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In this paper, we examine the Sample Average Approximation (SAA) procedure within a framework where the Monte Carlo estimator of the expectation is biased. We also introduce Multilevel Monte Carlo (MLMC) in the SAA setup to enhance the…

Computational Finance · Quantitative Finance 2024-07-29 Devang Sinha , Siddhartha P. Chakrabarty

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, which adjust control parameters in the course of simulation. We…

Methodology · Statistics 2016-12-08 Blazej Miasojedow , Wojciech Niemiro , Jan Palczewski , Wojciech Rejchel

We propose an unsupervised method to obtain cross-lingual embeddings without any parallel data or pre-trained word embeddings. The proposed model, which we call multilingual neural language models, takes sentences of multiple languages as…

Computation and Language · Computer Science 2018-09-10 Takashi Wada , Tomoharu Iwata

Sampling is a common strategy for generating text from probabilistic models, yet standard ancestral sampling often results in text that is incoherent or ungrammatical. To alleviate this issue, various modifications to a model's sampling…

Computation and Language · Computer Science 2024-01-08 Clara Meister , Tiago Pimentel , Luca Malagutti , Ethan G. Wilcox , Ryan Cotterell

Eliciting relevance judgments for ranking evaluation is labor-intensive and costly, motivating careful selection of which documents to judge. Unlike traditional approaches that make this selection deterministically, probabilistic sampling…

Information Retrieval · Computer Science 2016-04-26 Tobias Schnabel , Adith Swaminathan , Peter Frazier , Thorsten Joachims

We introduce neural particle smoothing, a sequential Monte Carlo method for sampling annotations of an input string from a given probability model. In contrast to conventional particle filtering algorithms, we train a proposal distribution…

Computation and Language · Computer Science 2018-05-01 Chu-Cheng Lin , Jason Eisner

It has been a common approach to pre-train a language model on a large corpus and fine-tune it on task-specific data. In practice, we observe that fine-tuning a pre-trained model on a small dataset may lead to over- and/or under-estimation…

Computation and Language · Computer Science 2020-07-14 Ning Miao , Yuxuan Song , Hao Zhou , Lei Li

Despite some empirical success at correcting exposure bias in machine translation, scheduled sampling algorithms suffer from a major drawback: they incorrectly assume that words in the reference translations and in sampled sequences are…

Computation and Language · Computer Science 2019-05-07 Weijia Xu , Xing Niu , Marine Carpuat

We study empirical scaling laws for language model performance on the cross-entropy loss. The loss scales as a power-law with model size, dataset size, and the amount of compute used for training, with some trends spanning more than seven…

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

Methodology · Statistics 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

Cross-lingual Summarization (CLS) aims at producing a summary in the target language for an article in the source language. Traditional solutions employ a two-step approach, i.e. translate then summarize or summarize then translate.…

Computation and Language · Computer Science 2020-10-20 Ruochen Xu , Chenguang Zhu , Yu Shi , Michael Zeng , Xuedong Huang

Continuous level Monte Carlo is an unbiased, continuous version of the celebrated multilevel Monte Carlo method. The approximation level is assumed to be continuous resulting in a stochastic process describing the quantity of interest.…

Numerical Analysis · Mathematics 2024-02-19 Cedric Aaron Beschle , Andrea Barth

Large language models (LLMs) have gained much attention in the recommendation community; some studies have observed that LLMs, fine-tuned by the cross-entropy loss with a full softmax, could achieve state-of-the-art performance already.…

Information Retrieval · Computer Science 2024-02-23 Cong Xu , Zhangchi Zhu , Jun Wang , Jianyong Wang , Wei Zhang

This paper presents a tool for addressing a key component in many algorithms for planning robot trajectories under uncertainty: evaluation of the safety of a robot whose actions are governed by a closed-loop feedback policy near a nominal…

Robotics · Computer Science 2017-06-05 Edward Schmerling , Marco Pavone

Prior works have shown that in-context learning is brittle to presentation factors such as the order, number, and choice of selected examples. However, ablation-based guidance on selecting the number of examples may ignore the interplay…

Computation and Language · Computer Science 2025-03-31 Stephanie Schoch , Yangfeng Ji

Solving partial differential equations in high dimensions by deep neural network has brought significant attentions in recent years. In many scenarios, the loss function is defined as an integral over a high-dimensional domain. Monte-Carlo…

Numerical Analysis · Mathematics 2019-11-06 Jingrun Chen , Rui Du , Panchi Li , Liyao Lyu

In this work we explore recent advances in Recurrent Neural Networks for large scale Language Modeling, a task central to language understanding. We extend current models to deal with two key challenges present in this task: corpora and…

Computation and Language · Computer Science 2016-02-15 Rafal Jozefowicz , Oriol Vinyals , Mike Schuster , Noam Shazeer , Yonghui Wu

Importance sampling Monte-Carlo methods are widely used for the approximation of expectations with respect to partially known probability measures. In this paper we study a deterministic version of such an estimator based on quasi-Monte…

Computation · Statistics 2024-12-20 Josef Dick , Daniel Rudolf , Houying Zhu

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

This paper proposes a synergy of amortised and particle-based methods for sampling from distributions defined by unnormalised density functions. We state a connection between sequential Monte Carlo (SMC) and neural sequential samplers…

Machine Learning · Computer Science 2025-10-14 Sanghyeok Choi , Sarthak Mittal , Víctor Elvira , Jinkyoo Park , Nikolay Malkin