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Fusion learning refers to synthesizing inferences from multiple sources or studies to provide more effective inference and prediction than from any individual source or study alone. Most existing methods for synthesizing inferences rely on…

统计方法学 · 统计学 2020-11-16 Dungang Liu , Regina Y. Liu , Minge Xie

Machine learning predictions are increasingly used to supplement incomplete or costly-to-measure outcomes in fields such as biomedical research, environmental science, and social science. However, treating predictions as ground truth…

机器学习 · 统计学 2026-01-29 Yilin Song , Dan M. Kluger , Harsh Parikh , Tian Gu

In modern data analysis, it is common to use machine learning methods to predict outcomes on unlabeled datasets and then use these pseudo-outcomes in subsequent statistical inference. Inference in this setting is often called…

统计方法学 · 统计学 2024-11-04 Feng Gan , Wanfeng Liang , Changliang Zou

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

统计方法学 · 统计学 2026-05-15 Torey Hilbert

Stochastic inference on Lie groups plays a key role in state estimation problems such as; inertial navigation, visual inertial odometry, pose estimation in virtual reality, etc. A key problem is fusing independent concentrated Gaussian…

系统与控制 · 电气工程与系统科学 2025-11-26 Yixiao Ge , Pieter van Goor , Robert Mahony

Recently, particle-based variational inference (ParVI) methods have gained interest because they can avoid arbitrary parametric assumptions that are common in variational inference. However, many ParVI approaches do not allow arbitrary…

机器学习 · 计算机科学 2021-08-12 Neale Ratzlaff , Qinxun Bai , Li Fuxin , Wei Xu

Conformal prediction is a framework for predictive inference with a distribution-free, finite-sample guarantee. However, it tends to provide uninformative prediction sets when calibration data are scarce. This paper introduces…

机器学习 · 计算机科学 2025-06-17 Meshi Bashari , Roy Maor Lotan , Yonghoon Lee , Edgar Dobriban , Yaniv Romano

Deep learning has been the engine powering many successes of data science. However, the deep neural network (DNN), as the basic model of deep learning, is often excessively over-parameterized, causing many difficulties in training,…

机器学习 · 统计学 2021-03-09 Yan Sun , Qifan Song , Faming Liang

Bayesian nonparametric methods are a popular choice for analysing survival data due to their ability to flexibly model the distribution of survival times. These methods typically employ a nonparametric prior on the survival function that is…

统计方法学 · 统计学 2022-02-22 Edwin Fong , Brieuc Lehmann

We propose a novel statistical inference methodology for multiway count data that is corrupted by false zeros that are indistinguishable from true zero counts. Our approach consists of zero-truncating the Poisson distribution to neglect all…

统计方法学 · 统计学 2025-09-10 Oscar López , Daniel M. Dunlavy , Richard B. Lehoucq

We consider the problem of constructing differentially private nonparametric confidence intervals (CIs) for an arbitrary quantity using resampling. A growing body of work has adapted resampling ideas to the private setting, including…

密码学与安全 · 计算机科学 2026-05-14 Tomer Shoham , Moshe Shenfeld , Noa Velner-Harris , Katrina Ligett

Interventional causal discovery seeks to identify causal relations by leveraging distributional changes introduced by interventions, even in the presence of latent confounders. Beyond the spurious dependencies induced by latent confounders,…

机器学习 · 计算机科学 2026-02-26 Gongxu Luo , Loka Li , Guangyi Chen , Haoyue Dai , Kun Zhang

Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples. They implement a diffusion process whose endpoint is a…

机器学习 · 计算机科学 2025-09-03 Andrea Montanari

Continual learning in neural networks aims to learn new tasks without forgetting old tasks. Sequential function-space variational inference (SFSVI) uses a Gaussian variational distribution to approximate the distribution of the outputs of…

机器学习 · 计算机科学 2025-05-28 Menghao Waiyan William Zhu , Pengcheng Hao , Ercan Engin Kuruoğlu

The practice of pooling several individual test statistics to form aggregate tests is common in many statistical application where individual tests may be underpowered. While selection by aggregate tests can serve to increase power, the…

统计方法学 · 统计学 2020-12-08 Ruth Heller , Amit Meir , Nilanjan Chatterjee

For propensity score analysis and sparse estimation, we develop an information criterion for determining the regularization parameters needed in variable selection. First, for Gaussian distribution-based causal inference models, we extend…

统计方法学 · 统计学 2022-04-22 Yoshiyuki Ninomiya

Fourier single-pixel imaging (FSI) is a branch of single-pixel imaging techniques. It uses Fourier basis patterns as structured patterns for spatial information acquisition in the Fourier domain. However, the spatial resolution of the image…

图像与视频处理 · 电气工程与系统科学 2021-08-06 Ziheng Qiu , Xinyi Guo , Tianao Lu , Pan Qi , Zibang Zhang , Jingang Zhong

Handling big data has largely been a major bottleneck in traditional statistical models. Consequently, when accurate point prediction is the primary target, machine learning models are often preferred over their statistical counterparts for…

统计方法学 · 统计学 2021-04-02 Arindam Fadikar , Stefan M. Wild , Jonas Chaves-Montero

We propose a message passing algorithm, based on variational Bayesian inference, for low-rank tensor completion with automatic rank determination in the canonical polyadic format when additional side information (SI) is given. The SI comes…

机器学习 · 计算机科学 2024-02-20 Stanislav Budzinskiy , Nikolai Zamarashkin

Conditional selective inference (SI) has been actively studied as a new statistical inference framework for data-driven hypotheses. The basic idea of conditional SI is to make inferences conditional on the selection event characterized by a…

机器学习 · 统计学 2021-04-23 Kazuya Sugiyama , Vo Nguyen Le Duy , Ichiro Takeuchi