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Visualizing very large matrices involves many formidable problems. Various popular solutions to these problems involve sampling, clustering, projection, or feature selection to reduce the size and complexity of the original task. An…

Human-Computer Interaction · Computer Science 2022-06-06 Leland Wilkinson , Hengrui Luo

Background: Machine learning algorithms are widely used to predict defect prone software components. In this literature, computational experiments are the main means of evaluation, and the credibility of results depends on experimental…

Software Engineering · Computer Science 2026-01-27 Giuseppe Destefanis , Leila Yousefi , Martin Shepperd , Allan Tucker , Stephen Swift , Steve Counsell , Mahir Arzoky

This paper presents a computationally efficient decoder for multiple antenna systems. The proposed algorithm can be used for any constellation (QAM or PSK) and any labeling method. The decoder is based on matrix-lifting Semi-Definite…

Information Theory · Computer Science 2007-09-12 Amin Mobasher , Amir K. Khandani

Speech denoising is a generally adopted and impactful task, appearing in many common and everyday-life use cases. Although there are very powerful methods published, most of those are too complex for deployment in everyday and low-resources…

Sound · Computer Science 2025-05-07 Diep Luong , Mikko Heikkinen , Konstantinos Drossos , Tuomas Virtanen

The success of machine learning models relies heavily on effectively representing high-dimensional data. However, ensuring data representations capture human-understandable concepts remains difficult, often requiring the incorporation of…

Machine Learning · Statistics 2024-11-01 Jiayu Su , David A. Knowles , Raul Rabadan

Differentially Private Stochastic Gradients Descent (DP-SGD) is a prominent paradigm for preserving privacy in deep learning. It ensures privacy by perturbing gradients with random noise calibrated to their entire norm at each training…

Cryptography and Security · Computer Science 2024-06-06 Yixuan Liu , Li Xiong , Yuhan Liu , Yujie Gu , Ruixuan Liu , Hong Chen

The concept of decomposition in computer science and engineering is considered a fundamental component of computational thinking and is prevalent in design of algorithms, software construction, hardware design, and more. We propose a simple…

Logic in Computer Science · Computer Science 2023-06-22 Dror Fried , Axel Legay , Joël Ouaknine , Moshe Y. Vardi

Knowledge editing, which aims to update the knowledge encoded in language models, can be deceptive. Despite the fact that many existing knowledge editing algorithms achieve near-perfect performance on conventional metrics, the models edited…

Computation and Language · Computer Science 2025-05-20 Jiakuan Xie , Pengfei Cao , Yubo Chen , Kang Liu , Jun Zhao

Despite the increasing popularity of NLP in the humanities and social sciences, advances in model performance and complexity have been accompanied by concerns about interpretability and explanatory power for sociocultural analysis. One…

Computation and Language · Computer Science 2021-10-15 Mikael Brunila , Jack LaViolette

We present a novel, practical, and provable approach for solving diagonally constrained semi-definite programming (SDP) problems at scale using accelerated non-convex programming. Our algorithm non-trivially combines acceleration motions…

Optimization and Control · Mathematics 2023-02-07 Junhyung Lyle Kim , JA Lara Benitez , Mohammad Taha Toghani , Cameron Wolfe , Zhiwei Zhang , Anastasios Kyrillidis

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

This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about 'information compression via the matching and unification of patterns' (ICMUP). ICMUP is itself a novel approach to…

Artificial Intelligence · Computer Science 2018-10-10 J Gerard Wolff

Differential Privacy (DP) is an important privacy-enhancing technology for private machine learning systems. It allows to measure and bound the risk associated with an individual participation in a computation. However, it was recently…

Machine Learning · Computer Science 2022-09-09 Cuong Tran , My H. Dinh , Ferdinando Fioretto

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

Optimizing the phrasing of argumentative text is crucial in higher education and professional development. However, assessing whether and how the different claims in a text should be revised is a hard task, especially for novice writers. In…

Computation and Language · Computer Science 2023-05-29 Gabriella Skitalinskaya , Henning Wachsmuth

The aim of dataset distillation is to encode the rich features of an original dataset into a tiny dataset. It is a promising approach to accelerate neural network training and related studies. Different approaches have been proposed to…

Machine Learning · Computer Science 2023-05-30 Zongxiong Chen , Jiahui Geng , Derui Zhu , Herbert Woisetschlaeger , Qing Li , Sonja Schimmler , Ruben Mayer , Chunming Rong

Sentence embeddings can be decoded to give approximations of the original texts used to create them. We explore this effect in the context of text simplification, demonstrating that reconstructed text embeddings preserve complexity levels.…

Computation and Language · Computer Science 2025-10-29 Matthew Shardlow

We consider the problem of writing an arbitrary symmetric matrix as the difference of two positive semidefinite matrices. We start with simple ideas such as eigenvalue decomposition. Then, we develop a simple adaptation of the Cholesky that…

Numerical Analysis · Mathematics 2016-09-23 Jaehyun Park

Factoring a matrix into two low rank matrices is at the heart of many problems. The problem of matrix completion especially uses it to decompose a sparse matrix into two non sparse, low rank matrices which can then be used to predict…

Machine Learning · Computer Science 2018-01-12 Mukul Bhutani , Bamdev Mishra

Many algorithms use data structures that maintain properties of matrices undergoing some changes. The applications are wide-ranging and include for example matchings, shortest paths, linear programming, semi-definite programming, convex…

Data Structures and Algorithms · Computer Science 2020-10-28 Jan van den Brand