridoux , Pierre Guillon , Kévin Perrot , Sylvain Sené , Guillaume Theyssier

We present and study a probabilistic neural automaton in which the fraction of simultaneously-updated neurons is a parameter, rho (0, 1) . For small rho, there is relaxation towards one of the attractors and a great sensibility to external…

Disordered Systems and Neural Networks · Physics 2008-05-09 J. J. Torres , J. Marro , J. M. Cortes , B. Wemmenhove

The modern network aims to prioritize critical traffic over non-critical traffic and effectively manage traffic flow. This necessitates proper buffer management to prevent the loss of crucial traffic while minimizing the impact on…

Data Structures and Algorithms · Computer Science 2024-02-26 Ya-Chun Liang , Clifford Stein , Hao-Ting Wei

We study the combinatorial assignment domain, which includes combinatorial auctions and course allocation. The main challenge in this domain is that the bundle space grows exponentially in the number of items. To address this, several…

Machine Learning · Computer Science 2023-03-14 Jakob Weissteiner , Jakob Heiss , Julien Siems , Sven Seuken

We study revenue maximization in multi-item multi-bidder auctions under the natural item-independence assumption - a classical problem in Multi-Dimensional Bayesian Mechanism Design. One of the biggest challenges in this area is developing…

Computer Science and Game Theory · Computer Science 2022-04-12 Yang Cai , Argyris Oikonomou , Mingfei Zhao

Continuous "bump" attractors are an established model of cortical working memory for continuous variables and can be implemented using various neuron and network models. Here, we develop a generalizable approach for the approximation of…

Neurons and Cognition · Quantitative Biology 2017-11-23 Alexander Seeholzer , Moritz Deger , Wulfram Gerstner

We use simple equations in order to compare the basins of attraction on the complex plane, corresponding to a large collection of numerical methods, of several order. Two cases are considered, regarding the total number of the roots, which…

Numerical Analysis · Mathematics 2024-12-20 Euaggelos E. Zotos , Md Sanam Suraj , Amit Mittal , Rajiv Aggarwal

Learning Bayesian networks is often cast as an optimization problem, where the computational task is to find a structure that maximizes a statistically motivated score. By and large, existing learning tools address this optimization problem…

Machine Learning · Computer Science 2013-01-30 Nir Friedman , Iftach Nachman , Dana Pe'er

The paper addresses the problem of computing maximal expected time to termination of probabilistic timed automata (PTA) models, under the condition that the system will, eventually, terminate. This problem can exhibit high computational…

Formal Languages and Automata Theory · Computer Science 2018-03-23 Omar Al-Bataineh , Michael Fisher , David Rosenblum

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…

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