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Floating-point non-associativity makes fundamental deep learning operations, such as matrix multiplication (matmul) on GPUs, inherently non-deterministic. Despite this, the statistical structure of the resulting numerical error remains…

Numerical Analysis · Mathematics 2025-11-04 Tadisetty Sai Yashwanth

Generative models have proven to be an outstanding tool for representing high-dimensional probability distributions and generating realistic-looking images. An essential characteristic of generative models is their ability to produce…

Machine Learning · Computer Science 2019-11-26 Mohamed Elfeki , Camille Couprie , Morgane Riviere , Mohamed Elhoseiny

Nowadays, there is a rapid increase in the number of sensor data generated by a wide variety of sensors and devices. Data semantics facilitate information exchange, adaptability, and interoperability among several sensors and devices.…

Databases · Computer Science 2020-11-20 Farah Karim , Maria-Esther Vidal , Sören Auer

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for big scattered datasets in $n-$dimensional space. It is a non-separable approximation, as it is…

Computational Engineering, Finance, and Science · Computer Science 2018-06-22 Zuzana Majdisova , Vaclav Skala

Representation of data on mixed variables, numerical and categorical types to get suitable feature map is a challenging task as important information lies in a complex non-linear manifold. The feature transformation should be able to…

Machine Learning · Computer Science 2020-09-22 Saswata Sahoo , Souradip Chakraborty

To address the issue that deep neural networks (DNNs) are vulnerable to model inversion attacks, we design an objective function, which adjusts the separability of the hidden data representations, as a way to control the trade-off between…

Machine Learning · Computer Science 2020-10-23 Xiaoxiao Li , Yangsibo Huang , Binghui Peng , Zhao Song , Kai Li

Dataset distillation (DD) condenses large datasets into compact yet informative substitutes, preserving performance comparable to the original dataset while reducing storage, transmission costs, and computational consumption. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Yawen Zou , Guang Li , Duo Su , Zi Wang , Jun Yu , Chao Zhang

In many modern data sets, High dimension low sample size (HDLSS) data is prevalent in many fields of studies. There has been an increased focus recently on using machine learning and statistical methods to mine valuable information out of…

Optimization and Control · Mathematics 2023-05-23 Srivathsan Amruth , Xin Yee Lam

Speech deepfake detection (DFD) has benefited from diverse acoustic and semantic speech representations, many of which encode valuable speech information and are costly to train. Existing approaches typically enhance DFD by tuning the…

Sound · Computer Science 2026-02-26 Yupei Li , Chenyang Lyu , Longyue Wang , Weihua Luo , Kaifu Zhang , Björn W. Schuller

Diffusion models have become a standard approach for generative modeling in continuous domains, yet their application to discrete data remains challenging. We investigate why Gaussian diffusion models with the DDPM solver struggle to sample…

Computation and Language · Computer Science 2026-05-28 Alexander Shabalin , Simon Elistratov , Viacheslav Meshchaninov , Ildus Sadrtdinov , Dmitry Vetrov

The xPDFsuite software program is described. It is for processing and analyzing atomic pair distribution functions (PDF) from X-ray powder diffraction data. It provides a convenient GUI for SrXplanr and PDFgetX3, allowing the users to…

Materials Science · Physics 2015-02-25 Xiaohao Yang , Pavol Juhas , Christopher L. Farrow , Simon J. L. Billinge

Recently we introduced a class of number representations denoted RN-representations, allowing an un-biased rounding-to-nearest to take place by a simple truncation. In this paper we briefly review the binary fixed-point representation in an…

Numerical Analysis · Computer Science 2012-01-20 Peter Kornerup , Jean-Michel Muller , Adrien Panhaleux

Deep learning models are dominating almost all artificial intelligence tasks such as vision, text, and speech processing. Stochastic Gradient Descent (SGD) is the main tool for training such models, where the computations are usually…

Machine Learning · Computer Science 2023-01-10 Matteo Cacciola , Antonio Frangioni , Masoud Asgharian , Alireza Ghaffari , Vahid Partovi Nia

Presented here are algorithms for converting between (decimal) scientific-notation and (binary) IEEE-754 double-precision floating-point numbers. By employing a rounding integer quotient operation these algorithms are much simpler than…

Numerical Analysis · Computer Science 2018-08-08 Aubrey Jaffer

Directional data arise in many applications where observations are naturally represented as unit vectors or as observations on the surface of a unit hypersphere. In this context, statistical depth functions provide a center--outward…

Methodology · Statistics 2026-02-24 Giuseppe Gismondi , Rebecca Rivieccio , Giuseppe Pandolfo

The modern day semantic applications store data as Resource Description Framework (RDF) data.Due to Proliferation of RDF Data, the efficient management of huge RDF data has become essential. A number of approaches pertaining to both…

Databases · Computer Science 2021-07-23 Ami Pandat , Nidhi Gupta , Minal Bhise

In recent years, dataset distillation has provided a reliable solution for data compression, where models trained on the resulting smaller synthetic datasets achieve performance comparable to those trained on the original datasets. To…

Practically all of the planning research is limited to states represented in terms of Boolean and numeric state variables. Many practical problems, for example, planning inside complex software systems, require far more complex data types,…

Artificial Intelligence · Computer Science 2023-01-02 Mojtaba Elahi , Jussi Rintanen

Financial companies continuously analyze the state of the markets to rethink and adjust their investment strategies. While the analysis is done on the digital form of data, decisions are often made based on graphical representations in…

Computer Vision and Pattern Recognition · Computer Science 2019-08-21 Naftali Cohen , Tucker Balch , Manuela Veloso

We explore the link between data representation and soft errors in dot products. We present an analytic model for the absolute error introduced should a soft error corrupt a bit in an IEEE-754 floating-point number. We show how this finding…

Numerical Analysis · Computer Science 2016-02-26 James Elliott , Mark Hoemmen , Frank Mueller