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We consider the problem of reconstructing the signal and the hidden variables from observations coming from a multi-layer network with rotationally invariant weight matrices. The multi-layer structure models inference from deep generative…

机器学习 · 统计学 2022-12-06 Yizhou Xu , TianQi Hou , ShanSuo Liang , Marco Mondelli

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

机器学习 · 统计学 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Often in machine learning, data are collected as a combination of multiple conditions, e.g., the voice recordings of multiple persons, each labeled with an ID. How could we build a model that captures the latent information related to these…

机器学习 · 统计学 2017-05-30 Zhenwen Dai , Mauricio A. Álvarez , Neil D. Lawrence

Computer simulations often involve both qualitative and numerical inputs. Existing Gaussian process (GP) methods for handling this mainly assume a different response surface for each combination of levels of the qualitative factors and…

机器学习 · 统计学 2019-01-31 Yichi Zhang , Siyu Tao , Wei Chen , Daniel W. Apley

This work presents an efficient framework to generate a motion plan of a robot with high degrees of freedom (e.g., a humanoid robot). High-dimensionality of the robot configuration space often leads to difficulties in utilizing the…

机器人学 · 计算机科学 2018-08-02 Jung-Su Ha , Hyeok-Joo Chae , Han-Lim Choi

Deep generative priors are a powerful tool for reconstruction problems with complex data such as images and text. Inverse problems using such models require solving an inference problem of estimating the input and hidden units of the…

信息论 · 计算机科学 2019-03-05 Parthe Pandit , Mojtaba Sahraee , Sundeep Rangan , Alyson K. Fletcher

Is intelligence realized by connectionist or classicist? While connectionist approaches have achieved superhuman performance, there has been growing evidence that such task-specific superiority is particularly fragile in systematic…

人工智能 · 计算机科学 2022-07-21 Chi Zhang , Sirui Xie , Baoxiong Jia , Ying Nian Wu , Song-Chun Zhu , Yixin Zhu

We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

机器学习 · 统计学 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

Most existing methods for image inpainting focus on learning the intra-image priors from the known regions of the current input image to infer the content of the corrupted regions in the same image. While such methods perform well on images…

计算机视觉与模式识别 · 计算机科学 2022-03-22 Xin Feng , Wenjie Pei , Fengjun Li , Fanglin Chen , David Zhang , Guangming Lu

While Large Multimodal Models (LMMs) have made significant progress, they remain largely text-centric, relying on language as their core reasoning modality. As a result, they are limited in their ability to handle reasoning tasks that are…

计算机视觉与模式识别 · 计算机科学 2025-12-25 Kelvin Li , Chuyi Shang , Leonid Karlinsky , Rogerio Feris , Trevor Darrell , Roei Herzig

Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

机器学习 · 计算机科学 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

Despite significant recent advances in probabilistic meta-learning, it is common for practitioners to avoid using deep learning models due to a comparative lack of interpretability. Instead, many practitioners simply use non-meta-models…

机器学习 · 统计学 2025-04-25 Tommy Rochussen , Vincent Fortuin

Gaussian processes (GPs) are popular nonparametric statistical models for learning unknown functions and quantifying the spatiotemporal uncertainty in data. Recent works have extended GPs to model scalar and vector quantities distributed…

Abstract visual reasoning connects mental abilities to the physical world, which is a crucial factor in cognitive development. Most toddlers display sensitivity to this skill, but it is not easy for machines. Aimed at it, we focus on the…

人工智能 · 计算机科学 2020-07-13 Xiangru Tang , Haoyuan Wang , Xiang Pan , Jiyang Qi

From large language models to multi-modal agents, Generative Artificial Intelligence (AI) now underpins state-of-the-art systems. Despite their varied architectures, many share a common foundation in probabilistic latent variable models…

机器学习 · 计算机科学 2025-08-26 Tianhua Chen

We present a Gaussian Process - Latent Class Choice Model (GP-LCCM) to integrate a non-parametric class of probabilistic machine learning within discrete choice models (DCMs). Gaussian Processes (GPs) are kernel-based algorithms that…

计量经济学 · 经济学 2023-08-02 Georges Sfeir , Filipe Rodrigues , Maya Abou-Zeid

Vision-Language Models (VLMs) learn joint representations by mapping images and text into a shared latent space. However, recent research highlights that deterministic embeddings from standard VLMs often struggle to capture the…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Aishwarya Venkataramanan , Paul Bodesheim , Joachim Denzler

Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

机器学习 · 统计学 2024-09-20 Qiuxian Meng , Yongyou Zhang

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

信息论 · 计算机科学 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

Gaussian Processes (GPs) provide a flexible and statistically principled foundation for modelling spatiotemporal phenomena, but their $O(N^3)$ scaling makes them intractable for large datasets. Approximate methods such as variational…

机器学习 · 统计学 2026-04-01 Jhonathan Navott , Daniel Jenson , Seth Flaxman , Elizaveta Semenova