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MMBPG and MMBPGe minimize an auxiliary function majorizing the Kullback--Leibler (KL) divergence loss by the existing Bregman proximal gradient algorithms.
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We discuss how the concept of equality is used by mathematicians (including Grothendieck), and what effect this has when trying to formalise mathematics.
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This paper is devoted to the problem of minimizing a sum of rational functions over a basic semialgebraic set.
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Flow updates for domain decomposition of entropic optimal transport
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In practice this can be avoided by a coarse-to-fine multiscale scheme.
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We classify all solution triples with Fibonacci components to the equation $a^2+b^2+c^2=3abc+m,$ for positive $m$.
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An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
phioeffn/SBP-Construction • 14 May 2024
We introduce a novel construction procedure for one-dimensional summation-by-parts (SBP) operators.
Numerical Analysis Numerical Analysis Optimization and Control 65M12, 65M60, 65M70, 65D25
Effective Front-Descent Algorithms with Convergence Guarantees
pierlumanzu/fd_framework • 14 May 2024
In this manuscript, we address continuous unconstrained optimization problems and we discuss descent type methods for the reconstruction of the Pareto set.
Optimization and Control 90C29, 90C26, 90C30
A Riemannian Proximal Newton-CG Method
wutauopt/RPN-CG • 14 May 2024
The existing remedy relies on a hybrid approach: running a Riemannian proximal gradient method until the iterate is sufficiently accurate and switching to the Riemannian proximal Newton method.
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Global weight optimization of frame structures under free-vibration eigenvalue constraints
tyburec/pof-dyna • 14 May 2024
Moreover, we show how to construct lower and upper bounds for each level of the Lasserre hierarchy.
Cloaking for random walks using a discrete potential theory
fguevaravas/crwdpt • 13 May 2024
In addition to these capabilities, the active strategy can also hide sources of particles, at the cost of prior knowledge of the expected net particle charges in the reference graph.
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The algorithm takes as input a set of discrete probability distributions describing vote totals for each candidate ranking and calculates the probability that each candidate will win the election.
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Existing automated verification techniques for safe Rust code rely on the strong type-system properties to reason about programs, especially to deduce which memory locations do not change (i. e., are framed) across function calls.
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The simple structure of an AIT provides flexible extensions: (i) its time and space complexities respectively become $O(\log^{2} n + s)$ expected and $O(n)$ by bucketing intervals and (ii) it can deal with weighted intervals and outputs $s$ weighted random samples in $O(\log^{2} n+s\log n)$ time.
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Stablecoins - crypto tokens whose value is pegged to a real-world asset such as the US Dollar - are an important component of the DeFi ecosystem as they mitigate the impact of token price volatility.
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- Published: 14 May 2024
2023 summer warmth unparalleled over the past 2,000 years
- Jan Esper ORCID: orcid.org/0000-0003-3919-014X 1 , 2 ,
- Max Torbenson ORCID: orcid.org/0000-0003-2720-2238 1 &
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Including an exceptionally warm Northern Hemisphere (NH) summer 1 ,2 , 2023 has been reported as the hottest year on record 3-5 . Contextualizing recent anthropogenic warming against past natural variability is nontrivial, however, because the sparse 19 th century meteorological records tend to be too warm 6 . Here, we combine observed and reconstructed June-August (JJA) surface air temperatures to show that 2023 was the warmest NH extra-tropical summer over the past 2000 years exceeding the 95% confidence range of natural climate variability by more than half a degree Celsius. Comparison of the 2023 JJA warming against the coldest reconstructed summer in 536 CE reveals a maximum range of pre-Anthropocene-to-2023 temperatures of 3.93°C. Although 2023 is consistent with a greenhouse gases-induced warming trend 7 that is amplified by an unfolding El Niño event 8 , this extreme emphasizes the urgency to implement international agreements for carbon emission reduction.
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Department of Geography, Johannes Gutenberg University, Mainz, Germany
Jan Esper & Max Torbenson
Global Change Research Institute of the Czech Academy of Sciences, Brno, Czech Republic
Jan Esper & Ulf Büntgen
Department of Geography, University of Cambridge, Cambridge, United Kingdom
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Esper, J., Torbenson, M. & Büntgen, U. 2023 summer warmth unparalleled over the past 2,000 years. Nature (2024). https://doi.org/10.1038/s41586-024-07512-y
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Published : 14 May 2024
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