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We study metric learning from preference comparisons under the ideal point model, in which a user prefers an item over another if it is closer to their latent ideal item. These items are embedded into $\mathbb{R}^d$ equipped with an unknown…

机器学习 · 计算机科学 2024-07-15 Zhi Wang , Geelon So , Ramya Korlakai Vinayak

The latent multinomial model (LMM) model of Link et al. (2010) provided a general framework for modelling mark-recapture data with potential errors in identification. Key to this approach was a Markov chain Monte Carlo (MCMC) scheme for…

统计方法学 · 统计学 2015-04-03 Simon J Bonner , Matthew R Schofield , Patrik Noren , Steven J Price

Supervised topic models simultaneously model the latent topic structure of large collections of documents and a response variable associated with each document. Existing inference methods are based on variational approximation or Monte…

机器学习 · 计算机科学 2016-02-22 Yong Ren , Yining Wang , Jun Zhu

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

机器学习 · 统计学 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

Large language models (LLMs) have achieved remarkable performance on diverse benchmarks, yet existing evaluation practices largely rely on coarse summary metrics that obscure underlying reasoning abilities. In this work, we propose novel…

统计方法学 · 统计学 2026-03-17 Jia Liu , Zhiyu Xu , Yuqi Gu

Unmeasured covariates constitute one of the important problems in causal inference. Even if there are some unmeasured covariates, some instrumental variable methods such as a two-stage residual inclusion (2SRI) estimator, or a…

统计方法学 · 统计学 2021-12-30 Shunichiro Orihara

Parameter-efficient methods are able to use a single frozen pre-trained large language model (LLM) to perform many tasks by learning task-specific soft prompts that modulate model behavior when concatenated to the input text. However, these…

计算与语言 · 计算机科学 2022-08-12 Brian Lester , Joshua Yurtsever , Siamak Shakeri , Noah Constant

We study the error rate of LLMs on tasks like arithmetic that require a deterministic output, and repetitive processing of tokens drawn from a small set of alternatives. We argue that incorrect predictions arise when small errors in the…

机器学习 · 计算机科学 2026-01-21 Suvrat Raju , Praneeth Netrapalli

Analyses of heterogeneous treatment effects (HTE) are common in applied causal inference research. However, when outcomes are latent variables assessed via psychometric instruments such as educational tests, standard methods ignore the…

计量经济学 · 经济学 2025-06-27 Joshua B. Gilbert , Zachary Himmelsbach , James Soland , Mridul Joshi , Benjamin W. Domingue

We propose a multilevel Markov chain Monte Carlo (MCMC) method for the Bayesian inference of random field parameters in PDEs using high-resolution data. Compared to existing multilevel MCMC methods, we additionally consider level-dependent…

数值分析 · 数学 2025-08-19 Pieter Vanmechelen , Geert Lombaert , Giovanni Samaey

Evaluating models and datasets in computer vision remains a challenging task, with most leaderboards relying solely on accuracy. While accuracy is a popular metric for model evaluation, it provides only a coarse assessment by considering a…

计算机视觉与模式识别 · 计算机科学 2024-09-09 Rahul Ramachandran , Tejal Kulkarni , Charchit Sharma , Deepak Vijaykeerthy , Vineeth N Balasubramanian

In this work, we revisit the estimation of the model parameters of a Weibull distribution based on iid observations, using the maximum likelihood estimation (MLE) method which does not yield closed expressions of the estimators. Among other…

统计计算 · 统计学 2025-01-22 Buu-Chau Truong , Peter Mphekgwana , Nabendu Pal

This paper presents a novel method for utilizing fine-tuned Large Language Models (LLMs) to minimize data requirements in load profile analysis, demonstrated through the restoration of missing data in power system load profiles. A two-stage…

机器学习 · 计算机科学 2024-06-05 Yi Hu , Hyeonjin Kim , Kai Ye , Ning Lu

In this paper, we present a generalisation of the Multilevel Monte Carlo (MLMC) method to a setting where the level parameter is a continuous variable. This Continuous Level Monte Carlo (CLMC) estimator provides a natural framework in PDE…

数值分析 · 数学 2018-02-22 Gianluca Detommaso , Tim Dodwell , Rob Scheichl

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

统计方法学 · 统计学 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

Point and interval estimation of future disability inception and recovery rates are predominantly carried out by combining generalized linear models (GLM) with time series forecasting techniques into a two-step method involving parameter…

应用统计 · 统计学 2014-12-24 Boualem Djehiche , Björn Löfdahl

This paper studies the high-dimensional mixed linear regression (MLR) where the output variable comes from one of the two linear regression models with an unknown mixing proportion and an unknown covariance structure of the random…

统计方法学 · 统计学 2020-11-10 Linjun Zhang , Rong Ma , T. Tony Cai , Hongzhe Li

The proliferation of Large Language Models (LLMs) necessitates valid evaluation methods to guide downstream applications and actionable future improvements. The Item Response Theory (IRT) has recently emerged as a promising framework for…

统计方法学 · 统计学 2025-12-12 Zhiyu Xu , Jia Liu , Yixin Wang , Yuqi Gu

We demonstrate two sampling procedures assisted by machine learning models via regression and classification. The main objective is the use of a neural network to suggest points likely inside regions of interest, reducing the number of…

高能物理 - 唯象学 · 物理学 2024-12-05 A. Hammad , Myeonghun Park , Raymundo Ramos , Pankaj Saha

We introduce an aggregation framework to address multi-stage stochastic programs with mixed-integer state variables and continuous local variables (MSILPs). Our aggregation framework imposes additional structure to the integer state…

最优化与控制 · 数学 2023-05-11 Margarita P. Castro , Merve Bodur , Yongjia Song