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Monte Carlo algorithms often aim to draw from a distribution $\pi$ by simulating a Markov chain with transition kernel $P$ such that $\pi$ is invariant under $P$. However, there are many situations for which it is impractical or impossible…

Methodology · Statistics 2014-04-16 P. Alquier , N. Friel , R. Everitt , A. Boland

Neural networks have revolutionized various domains, exhibiting remarkable accuracy in tasks like natural language processing and computer vision. However, their vulnerability to slight alterations in input samples poses challenges,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-15 Shashank Kotyan , Danilo Vasconcellos Vargas

This work considers supervised contrastive learning for semantic segmentation. We apply contrastive learning to enhance the discriminative power of the multi-scale features extracted by semantic segmentation networks. Our key methodological…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Theodoros Pissas , Claudio S. Ravasio , Lyndon Da Cruz , Christos Bergeles

Contrastive approaches to representation learning have recently shown great promise. In contrast to generative approaches, these contrastive models learn a deterministic encoder with no notion of uncertainty or confidence. In this paper, we…

Machine Learning · Computer Science 2020-10-06 Mike Wu , Noah Goodman

In this work, we consider an online robust Markov Decision Process (MDP) where we have the information of finitely many prototypes of the underlying transition kernel. We consider an adaptively updated ambiguity set of the prototypes and…

Machine Learning · Computer Science 2024-12-20 Shuo Sun , Meng Qi , Zuo-Jun Max Shen

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

Machine Learning · Computer Science 2015-02-25 Jacob Steinhardt , Percy Liang

Contrastive learning has become a key component of self-supervised learning approaches for computer vision. By learning to embed two augmented versions of the same image close to each other and to push the embeddings of different images…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Yannis Kalantidis , Mert Bulent Sariyildiz , Noe Pion , Philippe Weinzaepfel , Diane Larlus

Contrastive learning has emerged as a powerful paradigm for self-supervised representation learning. This work analyzes the theoretical limits of contrastive learning under nasty noise, where an adversary modifies or replaces training…

Machine Learning · Computer Science 2025-02-26 Ziruo Zhao

State estimation is a key ingredient in most robotic systems. Often, state estimation is performed using some form of least squares minimization. Basically, all error minimization procedures that work on real-world data use robust kernels…

Robotics · Computer Science 2021-02-19 Nived Chebrolu , Thomas Läbe , Olga Vysotska , Jens Behley , Cyrill Stachniss

Learning useful data representations without requiring labels is a cornerstone of modern deep learning. Self-supervised learning methods, particularly contrastive learning (CL), have proven successful by leveraging data augmentations to…

Machine Learning · Computer Science 2023-12-11 Sacha Morin , Somjit Nath , Samira Ebrahimi Kahou , Guy Wolf

Contrastive pretraining can substantially increase model generalisation and downstream performance. However, the quality of the learned representations is highly dependent on the data augmentation strategy applied to generate positive…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Mélanie Roschewitz , Fabio De Sousa Ribeiro , Tian Xia , Galvin Khara , Ben Glocker

Learning a parametric model of a data distribution is a well-known statistical problem that has seen renewed interest as it is brought to scale in deep learning. Framing the problem as a self-supervised task, where data samples are…

Machine Learning · Statistics 2022-07-27 Omar Chehab , Alexandre Gramfort , Aapo Hyvarinen

Contrastive learning has emerged as a powerful framework for learning generalizable representations, yet its theoretical understanding remains limited, particularly under imbalanced data distributions that are prevalent in real-world…

Machine Learning · Computer Science 2026-02-12 Haixu Liao , Yating Zhou , Songyang Zhang , Meng Wang , Shuai Zhang

There is a growing interest in the literature for adaptive Markov chain Monte Carlo methods based on sequences of random transition kernels $\{P_n\}$ where the kernel $P_n$ is allowed to have an invariant distribution $\pi_n$ not…

Computation · Statistics 2010-10-18 Yves F. Atchadé

We consider stochastic systems of interacting particles or agents, with dynamics determined by an interaction kernel which only depends on pairwise distances. We study the problem of inferring this interaction kernel from observations of…

Statistics Theory · Mathematics 2020-07-31 Fei Lu , Mauro Maggioni , Sui Tang

This paper targets the problem of multi-task dense prediction which aims to achieve simultaneous learning and inference on a bunch of multiple dense prediction tasks in a single framework. A core objective in design is how to effectively…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Siwei Yang , Hanrong Ye , Dan Xu

Standard contrastive learning approaches usually require a large number of negatives for effective unsupervised learning and often exhibit slow convergence. We suspect this behavior is due to the suboptimal selection of negatives used for…

Machine Learning · Computer Science 2021-12-22 Anshul Shah , Suvrit Sra , Rama Chellappa , Anoop Cherian

Although the self-supervised pre-training of transformer models has resulted in the revolutionizing of natural language processing (NLP) applications and the achievement of state-of-the-art results with regard to various benchmarks, this…

Computation and Language · Computer Science 2023-01-26 Xiang Chen , Xin Xie , Zhen Bi , Hongbin Ye , Shumin Deng , Ningyu Zhang , Huajun Chen

Markov Population Models are a widespread formalism used to model the dynamics of complex systems, with applications in Systems Biology and many other fields. The associated Markov stochastic process in continuous time is often analyzed by…

Machine Learning · Computer Science 2021-06-25 Francesca Cairoli , Ginevra Carbone , Luca Bortolussi

We study some regularity properties in locally stationary Markov models which are fundamental for controlling the bias of nonparametric kernel estimators. In particular, we provide an alternative to the standard notion of derivative process…

Statistics Theory · Mathematics 2018-12-07 Lionel Truquet