196,966 research outputs found

    Better Sparsifiers for Directed Eulerian Graphs

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    Spectral sparsification for directed Eulerian graphs is a key component in the design of fast algorithms for solving directed Laplacian linear systems. Directed Laplacian linear system solvers are crucial algorithmic primitives to fast computation of fundamental problems on random walks, such as computing stationary distributions, hitting and commute times, and personalized PageRank vectors. While spectral sparsification is well understood for undirected graphs and it is known that for every graph G, (1+ε)-sparsifiers with O(nε^{-2}) edges exist [Batson-Spielman-Srivastava, STOC '09] (which is optimal), the best known constructions of Eulerian sparsifiers require Ω(nε^{-2}log⁴ n) edges and are based on short-cycle decompositions [Chu et al., FOCS '18]. In this paper, we give improved constructions of Eulerian sparsifiers, specifically: 1) We show that for every directed Eulerian graph G→, there exists an Eulerian sparsifier with O(nε^{-2} log² n log²log n + nε^{-4/3}log^{8/3} n) edges. This result is based on combining short-cycle decompositions [Chu-Gao-Peng-Sachdeva-Sawlani-Wang, FOCS '18, SICOMP] and [Parter-Yogev, ICALP '19], with recent progress on the matrix Spencer conjecture [Bansal-Meka-Jiang, STOC '23]. 2) We give an improved analysis of the constructions based on short-cycle decompositions, giving an m^{1+δ}-time algorithm for any constant δ > 0 for constructing Eulerian sparsifiers with O(nε^{-2}log³ n) edges

    Biologic Treatment Outcomes in Refractory Eosinophilic Fasciitis: A Systematic Review of Published Reports

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    Eosinophilic fasciitis (EF) is a rare disorder characterized by soft tissue edema, skin erythema and induration, which may progress to fascial fibrosis, and predominantly affects the arms, legs and trunk. While oral corticosteroids are first line therapy, biologic therapies have been reported in refractory EF. This systematic review summarizes treatment outcomes of biologic therapies for EF

    Development of Dermatomyositis in Patients on Biologic Therapy: A Systematic Review

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    The supplemental files provide information on the cases detailing the development of dermatomyositis in patients on biologic therapy

    Biologic Treatment in Pediatric Stevens-Johnson Syndrome/Toxic Epidermal Necrolysis: A Systematic Review

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    EMBASE and MEDLINE searches for e-published and in-print studies were conducted on June 16, 2020 using PRISMA guidelines with predetermined keywords (Supplemental File-1). Supplemental File 2 shows the raw data collected from each included study

    Deep sequential modeling for recommendation

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    We propose a model which extends variational autoencoders by exploiting the rich information present in the past preference history. We introduce a recurrent version of the VAE, where instead of passing a subset of the whole history regardless of temporal dependencies, we rather pass the consumption sequence subset through a recurrent neural network. At each time-step of the RNN, the sequence is fed through a series of fully-connected layers, the output of which models the probability distribution of the most likely future preferences. We show that handling temporal information is crucial for improving the accuracy of recommendation

    Dr. Duane M. Jackson, Morehouse College, July 2011

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    This video is a conversation with Dr. Duane M. Jackson. Dr. Jackson talks about his paper, "Recall and the Serial Position Effect: The Role of Primacy and Recency on Accounting Students' Performance." Jackie Daniel, AUC Woodruff Library, is the interviewer

    Nanosheets of Nonlayered Aluminum Metal-Organic Frameworks through a Surfactant-Assisted Method

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    B.S. gratefully acknowledges the Netherlands National Science Foundation (NWO) for her personal VENI grant. J.G. gratefully acknowledges the ERC Grant Agreement no. 335746, CrystEng-MOF-MMM. The authors also thank Mr. Duco Bosma and Mr. Bart Boshuizen from TU Delft for technical and LABVIEW support and Dr. Dimitri Soccol and Prof. Dirk J. Gravesteijn for providing us with the transducer platforms. I.K.V. acknowledges the Netherlands Organisation for Scientific Research (NWO ECHO-STIP Grant 717.013.005, NWOVIDI Grant 723.014.006) and the Dutch Ministry of Education, Culture and Science (Gravity Program 024.001.035) for financial support.Pustovarenko, A., Goesten, M.G., Sachdeva, S., Shan, M., Amghouz, Z., Belmabkhout, Y., Dikhtiarenko, A., Rodenas, T., Keskin, D., Voets, I.K., Weckhuysen, B.M., Eddaoudi, M., de Smet, L.C.P.M., Sudhölter, E.J.R., Kapteijn, F., Seoane, B., Gascon, J

    "Reflections on the subject of Emigration from Europe with a view to Settlement in the United States" By M. Carey.

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    "Reflections on the subject of Emigration from Europe with a view to Settlement in the United States: containing bried sketches of the moral and political character of those states. By M. Carey, member of the American philosophical, and of the American Antiquarian Society, and author of The Olive Branch, Cindiciae Hibernicae, essays on banking, on political economy, and on internal improvement. To which are now added the English editor's comments on the subject; together with Important Advice to Emigrants, and Cautions Against Impositions Practiced in the Outports

    sj-pdf-1-nro-10.1177_10738584221145570 – Supplemental material for Mapping the Iceberg of Autonomic Recovery: Mechanistic Underpinnings of Neuromodulation following Spinal Cord Injury

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    Supplemental material, sj-pdf-1-nro-10.1177_10738584221145570 for Mapping the Iceberg of Autonomic Recovery: Mechanistic Underpinnings of Neuromodulation following Spinal Cord Injury by Soshi Samejima, Claire Shackleton, Tiev Miller, Chet T. Moritz, Thomas M. Kessler, Klaus Krogh, Rahul Sachdeva and Andrei V. Krassioukov in The Neuroscientist</p

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods
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