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1. elifesciences.org › articles › 92909The archerfish uses motor adaptation in shooting to correct for...

   elifesciences.org › articles › 92909

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   Vor 15 Stunden · The computational mechanisms that give rise to such invariances are yet to be fully understood. A curious case of partial invariance occurs in the macaque face-patch AL and in fully connected layers of deep convolutional networks in which neurons respond similarly to mirror-symmetric views (e.g. left and right profiles). Why does this tuning develop? Here, we propose a simple learning-driven ...

2. dl.acm.org › doi › 10Approximately equivariant graph networks | Proceedings of the...

   dl.acm.org › doi › 10

   Vor 4 Tagen · ABSTRACT. Graph neural networks (GNNs) are commonly described as being permutation equivariant with respect to node relabeling in the graph. This symmetry of GNNs is often compared to the translation equivariance of Euclidean convolution neural networks (CNNs). However, these two symmetries are fundamentally different: The ...

3. elifesciences.org › articles › 94191Visual working memories are abstractions of percepts | eLife

   elifesciences.org › articles › 94191

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   Vor 3 Tagen · The computational mechanisms that give rise to such invariances are yet to be fully understood. A curious case of partial invariance occurs in the macaque face-patch AL and in fully connected layers of deep convolutional networks in which neurons respond similarly to mirror-symmetric views (e.g. left and right profiles). Why does ...

4. arxiv.org › abs › 2405[2405.18829] On the stationary solution of the...

   arxiv.org › abs › 2405

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   Vor 5 Tagen · View a PDF of the paper titled On the stationary solution of the Landau-Lifshitz-Gilbert equation on a nanowire with constant external magnetic field, by Guillaume Ferriere (Paradyse)

5. dl.acm.org › doi › 10Causal discovery from observational and interventional data...

   dl.acm.org › doi › 10

   Vor 4 Tagen · Using causal invariances derived from do-calculus, we define a property called S-Markov that connects interventional distributions from multiple-domains to graphical criteria on a selection diagram. Leveraging the S-Markov property, we introduce a new constraint-based causal discovery algorithm, S-FCI, that can learn from observational and interventional data from different domains. We prove ...

6. link.springer.com › chapter › 10A New Proof of the Geometric Sobolev Embedding for ... - Springer

   link.springer.com › chapter › 10

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   Vor 4 Tagen · More generally, the fact that one can uniquely identify the constant D in is shared by the subclass of which possesses invariances with respect to a family of non-isotropic dilations since in this case \(V(t)\equiv V(1)t^{\frac {D}{2}}\) (to fix the ideas, for \(\mathcal A_0\) the dilations are defined by \(\delta _\lambda (v,x)=(\lambda v, \lambda ^3 x)\)): such homogeneous class was ...

7. mathematics.ucsd.edu › research › geometric-analysisGeometric Analysis | Department of Mathematics

   mathematics.ucsd.edu › research › geometric-analysis

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   Vor 4 Tagen · Geometric Analysis investigates the geometric and topological properties of smooth manifolds using tools from modern analysis, PDE and measure theory. The broader area of differential geometry also includes the geometries defined via the corresponding groups of invariances, e.g. General relativity, affine, projective, and symplectic ...