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Artykuły w czasopismach na temat "Stabilité Lipschitz"
Soliman, A. A. "On eventual stability of impulsive systems of differential equations". International Journal of Mathematics and Mathematical Sciences 27, nr 8 (2001): 485–94. http://dx.doi.org/10.1155/s0161171201005622.
Pełny tekst źródłaGrunert, Katrin, i Matthew Tandy. "Lipschitz stability for the Hunter–Saxton equation". Journal of Hyperbolic Differential Equations 19, nr 02 (czerwiec 2022): 275–310. http://dx.doi.org/10.1142/s0219891622500072.
Pełny tekst źródłaFu, Yu Li. "On Lipschitz stability for F.D.E". Pacific Journal of Mathematics 151, nr 2 (1.12.1991): 229–35. http://dx.doi.org/10.2140/pjm.1991.151.229.
Pełny tekst źródłaPilyugin, Sergei Yu, i Sergey Tikhomirov. "Lipschitz shadowing implies structural stability". Nonlinearity 23, nr 10 (20.08.2010): 2509–15. http://dx.doi.org/10.1088/0951-7715/23/10/009.
Pełny tekst źródłaJiang, Zuohai, i Shicheng Xu. "Stability of Pure Nilpotent Structures on Collapsed Manifolds". International Mathematics Research Notices 2020, nr 24 (13.02.2019): 10317–45. http://dx.doi.org/10.1093/imrn/rnz023.
Pełny tekst źródłaChu, Chin-Ku, Myung-Sun Kim i Keon-Hee Lee. "Lipschitz stability and Lyapunov stability in dynamical systems". Nonlinear Analysis: Theory, Methods & Applications 19, nr 10 (listopad 1992): 901–9. http://dx.doi.org/10.1016/0362-546x(92)90102-k.
Pełny tekst źródłaMartynyuk, A. A. "On integral stability and Lipschitz stability of motion". Ukrainian Mathematical Journal 49, nr 1 (styczeń 1997): 84–92. http://dx.doi.org/10.1007/bf02486618.
Pełny tekst źródłaKLEMENT, ERICH PETER, ANNA KOLESÁROVÁ, RADKO MESIAR i ANDREA STUPŇANOVÁ. "LIPSCHITZ CONTINUITY OF DISCRETE UNIVERSAL INTEGRALS BASED ON COPULAS". International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18, nr 01 (luty 2010): 39–52. http://dx.doi.org/10.1142/s0218488510006374.
Pełny tekst źródłaGracia, Juan-Miguel, i Francisco E. Velasco. "Lipschitz stability of controlled invariant subspaces". Linear Algebra and its Applications 434, nr 4 (luty 2011): 1137–62. http://dx.doi.org/10.1016/j.laa.2010.10.024.
Pełny tekst źródłaChu, Chin-Ku, i Keon-Hee Lee. "Embedding of Lipschitz stability in flows". Nonlinear Analysis: Theory, Methods & Applications 26, nr 11 (czerwiec 1996): 1749–52. http://dx.doi.org/10.1016/0362-546x(95)00014-m.
Pełny tekst źródłaRozprawy doktorskie na temat "Stabilité Lipschitz"
Neacșu, Ana-Antonia. "Robust Deep learning methods inspired by signal processing algorithms". Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPAST212.
Pełny tekst źródłaUnderstanding the importance of defense strategies against adversarial attacks has become paramount in ensuring the trustworthiness and resilience of neural networks. While traditional security measures focused on protecting data and software from external threats, the unique challenge posed by adversarial attacks lies in their ability to exploit the inherent vulnerabilities of the underlying machine learning algorithms themselves.The first part of the thesis proposes new constrained learning strategies that ensure robustness against adversarial perturbations by controlling the Lipschitz constant of a classifier. We focus on nonnegative neural networks for which accurate Lipschitz bounds can be derived, and we propose different spectral norm constraints offering robustness guarantees from a theoretical viewpoint. We validate our solution in the context of gesture recognition based on Surface Electromyographic (sEMG) signals.In the second part of the thesis, we propose a new class of neural networks (ACNN) which can be viewed as establishing a link between fully connected and convolutional networks, and we propose an iterative algorithm to control their robustness during training. Next, we extend our solution to the complex plane and address the problem of designing robust complex-valued neural networks by proposing a new architecture (RCFF-Net) for which we derive tight Lipschitz constant bounds. Both solutions are validated for audio denoising.In the last part, we introduce ABBA Networks, a novel class of (almost) non-negative neural networks, which we show to be universal approximators. We derive tight Lipschitz bounds for both linear and convolutional layers, and we propose an algorithm to train robust ABBA networks. We show the effectiveness of the proposed approach in the context of image classification
Burnet, Steeve. "Méthodes de résolution d’inclusions variationnelles sous hypothèses de stabilité". Thesis, Antilles-Guyane, 2012. http://www.theses.fr/2012AGUY0594/document.
Pełny tekst źródłaIn this thesis, we focus on inclusions in the form of 0∈ f( x) + F(x), where f is a single-valued function and F is a set-valued map with closed graph. In the last few years, various methods to solve such inclusions have been developed; after having recalled some notions in analysis (single-valued and set-valued) we present some of them using metric regularity on the set-valued map. Then, instead of considering this metric regularity assumption, we prefer assumptions which are directly connected to the solution, that are semistability and hemistability. One can note that semistabily of a solution x̅ of the inclusion 0∈G(x) is actually equivalent strong metric subregularity on the set-valued map G at x̅ for 0. After having presented some methods using semistability and hemistability, we show the new results we obtained, most of them being improvement of the presented methods. What we mean by improvement is mainly a better convergence rate on the one hand, and weaker assumptions that lead to similar convergence rate, on the other
Gupta, Kavya. "Stability Quantification of Neural Networks". Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPAST004.
Pełny tekst źródłaArtificial neural networks are at the core of recent advances in Artificial Intelligence. One of the main challenges faced today, especially by companies likeThales designing advanced industrial systems is to ensure the safety of newgenerations of products using these technologies. In 2013 in a key observation, neural networks were shown to be sensitive to adversarial perturbations, raising serious concerns about their applicability in critically safe environments. In the last years, publications studying the various aspects of this robustness of neural networks, and rising questions such as "Why adversarial attacks occur?", "How can we make the neural network more robust to adversarial noise?", "How to generate stronger attacks?" etc., have grown exponentially. The contributions of this thesis aim to tackle such problems. The adversarial machine learning community concentrates majorly on classification scenarios, whereas studies on regression tasks are scarce. Our contributions bridge this significant gap between adversarial machine learning and regression applications.The first contribution in Chapter 3 proposes a white-box attackers designed to attack regression models. The presented adversarial attacker is derived from the algebraic properties of the Jacobian of the network. We show that our attacker successfully fools the neural network and measure its effectiveness in reducing the estimation performance. We present our results on various open-source and real industrial tabular datasets. Our analysis relies on the quantification of the fooling error as well as different error metrics. Another noteworthy feature of our attacker is that it allows us to optimally attack a subset of inputs, which may help to analyze the sensitivity of some specific inputs. We also, show the effect of this attacker on spectrally normalised trained models which are known to be more robust in handling attacks.The second contribution of this thesis (Chapter 4) presents a multivariate Lipschitz constant analysis of neural networks. The Lipschitz constant is widely used in the literature to study the internal properties of neural networks. But most works do a single parametric analysis, which do not allow to quantify the effect of individual inputs on the output. We propose a multivariate Lipschitz constant-based stability analysis of fully connected neural networks allowing us to capture the influence of each input or group of inputs on the neural network stability. Our approach relies on a suitable re-normalization of the input space, intending to perform a more precise analysis than the one provided by a global Lipschitz constant. We display the results of this analysis by a new representation designed for machine learning practitioners and safety engineers termed as a Lipschitz star. We perform experiments on various open-access tabular datasets and an actual Thales Air Mobility industrial application subject to certification requirements.The use of spectral normalization in designing a stability control loop is discussed in Chapter 5. A critical part of the optimal model is to behave according to specified performance and stability targets while in operation. But imposing tight Lipschitz constant constraints while training the models usually leads to a reduction of their accuracy. Hence, we design an algorithm to train "stable-by-design" neural network models using our spectral normalization approach, which optimizes the model by taking into account both performance and stability targets. We focus on Small Unmanned Aerial Vehicles (UAVs). More specifically, we present a novel application of neural networks to detect in real-time elevon positioning faults to allow the remote pilot to take necessary actions to ensure safety
Gasmi, Noussaiba. "Observation et commande d'une classe de systèmes non linéaires temps discret". Thesis, Université de Lorraine, 2018. http://www.theses.fr/2018LORR0177/document.
Pełny tekst źródłaThe analysis and synthesis of dynamic systems has undergone significant development in recent decades, as illustrated by the considerable number of published works in this field, and continue to be a research theme regularly explored. While most of the existing work concerns linear and nonlinear continuous-time systems, few results have been established in the discrete-time case. This thesis deals with the observation and control of a class of nonlinear discrete-time systems. First, the problem of state observer synthesis using a sliding window of measurements is discussed. Non-restrictive stability and robustness conditions are deduced. Two classes of discrete time nonlinear systems are studied: Lipschitz systems and one-side Lipschitz systems. Then, a dual approach was explored to derive a stabilizing control law based on observer-based state feedback. The conditions for the existence of an observer and a controller stabilizing the studied classes of nonlinear systems are expressed in term of LMI. The effectiveness and validity of the proposed approaches are shown through numerical examples
Malanowski, Kazimierz, i Fredi Tröltzsch. "Lipschitz Stability of Solutions to Parametric Optimal Control Problems for Parabolic Equations". Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801001.
Pełny tekst źródłaTröltzsch, F. "Lipschitz stability of solutions to linear-quadratic parabolic control problems with respect to perturbations". Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801229.
Pełny tekst źródłaJohn, Dominik [Verfasser]. "Uniqueness and Stability near Stationary Solutions for the Thin-Film Equation in Multiple Space Dimensions with Small Initial Lipschitz Perturbations / Dominik John". Bonn : Universitäts- und Landesbibliothek Bonn, 2013. http://d-nb.info/104527626X/34.
Pełny tekst źródłaCharabati, Mohamad. "Le problème de Dirichlet pour les équations de Monge-Ampère complexes". Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30001/document.
Pełny tekst źródłaIn this thesis we study the regularity of solutions to the Dirichlet problem for complex Monge-Ampère equations and also for complex Hessian equations in a bounded domain of Cn. In the first chapter, we give basic facts in pluripotential theory. In the second chapter, we study the modulus of continuity of solutions to the Dirichlet problem for complex Monge-Ampère equations when the right hand side is a measure with continuous density with respect to the Lebesgue measure in a bounded strongly hyperconvex Lipschitz domain. In the third chapter, we prove the Hölder continuity of solutions to this problem for some general measures. In the fourth chapter, we consider the Dirichlet problem for complex Hessian equations when the right hand side depends on the unknown function. We give a sharp estimate of the modulus of continuity of the solution as the density is continuous. Moreover, for the case of Lp-density we demonstrate that the solution is Hölder continuous up to the boundary
Części książek na temat "Stabilité Lipschitz"
Dontchev, Asen L. "Lipschitz Stability in Optimization". W Lectures on Variational Analysis, 103–12. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79911-3_11.
Pełny tekst źródłaWang, Kelei. "Uniqueness, Stability and Uniform Lipschitz Estimates". W Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations, 17–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33696-6_2.
Pełny tekst źródłaDontchev, A. L. "Characterizations of Lipschitz Stability in Optimization". W Recent Developments in Well-Posed Variational Problems, 95–115. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8472-2_4.
Pełny tekst źródłaPilyugin, Sergei Yu, i Kazuhiro Sakai. "Lipschitz and Hölder Shadowing and Structural Stability". W Lecture Notes in Mathematics, 37–124. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65184-2_2.
Pełny tekst źródłaGuo, Shuli, i Lina Han. "Lipschitz Stability Analysis on a Type of Nonlinear Perturbed System". W Stability and Control of Nonlinear Time-varying Systems, 179–91. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8908-4_9.
Pełny tekst źródłaFelgenhauer, Ursula. "Lipschitz Stability of Broken Extremals in Bang-Bang Control Problems". W Large-Scale Scientific Computing, 317–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78827-0_35.
Pełny tekst źródłaFu, Chaojin, i Ailong Wu. "Global Exponential Stability of Delayed Neural Networks with Non-lipschitz Neuron Activations and Impulses". W Advances in Computation and Intelligence, 92–100. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04843-2_11.
Pełny tekst źródłaDi Ferdinando, Mario, Pierdomenico Pepe i Emilia Fridman. "Practical Stability Preservation Under Sampling, Actuation Disturbance and Measurement Noise, for Globally Lipschitz Time-Delay Systems". W Advances in Delays and Dynamics, 109–24. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-89014-8_6.
Pełny tekst źródłaHashimoto, Hiroya. "Approximation and Stability of Solutions of SDEs Driven by a Symmetric α Stable Process with Non-Lipschitz Coefficients". W Lecture Notes in Mathematics, 181–99. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00321-4_7.
Pełny tekst źródła"Stability in the Lipschitz norms". W Functional Equations and Inequalities in Several Variables, 235–43. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778116_0025.
Pełny tekst źródłaStreszczenia konferencji na temat "Stabilité Lipschitz"
Doostmohammadian, Mohammad Reza, i Hassan Sayyaadi. "Finite-Time Consensus in Undirected/Directed Network Topologies". W ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24012.
Pełny tekst źródłaKokolakis, Nick-Marios T., Kyriakos G. Vamvoudakis i Wassim M. Haddad. "Fixed-Time Learning for Optimal Feedback Control". W ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-117007.
Pełny tekst źródłaPuerta, Ferran, i Xavier Puerta. "On the Lipschitz stability of (A,B)-invariant subspaces". W 2009 17th Mediterranean Conference on Control and Automation (MED). IEEE, 2009. http://dx.doi.org/10.1109/med.2009.5164649.
Pełny tekst źródłaBELLASSOUED, M., i M. YAMAMOTO. "LIPSCHITZ STABILITY IN AN INVERSE HYPERBOLIC PROBLEM BY BOUNDARY OBSERVATIONS". W Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0130.
Pełny tekst źródłaOzcan, Neyir. "New results for global stability of neutral-type delayed neural networks". W The 11th International Conference on Integrated Modeling and Analysis in Applied Control and Automation. CAL-TEK srl, 2018. http://dx.doi.org/10.46354/i3m.2018.imaaca.004.
Pełny tekst źródłaMukherjee, Arunima, i Aparajita Sengupta. "Input tracking of Lipschitz nonlinear systems using input-state-stability approach". W 2016 2nd International Conference on Control, Instrumentation, Energy & Communication (CIEC). IEEE, 2016. http://dx.doi.org/10.1109/ciec.2016.7513814.
Pełny tekst źródłaHristova, S., A. Dobreva i K. Ivanova. "Lipschitz stability of differential equations with supremum and non-instantaneous impulses". W SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040099.
Pełny tekst źródłaBarucq, H., H. Calandra, M. V. De Hoop, F. Faucher i J. Shi. "Full waveform inversion for elastic medium using quantitative Lipschitz stability estimates". W 7th EAGE Saint Petersburg International Conference and Exhibition. Netherlands: EAGE Publications BV, 2016. http://dx.doi.org/10.3997/2214-4609.201600240.
Pełny tekst źródłaYuan, Zhecheng, Guozheng Ma, Yao Mu, Bo Xia, Bo Yuan, Xueqian Wang, Ping Luo i Huazhe Xu. "Don’t Touch What Matters: Task-Aware Lipschitz Data Augmentation for Visual Reinforcement Learning". W Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. California: International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/514.
Pełny tekst źródłaWang, Yan, i David M. Bevly. "Robust Observer Design for Lipschitz Nonlinear Systems With Parametric Uncertainty". W ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-4104.
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