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We develop a theory of estimation when in addition to a sample of $n$ observed outcomes the underlying probabilities of the observed outcomes are known, as is typically the case in the context of numerical simulation modeling, e.g. in…

Methodology · Statistics 2023-04-14 Jobst Heitzig

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

Data Analysis, Statistics and Probability · Physics 2019-02-25 Glen Cowan

A variance reduction technique in nonparametric smoothing is proposed: at each point of estimation, form a linear combination of a preliminary estimator evaluated at nearby points with the coefficients specified so that the asymptotic bias…

Statistics Theory · Mathematics 2007-08-22 Ming-Yen Cheng , Liang Peng , Jyh-Shyang Wu

While Large Language Models (LLMs) have demonstrated remarkable capabilities across diverse natural language processing tasks, aligning these models with varying human preferences across multiple objectives remains a significant challenge…

Computation and Language · Computer Science 2025-11-17 Biao Liu , Ning Xu , Junming Yang , Xin Geng

For personalized ranking models, the well-calibrated probability of an item being preferred by a user has great practical value. While existing work shows promising results in image classification, probability calibration has not been much…

Information Retrieval · Computer Science 2022-04-27 Wonbin Kweon , SeongKu Kang , Hwanjo Yu

Denoising diffusion probabilistic models (DDPM) are a class of generative models which have recently been shown to produce excellent samples. We show that with a few simple modifications, DDPMs can also achieve competitive log-likelihoods…

Machine Learning · Computer Science 2021-02-22 Alex Nichol , Prafulla Dhariwal

Preference-based reinforcement learning (RL) provides a framework to train agents using human preferences between two behaviors. However, preference-based RL has been challenging to scale since it requires a large amount of human feedback…

Machine Learning · Computer Science 2023-03-03 Changyeon Kim , Jongjin Park , Jinwoo Shin , Honglak Lee , Pieter Abbeel , Kimin Lee

A standard approach to computing expectations with respect to a given target measure is to introduce an overdamped Langevin equation which is reversible with respect to the target distribution, and to approximate the expectation by a…

Numerical Analysis · Mathematics 2016-04-20 A. B. Duncan , T. Lelievre , G. A. Pavliotis

Estimating consumer preferences is central to many problems in economics and marketing. This paper develops a flexible framework for learning individual preferences from partial ranking information by interpreting observed rankings as…

Machine Learning · Statistics 2026-02-19 Yu-Chang Chen , Chen Chian Fuh , Shang En Tsai

Reward models are central to aligning language models with human preferences via reinforcement learning (RL). As RL is increasingly applied to settings such as verifiable rewards and multi-objective alignment, RMs are expected to encode…

Machine Learning · Computer Science 2026-05-21 Jiwoo Hong , Shao Tang , Zhipeng Wang

We construct a semiparametric estimator in case-control studies where the gene and the environment are assumed to be independent. A discrete or continuous parametric distribution of the genes is assumed in the model. A discrete distribution…

Statistics Theory · Mathematics 2010-10-12 Yanyuan Ma

Large language models often achieve strong benchmark gains without corresponding improvements in broader capability. We hypothesize that this discrepancy arises from differences in training regimes induced by data distribution. To…

Machine Learning · Computer Science 2026-04-10 Hongjian Zou , Yidan Wang , Qi Ding , Yixuan Liao , Xiaoxin Chen

Preference optimization techniques, such as Direct Preference Optimization (DPO), are frequently employed to enhance the reasoning capabilities of large language models (LLMs) in domains like mathematical reasoning and coding, typically…

Computation and Language · Computer Science 2025-02-17 Fangkai Jiao , Geyang Guo , Xingxing Zhang , Nancy F. Chen , Shafiq Joty , Furu Wei

Iterative data generation and model retraining are widely used to align large language models (LLMs). It typically involves a policy model to generate on-policy responses and a reward model to guide training data selection. Direct…

Computation and Language · Computer Science 2025-07-01 Yao Xiao , Hai Ye , Linyao Chen , Hwee Tou Ng , Lidong Bing , Xiaoli Li , Roy Ka-wei Lee

When primed with only a handful of training samples, very large, pretrained language models such as GPT-3 have shown competitive results when compared to fully-supervised, fine-tuned, large, pretrained language models. We demonstrate that…

Computation and Language · Computer Science 2022-03-04 Yao Lu , Max Bartolo , Alastair Moore , Sebastian Riedel , Pontus Stenetorp

This article investigates the asymptotic distribution of penalized estimators with non-differentiable penalties designed to recover low-dimensional pattern structures. Patterns play a central role in estimation, as they reveal the…

Statistics Theory · Mathematics 2025-11-18 Ivan Hejný , Jonas Wallin , Małgorzata Bogdan

To improve human-preference alignment training, current research has developed numerous preference datasets consisting of preference pairs labeled as "preferred" or "dispreferred". These preference pairs are typically used to encode human…

Computation and Language · Computer Science 2024-10-08 Chenglong Wang , Yang Gan , Yifu Huo , Yongyu Mu , Qiaozhi He , Murun Yang , Tong Xiao , Chunliang Zhang , Tongran Liu , Jingbo Zhu

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

Bandit algorithms are guaranteed to solve diverse sequential decision-making problems, provided that a sufficient exploration budget is available. However, learning from scratch is often too costly for personalization tasks where a single…

Machine Learning · Computer Science 2025-08-08 Newton Mwai , Emil Carlsson , Fredrik D. Johansson

Preference-based reinforcement learning is an effective way to handle tasks where rewards are hard to specify but can be exceedingly inefficient as preference learning is often tabula rasa. We demonstrate that Large Language Models (LLMs)…

Artificial Intelligence · Computer Science 2025-04-04 Chao Yu , Qixin Tan , Hong Lu , Jiaxuan Gao , Xinting Yang , Yu Wang , Yi Wu , Eugene Vinitsky
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