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Large-scale optimization problems are ubiquitous in the physical sciences; yet, high-fidelity models can often be complex and computationally prohibitive for optimization. A practical alternative is to use a low-fidelity model to facilitate…

Numerical Analysis · Mathematics 2026-04-03 Madhusudan Madhavan , Joseph Hart , Bart van Bloemen Waanders

We propose new low-fidelity (LoFi) user equipment (UE) scheduling algorithms for multiuser multiple-input multiple-output (MIMO) wireless communication systems. The proposed methods rely on an efficient guess-and-check procedure that, given…

Information Theory · Computer Science 2024-01-09 Alexandra Gallyas-Sanhueza , Gian Marti , Victoria Palhares , Reinhard Wiesmayr , Christoph Studer

Simulation-based inference (SBI) offers a flexible and general approach to performing Bayesian inference: In SBI, a neural network is trained on synthetic data simulated from a model and used to rapidly infer posterior distributions for…

Machine Learning · Computer Science 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

Computation · Statistics 2019-03-28 Chi Feng , Youssef M. Marzouk

High-dimensional Bayesian inverse analysis (dim >> 100) is mostly unfeasible for computationally demanding, nonlinear physics-based high-fidelity (HF) models. Usually, the use of more efficient gradient-based inference schemes is impeded if…

Computational Engineering, Finance, and Science · Computer Science 2025-09-22 Jonas Nitzler , Bugrahan Z. Temür , Phaedon-Stelios Koutsourelakis , Wolfgang A. Wall

Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

Machine Learning · Statistics 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

Inference scaling helps LLMs solve complex reasoning problems through extended runtime computation. On top of long chain-of-thought (long-CoT) models, purely inference-time techniques such as best-of-N (BoN) sampling, majority voting, or…

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

Survey data often arises from complex sampling designs, such as stratified or multistage sampling, with unequal inclusion probabilities. When sampling is informative, traditional inference methods yield biased estimators and poor coverage.…

Methodology · Statistics 2025-04-17 Snigdha Das , Dipankar Bandyopadhyay , Debdeep Pati

Empirical likelihood is a popular nonparametric statistical tool that does not require any distributional assumptions. In this paper, we explore the possibility of conducting variable selection via Bayesian empirical likelihood. We show…

Methodology · Statistics 2022-06-13 Yichen Cheng , Yichuan Zhao

Optimal data detection in massive multiple-input multiple-output (MIMO) systems often requires prohibitively high computational complexity. A variety of detection algorithms have been proposed in the literature, offering different…

Econometrics · Economics 2025-07-02 Yong Li , Sushanta K. Mallick , Tao Zeng , Junxing Zhang

In recent years, methods of approximate parameter estimation have attracted considerable interest in complex problems where exact likelihoods are hard to obtain. In their most basic form, Bayesian methods such as Approximate Bayesian…

Computation · Statistics 2015-07-17 Johanna Bertl , Gregory Ewing , Carolin Kosiol , Andreas Futschik

The explosion in high-resolution data capture technologies in health has increased interest in making inferences about individual-level parameters. While technology may provide substantial data on a single individual, how best to use…

Methodology · Statistics 2021-12-16 Ziyu Ji , Julian Wolfson

Solving Bayesian inference problems approximately with variational approaches can provide fast and accurate results. Capturing correlation within the approximation requires an explicit parametrization. This intrinsically limits this…

Machine Learning · Statistics 2020-01-31 Jakob Knollmüller , Torsten A. Enßlin

How to efficiently identify multiple-input multiple-output (MIMO) linear parameter-varying (LPV) discrete-time state-space (SS) models with affine dependence on the scheduling variable still remains an open question, as identification…

Systems and Control · Computer Science 2020-05-11 Pepijn B. Cox , Roland Tóth , Mihály Petreczky

Variational inference is an umbrella term for algorithms which cast Bayesian inference as optimization. Classically, variational inference uses the Kullback-Leibler divergence to define the optimization. Though this divergence has been…

Machine Learning · Statistics 2018-03-16 Rajesh Ranganath , Jaan Altosaar , Dustin Tran , David M. Blei

We present a novel algorithm for generating robust and consistent hypotheses for multiple-structure model fitting. Most of the existing methods utilize random sampling which produce varying results especially when outlier ratio is high. For…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Kwang Hee Lee , Chanki Yu , Sang Wook Lee

Integrating probability and non-probability samples is increasingly important, yet unknown sampling mechanisms in non-probability sources complicate identification and efficient estimation. We develop semiparametric theory for dual-frame…

Methodology · Statistics 2026-01-14 Kosuke Morikawa , Jae Kwang Kim

The fate of scientific hypotheses often relies on the ability of a computational model to explain the data, quantified in modern statistical approaches by the likelihood function. The log-likelihood is the key element for parameter…

Machine Learning · Computer Science 2021-01-27 Bas van Opheusden , Luigi Acerbi , Wei Ji Ma

Additive smooth models, such as Generalized additive models (GAMs) of location, scale, and shape (GAMLSS), are a popular choice for modeling experimental data. However, software available to fit such models is usually not tailored…

Methodology · Statistics 2025-06-17 Joshua Krause , Jelmer P. Borst , Jacolien van Rij
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