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We introduce a constrained optimization framework for training transformers that behave like optimization descent algorithms. Specifically, we enforce layerwise descent constraints on the objective function and replace standard empirical…

Machine Learning · Computer Science 2026-01-27 Javier Porras-Valenzuela , Samar Hadou , Alejandro Ribeiro

In this paper, a machine learning based observer for systems evolving on manifolds is designed such that the state of the observer is restricted to the Lie group on which the system evolves. Conventional techniques involving machine…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Soham Shanbhag , Dong Eui Chang

The mean-shift algorithm is a popular algorithm in computer vision and image processing. It can also be cast as a minimum gamma-divergence estimation. In this paper we focus on the "blurring" mean shift algorithm, which is one version of…

Machine Learning · Statistics 2013-05-07 Ting-Li Chen

The rapid progress in machine learning methods has been empowered by i) huge datasets that have been collected and annotated, ii) improved engineering (e.g. data pre-processing/normalization). The existing datasets typically include several…

Computer Vision and Pattern Recognition · Computer Science 2018-01-23 Grigorios G. Chrysos , Yannis Panagakis , Stefanos Zafeiriou

The performance of modern object detectors drops when the test distribution differs from the training one. Most of the methods that address this focus on object appearance changes caused by, e.g., different illumination conditions, or gaps…

Computer Vision and Pattern Recognition · Computer Science 2023-01-16 Vidit Vidit , Martin Engilberge , Mathieu Salzmann

Humans develop certain cognitive abilities to recognize objects and their transformations without explicit supervision, highlighting the importance of unsupervised representation learning. A fundamental challenge in unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Kayato Nishitsunoi , Yoshiyuki Ohmura , Takayuki Komatsu , Yasuo Kuniyoshi

A framework for unsupervised group activity analysis from a single video is here presented. Our working hypothesis is that human actions lie on a union of low-dimensional subspaces, and thus can be efficiently modeled as sparse linear…

Computer Vision and Pattern Recognition · Computer Science 2012-08-28 Zhongwei Tang , Alexey Castrodad , Mariano Tepper , Guillermo Sapiro

Training fair machine learning models, aiming for their interpretability and solving the problem of domain shift has gained a lot of interest in the last years. There is a vast amount of work addressing these topics, mostly in separation.…

Machine Learning · Computer Science 2021-01-22 Linda H. Boedi , Helmut Grabner

The theory of representation learning aims to build methods that provably invert the data generating process with minimal domain knowledge or any source of supervision. Most prior approaches require strong distributional assumptions on the…

Machine Learning · Computer Science 2022-06-03 Kartik Ahuja , Jason Hartford , Yoshua Bengio

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro

Invariance and equivariance to geometrical transformations have proven to be very useful inductive biases when training (convolutional) neural network models, especially in the low-data regime. Much work has focused on the case where the…

Machine Learning · Computer Science 2024-07-11 Mircea Mironenco , Patrick Forré

We present a method for unsupervised learning of equations of motion for objects in raw and optionally distorted unlabeled video. We first train an autoencoder that maps each video frame into a low-dimensional latent space where the laws of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Silviu-Marian Udrescu , Max Tegmark

The Bayesian Learning Rule provides a framework for generic algorithm design but can be difficult to use for three reasons. First, it requires a specific parameterization of exponential family. Second, it uses gradients which can be…

Machine Learning · Computer Science 2023-03-09 Eren Mehmet Kıral , Thomas Möllenhoff , Mohammad Emtiyaz Khan

We propose a self-supervised framework to learn scene representations from video that are automatically delineated into objects and background. Our method relies on moving objects being equivariant with respect to their transformation…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Cinjon Resnick , Or Litany , Hugo Larochelle , Joan Bruna , Kyunghyun Cho

In recent years, skeleton-based action recognition has become a popular 3D classification problem. State-of-the-art methods typically first represent each motion sequence as a high-dimensional trajectory on a Lie group with an additional…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Zhiwu Huang , Chengde Wan , Thomas Probst , Luc Van Gool

Supervised learning systems are trained using historical data and, if the data was tainted by discrimination, they may unintentionally learn to discriminate against protected groups. We propose that fair learning methods, despite training…

Machine Learning · Computer Science 2026-01-22 Przemyslaw A. Grabowicz , Nicholas Perello , Kenta Takatsu

Self-supervised learning by predicting transformations has demonstrated outstanding performances in both unsupervised and (semi-)supervised tasks. Among the state-of-the-art methods is the AutoEncoding Transformations (AET) by decoding…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Feng Lin , Haohang Xu , Houqiang Li , Hongkai Xiong , Guo-Jun Qi

Machine unlearning seeks to remove the influence of specific training data from a model, a need driven by privacy regulations and robustness concerns. Existing approaches typically modify model parameters, but such updates can be unstable,…

Machine Learning · Computer Science 2026-05-29 Antonio Almudévar , Alfonso Ortega

Representation learning seeks meaningful sensory representations without supervision and can model aspects of human development. Although many neural networks empirically learn useful features, a principled account of what makes a…

Machine Learning · Computer Science 2026-05-07 Takayuki Komatsu , Yoshiyuki Ohmura , Yasuo Kuniyoshi

Natural gradient descent has a remarkable property that in the small learning rate limit, it displays an invariance with respect to network reparameterizations, leading to robust training behavior even for highly covariant network…

Machine Learning · Statistics 2023-12-11 Christian Goodbrake