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Mathematics & Statistics

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Displaying 1 - 25 of 871

Status Report on the Fourth Round of the NIST Post-Quantum Cryptography Standardization Process

March 11, 2025
Author(s)
Gorjan Alagic, Maxime Bros, Pierre Ciadoux, David Cooper, Quynh Dang, Thinh Dang, John Kelsey, Jacob Lichtinger, Yi-Kai Liu, Carl Miller, Dustin Moody, Rene Peralta, Ray Perlner, Angela Robinson, Hamilton Silberg, Daniel Smith-Tone, Noah Waller
The National Institute of Standards and Technology is selecting public-key cryptographic algorithms through a public, competition-like process. The new public-key cryptography standards will specify additional digital signatures, public-key encryption, and

Error Floor Prediction with Markov Models for QC-MDPC Codes

February 1, 2025
Author(s)
Sarah Arpin, Jun Bo Lau, Ray Perlner, Angela Robinson, Valentin Vasseur, Jean-Pierre Tillich
Quasi-cyclic moderate-density parity check (QC-MDPC) code-based encryption schemes under iterative decoders offer highly-competitive performance in the quantum-resistant space of cryptography, but the decoding-failure rate (DFR) of these algorithms are not

WLAN Protocols Identification Using Machine Learning and Ensemble Models

January 7, 2025
Author(s)
Akimun Jannat Alvina, Yao Ma, Mark Golkowski
The growing demand for wireless communications has caused significant spectrum congestion, requiring multiple WLAN protocols to share limited spectrum resources. To address this, further research is necessary to optimize spectrum sharing and improve

Workshop on Compositional Structures in Systems Engineering and Design

December 20, 2024
Author(s)
Spencer Breiner, Eswaran Subrahmanian, Joseph Moeller, Priyaa Varshinee Srinivasan
The focus of this workshop is to foster the development of applications of category theory to systems engineering and design. We are interested in bringing together experts from engineering and applied category theory, and those involved in software tools

Two tests of variance homogeneity for clustered data where group size is informative

December 3, 2024
Author(s)
Mary Gregg, Adam Creuziger, Somnath Datta, Douglas Lorenz
To evaluate variance homogeneity among groups for clustered data, Iachine et al. (Robust tests for the equality of variances for clustered data. J Stat Comput Simul 2010;80(4):365–377) introduced an extension of the well-known Levene test. However, this

Status Report on the First Round of the Additional Digital Signature Schemes for the NIST Post-Quantum Cryptography Standardization Process

October 24, 2024
Author(s)
Gorjan Alagic, Maxime Bros, Pierre Ciadoux, David Cooper, Quynh Dang, Thinh Dang, John M. Kelsey, Jacob Lichtinger, Carl A. Miller, Dustin Moody, Rene Peralta, Ray Perlner, Angela Robinson, Hamilton Silberg, Daniel Smith-Tone, Noah Waller, Yi-Kai Liu
The National Institute of Standards and Technology is in the process of evaluating public-key digital signature algorithms through a public competition-like process for potential standardization. Any signature scheme eventually selected would augment

On a conjecture that strengthens Kundu's k-factor Theorem

October 6, 2024
Author(s)
James Shook
Let π = (d1, . . . , dn) be a non-increasing degree sequence with even n. In 1974, Kundu showed that if Dk(π) = (d1 − k, . . . , dn − k) is graphic, then some realization of π has a k-factor. For r ≤ 2, Busch et al. and later Seacrest for r ≤ 4 showed that

A Note on Tangential Quadrilaterals

September 2, 2024
Author(s)
Pradeep Das, Abhishek Juyal, Dustin Moody
A tangential quadrilateral is a convex quadrilateral whose sides are simultaneously tangent to a single circle. In this paper, the primary objective is to construct rational tangen- tial quadrilaterals characterized by having rational area, as well as

Multifaceted Neuroimaging Data Integration via Analysis of Subspaces

August 28, 2024
Author(s)
Andrew Ackerman, Zhengwu Zhang, Jan Hannig, Jack Prothero, J.S. Marron
Neuroimaging studies, such as the Human Connectome Project (HCP), often collect multifaceted and multi-block data to study the complex human brain. However, these data are often analyzed in a pairwise fashion, which can hinder our understanding of how

On the Semidirect Discrete Logarithm Problem in Finite Groups

June 6, 2024
Author(s)
Christopher Battarbee, Giacomo Borin, Julian Brough, Ryann Cartor, Tobias Hemmert, Nadia Heninger, David Jao, Delaram Kahrobaei, Laura Maddison, Edoardo Persichetti, Angela Robinson, Daniel Smith-Tone, Rainer Steinwandt
We present an efficient quantum algorithm for solving the semidirect discrete logarithm problem (SDLP) in any finite group. The believed hardness of the semidirect discrete logarithm problem underlies more than a decade of works constructing candidate post

Mathematical Entities: Corpora and Benchmarks

May 20, 2024
Author(s)
Jacob Collard, Valeria de Paiva, Eswaran Subrahmanian
Mathematics is a highly specialized domain with its own unique set of challenges. Despite this, there has been relatively little research on natural language processing for mathematical texts, and there are few mathematical language resources aimed at NLP

Do good: strategies for leading an inclusive data science or statistics consulting team

May 12, 2024
Author(s)
Christina Maimone, Julia Sharp, Ofira Schwartz-Soicher, Jeffrey Oliver, Lencia Beltran
Leading a data science or statistical consulting team in an academic environment can have many challenges including institutional infrastructure, funding, and technical expertise. Even in the most challenging environment, however, leading such a team with

An Interlaboratory Study for Assessing Repeatability and Reproducibility of the Data Generated by Rotating Drum Powder Rheometers Part 1: Granudrum

May 3, 2024
Author(s)
Vipin Tondare, Justin Whiting, Adam L. Pintar, Shawn P. Moylan, Aurelien Neveu, Filip Francqui
The National Institute of Standards and Technology (NIST) organized an interlaboratory study to assess the repeatability and reproducibility of the data generated by two commercially available rotating drum powder rheometers namely, Granudrum and

Accelerating Defect Predictions in Semiconductors Using Graph Neural Networks

March 27, 2024
Author(s)
Md. Habibur Rahman, Prince Gollapalli, Panayotis Manganaris, Satyesh Kumar Yadav, Ghanshyam Pilania, Arun Kumar Mannodi-Kanakkithodi, Brian DeCost, Kamal Choudhary
First principles computations reliably predict the energetics of point defects in semiconductors, but are constrained by the expense of using large supercells and advanced levels of theory. Machine learning models trained on computational data, especially

Discover STEM Education Resources

March 6, 2024
Author(s)
Cara O'Malley, Elizabeth Benham
The National Institute of Standards & Technology (NIST) invites educators to discover STEM resources on the NIST Educational STEM Resource (NEST-R) registry! Published by NIST scientists, engineers, & staff, NEST-R content is free & publicly available. It

Recommendation for Key Derivation Using Pseudorandom Functions

February 2, 2024
Author(s)
Lily Chen
This Recommendation specifies techniques for the derivation of additional keying material from a secret key—either established through a key-establishment scheme or shared through some other manner—using pseudorandom functions: HMAC, CMAC, and KMAC.