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Existing multilingual machine translation approaches mainly focus on English-centric directions, while the non-English directions still lag behind. In this work, we aim to build a many-to-many translation system with an emphasis on the…

Computation and Language · Computer Science 2021-07-23 Xiao Pan , Mingxuan Wang , Liwei Wu , Lei Li

Contrastive learning is a family of self-supervised methods where a model is trained to solve a classification task constructed from unlabeled data. It has recently emerged as one of the leading learning paradigms in the absence of labels…

Machine Learning · Statistics 2021-03-05 Bingbin Liu , Pradeep Ravikumar , Andrej Risteski

A popular method for likelihood-free inference is approximate Bayesian computation sequential Monte Carlo (ABC-SMC) algorithms. These approximate the posterior using a population of particles, which are updated using Markov kernels. Several…

Computation · Statistics 2025-11-11 Dennis Prangle , Cecilia Viscardi , Sammy Ragy

Kernel canonical correlation analysis (KCCA) is a nonlinear multi-view representation learning technique with broad applicability in statistics and machine learning. Although there is a closed-form solution for the KCCA objective, it…

Machine Learning · Computer Science 2016-03-01 Weiran Wang , Karen Livescu

Existing Markov Chain Monte Carlo (MCMC) methods are either based on general-purpose and domain-agnostic schemes which can lead to slow convergence, or hand-crafting of problem-specific proposals by an expert. We propose A-NICE-MC, a novel…

Machine Learning · Statistics 2018-03-16 Jiaming Song , Shengjia Zhao , Stefano Ermon

Quantum machine learning is an emerging field at the intersection of machine learning and quantum computing. Classical cross entropy plays a central role in machine learning. We define its quantum generalization, the quantum cross entropy,…

Quantum Physics · Physics 2022-10-25 Zhou Shangnan , Yixu Wang

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

Computation · Statistics 2008-07-22 Ioana A. Cosma , Masoud Asgharian

Multi-modal Contrastive Representation learning aims to encode different modalities into a semantically aligned shared space. This paradigm shows remarkable generalization ability on numerous downstream tasks across various modalities.…

Machine Learning · Computer Science 2023-10-20 Zehan Wang , Yang Zhao , Xize Cheng , Haifeng Huang , Jiageng Liu , Li Tang , Linjun Li , Yongqi Wang , Aoxiong Yin , Ziang Zhang , Zhou Zhao

Recently, contrastive learning (CL) plays an important role in exploring complementary information for multi-view clustering (MVC) and has attracted increasing attention. Nevertheless, real-world multi-view data suffer from data…

Machine Learning · Computer Science 2025-12-29 Hongqing He , Jie Xu , Wenyuan Yang , Yonghua Zhu , Guoqiu Wen , Xiaofeng Zhu

Quasi-Monte Carlo (QMC) methods for estimating integrals are attractive since the resulting estimators typically converge at a faster rate than pseudo-random Monte Carlo. However, they can be difficult to set up on arbitrary posterior…

Statistics Theory · Mathematics 2018-10-03 Tobias Schwedes , Ben Calderhead

Existing rumor detection methods often neglect the content within images as well as the inherent relationships between contexts and images across different visual scales, thereby resulting in the loss of critical information pertinent to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Bin Ma , Yifei Zhang , Yongjin Xian , Qi Li , Linna Zhou , Gongxun Miao

Multi-output Gaussian processes (MOGPs) are an extension of Gaussian Processes (GPs) for predicting multiple output variables (also called channels, tasks) simultaneously. In this paper we use the convolution theorem to design a new kernel…

Machine Learning · Computer Science 2021-10-11 Kai Chen , Twan van Laarhoven , Perry Groot , Jinsong Chen , Elena Marchiori

The Maximum Mean Discrepancy (MMD) is a cornerstone statistic for nonparametric two-sample testing, but its test power is dictated entirely by the chosen kernel. Because any fixed kernel inherently fails to distinguish certain…

Machine Learning · Statistics 2026-05-11 Yijin Ni , Xiaoming Huo

The recently proposed Multilinear Compressive Learning (MCL) framework combines Multilinear Compressive Sensing and Machine Learning into an end-to-end system that takes into account the multidimensional structure of the signals when…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Multi-task learning (MTL) aims to improve estimation and prediction performance by sharing common information among related tasks. One natural assumption in MTL is that tasks are classified into clusters based on their characteristics.…

Methodology · Statistics 2024-05-28 Akira Okazaki , Shuichi Kawano

The kernel two-sample test based on the maximum mean discrepancy (MMD) is one of the most popular methods for detecting differences between two distributions over general metric spaces. In this paper we propose a method to boost the power…

Methodology · Statistics 2024-09-06 Anirban Chatterjee , Bhaswar B. Bhattacharya

We propose a novel kernel-based two-sample test that leverages the spectral decomposition of the maximum mean discrepancy (MMD) statistic to identify and utilize well-estimated directional components in reproducing kernel Hilbert space…

Methodology · Statistics 2025-08-21 Rui Cui , Yuhao Li , Xiaojun Song

Kernel methods play an important role in machine learning applications due to their conceptual simplicity and superior performance on numerous machine learning tasks. Expressivity of a machine learning model, referring to the ability of the…

Multivariate Statistical Process Control (MSPC) is a framework for monitoring and diagnosing complex processes by analysing the relationships between multiple process variables simultaneously. Kernel MSPC extends the methodology by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Zina-Sabrina Duma , Victoria Jorry , Tuomas Sihvonen , Satu-Pia Reinikainen , Lassi Roininen

We demonstrate the use of a variational method to determine a quantitative lower bound on the rate of convergence of Markov Chain Monte Carlo (MCMC) algorithms as a function of the target density and proposal density. The bound relies on…

Data Analysis, Statistics and Probability · Physics 2013-05-29 Fergal P. Casey , Joshua J. Waterfall , Ryan N. Gutenkunst , Christopher R. Myers , James P. Sethna