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Please caption this photo, taken today at Point Lobos, CA #trailrunning #random

Closed-loop Equilibria for Mean-Field Games in Randomly Switching Environments with General Discounting Costs
Hongwei Mei, Son Luu Nguyen, George Yin
https://arxiv.org/abs/2403.00227

Closed-loop Equilibria for Mean-Field Games in Randomly Switching Environments with General Discounting Costs
This work is devoted to finding the closed-loop equilibria for a class of mean-field games (MFGs) with infinitely many symmetric players in a common switching environment when the cost functional is under general discount in time. There are two key challenges in the application of the well-known Hamilton-Jacobi-Bellman and Fokker-Planck (HJB-FP) approach to our problems: the path-dependence due to the conditional mean-field interaction and the time-inconsistency due to the general discounting c…

This https://arxiv.org/abs/2310.18556 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Design-Based Causal Inference with Missing Outcomes: Missingness Mechanisms, Imputation-Assisted Randomization Tests, and Covariate Adjustment
Design-based causal inference, also known as randomization-based or finite-population causal inference, is one of the most widely used causal inference frameworks, largely due to the merit that its statistical validity can be guaranteed by the study design (e.g., randomized experiments) and does not require assuming specific outcome-generating distributions or super-population models. Despite its advantages, design-based causal inference can still suffer from other data-related issues, among wh…

The Parisi-Sourlas Uplift and Infinitely Many Solvable 4d CFTs
Emilio Trevisani
https://arxiv.org/abs/2405.00771 https://arxiv.org/pd…

The Parisi-Sourlas Uplift and Infinitely Many Solvable 4d CFTs
Parisi-Sourlas (PS) supersymmetry is known to emerge in some models with random field type of disorder. When PS SUSY is present the $d$-dimensional theory allows for a $d-2$-dimensional description. In this paper we investigate the reversed question and we provide new indications that any given CFT$_{d-2}$ can be uplifted to a PS SUSY CFT$_{d}$. We show that any scalar four-point function of a CFT$_{d-2}$ is mapped to a set of 43 four-point functions of the uplifted CFT$_{d}$ which are related …

#NicoleEggert #KellySlater
Season 3 Episode 14 "Strangers Among Us"
#RandomBaywatch #lvdlpx

Spin cones in random-field XY models
Rajiv G Pereira, Ananya Janardhanan, Mustansir Barma
https://arxiv.org/abs/2403.19939 https://ar…

Spin cones in random-field XY models
We determine the arrangement of spins in the ground state of the XY model with quenched, random fields, on a fully connected graph. Two types of disordered fields are considered, namely randomly oriented magnetic fields, and randomly oriented crystal fields. Orientations are chosen from a uniformly isotropic distribution, but disorder fluctuations in each realization of a finite system lead to a breaking of rotational symmetry. The result is an interesting pattern of spin orientations, found by…

Can FSK Be Optimised for Integrated Sensing and Communications?
Tian Han, Peter J Smith, Urbashi Mitra, Jamie S Evans, Rajitha Senanayake
https://arxiv.org/abs/2405.00945

Can FSK Be Optimised for Integrated Sensing and Communications?
Motivated by the ideal peak-to-average-power ratio and radar sensing capability of traditional frequency-coded radar waveforms, this paper considers the frequency shift keying (FSK) based waveform for joint communications and radar (JCR). An analysis of the probability distributions of its ambiguity function (AF) sidelobe levels (SLs) and peak sidelobe level (PSL) is conducted to study the radar sensing capability of random FSK. Numerical results show that the independent frequency modulation i…

Estimation of Quantile Functionals in Linear Model
Jana Jure\v{c}kov\'a, Jan Picek, Jan Kalina
https://arxiv.org/abs/2404.02764 https://

Estimation of Quantile Functionals in Linear Model
Various indicators and measures of the real life procedures rise up as functionals of the quantile process of a parent random variable Z. However, Z can be observed only through a response in a linear model whose covariates are not under our control and the probability distribution of error terms is generally unknown. The problem is that of nonparametric estimation or other inference for such functionals. We propose an estimation procedure based on the averaged two-step regression quantile, rec…

Cort's new toy is old
#DavidHasselhoff #JohnAllenNelson
Season 1 Episode 18 "Eclipse"
#RandomBaywatch

This https://arxiv.org/abs/2310.17009 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Simulation-based stacking
Simulation-based inference has been popular for amortized Bayesian computation. It is typical to have more than one posterior approximation, from different inference algorithms, different architectures, or simply the randomness of initialization and stochastic gradients. With a consistency guarantee, we present a general posterior stacking framework to make use of all available approximations. Our stacking method is able to combine densities, simulation draws, confidence intervals, and moments,…