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While neural networks are achieving high predictive accuracy in multi-horizon probabilistic forecasting, understanding the underlying mechanisms that lead to feature-conditioned outputs remains a significant challenge for forecasters. In…

Machine Learning · Computer Science 2025-09-18 Alessandro Brusaferri , Danial Ramin , Andrea Ballarino

Despite the effectiveness of recurrent neural network language models, their maximum likelihood estimation suffers from two limitations. It treats all sentences that do not match the ground truth as equally poor, ignoring the structure of…

Computation and Language · Computer Science 2018-05-15 Maha Elbayad , Laurent Besacier , Jakob Verbeek

Machine learning practitioners often face significant challenges in formally integrating their prior knowledge and beliefs into predictive models, limiting the potential for nuanced and context-aware analyses. Moreover, the expertise needed…

Machine Learning · Statistics 2024-12-23 James Requeima , John Bronskill , Dami Choi , Richard E. Turner , David Duvenaud

Large Language Models (LLMs) are pivotal in advancing natural language processing but often struggle with complex reasoning tasks due to inefficient attention distributions. In this paper, we explore the effect of increased computed tokens…

Computation and Language · Computer Science 2024-06-25 Bingli Liao , Danilo Vasconcellos Vargas

Reinforcement Learning (RL) for Large Language Models (LLMs) often suffers from training collapse in long-horizon tasks due to exploding gradient variance. To mitigate this, a baseline is commonly introduced for advantage computation;…

Quantile regression is increasingly encountered in modern big data applications due to its robustness and flexibility. We consider the scenario of learning the conditional quantiles of a specific target population when the available data…

Statistics Theory · Mathematics 2024-02-27 Jun Jin , Jun Yan , Robert H. Aseltine , Kun Chen

We investigate the short-context dominance hypothesis: that for most sequences, a small local prefix suffices to predict their next tokens. Using large language models as statistical oracles, we measure the minimum context length (MCL)…

Computation and Language · Computer Science 2026-02-11 Vala Vakilian , Zimeng Wang , Ankit Singh Rawat , Christos Thrampoulidis

In many problems in data mining and machine learning, data items that need to be clustered or classified are not points in a high-dimensional space, but are distributions (points on a high dimensional simplex). For distributions, natural…

Data Structures and Algorithms · Computer Science 2007-07-13 Sudipto Guha , Andrew McGregor , Suresh Venkatasubramanian

Radiomics involves the study of tumor images to identify quantitative markers explaining cancer heterogeneity. The predominant approach is to extract hundreds to thousands of image features, including histogram features comprised of…

Large language models (LLMs) have demonstrated remarkable capabilities in generating high-quality texts across diverse domains. However, the potential misuse of LLMs has raised significant concerns, underscoring the urgent need for reliable…

Computation and Language · Computer Science 2024-10-10 Yihuai Xu , Yongwei Wang , Yifei Bi , Huangsen Cao , Zhouhan Lin , Yu Zhao , Fei Wu

Quantile Regression (QR) provides a way to approximate a single conditional quantile. To have a more informative description of the conditional distribution, QR can be merged with deep learning techniques to simultaneously estimate multiple…

Machine Learning · Computer Science 2022-02-01 Axel Brando , Joan Gimeno , Jose A. Rodríguez-Serrano , Jordi Vitrià

Progress on training and architecture strategies has enabled LLMs with millions of tokens in context length. However, empirical evidence suggests that such long-context LLMs can consume far more text than they can reliably use. On the other…

Quantile regression is a technique to estimate conditional quantile curves. It provides a comprehensive picture of a response contingent on explanatory variables. In a flexible modeling framework, a specific form of the conditional quantile…

Statistics Theory · Mathematics 2012-08-31 Vladimir Spokoiny , Weining Wang , Wolfgang Karl Härdle

Generative recommender systems have recently attracted attention by formulating next-item prediction as an autoregressive sequence generation task. However, most existing methods optimize standard next-token likelihood and implicitly treat…

Information Retrieval · Computer Science 2026-01-27 Wei-Ning Chiu , Chuan-Ju Wang , Pu-Jen Cheng

Quantile regression is a powerful statistical methodology that complements the classical linear regression by examining how covariates influence the location, scale, and shape of the entire response distribution and offering a global view…

Applications · Statistics 2013-09-11 Lu Xiaoming , Fan Zhaozhi

This paper introduces distribution-based prediction, a novel approach to using Large Language Models (LLMs) as predictive tools by interpreting output token probabilities as distributions representing the models' learned representation of…

Artificial Intelligence · Computer Science 2024-11-07 Caleb Bradshaw , Caelen Miller , Sean Warnick

When using an LLM to process text outside the training domain(s), an often overlooked factor is vocabulary mismatch, where the general-domain tokenizer fails to capture frequent domain-specific terms, leading to higher token fertility and…

Computation and Language · Computer Science 2025-10-01 Christian Herold , Michael Kozielski , Nicholas Santavas , Yannick Versley , Shahram Khadivi

Vision Language Models (VLMs) mix visual tokens and text tokens. A puzzling issue is the fact that visual tokens most related to the query receive little to no attention in the final layers of the LLM module of VLMs from the answer tokens,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Parsa Esmaeilkhani , Longin Jan Latecki

Quantile is a popular performance measure for a stochastic system to evaluate its variability and risk. To reduce the risk, selecting the actions that minimize the tail quantiles of some loss distributions is typically of interest for…

Optimization and Control · Mathematics 2019-01-18 Songhao Wang , Szu Hui Ng , William Benjamin Haskell

Large language models (LLMs) have achieved notable progress. Despite their success, next-token prediction (NTP), the dominant method for LLM training and inference, is constrained in both contextual coverage and inference efficiency due to…

Computation and Language · Computer Science 2025-09-23 Xiaohao Liu , Xiaobo Xia , Weixiang Zhao , Manyi Zhang , Xianzhi Yu , Xiu Su , Shuo Yang , See-Kiong Ng , Tat-Seng Chua