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The inferential models (IM) framework provides prior-free, frequency-calibrated, posterior probabilistic inference. The key is the use of random sets to predict unobservable auxiliary variables connected to the observable data and unknown…

统计理论 · 数学 2016-01-26 Ryan Martin , Chuanhai Liu

Analyzing concentration of large random matrices is a common task in a wide variety of fields. Given independent random variables, many tools are available to analyze random matrices whose entries are linear in the variables, e.g. the…

计算复杂性 · 计算机科学 2023-01-19 Goutham Rajendran , Madhur Tulsiani

Forensic Memory Analysis (FMA) and Virtual Machine Introspection (VMI) are critical tools for security in a virtualization-based approach. VMI and FMA involves using digital forensic methods to extract information from the system to…

密码学与安全 · 计算机科学 2025-03-10 Christofer Fellicious , Hans P. Reiser , Michael Granitzer

This work highlights an approach for incorporating realistic uncertainties into scientific computing workflows based on finite elements, focusing on applications in computational mechanics and design optimization. We leverage Mat\'ern-type…

计算工程、金融与科学 · 计算机科学 2024-08-09 Tobias Duswald , Brendan Keith , Boyan Lazarov , Socratis Petrides , Barbara Wohlmuth

We propose a novel distribution-free scheme to solve optimization problems where the goal is to minimize the expected value of a cost function subject to probabilistic constraints. Unlike standard sampling-based methods, our idea consists…

最优化与控制 · 数学 2025-05-28 Francesco Cordiano , Matin Jafarian , Bart De Schutter

In this work, we present a machine learning approach for reducing the error when numerically solving time-dependent partial differential equations (PDE). We use a fully convolutional LSTM network to exploit the spatiotemporal dynamics of…

机器学习 · 计算机科学 2020-02-11 Ben Stevens , Tim Colonius

Autoencoders have been widely used for dimensional reduction and feature extraction. Various types of autoencoders have been proposed by introducing regularization terms. Most of these regularizations improve representation learning by…

机器学习 · 计算机科学 2020-06-26 Yuzhu Guo , Kang Pan , Simeng Li , Zongchang Han , Kexin Wang , Li Li

We provide a detailed user guide for SMARTIES, a suite of Matlab codes for the calculation of the optical properties of oblate and prolate spheroidal particles, with comparable capabilities and ease-of-use as Mie theory for spheres.…

光学 · 物理学 2016-02-08 W. R. C. Somerville , B. Auguié , E. C. Le Ru

Increasingly, software is making autonomous decisions in case of criminal sentencing, approving credit cards, hiring employees, and so on. Some of these decisions show bias and adversely affect certain social groups (e.g. those defined by…

机器学习 · 计算机科学 2021-07-12 Joymallya Chakraborty , Suvodeep Majumder , Tim Menzies

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

统计方法学 · 统计学 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

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…

机器学习 · 计算机科学 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Mathematical programming formulations of influence diagrams can bridge the gap between representing and solving decision problems. However, they suffer from both modeling and computational limitations. Aiming to address modeling…

最优化与控制 · 数学 2025-06-19 Olli Herrala , Tommi Ekholm , Fabricio Oliveira

Data collected in the real world often encapsulates historical discrimination against disadvantaged groups and individuals. Existing fair machine learning (FairML) research has predominantly focused on mitigating discriminative bias in the…

机器学习 · 计算机科学 2024-06-19 Zhining Liu , Ruizhong Qiu , Zhichen Zeng , Yada Zhu , Hendrik Hamann , Hanghang Tong

Feature selection is used to eliminate redundant features and keep relevant features, it can enhance machine learning algorithm's performance and accelerate computing speed. In various methods, mutual information has attracted increasingly…

信息论 · 计算机科学 2023-06-28 Gaoshuai Wang , Fabrice Lauri , Pu Wang , Hongyuan Luo , Amir Hajjam lL Hassani

Detecting out-of-distribution (OOD) samples is essential for neural networks operating in open-world settings, particularly in safety-critical applications. Existing methods have improved OOD detection by leveraging two main techniques:…

计算机视觉与模式识别 · 计算机科学 2025-09-01 Lucas Rakotoarivony

The current gold standard for unambiguous identification in metabolomics analysis is based on comparing two or more orthogonal properties from the analysis of authentic, pure reference materials (standards) to experimental data acquired in…

Recently, many causal estimators for Conditional Average Treatment Effect (CATE) and instrumental variable (IV) problems have been published and open sourced, allowing to estimate granular impact of both randomized treatments (such as A/B…

机器学习 · 计算机科学 2022-12-21 Egor Kraev , Timo Flesch , Hudson Taylor Lekunze , Mark Harley , Pere Planell Morell

Neural operators excel as deterministic surrogates, but inevitably collapse to the conditional mean when applied to stochastic PDEs, discarding the variance and tail structure upon which uncertainty quantification depends. Recovering this…

机器学习 · 计算机科学 2026-05-18 Kai Hidajat

As computational challenges in optimization and statistical inference grow ever harder, algorithms that utilize derivatives are becoming increasingly more important. The implementation of the derivatives that make these algorithms so…

数学软件 · 计算机科学 2015-09-25 Bob Carpenter , Matthew D. Hoffman , Marcus Brubaker , Daniel Lee , Peter Li , Michael Betancourt

A primary goal of string phenomenology is to identify realistic four-dimensional physics within the landscape of string theory solutions. In F-theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study…

高能物理 - 理论 · 物理学 2025-09-18 Martin Bies , Miķelis E. Miķelsons , Andrew P. Turner