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In the context of Machine Learning as a Service (MLaaS) clouds, the extensive use of Large Language Models (LLMs) often requires efficient management of significant query loads. When providing real-time inference services, several…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-25 Yiyuan He , Minxian Xu , Jingfeng Wu , Wanyi Zheng , Kejiang Ye , Chengzhong Xu

We study the parameter estimation problem for a varying index coefficient model in high dimensions. Unlike the most existing works that iteratively estimate the parameters and link functions, based on the generalized Stein's identity, we…

Machine Learning · Statistics 2019-10-29 Sen Na , Zhuoran Yang , Zhaoran Wang , Mladen Kolar

Under the Neyman causal model, it is well-known that OLS with treatment-by-covariate interactions cannot harm asymptotic precision of estimated treatment effects in completely randomized experiments. But do such guarantees extend to…

Statistics Theory · Mathematics 2018-03-19 Joel A. Middleton

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

Machine Learning · Statistics 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

Large language models (LLMs) offer an inexpensive yet powerful way to annotate text, but are often inconsistent when compared with experts. These errors can bias downstream estimates of population parameters such as regression coefficients…

Computation and Language · Computer Science 2025-09-22 Nicolas Audinet de Pieuchon , Adel Daoud , Connor T. Jerzak , Moa Johansson , Richard Johansson

Efficient sampling from a high-dimensional Gaussian distribution is an old but high-stake issue. Vanilla Cholesky samplers imply a computational cost and memory requirements which can rapidly become prohibitive in high dimension. To tackle…

Computation · Statistics 2025-02-25 Maxime Vono , Nicolas Dobigeon , Pierre Chainais

Debiased inference for high-dimensional regression models has received substantial recent attention to ensure regularized estimators have valid inference. All existing methods focus on achieving Neyman orthogonality through explicitly…

Methodology · Statistics 2025-12-16 Yi Wang , Yuhao Deng , Yu Gu , Yuanjia Wang , Donglin Zeng

Federated learning has become a popular tool in the big data era nowadays. It trains a centralized model based on data from different clients while keeping data decentralized. In this paper, we propose a federated sparse sliced inverse…

Machine Learning · Statistics 2023-01-24 Wenquan Cui , Yue Zhao , Jianjun Xu , Haoyang Cheng

This paper proposes distributed estimation procedures for three scalar-on-function regression models: the functional linear model (FLM), the functional non-parametric model (FNPM), and the functional partial linear model (FPLM). The…

Computation · Statistics 2026-01-08 Peilun He , Han Lin Shang , Nan Zou

This paper provides the relevant literature with a complete toolkit for conducting robust estimation and inference about the parameters of interest involved in a high-dimensional panel data framework. Specifically, (1) we allow for…

Econometrics · Economics 2025-02-13 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan

The high inference demands of transformer-based Large Language Models (LLMs) pose substantial challenges in their deployment. To this end, we introduce Neural Block Linearization (NBL), a novel framework for accelerating transformer model…

Machine Learning · Computer Science 2025-10-21 Mete Erdogan , Francesco Tonin , Volkan Cevher

Gaussian Mixture Models (GMMs) range among the most frequently used models in machine learning. However, training large, general GMMs becomes computationally prohibitive for datasets that have many data points $N$ of high-dimensionality…

Machine Learning · Statistics 2025-12-12 Sebastian Salwig , Till Kahlke , Florian Hirschberger , Dennis Forster , Jörg Lücke

Large Language Models (LLMs) have shown impressive capabilities in complex reasoning tasks. However, current approaches employ uniform language density for both intermediate reasoning and final answers, leading to computational…

Computation and Language · Computer Science 2025-12-18 Zhengyi Zhao , Shubo Zhang , Yuxi Zhang , Huimin Wang , Binyang Li , Kam-Fai Wong

High-dimensional regression models with regularized sparse estimation are widely applied. For statistical inferences, debiased methods are available about single coefficients or predictions with sparse new covariate vectors (also called…

Statistics Theory · Mathematics 2025-07-16 Libin Liang , Zhiqiang Tan

Uncertainty estimation is important for deploying LLMs in high-stakes applications such as healthcare and finance, where hallucinations can appear fluent and plausible while being factually incorrect, making it difficult for users to judge…

Machine Learning · Computer Science 2026-05-08 Mingcheng Zhu , Yu Liu , Tingting Zhu

Unsupervised depth completion aims to recover dense depth from the sparse one without using the ground-truth annotation. Although depth measurement obtained from LiDAR is usually sparse, it contains valid and real distance information,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Zhiqiang Yan , Kun Wang , Xiang Li , Zhenyu Zhang , Jun Li , Jian Yang

In this paper, we propose a new stochastic optimization algorithm for Bayesian inference based on multilevel Monte Carlo (MLMC) methods. In Bayesian statistics, biased estimators of the model evidence have been often used as stochastic…

Machine Learning · Statistics 2021-02-26 Kei Ishikawa , Takashi Goda

Mathematical modelling, particularly through approaches such as structured sparse support vector machines (SS-SVM), plays a crucial role in processing data with complex feature structures, yet efficient algorithms for distributed…

Machine Learning · Computer Science 2026-01-13 Rongmei Liang , Zizheng Liu , Xiaofei Wu , Jingwen Tu

High-dimensional statistical settings ($p \gg n$) pose fundamental challenges for classical inference, largely due to bias introduced by regularized estimators such as the LASSO. To address this, Javanmard and Montanari (2014) propose a…

Other Statistics · Statistics 2026-04-07 Benjamin Smith

We address the challenge of correlated predictors in high-dimensional GLMs, where regression coefficients range from sparse to dense, by proposing a data-driven random projection method. This is particularly relevant for applications where…

Methodology · Statistics 2025-12-30 Roman Parzer , Peter Filzmoser , Laura Vana-Gür