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Infinite-width limit of deep linear neural networks
(2024)Communications on Pure and Applied MathematicsThis paper studies the infinite-width limit of deep linear neural networks (NNs) initialized with random parameters. We obtain that, when the number of parameters diverges, the training dynamics converge (in a precise sense) to the dynamics obtained from a gradient descent on an infinitely wide deterministic linear NN. Moreover, even if the weights remain random, we get their precise law along the training dynamics, and prove a quantitative ...Journal Article -
Single-Step Functionalization Strategy of Graphene Microtransistor Array with Chemically Modified Aptamers for Biosensing Applications
(2024)SmallGraphene solution-gated field-effect transistors (gSGFETs) offer high potential for chemical and biochemical sensing applications. Among the current trends to improve this technology, the functionalization processes are gaining relevance for its crucial impact on biosensing performance. Previous efforts are focused on simplifying the attachment procedure from standard multi-step to single-step strategies, but they still suffer from ...Journal Article -
Emergent Properties in Chemistry - Relating Molecular Properties to Bulk Behavior
(2024)Chemistry - A European JournalCertain properties of an object only emerge when a sufficient number of those objects are present in a definite arrangement. For example, one or two water molecules cannot said to be in a liquid state, but a drop of water can be. This concept of emergence has been studied extensively, but only occasionally discussed explicitly in the context of chemistry. In this paper, we aim to show the fruitfulness of the concept of emergence for ...Review Article -
Decentralized control in active distribution grids via supervised and reinforcement learning
(2024)Energy and AIWhile moving towards a low-carbon, sustainable electricity system, distribution networks are expected to host a large share of distributed generators, such as photovoltaic units and wind turbines. These inverter-based resources are intermittent, but also controllable, and are expected to amplify the role of distribution networks together with other distributed energy resources, such as storage systems and controllable loads. The available ...Journal Article -
Constraints on axion-like particles with the Perseus Galaxy Cluster with MAGIC
(2024)Physics of the Dark UniverseJournal Article -
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs
(2024)Mathematical Models and Methods in Applied SciencesThis paper is concerned with a regularity analysis of parametric operator equations with a perspective on uncertainty quantification. We study the regularity of mappings between Banach spaces near branches of isolated solutions that are implicitly defined by a residual equation. Under s-Gevrey assumptions on the residual equation, we establish s-Gevrey bounds on the Frechet derivatives of the locally defined data-to-solution mapping. This ...Journal Article -
Attitudes towards technology and their relationship with pro-environmental behaviour: Development and validation of the GATT scale
(2024)Journal of Environmental PsychologyBoth behavioural changes and technological advances are needed to mitigate climate change and solve environmental issues. While optimistic attitudes towards technology can help to increase public support for these technological advances, they could also attenuate the perceived necessity for pro-environmental behaviour change. This is problematic, as an overreliance on technological solutions at the cost of behavioural changes could decrease ...Journal Article -
Leptomeningeal collaterals regulate reperfusion in ischemic stroke and rescue the brain from futile recanalization
(2024)NeuronRecanalization is the mainstay of ischemic stroke treatment. However, even with timely clot removal, many stroke patients recover poorly. Leptomeningeal collaterals (LMCs) are pial anastomotic vessels with yet-unknown functions. We applied laser speckle imaging, ultrafast ultrasound, and two-photon microscopy in a thrombin-based mouse model of stroke and fibrinolytic treatment to show that LMCs maintain cerebral autoregulation and allow ...Journal Article -
State-Dependent DMC With a Causal Helper
(2024)IEEE Transactions on Information TheoryA memoryless state sequence governing the behavior of a memoryless state-dependent channel is to be described causally to an encoder wishing to communicate over said channel. Given the maximal-allowed description rate, we seek the description that maximizes the Shannon capacity. It is shown that the maximum need not be achieved by a memoryless (symbol-by-symbol) description. Such descriptions are, however, optimal when the receiver is ...Journal Article -
Reconstructing the Evolution of Foreland Fold-And-Thrust Belts Using U-Pb Calcite Dating: An Integrated Case-Study From the Easternmost Jura Mountains (Switzerland)
(2024)TectonicsThis case-study from the Jura Mountains in the foreland of the European Alps demonstrates how the coupling of subsurface analysis and U-Pb carbonate dating can provide absolute timing constraints and shortening rate estimates of fold-and-thrust belts. It is confirmed that the initial Late Cenozoic foreland deformation driving the formation of the easternmost Jura Mountains in Switzerland was predominately thin-skinned with contractional ...Journal Article