Results 11 to 20 of about 13,883,206 (203)
Partitions of the set of nonnegative integers with the same representation functions [PDF]
Discrete Mathematics, 2016 For a set of nonnegative integers $S$ let $R_{S}(n)$ denote the number of unordered representations of the integer $n$ as the sum of two different terms from $S$.
S. Z. Kiss, Csaba Sándor
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Representation formulas and pointwise properties for Barron functions [PDF]
Calculus of Variations and Partial Differential Equations, 2020 We study the natural function space for infinitely wide two-layer neural networks with ReLU activation (Barron space) and establish different representation formulae. In two cases, we describe the space explicitly up to isomorphism.
E. Weinan, Stephan Wojtowytsch
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VIP: Towards Universal Visual Reward and Representation via Value-Implicit Pre-Training [PDF]
International Conference on Learning Representations, 2022 Reward and representation learning are two long-standing challenges for learning an expanding set of robot manipulation skills from sensory observations.
Y. Ma +5 more
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Representation of standard Liebchtz functions under a microscope [PDF]
مجلة التربية والعلم, 2012 The aim of this paper is to provide a representation of a standard lipschitzian functions by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Taher Ismail, Hind Saleh
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On additive representation functions [PDF]
International Journal of Number Theory, 2015 Let 𝒜 = {a1 < a2 < a3 < ⋯ < an < ⋯} be an infinite sequence of nonnegative integers and let R2(n) = |{(i, j) : ai + aj = n; ai, aj ∈ 𝒜; i ≤ j}|. We define [Formula: see text]. We prove that if the L∞-norm of [Formula: see text] is small, then the L1-norm of [Formula: see text] is large.
Balasubramanian, R., Giri, Sumit
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Shap-E: Generating Conditional 3D Implicit Functions [PDF]
arXiv.org, 2023 We present Shap-E, a conditional generative model for 3D assets. Unlike recent work on 3D generative models which produce a single output representation, Shap-E directly generates the parameters of implicit functions that can be rendered as both textured
Heewoo Jun, Alex Nichol
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Multipoint Correlation Functions: Spectral Representation and Numerical Evaluation
Physical Review X, 2021 The many-body problem is usually approached from one of two perspectives: the first originates from an action and is based on Feynman diagrams, the second is centered around a Hamiltonian and deals with quantum states and operators.
Fabian B. Kugler +2 more
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On a problem of partitions of the set of nonnegative integers with the same representation functions
Discrete Mathematics, 2018 Dombi has shown that the set N of all non-negative integers can be partitioned into two subsets with identical representation functions. In this paper, we prove that one cannot partition N into more than two subsets with identical representation ...
Min Tang, Shi-Qiang Chen
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Automatic Chemical Design Using a Data-Driven Continuous Representation of Molecules [PDF]
ACS Central Science, 2016 We report a method to convert discrete representations of molecules to and from a multidimensional continuous representation. This model allows us to generate new molecules for efficient exploration and optimization through open-ended spaces of chemical ...
R. Gómez-Bombarelli +6 more
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A representation of Jacobi functions
International Journal of Mathematics and Mathematical Sciences, 1985 Recently, the continuous Jacobi transform and its inverse are defined and studied in [1] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions Pλ(α,β)(x), −½≤α, β≤½, α+β=0, and λ≥−½. The case α=β=0
E. Y. Deeba, E. L. Koh
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