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A tutorial introduction to the minimum description length principle [article]

Peter Grunwald
2004 arXiv   pre-print
This tutorial is an extended version of the first two chapters of the collection "Advances in Minimum Description Length: Theory and Application" (edited by P.Grunwald, I.J. Myung and M.  ...  This tutorial provides an overview of and introduction to Rissanen's Minimum Description Length (MDL) Principle.  ...  Acknowledgments The author would like to thank Jay Myung, Mark Pitt, Steven de Rooij and Teemu Roos, who read a preliminary version of this chapter and suggested several improvements. Notes  ... 
arXiv:math/0406077v1 fatcat:zhxexym4vbh2zpyko6pkawszly

A Shape Dynamics Tutorial [article]

Flavio Mercati
2017 arXiv   pre-print
The Tutorial is sufficiently self-contained for an undergrad student with some basic background in GR and Lagrangian/Hamiltonian mechanics.  ...  It is intended both as a reference text for students approaching the subject and as a review for researchers interested in the theory.  ...  in this Tutorial.  ... 
arXiv:1409.0105v2 fatcat:3x6djbhzyrf35es4fbvhtnd5xa

Tutorials on Advanced Optimization Methods [article]

Wei Wei
2020 arXiv   pre-print
This material provides thorough tutorials on some optimization techniques frequently used in various engineering disciplines, including convex optimization, linearization techniques and mixed-integer linear  ...  This material is a good reference for self-learners who have basic knowledge in linear algebra and linear programming.  ...  Lasserre, J.B.: Moments, Positive Polynomials and Their Applications. Imperial College Press, London UK (2009) 61.  ... 
arXiv:2007.13545v1 fatcat:o5rx62tjzvfunitksen4dlci6m

Line Drawings from 3D Models: A Tutorial

Pierre Bénard, Aaron Hertzmann
2019 Foundations and Trends in Computer Graphics and Vision  
The geometry of occluding contours on meshes and on smooth surfaces is described in detail, together with algorithms for extracting contours, computing their visibility, and creating stylized renderings  ...  This tutorial describes the geometry and algorithms for generating line drawings from 3D models, focusing on occluding contours.  ...  We can compare the generative theory to the world before and after Newtonian mechanics.  ... 
doi:10.1561/0600000075 fatcat:vfuxfjozhbgjrkcburw4geuvrq

Convex Analysis and Optimization with Submodular Functions: a Tutorial [article]

Francis Bach
2010 arXiv   pre-print
In this tutorial, the theory of submodular functions is presented, in a self-contained way, with all results shown from first principles. A good knowledge of convex analysis is assumed.  ...  Set-functions appear in many areas of computer science and applied mathematics, such as machine learning, computer vision, operations research or electrical networks.  ...  Acknowledgements This tutorial was partially supported by grants from the Agence Nationale de la Recherche (MGA Project) and from the European Research Council (SIERRA Project).  ... 
arXiv:1010.4207v2 fatcat:ol474mjst5g5hprgto3dkwhy4m

A tutorial on decomposition methods for network utility maximization

D.P. Palomar, Mung Chiang
2006 IEEE Journal on Selected Areas in Communications  
In this tutorial paper, we first review the basics of convexity, Lagrange duality, distributed subgradient method, Jacobi and Gauss-Seidel iterations, and implication of different time scales of variable  ...  Decomposition theory naturally provides the mathematical language to build an analytic foundation for the design of modularized and distributed control of networks.  ...  Rexford, and C. W. Tan, whose joint work with us form parts of the materials in Section IV. They are also grateful for discussions on this subject with many colleagues, especially recent ones with F.  ... 
doi:10.1109/jsac.2006.879350 fatcat:yxs5ssvnqngbxpxsolspsnukhq

Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization

Arnold Neumaier
1998 SIAM Review  
It is shown that the basic regularization procedures for finding meaningful approximate solutions of ill-conditioned or singular linear systems can be phrased and analyzed in terms of classical linear  ...  algebra that can be taught in any numerical analysis course.  ...  Part of this research was done in 1994, when the author enjoyed a stimulating year at Bell Laboratories, Murray Hill, NJ.  ... 
doi:10.1137/s0036144597321909 fatcat:f6q3kkiyancqfp3pbrhfnxaufu

A Tutorial on Encoding and Wireless Transmission of Compressively Sampled Videos

S. Pudlewski, T. Melodia
2013 IEEE Communications Surveys and Tutorials  
Existing solutions are examined, and compared in terms of applicability to wireless multimedia sensor networks (WMSNs). Finally, open issues are discussed and future research trends are outlined.  ...  In this tutorial, we first briefly discuss challenges involved in the transmission of video over a wireless multimedia sensor network (WMSN).  ...  Effects of Quantization: In general, CS theory assumes that the signal is compressed and recovered in the real domain.  ... 
doi:10.1109/surv.2012.121912.00154 fatcat:kh7kveirtzggpmoqrstzv7llfu

Accessing From The Sky: A Tutorial on UAV Communications for 5G and Beyond [article]

Yong Zeng, Qingqing Wu, Rui Zhang
2019 arXiv   pre-print
Unmanned aerial vehicles (UAVs) have found numerous applications and are expected to bring fertile business opportunities in the next decade.  ...  In particular, we partition our discussions into two promising research and application frameworks of UAV communications, namely UAV-assisted wireless communications and cellular-connected UAVs,where UAVs  ...  Besides, for the average communication rate in (34) , by defining the convex function h(z) = log 2 1 + γ k z α , z ≥ 0 and letting z = q[n] − w k , the following concave lower bound can be obtained log  ... 
arXiv:1903.05289v2 fatcat:tvwlivdxpra6rebdvikbrrczmm

Intelligent Reflecting Surface Aided Wireless Communications: A Tutorial [article]

Qingqing Wu and Shuowen Zhang and Beixiong Zheng and Changsheng You and Rui Zhang
2020 arXiv   pre-print
, as well as various appealing applications in wireless networks.  ...  In this paper, we provide a tutorial overview of IRS-aided wireless communication to address the above issues, and elaborate its reflection and channel models, hardware architecture and practical constraints  ...  In fact, it is a non-deterministic polynomial-time hard (NP-hard) problem with respect to N and thus it is impossible to obtain the optimal solution to (P3) with polynomial complexity of N .  ... 
arXiv:2007.02759v2 fatcat:tp3ephs5hzhdva4h3s3e6tpkgi

A Tutorial on Distance Metric Learning: Mathematical Foundations, Algorithms, Experimental Analysis, Prospects and Challenges (with Appendices on Mathematical Background and Detailed Algorithms Explanation) [article]

Juan Luis Suárez-Díaz, Salvador García, Francisco Herrera
2020 arXiv   pre-print
This tutorial will serve as a starting point in the domain of distance metric learning from both a theoretical and practical perspective.  ...  This tutorial provides a theoretical background and foundations on this topic and a comprehensive experimental analysis of the most-known algorithms.  ...  This function is differentiable and concave (it is a positive combination of functions that can be expressed as a minus log-sum-exp function, which is concave), so we have a convex maximization problem  ... 
arXiv:1812.05944v3 fatcat:6mp2bpohgng4naf6ewvuydjurq

A tutorial on convex optimization II: duality and interior point methods

H. Hindi
2006 2006 American Control Conference  
The material in this tutorial is excerpted from the recent book on convex optimization, by Boyd and Vandenberghe, who have made available a large amount of free course material and freely available software  ...  In recent years, convex optimization has become a computational tool of central importance in engineering, thanks to its ability to solve very large, practical engineering problems reliably and efficiently  ...  This will be our main reference in this tutorial. I am deeply indebted to the authors, for generously allowing me to use their material in preparing this tutorial.  ... 
doi:10.1109/acc.2006.1655436 fatcat:drt4wlyj7fcmjg7gpzvqbvrodm

A tutorial on multiobjective optimization: fundamentals and evolutionary methods

Michael T. M. Emmerich, André H. Deutz
2018 Natural Computing  
This tutorial will review some of the most important fundamentals in multiobjective optimization and then introduce representative algorithms, illustrate their working principles, and discuss their application  ...  In addition, the tutorial will discuss statistical performance assessment. Finally, it highlights recent important trends and closely related research fields.  ...  reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.  ... 
doi:10.1007/s11047-018-9685-y pmid:30174562 pmcid:PMC6105305 fatcat:7ienhqr3jzheth6a3y7ycvtt4q

A tutorial on cross-layer optimization in wireless networks

Xiaojun Lin, N.B. Shroff, R. Srikant
2006 IEEE Journal on Selected Areas in Communications  
This tutorial paper overviews recent developments in optimization based approaches for resource allocation problems in wireless systems.  ...  We demonstrate how to use imperfect scheduling in the crosslayer framework and describe recently developed distributed algorithms along these lines.  ...  In this tutorial, we will see a few examples where tools from convex programming, combinatorial optimization, stochastic stability, graph theory, large deviations, and heavytraffic limits are used to obtain  ... 
doi:10.1109/jsac.2006.879351 fatcat:ywvdycl4ovhopbbtrnq6epwjqa

An Introductory Tutorial on Stochastic Linear Programming Models

Suvrajeet Sen, Julia L. Higle
1999 Interfaces  
In all cases, we begin with a deterministic LP model and show how it can be adapted to include the impact of uncertainty.  ...  The examples involve models developed for airline yield management, telecommunications, flood control, and production planning.  ...  Acknowledgment This work was supported in part by Grant No. NSF-DMII-9414680 from the National Science Foundation.  ... 
doi:10.1287/inte.29.2.33 fatcat:jmjcyne6ardtpoiu5bssbc5v2i
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