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Clinical Nutrition ESPEN 2024年 63卷 1119-1119页

作者： Nurkolis, F. Kurniawan, R. Basrowi, R.W. Sundjaya, T. Taslim, N.A. Hardinsyah, H. Tjandrawinata, R.R. Tallei, T.E. Kim, B. Tsopmo, A. Department of Biological Sciences Faculty of Sciences and Technology State Islamic University of Sunan Kalijaga (UIN Sunan Kalijaga) Yogyakarta Editorial Board of Journal of Indonesian Specialized Nutrition Jakarta Graduate from School of Medicine Faculty of Medicine Hasanuddin University Makassar Diabetes Connection Care Eka Hospital Bumi Serpong Damai Tangerang Magister Occupational Medicine Department of Community Medicine Faculty of Medicine Universitas Indonesia Indonesia Health Collaborative Center (HCC) Jakarta Indonesia Departement of Epidemiology Faculty of Public Health Universitas Indonesia Jakarta Division of Clinical Nutrition Department of Nutrition Faculty of Medicine Hasanuddin University Makassar Division of Applied Nutrition Faculty of Human Ecology Department of Community Nutrition IPB University Bogor Biotechnology Faculty of Biotechnology Atma Jaya Catholic University of Indonesia Jakarta Biology Faculty of Mathematics and Natural Sciences Universitas Sam Ratulangi Manado Indonesia Pathology College of Korean Medicine Kyung Hee University Seoul Republic Of Korea Food Science and Nutrition Program Department of Chemistry Carleton University Ottawa Canada

Numerical integration on graphs: Where to sample and how to weigh

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arXiv 2018年

作者： Linderman, George C. Steinerberger, Stefan Program in Applied Mathematics Yale University New HavenCT06511 United States Department of Mathematics Yale University New HavenCT06511 United States

Let G = (V, E, w) be a finite, connected graph with weighted edges. We are interested in the problem of finding a subset W ⊂ V of vertices and weights aw such that |V1| vX∈V f(v) ∼ X awf(w) w∈W for functions f : V → R that are ‘smooth’ with respect to the geometry of the graph. The main application are problems where f is known to somehow depend on the underlying graph but is expensive to evaluate on even a single vertex. We prove an inequality showing that the integration problem can be rewritten as a geometric problem (‘the optimal packing of heat balls’). We discuss how one would construct approximate solutions of the heat ball packing problem;numerical examples demonstrate the efficiency of the method. Copyright © 2018, The Authors. All rights reserved.

关键词： Graph theory

Plane-wave analysis of a hyperbolic system of equations with relaxation in Rd

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arXiv 2018年

作者： de Hoop, Maarten V. Liu, Jian-Guo Markowich, Peter A. Ussembayev, Nail S. Department of Computational and Applied Mathematics Rice University HoustonTX77005 United States Department of Mathematics Department of Physics Duke University DurhamNC27708 United States Applied Mathematics and Computer Science Program CEMSE Division King Abdullah University of Science and Technology Thuwal23955-6900 Saudi Arabia Faculty of Mathematics University of Vienna ViennaA-1090 Austria Applied Mathematics and Computer Science Program CEMSE Division King Abdullah University of Science and Technology Thuwal23955-6900 Saudi Arabia

We consider a multi-dimensional scalar wave equation with memory corresponding to the viscoelastic material described by a generalized Zener model. We deduce that this relaxation system is an example of a non-strictly hyperbolic system satisfying Majda's block structure condition. Well-posedness of the associated Cauchy problem is established by showing that the symbol of the spatial derivatives is uniformly diagonalizable with real eigenvalues. A long-time stability result is obtained by plane-wave analysis when the memory term allows for dissipation of energy.35L40 (Primary) 74D05, 35B35 (Secondary) Copyright © 2018, The Authors. All rights reserved.

关键词： Viscoelasticity

Frequency-Resolved Optical Gating Recovery via Smoothing Gradient

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arXiv 2019年

作者： Pinilla, Samuel Bendory, Tamir Eldar, Yonina C. Arguello, Henry Department of Electrical Engineering Universidad Industrial de Santander BucaramangaSantander680002 Colombia Program in Applied and Computational Mathematics Princeton University PrincetonNJ United States Weizmann Institute of Science Rehovot7610001 Israel Department of Computer Science Universidad Industrial de Santander BucaramangaSantander680002 Colombia

Frequency-resolved optical gating (FROG) is a popular technique for complete characterization of ultrashort laser pulses. The acquired data in FROG, called FROG trace, is the Fourier magnitude of the product of the unknown pulse with a time-shifted version of itself, for several different shifts. To estimate the pulse from the FROG trace, we propose an algorithm that minimizes a smoothed non-convex least-squares objective function. The method consists of two steps. First, we approximate the pulse by an iterative spectral algorithm. Then, the attained initialization is refined based upon a sequence of block stochastic gradient iterations. The algorithm is theoretically simple, numerically scalable, and easy-to-implement. Empirically, our approach outperforms the state-of-the-art when the FROG trace is incomplete, that is, when only few shifts are recorded. Simulations also suggest that the proposed algorithm exhibits similar computational cost compared to a state-of-the-art technique for both complete and incomplete data. In addition, we prove that in the vicinity of the true solution, the algorithm converges to a critical point. A Matlab implementation is publicly available at https://***/samuelpinilla/FROG. Copyright © 2019, The Authors. All rights reserved.

关键词： Ultrashort pulses

Author Correction: GRAFENE: Graphlet-based alignment-free network approach integrates 3D structural and sequence (residue order) data to improve protein structural comparison

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Scientific reports 2020年第1期10卷 13455页

作者： Fazle E Faisal Khalique Newaz Julie L Chaney Jun Li Scott J Emrich Patricia L Clark Tijana Milenković Department of Computer Science and Engineering University of Notre Dame Notre Dame IN 46556 USA. Interdisciplinary Center for Network Science and Applications University of Notre Dame Notre Dame IN 46556 USA. Eck Institute for Global Health University of Notre Dame Notre Dame IN 46556 USA. Department of Chemistry and Biochemistry University of Notre Dame Notre Dame IN 46556 USA. Department of Applied and Computational Mathematics and Statistics University of Notre Dame Notre Dame IN 46556 USA. Department of Chemical and Biomolecular Engineering University of Notre Dame Notre Dame IN 46556 USA. Department of Computer Science and Engineering University of Notre Dame Notre Dame IN 46556 USA. tmilenko@nd.edu. Interdisciplinary Center for Network Science and Applications University of Notre Dame Notre Dame IN 46556 USA. tmilenko@nd.edu. Eck Institute for Global Health University of Notre Dame Notre Dame IN 46556 USA. tmilenko@nd.edu.

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

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Plasmonically enhanced spectrally-sensitive coatings for gradient heat flux sensors

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arXiv 2019年

作者： Conley, Kevin Thakore, Vaibhav Ala-Nissila, Tapio Department of Applied Physics QTF Center of Excellence Aalto University P.O. Box 13500 AaltoFI-00076 Finland Department of Applied Mathematics Western University LondonONN6A 5B7 Canada Interdisciplinary Centre for Mathematical Modelling Departments of Mathematical Sciences Physics Loughborough University Loughborough LeicestershireLE11 3TU United Kingdom

The spectral response and directional scattering of semiconductor-oxide core-shell spherical microparticles embedded in an insulating medium at low volume fraction are computed using Mie Theory and Multiscale Modelling methods. The surface plasmon resonances of low-bandgap semiconductor microinclusions have excellent and tunable scattering properties. By adjusting the size, material, shell thickness, and dielectric environment of the particles, the energies of the localized surface resonances are tuned to match the discrete solar spectrum. Near-IR solar reflectance efficiency factors of up to 78% are observed. Further the transmittance of broadband or specific wavelengths could be blocked. These spectrally-sensitive coatings have application as a back-reflector for solar devices, high temperature thermal insulator, and optical filters in Gradient Heat Flux Sensors (GHFS) for fire safety applications. Copyright © 2019, The Authors. All rights reserved.

关键词： Reflection

Density of states method for symplectic gauge theories at finite temperature

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Physical Review D 2025年第11期111卷 114511-114511页

作者： Ed Bennett Biagio Lucini David Mason Maurizio Piai Enrico Rinaldi Davide Vadacchino Swansea Academy of Advanced Computing Swansea University Fabian Way SA1 8EN Swansea Wales United Kingdom Department of Mathematics Faculty of Science and Engineering Swansea University Fabian Way SA1 8EN Swansea Wales United Kingdom School of Mathematical Sciences Queen Mary University of London Mile End Road London E1 4NS United Kingdom Department of Physics Faculty of Science and Engineering Swansea University Singleton Park SA2 8PP Swansea Wales United Kingdom Jülich Supercomputing Centre Forschungszentrum Jülich D-52425 Jülich Germany Interdisciplinary Theoretical and Mathematical Science Program RIKEN (iTHEMS) 2-1 Hirosawa Wako Saitama 351-0198 Japan Centre for Mathematical Sciences University of Plymouth Plymouth PL4 8AA United Kingdom

We study the finite-temperature behavior of the Sp(4) Yang-Mills lattice theory in four dimensions, by applying the logarithmic linear relaxation algorithm. We demonstrate the presence of coexisting (metastable) phases, when the system is in the proximity of the transition. We measure observables such as the free energy, the expectation value of the plaquette operator and of the Polyakov loop, as well as the specific heat, and the Binder cumulant. We use these results to obtain a high-precision measurement of the critical coupling at the confinement-deconfinement transition, and assess its systematic uncertainty, for one value of the lattice extent in the time direction. Furthermore, we perform an extensive study of the finite-volume behavior of the lattice system, by repeating the measurements for fixed lattice time extent, while increasing the spatial size of the lattice. We hence characterize the first-order transition on the lattice and present the first results in the literature on this theory for the infinite volume extrapolation of lattice quantities related to latent heat and interface tension. Gauge theories with Sp(4) group have been proposed as new dark sectors to provide a fundamental origin for the current phenomenological evidence of dark matter. A phase transition at high temperature, in such a new dark sector, occurring in the early Universe, might have left a relic stochastic background of gravitational waves. Our results represent a milestone toward establishing whether such a new physics signal is detectable in future experiments, as they enter the calculation of the parameters, α and β, controlling the power spectrum of gravitational waves. We also outline the process needed in the continuum extrapolation of our measurements and test its feasibility on one additional choice of temporal extent of the lattice.

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Optimalization of enzymatic degradation on oil palm leaves hemicellulose

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AIP Conference Proceedings 2023年第1期2679卷

作者： Anita Kurniati Ni Nyoman Purwani Galih Ayhusta Laras Rohmawati Ali Rohman Afaf Baktir Hery Suwito Kazuo Sakka Makiko Sakka Ni Nyoman Tri Puspaningsih 1Mathematics and Natural Science Study Program Faculty of Science and Technology Kampus C Universitas Airlangga Mulyorejo Surabaya East Jawa 60115 Indonesia 3University-CoE-Research Centre for Bio-Molecule Engineering 2nd Floor ITD Building Kampus C Universitas Airlangga Mulyorejo Surabaya East Java 60115 Indonesia 4Department of Health Faculty of Vocational Studies Kampus B Universitas Airlangga Surabaya East Java 60286 Indonesia 2Department of Chemistry Faculty of Science and Technology Kampus C Universitas Airlangga Mulyorejo Surabaya East Java 60115 Indonesia 5Applied Microbiology Laboratory Graduate School of Bioresource Mie University 1577 Khurimamachiya-cho Tsu 514-8507 Japan

Indonesia is the largest country of oil palm production in the world. The oil palm by-product is still containing almost 80% of carbohydrates, such as cellulose and hemicellulose. This study aimed to optimize the enzymatic degradation of oil palm leaves in order to achieve zero waste of oil palm biomass by-product. Sodium hydroxide (NaOH) solution was used to isolate hemicellulose extraction from oil palm leaves. Various concentrations of NaOH such as 2 M, 2.5 M, 3 M, 3.5 M and 4 M and the reflux times of 2 hours, 4 hours, and 6 hours were used to optimize hemicellulose extraction. The optimum condition for hemicellulose extraction was 3 M NaOH and reflux time was 6 hours, while the yield at that condition was 48.94 % (w/w). The extracted hemicellulose is then hydrolyzed by a xylanolytic enzyme from recombinant Escherichia coli DH5α (namely pTP510). Temperatures of incubation were varied 50°C, 60°C, 70°C, and 80°C for 24 hours at pH 6. The hydrolysis result was analyzed using High Performance Liquid Chromatography (HPLC). Xylose was produced at an optimum temperature of 60°C (120.231 ppm), arabinose at 50°C (26.265 ppm) whereas xylo-oligosaccharide at 50°C (280.465 ppm).

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How SGD selects the global minima in over-parameterized learning: a dynamical stability perspective 18

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How SGD selects the global minima in over-parameterized lear...

Proceedings of the 32nd International Conference on Neural Information Processing Systems

作者： Lei Wu Chao Ma Weinan E. School of Mathematical Sciences Peking University Beijing P.R. China Program in Applied and Computational Mathematics Princeton University Princeton NJ Department of Mathematics and Program in Applied and Computational Mathematics Princeton University Princeton NJ and Beijing Institute of Big Data Research Beijing P.R. China

The question of which global minima are accessible by a stochastic gradient decent (SGD) algorithm with specific learning rate and batch size is studied from the perspective of dynamical stability. The concept of non-uniformity is introduced, which, together with sharpness, characterizes the stability property of a global minimum and hence the accessibility of a particular SGD algorithm to that global minimum. In particular, this analysis shows that learning rate and batch size play different roles in minima selection. Extensive empirical results seem to correlate well with the theoretical findings and provide further support to these claims.

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Volume growth, curvature, and buser-type inequalities in graphs

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arXiv 2018年

作者： Benson, Brian Ralli, Peter Tetali, Prasad Department of Mathematics University of California RiversideCA United States Program in Applied and Computational Mathematics Princeton University PrincetonNJ United States School of Mathematics Georgia Institute of Technology AtlantaGA United States

We study the volume growth of metric balls as a function of the radius in discrete spaces, and focus on the relationship between volume growth and discrete curvature. We improve volume growth bounds under a lower bound on the so-called Ollivier curvature, and discuss similar results under other types of discrete Ricci curvature. Following recent work in the continuous setting of Riemannian manifolds (by the first author), we then bound the eigenvalues of the Laplacian of a graph under bounds on the volume growth. In particular, λ2of the graph can be bounded using a weighted discrete Hardy inequality and the higher eigenvalues of the graph can be bounded by the eigenvalues of a tridiagonal matrix times a multiplicative factor, both of which only depend on the volume growth of the graph. As a direct application, we relate the eigenvalues to the Cheeger isoperimetric constant. Using these methods, we describe classes of graphs for which the Cheeger inequality is tight on the second eigenvalue. We also describe a method for proving Buser's Inequality in graphs, particularly under a lower bound assumption on curvature. Copyright © 2018, The Authors. All rights reserved.

关键词： Eigenvalues and eigenfunctions