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In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

统计方法学 · 统计学 2024-12-02 Masahiro Tanaka

While Large Language Models (LLMs) are increasingly envisioned as intelligent assistants for personalized learning, systematic head-to-head evaluations in authentic learning scenarios remain scarce. This study presents an empirical…

人工智能 · 计算机科学 2025-10-23 Bo Yuan , Jiazi Hu

Generalized linear models (GLMs) form one of the most popular classes of models in statistics. The gamma variant is used, for instance, in actuarial science for the modelling of claim amounts in insurance. A flaw of GLMs is that they are…

统计方法学 · 统计学 2024-02-12 Philippe Gagnon , Yuxi Wang

Human preference judgments are pivotal in guiding large language models (LLMs) to produce outputs that align with human values. Human evaluations are also used in summarization tasks to compare outputs from various systems, complementing…

计算与语言 · 计算机科学 2023-10-31 Yebowen Hu , Kaiqiang Song , Sangwoo Cho , Xiaoyang Wang , Hassan Foroosh , Fei Liu

We study Bayesian discriminative inference given a model family $p(c,\x, \theta)$ that is assumed to contain all our prior information but still known to be incorrect. This falls in between "standard" Bayesian generative modeling and…

机器学习 · 统计学 2008-11-18 Jarkko Salojärvi , Kai Puolamäki , Eerika Savia , Samuel Kaski

We study density estimation from pairwise comparisons, motivated by expert knowledge elicitation and learning from human feedback. We relate the unobserved target density to a tempered winner density (marginal density of preferred choices),…

机器学习 · 计算机科学 2026-03-26 Petrus Mikkola , Luigi Acerbi , Arto Klami

A test is adaptive when its sequence and number of questions is dynamically tuned on the basis of the estimated skills of the taker. Graphical models, such as Bayesian networks, are used for adaptive tests as they allow to model the…

人工智能 · 计算机科学 2021-09-29 Alessandro Antonucci , Francesca Mangili , Claudio Bonesana , Giorgia Adorni

The paper focuses on the a posteriori tuning of a generative model in order to favor the generation of good instances in the sense of some external differentiable criterion. The proposed approach, called Boltzmann Tuning of Generative…

人工智能 · 计算机科学 2021-04-13 Victor Berger , Michele Sebag

Machine learning models are vulnerable to adversarial attacks that can often cause misclassification by introducing small but well designed perturbations. In this paper, we explore, in the setting of classical composite hypothesis testing,…

机器学习 · 统计学 2020-11-17 Bhagyashree Puranik , Upamanyu Madhow , Ramtin Pedarsani

We consider the problem of sequential hypothesis testing by betting. For a general class of composite testing problems -- which include bounded mean testing, equal mean testing for bounded random tuples, and some key ingredients of…

统计理论 · 数学 2025-04-04 Ian Waudby-Smith , Ricardo Sandoval , Michael I. Jordan

Discrete state spaces represent a major computational challenge to statistical inference, since the computation of normalisation constants requires summation over large or possibly infinite sets, which can be impractical. This paper…

统计方法学 · 统计学 2023-09-04 Takuo Matsubara , Jeremias Knoblauch , François-Xavier Briol , Chris. J. Oates

The $\lambda$-exponential family generalizes the standard exponential family via a generalized convex duality motivated by optimal transport. It is the constant-curvature analogue of the exponential family from the information-geometric…

统计理论 · 数学 2025-05-07 Xiwei Tian , Ting-Kam Leonard Wong , Jiaowen Yang , Jun Zhang

Evaluating the pedagogical quality of AI tutors remains challenging: standard NLG metrics do not determine whether responses identify mistakes, scaffold reasoning, or avoid revealing the answers. For the task of mistake remediation, we…

计算与语言 · 计算机科学 2026-03-26 Kseniia Petukhova , Ekaterina Kochmar

Consider a finite population of $N$ items, where item $i$ has a probability $p_i$ to be defective. The goal is to identify all items by means of group testing. This is the generalized group testing problem (hereafter GGTP). In the case of…

其他统计学 · 统计学 2020-02-28 Yaakov Malinovsky

The method of generalized estimating equations (GEE) is popular in the biostatistics literature for analyzing longitudinal binary and count data. It assumes a generalized linear model (GLM) for the outcome variable, and a working…

统计方法学 · 统计学 2016-06-03 Aristidis K. Nikoloulopoulos

Unnormalized (or energy-based) models provide a flexible framework for capturing the characteristics of data with complex dependency structures. However, the application of standard Bayesian inference methods has been severely limited…

统计方法学 · 统计学 2026-03-11 Naruki Sonobe , Shonosuke Sugasawa , Daichi Mochihashi , Takeru Matsuda

The proposed BSDE-based diffusion model represents a novel approach to diffusion modeling, which extends the application of stochastic differential equations (SDEs) in machine learning. Unlike traditional SDE-based diffusion models, our…

机器学习 · 计算机科学 2023-04-27 Zihao Wang

Comparative judgement studies elicit quality assessments through pairwise comparisons, typically analysed using the Bradley-Terry model. A challenge in these studies is experimental design, specifically, determining the optimal pairs to…

统计方法学 · 统计学 2026-03-24 Jiahua Jiang , Joseph Marsh , Rowland G Seymour

Aligning Large Language Models (LLMs) with human preferences is crucial in ensuring desirable and controllable model behaviors. Current methods, such as Reinforcement Learning from Human Feedback (RLHF) and Direct Preference Optimization…

计算与语言 · 计算机科学 2025-10-24 Yang Zhao , Yixin Wang , Mingzhang Yin

Variational inference has recently emerged as a popular alternative to the classical Markov chain Monte Carlo (MCMC) in large-scale Bayesian inference. The core idea is to trade statistical accuracy for computational efficiency. In this…

机器学习 · 统计学 2023-08-08 Kush Bhatia , Nikki Lijing Kuang , Yi-An Ma , Yixin Wang