Neural network field theories: non-Gaussianity, actions, and locality
Both the path integral measure in field theory (FT) and ensembles of neural networks (NN) describe distributions over functions. When the central limit theorem can be applied in the infinite-width (infinite- N ) limit, the ensemble of networks ...
Mehmet Demirtas +4 more
doaj +1 more source
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
Edgeworth expansions for multivariate random sums [PDF]
Abstract The sum of a random number of independent and identically distributed random vectors has a distribution which is not analytically tractable, in the general case. The problem has been addressed by means of asymptotic approximations embedding the number of summands in a stochastically increasing sequence.
Farrukh Javed +2 more
openaire +2 more sources
Intratemporal elasticity of substitution between private and public consumption: new evidence and implications. [PDF]
Francois JN, Keinsley A.
europepmc +1 more source
Global patterns of antigen receptor repertoire disruption across adaptive immune compartments in COVID-19. [PDF]
Joseph M +40 more
europepmc +1 more source
Correction to "On the Validity of the Formal Edgeworth Expansion"
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhattacharya, R. N., Ghosh, J. K.
openaire +3 more sources
The Special Issue in Honor of Anirudh Lal Nagar: An Introduction. [PDF]
Bao Y, Ullah A.
europepmc +1 more source
Analytical Expressions for Ising Models on High Dimensional Lattices. [PDF]
Kryzhanovsky B, Litinskii L, Egorov V.
europepmc +1 more source
A Two-sample Nonparametric Test for Circular Data- its Exact Distribution and Performance. [PDF]
Jammalamadaka SR +2 more
europepmc +1 more source
Edgeworth Expansions for Integrals of Smooth Functions
Let $X_1, X_2,\cdots$ be a sequence of independent, identically distributed random variables with $E(X_1) = 0, E(X_1^2) = 1$, and $E(X_1^4) < \infty$, and for $n = 1,2,\cdots$ let $P_n$ be the distribution of $n^-\frac{1}{2} \sum^n_{i=1} X_i$. If $f$ is a function with bounded uniformly continuous derivative of order 4, then $\int f dP_n$ has an ...
openaire +3 more sources

