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value | date int32 2.02k 2.02k | text stringlengths 200 3.42M | token_count int32 31 921k | category stringclasses 1
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redpajama_arxiv | 2,021 | Introduction
Determinism versus randomization in algorithm design is a fundamental concern in computer science and is the topic of a great many works in complexity theory. In ``space-constrained'' models such as communication complexity and data streaming, basic results show that derandomization can entail an expon... | 14,591 | academic |
redpajama_arxiv | 2,021 | Introduction
Robust out-of-distribution (OOD) generalization is one of the key open challenges in machine learning. This is particularly relevant for the deployment of ML models to the real world, where we need systems that generalize beyond the i.i.d.\ (independent and identically distributed) data setting . One inst... | 6,654 | academic |
redpajama_arxiv | 2,021 | Introduction
This contribution is devoted to the analysis of the regularity of the pressure, p\,, associated with the weak solutions:
for the Euler equations of incompressible invsicid/ideal fluid
where R^d is a simply connected bounded domain with a smooth (say C^2 ) boundary, while
n( x) denotes the extension in ... | 6,568 | academic |
redpajama_arxiv | 2,021 | Introduction
In a previous work the extended time-dependent Ginzburg-Landau (ETDGL) theory has been formulated, which is a generalization of the Ginsburg-Landau (GL) theory for the nonstationary regimes: the damped eigen oscillations (including the relaxation) and the forced oscillations of the order parameter (OP... | 13,065 | academic |
redpajama_arxiv | 2,021 | Introduction
Generative Adversarial Networks (GANs) have delivered tremendous success in learning to generate samples from high-dimensional distributions . In the GAN framework, two models are trained simultaneously: a generator G which attempts to generate data from the desired distribution, and a discriminator D whi... | 5,574 | academic |
redpajama_arxiv | 2,021 | "Introduction\n\n Classical black holes, as solutions of Einstein equations, are characterized by ju(...TRUNCATED) | 2,993 | academic |
redpajama_arxiv | 2,021 | "Introduction\n\nIt is generally believed that the singularity problem in the classical gravitationa(...TRUNCATED) | 10,142 | academic |
redpajama_arxiv | 2,021 | "Acknowledgments\n\nThis work was supported in part by National Science Foundation awards CCF-191919(...TRUNCATED) | 13,425 | academic |
redpajama_arxiv | 2,021 | "Introduction\n\nThe relationship between amenities in or near residential, work or school–neighbo(...TRUNCATED) | 6,871 | academic |
redpajama_arxiv | 2,021 | "Introduction\n\nThe fundamental problem of star formation was first stated by\n\nand\n.\nSimply sta(...TRUNCATED) | 13,266 | academic |
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