Category
Measure theory
Related publications (575)
Extensions of Peer Prediction Incentive Mechanisms
As large, data-driven artificial intelligence models become ubiquitous, guaranteeing high data quality is imperative for constructing models. Crowdsourcing, community sensing, and data filtering have long been the standard approaches to guaranteeing or imp ...
EPFL2024Stability of the Faber-Krahn inequality for the short-time Fourier transform
We prove a sharp quantitative version of the Faber–Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how much the STFT of a function fails to be optimally concentrated on an arbitrary set of pos ...
Springer Heidelberg2024Resolving the vicinity of supermassive black holes with gravitational microlensing
Upcoming wide-field surveys will discover thousands of new strongly lensed quasars which will be monitored with unprecedented cadence by the Legacy Survey of Space and Time (LSST). Many of these quasars will undergo caustic-crossing events over the 10-yr L ...
Oxford Univ Press2024Small-amplitude Red Giants Elucidate the Nature of the Tip of the Red Giant Branch as a Standard Candle
Richard Irving Anderson, Nolan Wayne Koblischke
The tip of the red giant branch (TRGB) is an important standard candle for determining luminosity distances. Although several 105 small-amplitude red giant stars (SARGs) have been discovered, variability was previously considered irrelevant for the TRGB as ...
Bristol2024Generalization of Scaled Deep ResNets in the Mean-Field Regime
Volkan Cevher, Grigorios Chrysos, Fanghui Liu
Despite the widespread empirical success of ResNet, the generalization properties of deep ResNet are rarely explored beyond the lazy training regime. In this work, we investigate scaled ResNet in the limit of infinitely deep and wide neural networks, of wh ...
2024Mean value theorems for collections of lattices with a prescribed group of symmetries
Euclidean lattices are mathematical objects of increasing interest in the fields of cryptography and error-correcting codes. This doctoral thesis is a study on high-dimensional lattices with the motivation to understand how efficient they are in terms of b ...
EPFL2024Multiplicative chaos of the Brownian loop soup
Antoine Pierre François Jego, Titus Lupu
We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity theta>0, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...
WILEY2023Impact of Redundancy on Resilience in Distributed Optimization and Learning
This paper considers the problem of resilient distributed optimization and stochastic learning in a server-based architecture. The system comprises a server and multiple agents, where each agent has its own local cost function. The agents collaborate with ...
New York2023Appropriations and Uses of Travel Time
Ludy Juliana González Villamizar
Time has always been a central factor in understanding the challenges of daily mobility. For a long time, and still today, methods of economic evaluation of transport projects have monetized time savings so that they can be included in the cost–benefit ana ...
ISTE Wiley2023Measurement of the 171Tm beta spectrum
Lesya Shchutska, Alexey Boyarsky
The beta spectrum of the main transition of the 171Tm was measured using a double focalizing spectrometer. The instrument was lately improved in order to reduce its low energy threshold to 34 keV. We used the spectrometer to measure the energy end-point of ...
2023