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The protection of private information is of vital importance in data-driven research, business, and government. The conflict between privacy and utility has triggered intensive research in the computer science and statistics communities,…

Cryptography and Security · Computer Science 2022-08-11 March Boedihardjo , Thomas Strohmer , Roman Vershynin

The linear response eigenvalue problem, which arises from many scientific and engineering fields, is quite challenging numerically for large-scale sparse/dense system, especially when it has zero eigenvalues. Based on a direct sum…

Numerical Analysis · Mathematics 2025-06-11 Yu Li , Zijing Wang , Yong Zhang

The classical $\textit{Procrustes}$ problem is to find a rigid motion (orthogonal transformation and translation) that best aligns two given point-sets in the least-squares sense. The $\textit{Robust Procrustes}$ problem is an important…

Machine Learning · Computer Science 2022-07-19 Tal Amir , Shahar Kovalsky , Nadav Dym

Data synthesis is gaining momentum as a privacy-enhancing technology. While single-table tabular data generation has seen considerable progress, current methods for multi-table data often lack the flexibility and expressiveness needed to…

Machine Learning · Computer Science 2025-11-11 Davide Scassola , Sebastiano Saccani , Luca Bortolussi

Imbalanced data, where the positive samples represent only a small proportion compared to the negative samples, makes it challenging for classification problems to balance the false positive and false negative rates. A common approach to…

Machine Learning · Statistics 2026-02-17 Pengfei Lyu , Zhengchi Ma , Linjun Zhang , Anru R. Zhang

This work presents a systematic benchmark of differentially private synthetic data generation algorithms that can generate tabular data. Utility of the synthetic data is evaluated by measuring whether the synthetic data preserve the…

Cryptography and Security · Computer Science 2022-02-16 Yuchao Tao , Ryan McKenna , Michael Hay , Ashwin Machanavajjhala , Gerome Miklau

There is significant growth and interest in the use of synthetic data as an enabler for machine learning in environments where the release of real data is restricted due to privacy or availability constraints. Despite a large number of…

Machine Learning · Computer Science 2020-11-25 Harrison Wilde , Jack Jewson , Sebastian Vollmer , Chris Holmes

Synthetic data generation has emerged as a crucial topic for financial institutions, driven by multiple factors, such as privacy protection and data augmentation. Many algorithms have been proposed for synthetic data generation but reaching…

Machine Learning · Computer Science 2024-05-13 Shinpei Nakamura-Sakai , Fadi Hamad , Saheed Obitayo , Vamsi K. Potluru

With the advent of generative modeling techniques, synthetic data and its use has penetrated across various domains from unstructured data such as image, text to structured dataset modeling healthcare outcome, risk decisioning in financial…

Machine Learning · Computer Science 2021-05-11 Aman Gupta , Deepak Bhatt , Anubha Pandey

The partial correlation graphical LASSO (PCGLASSO) is a penalised likelihood method for Gaussian graphical models which provides scale invariant sparse estimation of the precision matrix and improves upon the popular graphical LASSO method.…

Methodology · Statistics 2025-10-30 Jack Storror Carter , Cesare Molinari

A backward biorthogonalization approach is proposed, which modifies biorthogonal functions so as to generate orthogonal projections onto a reduced subspace. The technique is relevant to problems amenable to be represented by a general…

Mathematical Physics · Physics 2007-05-23 Laura Rebollo-Neira

In this announcement, we deal with the Orthogonal Procrustes Problem, in which two point configurations are compared in order to construct a map to optimally align the two sets. This extends this to $\varepsilon$-diffeomorphisms, introduced…

Classical Analysis and ODEs · Mathematics 2023-08-03 Neophytos Charalambides , Steven B. Damelin , Bradley Swartz

Known algorithms for manipulating octagons do not preserve their sparsity, leading typically to quadratic or cubic time and space complexities even if no relation among variables is known when they are all bounded. In this paper, we present…

Programming Languages · Computer Science 2016-12-02 Jacques-Henri Jourdan

Photoacoustic tomography (PAT) has the potential to recover morphological and functional tissue properties with high spatial resolution. However, previous attempts to solve the optical inverse problem with supervised machine learning were…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Melanie Schellenberg , Janek Gröhl , Kris K. Dreher , Jan-Hinrich Nölke , Niklas Holzwarth , Minu D. Tizabi , Alexander Seitel , Lena Maier-Hein

Generative Adversarial Networks (GANs) are gaining increasing attention as a means for synthesising data. So far much of this work has been applied to use cases outside of the data confidentiality domain with a common application being the…

Machine Learning · Computer Science 2021-12-06 Claire Little , Mark Elliot , Richard Allmendinger , Sahel Shariati Samani

Synthetic data generation is a key technique in modern artificial intelligence, addressing data scarcity, privacy constraints, and the need for diverse datasets in training robust models. In this work, we propose a method for generating…

Imbalanced classification and spurious correlation are common challenges in data science and machine learning. Both issues are linked to data imbalance, with certain groups of data samples significantly underrepresented, which in turn would…

Machine Learning · Statistics 2026-02-10 Ryumei Nakada , Yichen Xu , Lexin Li , Linjun Zhang

Synthetic data generation is an appealing tool for augmenting and enriching datasets, playing a crucial role in advancing artificial intelligence (AI) and machine learning (ML). Not only does synthetic data help build robust AI/ML datasets…

Systems and Control · Electrical Eng. & Systems 2026-03-20 José Pulido , Francesc Wilhelmi , Sergio Fortes , Alfonso Fernández-Durán , Lorenzo Galati Giordano , Raquel Barco

Existing private synthetic data generation algorithms are agnostic to downstream tasks. However, end users may have specific requirements that the synthetic data must satisfy. Failure to meet these requirements could significantly reduce…

Machine Learning · Computer Science 2023-10-20 Hao Wang , Shivchander Sudalairaj , John Henning , Kristjan Greenewald , Akash Srivastava

Synthetic data is being used lately for training deep neural networks in computer vision applications such as object detection, object segmentation and 6D object pose estimation. Domain randomization hereby plays an important role in…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Parth Rawal , Mrunal Sompura , Wolfgang Hintze