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Several instance-based explainability methods for finding influential training examples for test-time decisions have been proposed recently, including Influence Functions, TraceIn, Representer Point Selection, Grad-Dot, and Grad-Cos.…

机器学习 · 计算机科学 2021-11-09 Karthikeyan K , Anders Søgaard

The problem of representative selection amounts to sampling few informative exemplars from large datasets. This paper presents MOSAIC, a novel representative selection approach from high-dimensional data that may exhibit non-linear…

机器学习 · 计算机科学 2020-03-16 Mahlagha Sedghi , George Atia , Michael Georgiopoulos

The efficacy of family-based approaches to mixture model-based clustering and classification depends on the selection of parsimonious models. Current wisdom suggests the Bayesian information criterion (BIC) for mixture model selection.…

统计方法学 · 统计学 2013-11-12 Sakyajit Bhattacharya , Paul D. McNicholas

Importance Sampling (IS), an effective variance reduction strategy in Monte Carlo (MC) simulation, is frequently utilized for Bayesian inference and other statistical challenges. Quasi-Monte Carlo (QMC) replaces the random samples in MC…

数值分析 · 数学 2024-03-19 Zhijian He , Hejin Wang , Xiaoqun Wang

The experiments covered by Machine Learning (ML) must consider two important aspects to assess the performance of a model: datasets and algorithms. Robust benchmarks are needed to evaluate the best classifiers. For this, one can adopt gold…

We go through the process of crafting a robust and numerically stable online algorithm for the computation of the Watanabe-Akaike information criteria (WAIC). We implement this algorithm in the NIMBLE software. The implementation is…

统计计算 · 统计学 2021-06-28 Joshua E. Hug , Christopher J. Paciorek

Most Item Response Theory (IRT) models for dichotomous responses are based on probit or logit link functions which assume a symmetric relationship between the probability of a correct response and the latent traits of individuals submitted…

统计方法学 · 统计学 2022-05-24 Flávio B. Gonçalves , Juliane Venturelli , Rosangela H. Loschi

The question of selecting the "best" amongst different choices is a common problem in statistics. In drug development, our motivating setting, the question becomes, for example: what is the dose that gives me a pre-specified risk of…

统计理论 · 数学 2018-03-15 Pavel Mozgunov , Thomas Jaki

Alignment has greatly improved large language models (LLMs)' output quality at the cost of diversity, yielding highly similar outputs across generations. We propose Base-Aligned Model Collaboration (BACo), an inference-time token-level…

计算与语言 · 计算机科学 2025-11-11 Yichen Wang , Chenghao Yang , Tenghao Huang , Muhao Chen , Jonathan May , Mina Lee

Deep learning is renowned for its theory-practice gap, whereby principled theory typically fails to provide much beneficial guidance for implementation in practice. This has been highlighted recently by the benign overfitting phenomenon:…

The semiparametric estimation approach, which includes inverse-probability-weighted and doubly robust estimation using propensity scores, is a standard tool in causal inference, and it is rapidly being extended in various directions. On the…

统计方法学 · 统计学 2022-12-29 Takamichi Baba , Yoshiyuki Ninomiya

The goal of this paper is to compare several widely used Bayesian model selection methods in practical model selection problems, highlight their differences and give recommendations about the preferred approaches. We focus on the variable…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari

Item Response Theory (IRT) and Factor Analysis (FA) are two major frameworks used to model multi-item measurements of latent traits. While the relationship between two-parameter IRT models and dichotomized FA models is well established, IRT…

统计方法学 · 统计学 2025-07-03 Ján Pavlech , Patrícia Martinková

Using predictive adaptive arithmetic coding and the Minimum Description Length principle, we derive an efficient tool for model selection problems : the RIC information criterion. We then present an extension of these coding techniques to…

统计方法学 · 统计学 2007-05-23 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

Item response theory (IRT) is a non-linear generative probabilistic paradigm for using exams to identify, quantify, and compare latent traits of individuals, relative to their peers, within a population of interest. In pre-existing…

机器学习 · 计算机科学 2019-12-06 Joshua C. Chang , Shashaank Vattikuti , Carson C. Chow

Assume that observations are generated from an infinite-order autoregressive [AR($\infty$)] process. Shibata [Ann. Statist. 8 (1980) 147--164] considered the problem of choosing a finite-order AR model, allowing the order to become infinite…

统计理论 · 数学 2007-06-13 Ching-Kang Ing , Ching-Zong Wei

Purpose: This study presents a Deep Learning (DL)-based quality assessment (QA) approach for evaluating auto-generated contours (auto-contours) in radiotherapy, with emphasis on Online Adaptive Radiotherapy (OART). Leveraging Bayesian…

计算机视觉与模式识别 · 计算机科学 2025-05-13 Biling Wang , Austen Maniscalco , Ti Bai , Siqiu Wang , Michael Dohopolski , Mu-Han Lin , Chenyang Shen , Dan Nguyen , Junzhou Huang , Steve Jiang , Xinlei Wang

This work proposes a fully distributed improved weighted average consensus (IWAC and WAC-AE) technique applied to cooperative spectrum sensing problem in cognitive radio systems. This method allows the secondary users cooperate based on…

信号处理 · 电气工程与系统科学 2018-10-08 Aislan Gabriel Hernandes , Mario Proenca Lemes Junior , Taufik Abrao

Given a random sample from a multivariate population, estimating the number of large eigenvalues of the population covariance matrix is an important problem in Statistics with wide applications in many areas. In the context of Principal…

统计理论 · 数学 2020-11-10 Abhinav Chakraborty , Soumendu Sundar Mukherjee , Arijit Chakrabarti

This paper develops new insights into quantitative methods for the validation of computational model prediction. Four types of methods are investigated, namely classical and Bayesian hypothesis testing, a reliability-based method, and an…

数据分析、统计与概率 · 物理学 2012-06-25 You Ling , Sankaran Mahadevan