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Generalized Guerra's interpolation schemes for dense associative neural networks [article]

Elena Agliari, Francesco Alemanno, Adriano Barra, Alberto Fachechi
<span title="2020-04-16">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
of the) cost function includes p-body (i.e., of degree p) contributions.  ...  In this work we develop analytical techniques to investigate a broad class of associative neural networks set in the high-storage regime.  ...  By keeping only leading order terms for every order parameter we write K = 1 √ 1 + λX , (5.20) X = αp(1 −q) + α 1 − Kβ(1 −q) = α 1 − βK + O(q 2 ), (5.21) q = E y tanh 2 y Kαβp = Kαβp + O(p 2 ), (5.22)  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1911.12707v2">arXiv:1911.12707v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gzebjddkkjetnkwtkzvqor5wiq">fatcat:gzebjddkkjetnkwtkzvqor5wiq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200421042744/https://arxiv.org/pdf/1911.12707v2.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] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1911.12707v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Generalized Guerra's interpolation schemes for dense associative neural networks

Elena Agliari, Francesco Alemanno, Adriano Barra, Alberto Fachechi
<span title="2020-05-20">2020</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/oml24fsyizfuhn3rn5np75ubdi" style="color: black;">Neural Networks</a> </i> &nbsp;
of the) cost function includes p-body (i.e., of degree p) contributions.  ...  In this work we develop analytical techniques to investigate a broad class of associative neural networks set in the high-storage regime.  ...  The spin-glass phase (SG) is instead given by m = 0 but non vanishing Edward-Anderson parameter q.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.neunet.2020.05.009">doi:10.1016/j.neunet.2020.05.009</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/32454370">pmid:32454370</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3tlqmn5odre73ovm5oem66sine">fatcat:3tlqmn5odre73ovm5oem66sine</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210428031326/https://iris.uniroma1.it/retrieve/handle/11573/1399165/1446485/Agliari_Generalized-guerra%27s-interpolation_2020.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/15/86/158641fc9acb8c43e42d9a84756967763ef0bc42.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.neunet.2020.05.009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Covariant q-Differential Calculus and its Deformations at q^N=1 [article]

R. Kerner, B. Niemeyer
<span title="2000-04-26">2000</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Finally we briefly discuss the idea of infinitesimal deformations of the parameter q in the complex plane.  ...  Here our main purpose is to establish the recurrence formulae for the N-th power of covariant q-differential D_q = d_q + A and to analyze more closely the particular case of q being an Nth primitive root  ...  Le Roy. covdiffz.tex -Date: February 1, 2008 Time: 5:34 Covariant q-differential Calculus and its Deformations at q N = 1  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/math/0004165v1">arXiv:math/0004165v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jirzhm3bvbcvld5lbac4r6nioi">fatcat:jirzhm3bvbcvld5lbac4r6nioi</a> </span>
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Bottom and charm mass determinations from global fits to Q Q ¯ $$ Q\overline{Q} $$ bound states at N3LO

Vicent Mateu, Pablo G. Ortega
<span title="">2018</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f77v2fl37rdyrodjisfjo6jbee" style="color: black;">Journal of High Energy Physics</a> </i> &nbsp;
Finally, we perform simultaneous fits for m_b and α_s finding α_s^(n_f=5)(m_Z)=0.1178± 0.0051.  ...  We carry out our analysis in the n_ℓ = 3 and n_ℓ = 4 schemes and conclude that, as long as finite m_c effects are smoothly incorporated in the MSR mass definition, the difference between the two schemes  ...  We thank Antonio Pineda for comments on the draft and Pedro Ruiz Femenía for useful discussions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/jhep01(2018)122">doi:10.1007/jhep01(2018)122</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hv5xhcbb5ndfzfesycysrer65y">fatcat:hv5xhcbb5ndfzfesycysrer65y</a> </span>
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Perfect state transfer of a qudit over underlying networks of group association schemes

M A Jafarizadeh, R Sufiani, S F Taghavi, E Barati
<span title="2009-04-06">2009</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/o3oboaa6vjee5ismb4vsvaui2a" style="color: black;">Journal of Statistical Mechanics: Theory and Experiment</a> </i> &nbsp;
Also it is explained how one can manipulate most of the non-decomposable linear and nonlinear three qubits entanglement witnesses appearing in some of the papers published by us and other authors, by the  ...  This approach is completely general and can be applied for the entanglement detection of any N-partite quantum system.  ...  them vanishes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1742-5468/2009/04/p04004">doi:10.1088/1742-5468/2009/04/p04004</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mxootlon3zh4hcaquviidz34lq">fatcat:mxootlon3zh4hcaquviidz34lq</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-0901.4510/0901.4510.pdf" title="fulltext PDF download [not primary version]" 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> File Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/66/c9/66c9f61d3a5895bb8c8198e43332655a6fe43e8d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1742-5468/2009/04/p04004"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> iop.org </button> </a>

Character tables of certain association schemes coming from finite unitary and symplectic groups

Eiichi Bannai, Sung-Yell Song, Shen Hao, Hongzeng Wei
<span title="">1991</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/h7qx4qsc2zf7hiupv27dke5fk4" style="color: black;">Journal of Algebra</a> </i> &nbsp;
It is shown that these character tables are controlled by the character tables of corresponding smaller association schemes which are obtained from the action of the group PGL(2, q) on the cosets by cyclic  ...  In this paper we study the character tables of the association schemes obtain from the action of (i) finite unitary groups acting on the set of nonisotropic projective points, and (ii) finite symplectic  ...  For more information on this association scheme and its parameters, we refer to [9] . 1.2. The Parameters pt of the Association Scheme !E(GU(n, q2), Q) for n >, 3 The intersection numbers p$ of !  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0021-8693(91)90135-u">doi:10.1016/0021-8693(91)90135-u</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y2mh7jwofvaspbredrzbwrq7qe">fatcat:y2mh7jwofvaspbredrzbwrq7qe</a> </span>
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q-quaternions and q-deformed su(2) instantons

Gaetano Fiore
<span title="">2007</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nwwheyjjk5hnlmj6q5mtpqmmhi" style="color: black;">Journal of Mathematical Physics</a> </i> &nbsp;
algebra on the latter as a q-quaternion bialgebra.  ...  We construct (anti)instanton solutions of a would-be q-deformed su(2) Yang-Mills theory on the quantum Euclidean space R 4 q [the SO q (4)-covariant noncommutative space] by reinterpreting the function  ...  A sufficient condition for F to be selfdual is that the expression in the square bracket vanishes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.2793572">doi:10.1063/1.2793572</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ksrrxtmxd5dpnenotjr2izdexa">fatcat:ksrrxtmxd5dpnenotjr2izdexa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180725183734/http://cds.cern.ch/record/935742/files/0603138.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/7b/25/7b25bbb790892edb178e5b66d540fa4449d58b06.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.2793572"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Error estimates for finite difference schemes associated with Hamilton-Jacobi equations on a junction [article]

Jessica Guerand, Marwa Koumaiha
<span title="2017-06-06">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This paper is concerned with monotone (time-explicit) finite difference schemes associated with first order Hamilton-Jacobi equations posed on a junction.  ...  On the one hand, we prove the convergence of the numerical solution towards the viscosity solution of the Hamilton-Jacobi equation as the mesh size tends to zero for general junction conditions.  ...  The authors acknowledge Cyril Imbert for his expert advice and encouragement throughout working on this research paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1502.07158v2">arXiv:1502.07158v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xewljju2j5gwliooaid2h3rxpu">fatcat:xewljju2j5gwliooaid2h3rxpu</a> </span>
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q-Deformed nonlinear maps

Ramaswamy Jaganathan, Sudeshna Sinha
<span title="">2005</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2p4i6z6rpfhwzpwiqtbnkddl3q" style="color: black;">Pramana (Bangalore)</a> </i> &nbsp;
A scheme of q-deformation of nonlinear maps is introduced. As a specific example, a q-deformation procedure related to the Tsallis q-exponential function is applied to the logistic map.  ...  in one dimensional maps.  ...  One can also study the q-deformations of maps following other deformation schemes, like based on (1) or (5) .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/bf02704567">doi:10.1007/bf02704567</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/j5uqdwwwfjchfn7fg6kwuxwhcy">fatcat:j5uqdwwwfjchfn7fg6kwuxwhcy</a> </span>
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Diffractive broadband coupling into high-Q resonant cavities

Hongtao Lin, Xiaochen Sun, Jifeng Liu, Juejun Hu
<span title="2015-05-14">2015</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tjz57sbghnbv7oxjartzii6rwu" style="color: black;">Optics Letters</a> </i> &nbsp;
Optical resonators with high-quality factors (Q-factor) constitute the main building block for many photonic devices capitalizing on light-matter interactions, ranging from light emitters to biochemical  ...  Here we propose and numerically analyze a generic coupling scheme to overcome the apparent trade-off.  ...  In general, the strength of resonant cavity enhancement is characterized by two parameters: quality factor (Q-factor or Q) and finesse.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.40.002377">doi:10.1364/ol.40.002377</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26393744">pmid:26393744</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tlertgsy4febdezak7bkd4li2e">fatcat:tlertgsy4febdezak7bkd4li2e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160107053954/http://web.mit.edu/~hujuejun/www/My%20Papers/Journal%20Papers/Diffractive%20broadband%20coupling%20into%20high-Q%20resonant%20cavities.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/20/91/209183bf9f39d9a5474eeb332407673d9be48cd2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.40.002377"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

THE TOPOLOGICAL q-EXPANSION PRINCIPLE

Gerd Laures
<span title="">1999</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jinclcgdtbhstao347on5p4j2m" style="color: black;">Topology</a> </i> &nbsp;
We show that, under certain exactness conditions, the integrality of elliptic objects is completely controlled by their characters.  ...  Imitating the classical q-expansion principle we use the elliptic character map to develop the relation between elements in elliptic cohomology and their q-series in K-theory.  ...  In Appendix A we have chosen parameters such that the exponentials f in these charts take the explicit form f (z)" !2p(z, )/p(z, ) for N"1 (z, ) (!2 i/N, ) (z!(2 i/N), ) for N*2.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0040-9383(98)00019-6">doi:10.1016/s0040-9383(98)00019-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g7eyxwojhvc45goi7hve2cmxf4">fatcat:g7eyxwojhvc45goi7hve2cmxf4</a> </span>
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Discrete, q-difference deformations of associative algebras and integrable systems [article]

B.G.Konopelchenko
<span title="2008-09-11">2008</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Discrete and q-difference deformations of the structure constants for a class of associative noncommutative algebras are studied.  ...  It is shown that these deformations are governed by a central system of discrete or q-difference equations which in particular cases represent discrete and q-difference versions of the oriented associativity  ...  associativity condition [C j , C k ] = 0 is not preserved for all values of the deformation parameters.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0809.1938v1">arXiv:0809.1938v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/oyqctytjxvbkjgo7mcdv63t3rm">fatcat:oyqctytjxvbkjgo7mcdv63t3rm</a> </span>
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Error estimates for a finite difference scheme associated with Hamilton–Jacobi equations on a junction

Jessica Guerand, Marwa Koumaiha
<span title="2019-05-17">2019</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/efryqrcvkzhfxdvy4uymtgkbfm" style="color: black;">Numerische Mathematik</a> </i> &nbsp;
This paper is concerned with monotone (time-explicit) finite difference scheme associated with first order Hamilton-Jacobi equations posed on a junction.  ...  On the other hand, we derive some optimal error estimates of in L ∞ loc for junction conditions of optimal-control type.  ...  Acknowledgements The authors acknowledge Cyril Imbert for his expert advice and encouragement throughout working on this research paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00211-019-01043-9">doi:10.1007/s00211-019-01043-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bauneuvbmvchthelzbdmhn7hq4">fatcat:bauneuvbmvchthelzbdmhn7hq4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200325195715/https://link.springer.com/content/pdf/10.1007%2Fs00211-019-01043-9.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/23/91/2391d270d2e5cfc58b1fba8026a92cd79f11bf6b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00211-019-01043-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Decays of J/ψ and ψ′ into vector and pseudoscalar mesons and the pseudoscalar glueball–q\bar{q} mixing

Gang Li, Qiang Zhao, Chao-Hsi Chang
<span title="2008-03-19">2008</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hes3ux6fhndvtireha6b22fi5q" style="color: black;">Journal of Physics G: Nuclear and Particle Physics</a> </i> &nbsp;
With the up-to-date experimental data for J/ψ(ψ^')→ VP, J/ψ(ψ^')→γ P and P→γγ, etc, we arrive at a consistent description of the mentioned processes with a minimal set of parameters.  ...  We introduce a parametrization scheme for J/ψ(ψ^')→ VP where the effects of SU(3) flavor symmetry breaking and doubly OZI-rule violation (DOZI) can be parametrized by certain parameters with explicit physical  ...  One predominant feature is that in all the schemes, parameter g J/ψ(ψ ′ ) is found to have overall consistent values for both J/ψ and ψ ′ .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0954-3899/35/5/055002">doi:10.1088/0954-3899/35/5/055002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pb4fsktxazbxpc2lmm3gqw3u3q">fatcat:pb4fsktxazbxpc2lmm3gqw3u3q</a> </span>
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Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups GL[sub q](N), SO[sub q](N), and Sp[sub q](N)

A. Chakrabarti, R. Chakrabarti
<span title="">2003</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nwwheyjjk5hnlmj6q5mtpqmmhi" style="color: black;">Journal of Mathematical Physics</a> </i> &nbsp;
Modified braid equations satisfied by generalized R̂ matrices (for a given set of group relations obeyed by the elements of T matrices ) are constructed for q-deformed quantum groups GL_q (N), SO_q (N)  ...  Applications of such diagonalization are then studied in the context of associated covariantly quantized noncommutative spaces.  ...  For the 'braid values' of the parameters v = v ′ = v ′′ = −(1 + q −2 ), w = w ′ = w ′′ = −(1 − εq −(N +1−ε) ) (3.3) the right hand side of (3.2) vanishes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1530370">doi:10.1063/1.1530370</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3wtru4dk2ffttmnrk5lqesepnu">fatcat:3wtru4dk2ffttmnrk5lqesepnu</a> </span>
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