Zobrazeno 1 - 10
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pro vyhledávání: '"high dimension"'
Low-Dimension-to-High-Dimension (LDHD) generalization is a special case of Out-of-Distribution (OOD) generalization, where the training data are restricted to a low-dimensional subspace of the high-dimensional testing space. Assuming that each instan
Externí odkaz:
http://arxiv.org/abs/2410.08898
Autor:
Chevallier, Julien, Ost, Guilherme
Let $N$ components be partitioned into two communities, denoted ${\cal P}_+$ and ${\cal P}_-$, possibly of different sizes. Assume that they are connected via a directed and weighted Erd\"os-R\'enyi random graph (DWER) with unknown parameter $ p \in
Externí odkaz:
http://arxiv.org/abs/2411.15627
The PID controller currently occupies a prominent position as the most prevalent control architecture, which has achieved groundbreaking success across extensive implications. However, its parameters online regulation remains a formidable challenge.
Externí odkaz:
http://arxiv.org/abs/2411.13140
Autor:
Benning, Felix, Döring, Leif
We prove that all 'gradient span algorithms' have asymptotically deterministic behavior on scaled Gaussian random functions as the dimension tends to infinity. In particular, this result explains the counterintuitive phenomenon that different trainin
Externí odkaz:
http://arxiv.org/abs/2410.09973
In many real-world continuous action domains, human agents must decide which actions to attempt and then execute those actions to the best of their ability. However, humans cannot execute actions without error. Human performance in these domains can
Externí odkaz:
http://arxiv.org/abs/2408.10512
Autor:
Poignard, Benjamin, Asai, Manabu
Building upon the pertinence of the factor decomposition to break the curse of dimensionality inherent to multivariate volatility processes, we develop a factor model-based multivariate stochastic volatility (fMSV) framework that relies on two viewpo
Externí odkaz:
http://arxiv.org/abs/2406.19033
We consider a system of binary interacting chains describing the dynamics of a group of $N$ components that, at each time unit, either send some signal to the others or remain silent otherwise. The interactions among the chains are encoded by a direc
Externí odkaz:
http://arxiv.org/abs/2406.07066
Autor:
Huang, Genggeng, Shen, Weiming
The Guillemin boundary condition naturally appears in the study of K\"ahler geometry of toric manifolds. In the present paper, the following Guillemin boundary value problem is investigated \begin{align} \label{eq1} &\det D^2 u=\frac{h(x)}{\prod_{i=1
Externí odkaz:
http://arxiv.org/abs/2406.05471
Autor:
Xie, Yulin, Tang, Yifa
High-dimensional Lagrange interpolation plays a pivotal role in finite element methods, where ensuring the unisolvence and symmetry of its interpolation space and nodes set is crucial. In this paper, we leverage group action and group representation
Externí odkaz:
http://arxiv.org/abs/2405.13430