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Low-rank matrix estimation is a canonical problem that finds numerous applications in signal processing, machine learning and imaging science. A popular approach in practice is to factorize the matrix into two compact low-rank factors, and…

Machine Learning · Computer Science 2021-06-16 Tian Tong , Cong Ma , Yuejie Chi

Deep computer vision systems being vulnerable to imperceptible and carefully crafted noise have raised questions regarding the robustness of their decisions. We take a step back and approach this problem from an orthogonal direction. We…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Sadaf Gulshad , Jan Hendrik Metzen , Arnold Smeulders , Zeynep Akata

We revisit benchmarks for differentially private image classification. We suggest a comprehensive set of benchmarks, allowing researchers to evaluate techniques for differentially private machine learning in a variety of settings, including…

Machine Learning · Computer Science 2026-01-28 Sabrina Mokhtari , Sara Kodeiri , Shubhankar Mohapatra , Florian Tramèr , Gautam Kamath

Recommendation systems often rely on point-wise loss metrics such as the mean squared error. However, in real recommendation settings only few items are presented to a user. This observation has recently encouraged the use of rank-based…

Machine Learning · Computer Science 2015-11-05 Phong Nguyen , Jun Wang , Alexandros Kalousis

Image retrieval can be formulated as a ranking problem where the goal is to order database images by decreasing similarity to the query. Recent deep models for image retrieval have outperformed traditional methods by leveraging…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Jerome Revaud , Jon Almazan , Rafael Sampaio de Rezende , Cesar Roberto de Souza

When gradient-based methods are impractical, black-box optimization (BBO) provides a valuable alternative. However, BBO often struggles with high-dimensional problems and limited trial budgets. In this work, we propose a novel approach…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Riccardo Busetto , Manas Mejari , Marco Forgione , Alberto Bemporad , Dario Piga

In this work, we address the problem of outlier detection for robust motion estimation by using modern sparse-low-rank decompositions, i.e., Robust PCA-like methods, to impose global rank constraints. Robust decompositions have shown to be…

Computer Vision and Pattern Recognition · Computer Science 2014-10-23 German Ros , Jose Alvarez , Julio Guerrero

Deep learning models are used in safety-critical tasks such as automated driving and face recognition. However, small perturbations in the model input can significantly change the predictions. Adversarial attacks are used to identify small…

Cryptography and Security · Computer Science 2025-12-03 Issa Oe , Keiichiro Yamamura , Hiroki Ishikura , Ryo Hamahira , Katsuki Fujisawa

In the recent years, various gradient descent algorithms including the methods of gradient descent, gradient descent with momentum, adaptive gradient (AdaGrad), root-mean-square propagation (RMSProp) and adaptive moment estimation (Adam)…

Machine Learning · Computer Science 2024-09-19 Abel C. H. Chen

Evaluation metrics in machine learning are often hardly taken as loss functions, as they could be non-differentiable and non-decomposable, e.g., average precision and F1 score. This paper aims to address this problem by revisiting the…

Machine Learning · Computer Science 2022-03-01 Tao Huang , Zekang Li , Hua Lu , Yong Shan , Shusheng Yang , Yang Feng , Fei Wang , Shan You , Chang Xu

Black-box variational inference (BBVI) now sees widespread use in machine learning and statistics as a fast yet flexible alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, stochastic optimization…

Machine Learning · Statistics 2025-09-22 Manushi Welandawe , Michael Riis Andersen , Aki Vehtari , Jonathan H. Huggins

Anomaly detection methods have demonstrated remarkable success across various applications. However, assessing their performance, particularly at the pixel-level, presents a complex challenge due to the severe imbalance that is most…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Mehdi Rafiei , Toby P. Breckon , Alexandros Iosifidis

Matrices with low-rank structure are ubiquitous in scientific computing. Choosing an appropriate rank is a key step in many computational algorithms that exploit low-rank structure. However, estimating the rank has been done largely in an…

Numerical Analysis · Mathematics 2024-01-08 Maike Meier , Yuji Nakatsukasa

With the growing deployment of sequential recommender systems in e-commerce and other fields, their black-box interfaces raise security concerns: models are vulnerable to extraction and subsequent adversarial manipulation. Existing…

Information Retrieval · Computer Science 2026-02-13 Hongyue Zhang , Mingming Li , Dongqin Liu , Hui Wang , Yaning Zhang , Xi Zhou , Honglei Lv , Jiao Dai , Jizhong Han

We introduce a "learning-based" algorithm for the low-rank decomposition problem: given an $n \times d$ matrix $A$, and a parameter $k$, compute a rank-$k$ matrix $A'$ that minimizes the approximation loss $\|A-A'\|_F$. The algorithm uses a…

Machine Learning · Computer Science 2019-10-31 Piotr Indyk , Ali Vakilian , Yang Yuan

Confidence calibration is a major concern when applying artificial neural networks in safety-critical applications. Since most research in this area has focused on classification in the past, confidence calibration in the scope of object…

Computer Vision and Pattern Recognition · Computer Science 2021-01-11 Franziska Schwaiger , Maximilian Henne , Fabian Küppers , Felippe Schmoeller Roza , Karsten Roscher , Anselm Haselhoff

Low-rank matrix completion consists of computing a matrix of minimal complexity that recovers a given set of observations as accurately as possible. Unfortunately, existing methods for matrix completion are heuristics that, while highly…

Machine Learning · Computer Science 2026-03-12 Dimitris Bertsimas , Ryan Cory-Wright , Sean Lo , Jean Pauphilet

Estimating a policy that maps states to actions is a central problem in reinforcement learning. Traditionally, policies are inferred from the so called value functions (VFs), but exact VF computation suffers from the curse of…

Machine Learning · Computer Science 2024-05-29 Sergio Rozada , Antonio G. Marques

This paper considers the problem of minimizing a differentiable function with locally Lipschitz continuous gradient on the algebraic variety of real matrices of upper-bounded rank. This problem is known to enable the formulation of various…

Optimization and Control · Mathematics 2026-03-13 Guillaume Olikier , Kyle A. Gallivan , P. -A. Absil

As quantum computers grow in size and scope, a question of great importance is how best to benchmark performance. Here we define a set of characteristics that any benchmark should follow -- randomized, well-defined, holistic, device…

Quantum Physics · Physics 2023-03-06 Mirko Amico , Helena Zhang , Petar Jurcevic , Lev S. Bishop , Paul Nation , Andrew Wack , David C. McKay