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arXiv 2017年

作者： Linderman, George C. Mishne, Gal Kluger, Yuval Steinerberger, Stefan Department of Pathology Program in Applied Mathematics Yale University

If we pick n random points uniformly in [0;1]dand connect each point to its k-nearest neighbors, then it is well known that there exists a giant connected component with high probability. We prove that in [0;1]dit suffices to connect every point to cd,1log log n points chosen randomly among its cd,2log n-nearest neighbors to ensure a giant component of size n-o(n) with high probability. This construction yields a much sparser random graph with ∼ n log log n instead of ∼ n log n edges that has comparable connectivity properties. This result has nontrivial implications for problems in data science where an affinity matrix is constructed: instead of picking the k-nearest neighbors, one can often pick′ k random points out of the k-nearest neighbors without sacrificing efficiency. This can massively simplify and accelerate computation, we illustrate this with several numerical examples. Copyright © 2017, The Authors. All rights reserved.

关键词： k-nearest neighbors

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State estimation in hybrid systems with a bounded number of mode transitions

State estimation in hybrid systems with a bounded number of ...

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作者： Sigalov, Daniel Oshman, Yaakov Technion Israel Institute of Technology Program for Applied Mathematics Haifa 32000 Israel Technion Israel Institute of Technology Department of Aerospace Engineering Haifa 32000 Israel

ISBN: (纸本)9780982443811

We consider the problem of tracking the state of a hybrid system capable of performing a bounded number of mode switches. The system is assumed to follow either a nominal or an anomalous model, where the nominal model may stand for, e.g., the non-maneuvering motion regime of a target or the fault-free operation mode of a sensor, and the anomalous model may stand for, e.g., the abrupt evasive maneuvers of a target or the faulty operation of a sensor. As is well known, the optimal algorithm requires implementation of an exponentially growing number of primitive Kalman filters. On the other hand, the system's switching dynamics is not Markov because of the a priori bounded number of model switches, thus ruling out the use of popular estimation schemes such as the interacting multiple model (IMM) and generalized pseudo-Bayesian (GPB) filters. We derive an efficient scheme that uses a number of primitive Kalman filters that is linear in the number of possible maneuvers. The scheme resembles the IMM algorithm in that it uses interaction between some of the primitive filters before every estimation cycle, thus reducing the number of such filters. The algorithm's performance is evaluated via a simulation study, and shown to outperform the state-of-the-art IMM filter in a typical example.

关键词： Hybrid systems

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Reducing Stress Level Cases of Hypogalactia Using Electric and Massage Stimulation Models 4

Reducing Stress Level Cases of Hypogalactia Using Electric a...

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4th International Conference on Energy, Environment, Epidemiology and Information System, ICENIS 2019

作者： Maula, Sheyla Najwatul Widyawati, Melyana Nurul Suryono, Suryono Post Graduate Applied Science Midwifery Program Poltekkes Kemenkes Semarang Indonesia Physics Department Faculty of Mathematics and Natural Sciences Diponegoro University Semarang Indonesia

Postpartum stress is very likely to take place as there are fluctuations in terms of feelings, pressure, anxiety, and guilt that may result in hypogalactia without proper treatment. Hypogalactia itself is an issue breastfeeding mothers face that may stall toddlers' growth, and hence, the future of a nation. This research aims to lower stress levels in hypogalactia cases. It employs nor pharmacological methods of electric and massage stimulation models to activate the biomechanical, psychological, and neurological systems within the body. The electric stimulation model was performed for 10 minutes in acupoints SI, ST, and SP at 0.5 watts frequency. Meanwhile, the massage stimulation was performed for 30 minutes in acupoints GB, BL, ST, CV, and ST. Samples were divided into intervention and control groups, both characteristics and difference tests were performed. Paired t-test results show that there is a significant difference (p © The Authors, published by EDP Sciences, 2019.

关键词： Electrophysiology

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Our Role in Solving Global Challenges: An Opinion

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JOURNAL OF THE AMERICAN CHEMICAL SOCIETY 2024年第31期146卷 21193-21195页

作者： Carter, Emily A. Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics and the Andlinger Center for Energy and the Environment Princeton University Princeton New Jersey 08544-5263 United States Princeton Plasma Physics Laboratory Princeton New Jersey 08540-6655 United States

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GLOBAL SOLUTIONS TO THE SUPERCOOLED STEFAN PROBLEM WITH BLOW-UPS: REGULARITY AND UNIQUENESS

Probability and Mathematical Physics

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Probability and Mathematical Physics 2022年第1期3卷 171-213页

作者： Delarue, François Nadtochiy, Sergey Shkolnikov, Mykhaylo Laboratoire J.A.Dieudonné Université de Nice Sophia-Antipolis UMR CNRS-UNS No. 7351 Nice France Department of Applied Mathematics Illinois Institute of Technology Rettaliata Engineering Center Chicago IL United States ORFE Department Bendheim Center for Finance Program in Applied and Computational Mathematics Princeton University Princeton NJ United States

We consider the supercooled Stefan problem, which captures the freezing of a supercooled liquid, in one space dimension. A probabilistic reformulation of the problem allows us to define global solutions, even in the presence of blow-ups of the freezing rate. We provide a complete description of such solutions, by relating the temperature distribution in the liquid to the regularity of the ice growth process. The latter is shown to transition between (i) continuous differentiability, (ii) Hölder continuity, and (iii) discontinuity. In particular, in the second regime we rediscover the square root behavior of the growth process pointed out by Stefan in his seminal 1889 paper for the ordinary Stefan problem. In our second main theorem, we establish the uniqueness of the global solutions, a first result of this kind in the context of growth processes with singular self-excitation when blow-ups are present. © 2022 Mathematical Sciences Publishers.

关键词： blow-ups free boundary problem heat equation interacting particle systems mean-field interaction physical solutions probabilistic reformulation self-excitation supercooled Stefan problem zero set

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Landauʼs necessary density conditions for the Hankel transform

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Journal of Functional Analysis 2012年第4期262卷 1845-1866页

作者： Luís Daniel Abreu Afonso S. Bandeira Department of Mathematics of University of Coimbra 3001-454 Coimbra Portugal Program in Applied and Computational Mathematics Princeton University NJ 08544 USA

We will prove an analogue of Landauʼs necessary conditions [H.J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967) 37–52] for spaces of functions whose Hankel transform is supported in a measurable subset S of the positive semi-axis. As a special case, necessary density conditions for the existence of Fourier–Bessel frames are obtained.

关键词： Sampling and interpolation Beurling–Landau density Hankel transform Bessel functions Fourier–Bessel frames

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Exploring Mathematical Analysis, Approximation Theory, and Optimization 1

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丛书名： Springer Optimization and Its Applications

1000年

作者： Nicholas J. Daras Nikolaos B. Zographopoulos Michael Th. Rassias

ISBN: (数字)9783031464874

ISBN: (纸本)9783031464867;9783031464898

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education.;Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy’s inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages.

关键词： Real Functions Optimization Approximations and Expansions Functional Analysis Operator Theory Number Theory

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Resident action in smart waste management during landfill disclosure transition: Insights from Yogyakarta's smart city initiatives

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Cleaner Production Letters 2025年 8卷

作者： Suhardono, Sapta Lee, Chun-Hung Thuy Phan, Thi Thanh Suryawan, I Wayan Koko Environmental Sciences Study Program Faculty of Mathematics and Natural Sciences Universitas Sebelas Maret Surakarta 57126 Indonesia Department of Natural Resources and Environmental Studies College of Environmental Studies and Oceanography National Dong Hwa University Hualien 97401 Taiwan Center for Environmental Solution (CVISION) Universitas Pertamina Jalan Sinabung II Terusan Simprug Jakarta 12220 Indonesia Center for Interdisciplinary Research on Ecology and Sustainability College of Environmental Studies and Oceanography National Dong Hwa University Hualien 97401 Taiwan Dong Nai Campus Vietnam National University of Forestry Dong Nai Bien Hoa 810000 Viet Nam Department of Environmental Engineering Faculty of Infrastructure Planning Universitas Pertamina Jalan Sinabung II Terusan Simprug Jakarta 12220 Indonesia

Globally, the rise of smart cities underscores the critical role of resident participation in advancing sustainable urban systems, particularly in managing waste during periods of transition. While technological innovations such as sensing and data analytics have garnered attention, the integration of these solutions with social dynamics remains underexplored. This study addresses this gap by investigating the dynamics of resident engagement in smart waste management during the transitional phase of landfill closures, using Yogyakarta, Indonesia, as a case study. The research aims to bridge the disconnect between technological advancements and community involvement, emphasizing their interplay in ensuring sustainable outcomes. Adopting a mixed-methods approach, this study integrates advanced computational intelligence with qualitative insights into behavioral drivers. Key elements of the methodological framework include sensing, learning, understanding, and acting, enabling a comprehensive exploration of the technological and human dimensions of waste management. Advanced predictive models analyze patterns in waste generation, optimizing system responsiveness and efficiency, while qualitative data reveal the critical role of education and tailored communication strategies in fostering resident participation. Findings demonstrate that combining cutting-edge technology with community-centric initiatives leads to significant improvements in waste management outcomes. Strategic educational campaigns and adaptive communication tailored to local contexts enhance public engagement and sustainable practices. Furthermore, the study underscores the importance of continuous learning and adaptive management, enabling urban planning frameworks to evolve in response to emerging challenges. This synergy between technology and civic participation is pivotal for the long-term success of smart city initiatives. The novelty of this research lies in its holistic integration of technolo

关键词： Landfill closure Resident participation Smart cities Smart city solutions Smart waste management Urban sustainability

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Hypothetical scenarios for circular bioeconomy preferences in the Bali metropolitan area

Waste Management Bulletin

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Waste Management Bulletin 2025年第3期3卷

作者： Koko Suryawan, I Wayan Suhardono, Sapta Rahman, Ari Thuy Phan, Thi Thanh Lee, Chun-Hung Department of Environmental Engineering Faculty of Infrastructure Planning Universitas Pertamina Jalan Sinabung II Terusan Simprug Jakarta 12220 Indonesia Department of Natural Resources and Environmental Studies College of Environmental Studies and Oceanography National Dong Hwa University Hualien 97401 Taiwan Center for Environmental Solution (CVISION) Universitas Pertamina Jalan Sinabung II Terusan Simprug Jakarta 12220 Indonesia Center for Interdisciplinary Research on Ecology and Sustainability College of Environmental Studies and Oceanography National Dong Hwa University Hualien 97401 Taiwan Environmental Sciences Study Program Faculty of Mathematics and Natural Sciences Universitas Sebelas Maret Surakarta 57126 Indonesia Faculty of Natural Resources & Environment Dong Nai Campus Vietnam National University of Forestry Dong Nai Bien Hoa 810000 Viet Nam

This study investigates the preferences and willingness of residents, including local and foreign residents, in the Bali metropolitan area to participate in various waste management initiatives aimed at promoting a circular bioeconomy. Bali, a major tourist center in the Global South, presents unique challenges and opportunities for sustainable waste management. Using a choice experiment framework, we explored preferences for managing paper, food, and garden waste through different scenarios. Scenario 1 focused on collecting and separating waste to support existing infrastructure, Scenario 2 emphasized source reduction and participation, and Scenario 3 integrated a comprehensive circular economy approach. The study reveals significant support for comprehensive waste management practices, with high marginal willingness to participate values for initiatives such as collecting and processing paper waste for energy conversion, independent composting of food waste, and community-based composting of garden waste. These findings highlight the importance of community engagement and tailored strategies in developing sustainable waste management programs. The results provide valuable insights for policymakers and stakeholders to design effective circular bioeconomy policies that enhance local economic self-sufficiency and contribute to sustainable development goals. © 2025 The Authors

关键词： Circular bioeconomy Community engagement Environmental sustainability Waste management Waste-to-value initiatives

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Input nonlinearities can shape beyond-pairwise correlations and improve information transmission by neural populations

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Physical Review E 2015年第6期92卷 062707-062707页

作者： Joel Zylberberg Eric Shea-Brown Department of Applied Mathematics Program in Neuroscience Department of Physiology and Biophysics University of Washington Seattle Washington 98195 USA

While recent recordings from neural populations show beyond-pairwise, or higher-order, correlations (HOC), we have little understanding of how HOC arise from network interactions and of how they impact encoded information. Here, we show that input nonlinearities imply HOC in spin-glass-type statistical models. We then discuss one such model with parametrized pairwise- and higher-order interactions, revealing conditions under which beyond-pairwise interactions increase the mutual information between a given stimulus type and the population responses. For jointly Gaussian stimuli, coding performance is improved by shaping output HOC only when neural firing rates are constrained to be low. For stimuli with skewed probability distributions (like natural image luminances), performance improves for all firing rates. Our work suggests surprising connections between nonlinear integration of neural inputs, stimulus statistics, and normative theories of population coding. Moreover, it suggests that the inclusion of beyond-pairwise interactions could improve the performance of Boltzmann machines for machine learning and signal processing applications.

关键词： Neural information Information theory

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