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 suf...
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作者:
Sigalov, DanielOshman, YaakovTechnion
Israel Institute of Technology Program for Applied Mathematics Haifa 32000 Israel Technion
Israel Institute of Technology Department of Aerospace Engineering Haifa 32000 Israel
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...
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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.
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 bre...
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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 p...
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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 w...
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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.
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 ...
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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.
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 innov...
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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
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 ci...
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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 informa...
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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.
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