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An Importance Sampling Scheme on Dual Factor Graphs. I. Models in a Strong External Field [article]

Mehdi Molkaraie
<span title="2015-02-05">2015</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The proposed scheme operates in the dual Forney factor graph and is capable of efficiently computing an estimate of the partition function under a wide range of model parameters.  ...  We propose an importance sampling scheme to estimate the partition function of the two-dimensional ferromagnetic Ising model and the two-dimensional ferromagnetic q-state Potts model, both in the presence  ...  AN IMPORTANCE SAMPLING SCHEME ON DUAL FACTOR GRAPHS We describe our importance sampling scheme on the modified dual Forney factor graph of the 2D Ising model in an external field shown in Fig. 3 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1401.4912v5">arXiv:1401.4912v5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/aqzbnyb22rg4zbofj2pbfjmumi">fatcat:aqzbnyb22rg4zbofj2pbfjmumi</a> </span>
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An importance sampling scheme for models in a strong external field

Mehdi Molkaraie
<span title="">2015</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ux5tf45dtrgptnezraiii73msm" style="color: black;">2015 IEEE International Symposium on Information Theory (ISIT)</a> </i> &nbsp;
The estimation is done in the dual of the Forney factor graph representing the model.  ...  The proposed methods can efficiently compute an estimate of the partition function in a wide range of model parameters. As an example, we consider models that are in a strong external field.  ...  APPENDIX II ANNEALED IMPORTANCE SAMPLING IN THE DUAL FORNEY FACTOR GRAPH We briefly explain how to employ annealed importance sampling [15] in the dual factor graph to estimate the partition function  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/isit.2015.7282641">doi:10.1109/isit.2015.7282641</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/isit/Molkaraie15.html">dblp:conf/isit/Molkaraie15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/isxg5mh5yfd6xm27sp3uborzei">fatcat:isxg5mh5yfd6xm27sp3uborzei</a> </span>
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Monte Carlo Methods for the Ferromagnetic Potts Model Using Factor Graph Duality [article]

Mehdi Molkaraie, Vicenc Gomez
<span title="2018-11-23">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We propose Monte Carlo methods (uniform sampling and importance sampling) in the dual normal factor graph, and demonstrate that they behave differently: they work particularly well at low temperatures.  ...  For the ferromagnetic Ising model in an external field, we show the equivalence between the valid configurations in the dual normal factor graph and the terms that appear in the high-temperature series  ...  The authors would like to thank David Forney, Pascal Vontobel, Justin Dauwels, Alistair Sinclair, and Stefan Moser for their helpful comments on an earlier draft of this manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1506.07044v4">arXiv:1506.07044v4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/frz3gwzvwnbwpmpg6rvevyi6wy">fatcat:frz3gwzvwnbwpmpg6rvevyi6wy</a> </span>
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Monte Carlo Methods for the Ferromagnetic Potts Model Using Factor Graph Duality

Mehdi Molkaraie, Vicenc Gomez
<span title="">2018</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/niovmjummbcwdg4qshgzykkpfu" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
We propose Monte Carlo methods (uniform sampling and importance sampling) in the dual normal factor graph, and demonstrate that they behave differently: they work particularly well at low temperatures.  ...  For the ferromagnetic Ising model in an external field, we show the equivalence between the valid configurations in the dual normal factor graph and the terms that appear in the high-temperature series  ...  The authors would like to thank David Forney, Pascal Vontobel, Justin Dauwels, Alistair Sinclair, and Stefan Moser for their helpful comments on an earlier draft of this manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2018.2857565">doi:10.1109/tit.2018.2857565</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iglrt57st5at3fha5aux62b64e">fatcat:iglrt57st5at3fha5aux62b64e</a> </span>
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Melting and rippling phenomena in two-dimensional crystals with localized bonding

D. J. Priour, James Losey
<span title="2010-06-09">2010</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lqjgbsoa65gghi2p2esulcqqqm" style="color: black;">Physical Review B</a> </i> &nbsp;
We take into account fluctuations perpendicular to the lattice plane, manifest as undulating ripples, by examining dual layer systems with coupling between the layers to impart local rigidly (i.e. as in  ...  We consider an attractive coupling to a flat substrate, finding that even a weak attraction significantly limits the amplitude and average wavelength of the ripples.  ...  in the case of the dual-layer square system with an extended coupling scheme.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevb.81.214302">doi:10.1103/physrevb.81.214302</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/o5k2bawcwbgzhmlzlkf7owcdku">fatcat:o5k2bawcwbgzhmlzlkf7owcdku</a> </span>
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Dual-constrained Deep Semi-Supervised Coupled Factorization Network with Enriched Prior [article]

Yan Zhang, Zhao Zhang, Yang Wang, Zheng Zhang, Li Zhang, Shuicheng Yan, Meng Wang
<span title="2021-09-07">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper, we technically propose a new enriched prior based Dual-constrained Deep Semi-Supervised Coupled Factorization Network, called DS2CF-Net, for learning the hierarchical coupled representations  ...  Our network also integrates the adaptive dual-graph learning to retain the local manifold structures of both the data manifold and feature manifold by minimizing the reconstruction errors in each layer  ...  (LCCF) [7] , Graph-Regularized CF with Local Coordinate (LGCF) [9] , Dual Regularization NMF (DNMF) [12] and Dual-graph regularized CF (GCF) [13] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2009.03714v2">arXiv:2009.03714v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fwa2ojfpyjdcrmcm3oidf5v44a">fatcat:fwa2ojfpyjdcrmcm3oidf5v44a</a> </span>
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Terahertz response of fractal meta-atoms based on concentric rectangular square resonators

Zhiqiang Song, Zhenyu Zhao, Wei Peng, Wangzhou Shi
<span title="2015-11-21">2015</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cx63fwaifnhdtbqbjlraxrufii" style="color: black;">Journal of Applied Physics</a> </i> &nbsp;
Lett. 102, 161912 (2013); 10.1063/1.4803048 Dual-band terahertz metamaterials based on nested split ring resonators We study strong light-matter coupling at terahertz frequencies employing a system based  ...  on an array of deeply subwavelength split ring resonators deposited on top of an ensemble of modulation-doped quantum wells.  ...  II.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4936217">doi:10.1063/1.4936217</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pejnkntcdvcpfjunbix4wf6n4e">fatcat:pejnkntcdvcpfjunbix4wf6n4e</a> </span>
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Kernel spectral clustering for community detection in complex networks

Rocco Langone, Carlos Alzate, Johan A. K. Suykens
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qm5nunzmyva4tfjekdcm34uvhq" style="color: black;">The 2012 International Joint Conference on Neural Networks (IJCNN)</a> </i> &nbsp;
Finally, we compare our model with the Nyström method, showing that our approach is better in terms of quality of the discovered partitions and needs less computation time.  ...  We use a model selection procedure based on the modularity statistic which is novel, because modularity is commonly used only at a training level.  ...  In this way, the clustering model can be trained, validated and tested in an unsupervised learning scheme. Finally, a new notion regarding the out-of-sample points has been introduced in [13] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/ijcnn.2012.6252726">doi:10.1109/ijcnn.2012.6252726</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/ijcnn/LangoneAS12.html">dblp:conf/ijcnn/LangoneAS12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vtzvesp3nvetppawtxcrrntqpm">fatcat:vtzvesp3nvetppawtxcrrntqpm</a> </span>
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Machine learning spatial geometry from entanglement features

Yi-Zhuang You, Zhao Yang, Xiao-Liang Qi
<span title="2018-01-31">2018</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/b7jx7xdhxncvtj2nb24xhplinq" style="color: black;">Physical review B</a> </i> &nbsp;
We develop a concrete algorithm, call the entanglement feature learning (EFL), based on the random tensor network (RTN) model for the tensor network holography.  ...  Motivated by the close relations of the renormalization group with both the holography duality and the deep learning, we propose that the holographic geometry can emerge from deep learning the entanglement  ...  Acknowledgments The authors would like to acknowledge the helpful discussions with Pan Zhang, Yanran Li, and Roger Melko.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevb.97.045153">doi:10.1103/physrevb.97.045153</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/54dkvdov6bffbl642ovz63bs5i">fatcat:54dkvdov6bffbl642ovz63bs5i</a> </span>
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Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory: Convergence analysis of the dual fermion technique

Jan Gukelberger, Evgeny Kozik, Hartmut Hafermann
<span title="2017-07-28">2017</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/b7jx7xdhxncvtj2nb24xhplinq" style="color: black;">Physical review B</a> </i> &nbsp;
In this work we compute the dual-fermion expansion for the two-dimensional Hubbard model including all diagram topologies with two-particle interactions to high orders by means of a stochastic diagrammatic  ...  The dual-fermion approach provides a formally exact prescription for calculating properties of a correlated electron system in terms of a diagrammatic expansion around dynamical mean-field theory (DMFT  ...  At strong coupling the result compares significantly worse with our exact benchmarks than the original one obtained from Eq.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevb.96.035152">doi:10.1103/physrevb.96.035152</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bxezt7evsncj5dtiwswt5svkse">fatcat:bxezt7evsncj5dtiwswt5svkse</a> </span>
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Distributed Optimization for Smart Cyber-Physical Networks [article]

Giuseppe Notarstefano, Ivano Notarnicola, Andrea Camisa
<span title="2019-07-25">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
An analysis of the basic schemes is supplied, and state-of-the-art extensions are reviewed.  ...  The purpose of this survey is to provide an introduction to distributed optimization methodologies.  ...  Given the dual function q, an important property is as follows.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1906.10760v2">arXiv:1906.10760v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/675nipdm4vculhi7a5kxtdr3ka">fatcat:675nipdm4vculhi7a5kxtdr3ka</a> </span>
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A Survey on Concept Factorization: From Shallow to Deep Representation Learning [article]

Zhao Zhang, Yan Zhang, Mingliang Xu, Li Zhang, Yi Yang, Shuicheng Yan
<span title="2021-01-31">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
explanatory factors from exiting studies.  ...  of CF and find the most appropriate CF techniques to deal with particular applications.  ...  For the data matrix X , one can construct a graph with N vertices where each vertex corresponds to a sample.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2007.15840v3">arXiv:2007.15840v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ahun2mogmfapxe4mqhqlsakyku">fatcat:ahun2mogmfapxe4mqhqlsakyku</a> </span>
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Distributed Event-Triggered Communication Scheme for Economic Dispatch Problem in Power System with Uncoordinated Step-Sizes

Yuming Feng, Wei Zhang, Jiang Xiong, Huaqing Li
<span title="">2020</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q7qi7j4ckfac7ehf3mjbso4hne" style="color: black;">IEEE Access</a> </i> &nbsp;
INDEX TERMS Distributed convex optimization, event-triggered scheme, primal-dual algorithm, linear convergence rate, power system.  ...  sampling time instants.  ...  The model of the paper is relatively simple and does not take some practical factors into consideration.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2020.2978087">doi:10.1109/access.2020.2978087</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/o7fndcf74fbcfo5fyzbra4jbii">fatcat:o7fndcf74fbcfo5fyzbra4jbii</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201108084132/https://ieeexplore.ieee.org/ielx7/6287639/8948470/09022878.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2c/b0/2cb027a8ca0fd2b338851f38dc2b869eafea03f2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2020.2978087"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> ieee.com </button> </a>

SRR-LGR: Local–Global Information-Reasoned Social Relation Recognition for Human-Oriented Observation

Linbo Qing, Lindong Li, Yuchen Wang, Yongqiang Cheng, Yonghong Peng
<span title="2021-05-21">2021</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kay2tsbijbawliu45dnhvyvgsq" style="color: black;">Remote Sensing</a> </i> &nbsp;
The scene information in which people interact is also one of the important cues for social relation recognition (SRR).  ...  People's interactions with each other form the social relations in society. Understanding human social relations in the public space is of great importance for supporting the public administrations.  ...  In addition, although data augmentation was adopted to alleviate the data imbalance, the samples of the class friend were still too many compared with family and couple samples-one of the reasons for the  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/rs13112038">doi:10.3390/rs13112038</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xbdcbejxdjcizbef6xuuytd5xm">fatcat:xbdcbejxdjcizbef6xuuytd5xm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210605062929/https://res.mdpi.com/d_attachment/remotesensing/remotesensing-13-02038/article_deploy/remotesensing-13-02038.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b7/82/b78207b26762091f01f978f33667059d07fe192e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/rs13112038"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Sparse semi-supervised learning on low-rank kernel

Kai Zhang, Qiaojun Wang, Liang Lan, Yu Sun, Ivan Marsic
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bby322qx6ndsje4ypr56c7nnly" style="color: black;">Neurocomputing</a> </i> &nbsp;
In this paper, we introduce L 1 -norm penalization on the low-rank factorized kernel for efficient, globally optimal model selection in graph-based semi-supervised learning.  ...  of penalizing model complexity, in contrast to some current endeavors that pre-determine the basis without coupling it with the learning task.  ...  This indicates a strong non-smoothness (for a reasonably large λ 1 ) for which conventional sampling schemes would fail to accommodate.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.neucom.2013.09.033">doi:10.1016/j.neucom.2013.09.033</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2ukch2jzh5eupa6fmgm2pn6b54">fatcat:2ukch2jzh5eupa6fmgm2pn6b54</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809085840/https://astro.temple.edu/~tua86772/zhang13NeuroComp.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/99/b3/99b38c45d977864d30a122534da336f20751419a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.neucom.2013.09.033"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>
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