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These notes are an overview of some classical linear methods in Multivariate Data Analysis. This is a good old domain, well established since the 60's, and refreshed timely as a key step in statistical learning. It can be presented as part…

Numerical Analysis · Mathematics 2023-05-25 Alain Franc

Distance Metric Learning (DML) seeks to learn a discriminative embedding where similar examples are closer, and dissimilar examples are apart. In this paper, we address the problem of Semi-Supervised DML (SSDML) that tries to learn a metric…

Machine Learning · Computer Science 2021-05-12 Ujjal Kr Dutta , Mehrtash Harandi , Chellu Chandra Sekhar

We propose an algorithm for meta-learning that is model-agnostic, in the sense that it is compatible with any model trained with gradient descent and applicable to a variety of different learning problems, including classification,…

Machine Learning · Computer Science 2017-07-19 Chelsea Finn , Pieter Abbeel , Sergey Levine

Deep Metric Learning (DML) plays a critical role in various machine learning tasks. However, most existing deep metric learning methods with binary similarity are sensitive to noisy labels, which are widely present in real-world data. Since…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Jiexi Yan , Lei Luo , Cheng Deng , Heng Huang

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

Machine Learning · Statistics 2021-03-08 Nicole Mücke

The stochastic gradient descent (SGD) algorithm has been widely used in statistical estimation for large-scale data due to its computational and memory efficiency. While most existing works focus on the convergence of the objective function…

Machine Learning · Statistics 2023-11-02 Xi Chen , Jason D. Lee , Xin T. Tong , Yichen Zhang

Deep metric learning, which learns discriminative features to process image clustering and retrieval tasks, has attracted extensive attention in recent years. A number of deep metric learning methods, which ensure that similar examples are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Tongtong Yuan , Weihong Deng , Jian Tang , Yinan Tang , Binghui Chen

In order to design haptic icons or build a haptic vocabulary, we require a set of easily distinguishable haptic signals to avoid perceptual ambiguity, which in turn requires a way to accurately estimate the perceptual (dis)similarity of…

Machine Learning · Computer Science 2020-10-13 Priyadarshini Kumari , Siddhartha Chaudhuri , Subhasis Chaudhuri

Motivated by privacy regulations and the need to mitigate the effects of harmful data, machine unlearning seeks to modify trained models so that they effectively ``forget'' designated data. A key challenge in verifying unlearning is…

Machine Learning · Computer Science 2026-05-05 Rishabh Dixit , Yuan Hui , Rayan Saab

This paper shows that further evaluation metrics during model training are needed to decide about its applicability in inference. As an example, a LayoutLM-based model is trained for token classification in documents. The documents are…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Anket Mehra , Malte Prieß , Marian Himstedt

Inverse problems in imaging are typically ill-posed and are usually solved by employing regularized optimization techniques. The usage of appropriate constraints can restrict the solution space, thus making it feasible for a reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Jasleen Birdi , Tamal Majumder , Debanjan Halder , Muskan Kularia , Kedar Khare

Adaptive control achieves concurrent parameter learning and stable control under uncertainties that are linearly parameterized with known nonlinear features. Nonetheless, it is often difficult to obtain such nonlinear features. To address…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Sunbochen Tang , Haoyuan Sun , Navid Azizan

Supervised dimensionality reduction strategies have been of great interest. However, current supervised dimensionality reduction approaches are difficult to scale for situations characterized by large datasets given the high computational…

Machine Learning · Computer Science 2018-11-09 Amir-Hossein Karimi , Alexander Wong , Ali Ghodsi

Distance metric learning (DML) has been successfully applied to object classification, both in the standard regime of rich training data and in the few-shot scenario, where each category is represented by only a few examples. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Leonid Karlinsky , Joseph Shtok , Sivan Harary , Eli Schwartz , Amit Aides , Rogerio Feris , Raja Giryes , Alex M. Bronstein

We develop a machine-learning framework to learn hyperparameter sequences for accelerated first-order methods (e.g., the step size and momentum sequences in accelerated gradient descent) to quickly solve parametric convex optimization…

Optimization and Control · Mathematics 2025-10-07 Rajiv Sambharya , Jinho Bok , Nikolai Matni , George Pappas

We examine gradient descent on unregularized logistic regression problems, with homogeneous linear predictors on linearly separable datasets. We show the predictor converges to the direction of the max-margin (hard margin SVM) solution. The…

Machine Learning · Statistics 2024-10-29 Daniel Soudry , Elad Hoffer , Mor Shpigel Nacson , Suriya Gunasekar , Nathan Srebro

Self-supervised representation learning for visual pre-training has achieved remarkable success with sample (instance or pixel) discrimination and semantics discovery of instance, whereas there still exists a non-negligible gap between…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Xiaoni Li , Yu Zhou , Yifei Zhang , Aoting Zhang , Wei Wang , Ning Jiang , Haiying Wu , Weiping Wang

When pre-processing observational data via matching, we seek to approximate each unit with maximally similar peers that had an alternative treatment status--essentially replicating a randomized block design. However, as one considers a…

Econometrics · Economics 2019-05-30 Gentry Johnson , Brian Quistorff , Matt Goldman

Mirror descent (MD) is a powerful first-order optimization technique that subsumes several optimization algorithms including gradient descent (GD). In this work, we develop a semi-definite programming (SDP) framework to analyze the…

Optimization and Control · Mathematics 2022-01-19 Youbang Sun , Mahyar Fazlyab , Shahin Shahrampour

Most existing metric learning methods focus on learning a similarity or distance measure relying on similar and dissimilar relations between sample pairs. However, pairs of samples cannot be simply identified as similar or dissimilar in…

Machine Learning · Computer Science 2020-08-19 Lifeng Gu