36 citations · 122 across the 19 of their papers we have counts for
21 papers
A counting proof for the smallest critical set in a Latin square
Richard Bean
A critical set in a Latin square is a set of entries that determines the square uniquely and is minimal with this property. We prove that every partial Latin square of order wi…
A tight single-change covering design with block size 6
Richard Bean
We give a tight single-change covering design with and . This answers Problem 1 of the Nineteenth British Combinatorial Conference, which asked whether such a design ex…
Critical Sets in Latin Squares and Associated Structures
Richard Winston Bean
A critical set in a Latin square of order is a set of entries in an array which can be embedded in precisely one Latin square of order , with the property that i…
Ultrasound cavitation and exfoliation dynamics of 2D materials re-vealed in operando by X-ray free electron laser megahertz imaging
Kang Xiang, Shi Huang, Hongyuan Song +22
Ultrasonic liquid phase exfoliation is a promising method for the production of two-dimensional (2D) layered materials. A large number of studies have been made in investigating th…
3D-Printed Sheet Jet for Stable Megahertz Liquid Sample Delivery at X-ray Free Electron Lasers
Patrick E. Konold, Tong You, Johan Bielecki +23
X-ray Free Electron Lasers (XFELs) can probe chemical and biological reactions as they unfold with unprecedented spatial and temporal resolution. A principal challenge in this purs…
Megahertz X-ray Multi-projection imaging
Pablo Villanueva-Perez, Valerio Bellucci, Yuhe Zhang +21
X-ray time-resolved tomography is one of the most popular X-ray techniques to probe dynamics in three dimensions (3D). Recent developments in time-resolved tomography opened the po…
Online dynamic flat-field correction for MHz Microscopy data at European XFEL
Sarlota Birnsteinova, Danilo E. Ferreira de Lima, Egor Sobolev +16
The X-ray microscopy technique at the European X-ray free-electron laser (EuXFEL), operating at a MHz repetition rate, provides superior contrast and spatial-temporal resolution co…
Absolute spectral metrology of XFEL pulses using diffraction in crystals
Ilia Petrov, Liubov Samoylova, Sarlota Birnsteinova +13
At modern X-ray sources, such as synchrotrons and X-ray Free-Electron Lasers (XFELs), it is important to measure the absolute value of the photon energy directly. Here, a method fo…
Predict+Optimize Problem in Renewable Energy Scheduling
Christoph Bergmeir, Frits de Nijs, Evgenii Genov +25
Predict+Optimize frameworks integrate forecasting and optimization to address real-world challenges such as renewable energy scheduling, where variability and uncertainty are criti…
How to predict and optimise with asymmetric error metrics
Mahdi Abolghasemi, Richard Bean
In this paper, we examine the concept of the predict and optimise problem with specific reference to the third Technical Challenge of the IEEE Computational Intelligence Society. I…
Methodology for forecasting and optimization in IEEE-CIS 3rd Technical Challenge
Richard Bean
This report provides a description of the methodology I used in the IEEE-CIS 3rd Technical Challenge. For the forecast, I used a quantile regression forest approach using the solar…
3D diffractive imaging of nanoparticle ensembles using an X-ray laser
Kartik Ayyer, P. Lourdu Xavier, Johan Bielecki +34
We report the 3D structure determination of gold nanoparticles (AuNPs) by X-ray single particle imaging (SPI). Around 10 million diffraction patterns from gold nanoparticles were m…
A Coalition Formation Game Framework for Peer-to-Peer Energy Trading
Wayes Tushar, Tapan K. Saha, Chau Yuen +5
This paper studies social cooperation backed peer-to-peer energy trading technique by which prosumers can decide how they can use their batteries opportunistically for participatin…
Megahertz single-particle imaging at the European XFEL
Egor Sobolev, Serguey Zolotarev, Klaus Giewekemeyer +60
The emergence of high repetition-rate X-ray free-electron lasers (XFELs) powered by superconducting accelerator technology enables the measurement of significantly more experimenta…
X-ray diffractive imaging of controlled gas-phase molecules: Toward imaging of dynamics in the molecular frame
Thomas Kierspel, Andrew Morgan, Joss Wiese +25
We report experimental results on the diffractive imaging of three-dimensionally aligned 2,5-diiodothiophene molecules. The molecules were aligned by chirped near-infrared laser pu…
Grid Influenced Peer-to-Peer Energy Trading
Wayes Tushar, Tapan Kumar Saha, Chau Yuen +4
This paper proposes a peer-to-peer energy trading scheme that can help the centralized power system to reduce the total electricity demand of its customers at the peak hour. To do…
Using solar and load predictions in battery scheduling at the residential level
Richard Bean, Hina Khan
Smart solar inverters can be used to store, monitor and manage a home's solar energy. We describe a smart solar inverter system with battery which can either operate in an automati…
Strongly aligned gas-phase molecules at Free-Electron Lasers
Thomas Kierspel, Joss Wiese, Terry Mullins +27
We demonstrate a novel experimental implementation to strongly align molecules at full repetition rates of free-electron lasers. We utilized the available in-house laser system at…
Critical sets in the elementary abelian 2- and 3- groups
Richard Bean
In 1998, Khodkar showed that the minimal critical set in the Latin square corresponding to the elementary abelian 2-group of order 16 is of size at most 124. Since the paper was pu…
The size of the smallest uniquely completable set in order 8 Latin squares
Richard Bean
In 1990, Kolesova, Lam and Thiel determined the 283,657 main classes of Latin squares of order 8. Using techniques to determine relevant Latin trades and integer programming, we ex…
A new bound on the size of the largest critical set in a Latin square
Richard Bean, E. S. Mahmoodian
A critical set in an n x n array is a set C of given entries, such that there exists a unique extension of C to an n x n Latin square and no proper subset of C has this property. T…