Results 21 to 30 of about 10,757,449 (291)
Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach [PDF]
Applied Mathematics-A Journal of Chinese Universities, 2021 AbstractIn this paper, a new technique is introduced to obtain non-uniform Berry-Esseen bounds for normal and nonnormal approximations by unbounded exchangeable pairs. This technique does not rely on the concentration inequalities developed by Chen and Shao [4,5] and can be applied to the quadratic forms and the general Curie-Weiss model.
Liu, Da-li +3 more
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On Certifying Non-uniform Bound against Adversarial Attacks
CoRR, 2019 This work studies the robustness certification problem of neural network models, which aims to find certified adversary-free regions as large as possible around data points. In contrast to the existing approaches that seek regions bounded uniformly along all input features, we consider non-uniform bounds and use it to study the decision boundary of ...
Chen Liu 0027 +2 more
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Non-uniformity issues and workarounds in bounded-size sampling
The VLDB Journal, 2013 A variety of schemes have been proposed in the literature to speed up query processing and analytics by incrementally maintaining a bounded-size uniform sample from a dataset in the presence of a sequence of insertion, deletion, and update transactions.
Rainer Gemulla +2 more
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Closed Sets and Operators thereon: Representations, Computability and Complexity [PDF]
Logical Methods in Computer Science, 2018 The TTE approach to Computable Analysis is the study of so-called representations (encodings for continuous objects such as reals, functions, and sets) with respect to the notions of computability they induce.
Carsten Rösnick-Neugebauer
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Uniform entropy and energy bounds for fully non-linear equations [PDF]
, 2022 Energy bounds which are uniform in the background metric are obtained from upper bounds for entropy-like quantities. The argument is based on auxiliary Monge-Amp\`ere equations involving sublevel sets, and bypasses the Alexandrov-Bakelman-Pucci maximum ...
Guo, Bin, Phong, Duong H.
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, 2021 We establish sufficient conditions for a uniform Lp⋆ (Ω) bound to imply a uniform L∞(Ω) bound for positive weak solutions of sub- critical p-Laplacian equations. We also provide an equivalent result for sequences of boundary-value problems.
Mavinga, Nsoki +1 more
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The Non-Uniform Perebor Conjecture for Time-Bounded Kolmogorov Complexity is False.
Electron. Colloquium Comput. Complex., 2023 The Perebor (Russian for "brute-force search") conjectures, which date back to the 1950s and 1960s are some of the oldest conjectures in complexity theory. The conjectures are a stronger form of the NP ≠ P conjecture (which they predate) and state that for "meta-complexity" problems, such as the Time-bounded Kolmogorov complexity Problem, and the ...
Mazor, Noam, Pass, Rafael
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-openness of non-uniform hyperbolic diffeomorphisms with bounded -norm [PDF]
Ergodic Theory and Dynamical Systems, 2019 We study the $C^{1}$-topological properties of the subset of non-uniform hyperbolic diffeomorphisms in a certain class of $C^{2}$ partially hyperbolic symplectic systems which have bounded $C^{2}$ distance to the identity. In this set, we prove the stability of non-uniform hyperbolicity as a function of the diffeomorphism and the measure, and the ...
CHAO LIANG, KARINA MARIN, JIAGANG YANG
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Uniform reconstruction of continuous functions with the RAFU method
Applied General Topology, 2017 The RAFU (radical functions) method can be used to obtain the uniformreconstruction of a continuous function from its values at some ofthe points of partitions of a closed interval.
Eduardo Corbacho Cortés
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IEEE Access, 2021 A novel saturated visual control strategy for nonholonomic mobile robots is presented. The principal focus is to deal with the stabilization problem. The saturation bounds for the control actions avoid exceeding the physical restrictions of the actuators.
Ricardo Perez-Alcocer +3 more
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