Search Results - Institute of Mathematical Statistics (IMS)
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Penalising Model Component Complexity: A Principled, Practical Approach to Constructing Priors
Published in Statistical science (01-02-2017)“…In this paper, we introduce a new concept for constructing prior distributions. We exploit the natural nested structure inherent to many model components,…”
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NONASYMPTOTIC CONVERGENCE ANALYSIS FOR THE UNADJUSTED LANGEVIN ALGORITHM
Published in The Annals of applied probability (01-06-2017)“…In this paper, we study a method to sample from a target distribution π over ℝd having a positive density with respect to the Lebesgue measure, known up to a…”
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3
The van Trees Inequality in the Spirit of Hájek and Le Cam
Published in Statistical science (01-11-2024)“…We work out a version of the van Trees inequality in a Hajek--Le Cam spirit, i.e., under minimal assumptions that, in particular, involve no direct pointwise…”
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4
A RANDOM MATRIX APPROACH TO NEURAL NETWORKS
Published in The Annals of applied probability (01-04-2018)“…This article studies the Gram random matrix model G = 1 T Σ ⊺ Σ , Σ = σ ( W X ) , classically found in the analysis of random feature maps and random neural…”
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AFFINE VOLTERRA PROCESSES
Published in The Annals of applied probability (01-10-2019)“…We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions…”
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6
On Particle Methods for Parameter Estimation in State-Space Models
Published in Statistical science (01-08-2015)“…Nonlinear non-Gaussian state-space models are ubiquitous in statistics, econometrics, information engineering and signal processing. Particle methods, also…”
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7
Convergence Rate of the Euler-Maruyama Scheme Applied to Diffusion Processes with L Q − L ρ Drift Coefficient and Additive Noise
Published in The Annals of applied probability (01-02-2024)“…We are interested in the time discretization of stochastic differential equations with additive d-dimensional Brownian noise and L q − L ρ drift coefficient…”
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8
From the master equation to mean field game limit theory: a central limit theorem
Published in Electronic journal of probability (01-01-2019)“…Mean field games (MFGs) describe the limit, as $n$ tends to infinity, of stochastic differential games with $n$ players interacting with one another through…”
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FREIDLIN–WENTZELL LDP IN PATH SPACE FOR MCKEAN–VLASOV EQUATIONS AND THE FUNCTIONAL ITERATED LOGARITHM LAW
Published in The Annals of applied probability (01-06-2019)“…We show two Freidlin–Wentzell-type Large Deviations Principles (LDP) in path space topologies (uniform and Hölder) for the solution process of McKean–Vlasov…”
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10
PERFECT HEDGING IN ROUGH HESTON MODELS
Published in The Annals of applied probability (01-12-2018)“…Rough volatility models are known to reproduce the behavior of historical volatility data while at the same time fitting the volatility surface remarkably…”
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11
Large deviation Local Limit Theorems and limits of biconditioned Trees and Maps
Published in The Annals of applied probability (01-10-2023)“…We first establish new local limit estimates for the probability that a nondecreasing integer-valued random walk lies at time $n$ at an arbitrary value,…”
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12
The bi-dimensional Directed IDLA forest
Published in The Annals of applied probability (01-06-2023)“…We investigate three types of internal diffusion limited aggregation (IDLA) models. These models are based on simple random walks on Z2 with infinitely many…”
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13
Time-uniform log-Sobolev inequalities and applications to propagation of chaos
Published in Electronic journal of probability (30-10-2024)“…Time-uniform log-Sobolev inequalities (LSI) satisfied by solutions of semi-linear meanfield equations have recently appeared to be a key tool to obtain…”
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14
Statistical Modeling of Spatial Extremes
Published in Statistical science (01-05-2012)“…The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding…”
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15
Multiple Imputation for Multilevel Data with Continuous and Binary Variables
Published in Statistical science (01-05-2018)“…We present and compare multiple imputation methods for multilevel continuous and binary data where variables are systematically and sporadically missing. The…”
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16
Generalized Multiple Importance Sampling
Published in Statistical science (01-02-2019)“…Importance sampling (IS) methods are broadly used to approximate posterior distributions or their moments. In the standard IS approach, samples are drawn from…”
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17
Causal Inference Methods for Combining Randomized Trials and Observational Studies: A Review
Published in Statistical science (01-02-2024)“…With increasing data availability, causal effects can be evaluated across different data sets, both randomized controlled trials (RCTs) and observational…”
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18
On hydrodynamic limits in Sinai-type random environments
Published in The Annals of applied probability (2023)“…We investigate the hydrodynamical behavior of a system of random walks with zero-range interactions moving in a common `Sinai-type' random environment on a one…”
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Full $\Gamma$-expansion of reversible Markov chains level two large deviations rate functionals
Published in The Annals of applied probability (2023)“…Let $\Xi_n \subset \mathbb R^d$, $n\ge 1$, be a sequence of finite sets and consider a $\Xi_n$-valued, irreducible, reversible, continuous-time Markov chain…”
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20
Adaptive force biasing algorithms: New convergence results and tensor approximations of the bias
Published in The Annals of applied probability (01-10-2022)Get full text
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