26 papers · ranked by Valyu relevance
Łukasz Matysiak, Weronika Przewozniak, Natalia Rulinska
Matrices are very popular and widely used in mathematics and other fields of science. Every mathematician has known the properties of finite-sized matrices since the time of study. In this paper, we consider the basic theory of infinite matrices. So far, there have been references and few results in certain scientific…
Ottavia M. Epifania, Andrea Brancaccio, Pasquale Anselmi, Debora de Chiusole
Few resources are available for the automatic generation of Raven-like matrices. Some of them are no longer working, while others are hardly customizable without advanced programming skills. Although an R package exists for generating stimuli for psychological assessments, it currently only supports creating rotations…
Ayesha Gauhar, Adnan Rashid, Osman Hasan, João Bispo + 2 more
MATLAB is a software based analysis environment that supports a high-level programing language and is widely used to model and analyze systems in various domains of engineering and sciences. Traditionally, the analysis of MATLAB models is done using simulation and debugging/testing frameworks. These methods provide…
Frank Uhlig
We assess the situation of our elementary Linear Algebra classes in the US holistically and through personal history recollections. Possible remedies for our elementary Linear Algebra's teaching problems are discussed and a change from abstract algebraic taught classes to a concrete matrix based first course is…
Behdad Zarnegar, Berit Carow, Jens Eriksson, Eva Spennare + 14 more
Matrix-M^®^ adjuvant, containing saponins, delivers a potent adjuvant effect and good safety profile. Given that Matrix-M is composed of Matrix-A and Matrix-C particles, comprising different saponin fractions, understanding their distinct roles can provide deeper insight into the mechanism of action of Matrix-M and…
Erwin P. Gianchandani, Andrew R. Joyce, Bernhard Ø. Palsson, Jason A. Papin + 1 more
'Jason A. Papin' 'Aviv Regev'] A transcriptional regulatory network (TRN) constitutes the collection of regulatory rules that link environmental cues to the transcription state of a cell's genome. We recently proposed a matrix formalism that quantitatively represents a system of such rules (a transcriptional regulatory…
Fabio Sacher, Christian Feregrino, Patrick Tschopp, Collin Y. Ewald
Transcriptomic signatures based on cellular mRNA expression profiles can be used to categorize cell types and states. Yet whether different functional groups of genes perform better or worse in this process remains largely unexplored. Here we test the core matrisome - that is, all genes coding for structural proteins…
John Ibrahim
Human-Brain Artificial-Intelligence Matrix is a new technology aims to connect the human brain with the machine for the purpose of enabling the human brain to perform defined functions even if it becomes unable to perform them such as performing the function of vision in case of blindness, the function of hearing in…
Enrico De Santis, Alessio Martino, Antonello Rizzi, Muhammad Aleem
In many real-world applications concerning pattern recognition techniques, it is of utmost importance the automatic learning of the most appropriate dissimilarity measure to be used in object comparison. Real-world objects are often complex entities and need a specific representation grounded on a composition of…
Arni Sturluson, Ali Raza, Grant D. McConachie, Daniel Siderius + 2 more
Nanoporous materials (NPMs) selectively adsorb and concentrate gases into their pores, and thus could be used to store, capture, and sense many different gases. Modularly synthesized classes of NPMs, such as covalent organic frameworks (COFs), offer a large number of candidate structures for each adsorption task. A…
harry gray
The matrix exponential method as implemented in MATLAB is demonstrated as a facile tool for solving the time-dependent concentrations of an arbitrary chemically reactive network modelled as a coupled linear system of first-order differential equations. The method is used to verify a 10 species network incorporating…
Maxwell Christopher Day, Frank Christopher Hawthorne
Chains of TO4n− tetrahedra are represented as chain graphs in which tetrahedra are represented as vertices and the linkage between tetrahedra is represented as edges. Topologically distinct chain graphs are generated for all possible chain stoichiometries (up to a boundary number of tetrahedra) using the formalisms of…
V. M. Red’kov, Е. М. Ovsiyuk
In polarization optics, an important role play Mueller matrices – real four-dimensional matrices which describe the effect of action of optical elements on the polarization state of the light, described by 4 dimensional Stokes vectors. An important issue is to classify possible classes of the Mueller matrices. In…
Oskar Weser, Björn Hein Hanke, Ricardo Mata
In this work, we present a fully automated method for the construction of chemically meaningful sets of non-redundant internal coordinates (also commonly denoted as Z-matrices) from the cartesian coordinates of a molecular system. Particular focus is placed on avoiding ill-definitions of angles and dihedrals due to…
Oskar Weser, Björn Hein Hanke, Ricardo Mata
In this work, we present a fully automated method for the construction of chemically meaningful sets of non-redundant internal coordinates (also commonly denoted as Z-matrices) from the cartesian coordinates of a molecular system. Particular focus is placed on avoiding ill-definitions of angles and dihedrals due to…
Yue Wang, Xueying Tian
Knowing gene regulatory networks (GRNs) is important for understanding various biological mechanisms. In this paper, we present a method, QWENDY, that uses single-cell gene expression data measured at four time points to infer GRNs. Based on a linear gene expression model, it solves the transformation of the covariance…
Gianluca Milano, Davide Pilati, Fabio Michieletti, Alessandro Cultrera + 2 more
Memristive devices represent promising building blocks for the development of next-generation memory technologies, computing architectures, and neuromorphic systems. In addition to conventional two-terminal memristive circuits and crossbar array structures, multiterminal memristive systems, where emergent behaviours…
Pavel Pokhilko, Evgeny Epifanovsky, Anna I. Krylov
Standard implementations of non-relativistic excited-state calculations compute only one component of spin multiplets (i.e., Ms =0 triplets), however, matrix elements for all components are necessary for calculations of experimentally relevant spin-dependent quantities. To circumvent explicit calculations of all…
R. Balaji, R.B. Bapat, Shivani Goel
Let G be a strongly connected and balanced directed graph. The Laplacian matrix of G is then the matrix (not necessarily symmetric) L := D − A, where A is the adjacency matrix of G and D is the diagonal matrix such that the row sums and the column sums of L are equal to zero. Let L † = [l † ij ] be the Moore-Penrose…
Dan Comănescu
A Lyapunov matrix equation can be converted, by using the Jordan decomposition theorem for matrices, into an equivalent Lyapunov matrix equation where the matrix is a Jordan matrix. The Lyapunov matrix equation with Jordan matrix can be reduced to a system of Sylvester-Lyapunov type matrix equations. We completely…
Ruslan Lukin, Maxim Faleev, Rostislav Grigorev
Applying deep learning to search for catalysts is an important challenge for solving energy storage problems and the conversion of greenhouse gases into more valuable products caused by global warming. We present several graph neural networks (GNNs) in our work, including convolutional and message passing architectures…
Shane Barratt
In this note, we define a Gaussian probability distribution over matrices. We prove some useful properties of this distribution, namely, the fact that marginalization, conditioning, and affine transformations preserve the matrix Gaussian distribution. We also derive useful results regarding the expected value of…
Daniel Gourion
In 2010, Hiriart-Urruty and Seeger posed the problem of finding the maximal possible angle θn between two copositive matrices of order n. They proved that θ2 = 3 4 π. In this paper, we study the maximal angle between two copositive matrices of order 3. We show that θ3 = 3 4 π and give all possible pairs of matrices…
Kathakali Sarkar, Deepro Bonnerjee, Sangram Bagh
Maze generating and solving are challenging problems in mathematics and computing. Here we generated simple 2X2 maze problems applying four chemicals and created a set of engineered bacteria, which in a mixed population worked as a computational solver for any such problem. The input-output matrices of a mathematical…
Mehmet Aziz Yirik, Maria Sorokina, Christoph Steinbeck
The generation of constitutional isomer chemical spaces has been a subject of cheminformatics since the early 1960s, with applications in structure elucidation and elsewhere. In order to perform such a generation efficiently, exhaustively and isomorphism-free, the structure generator needs to ensure the building of…
Omar Mahmood, Claudia Skok Gibbs, Richard Bonneau, Kyunghyun Cho
Inferring gene regulatory networks (GRNs) from single-cell gene expression datasets is a challenging task. Existing methods are often designed heuristically for specific datasets and lack the flexibility to incorporate additional information or compare against other algorithms. Further, current GRN inference methods do…