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Applied mathematics articles within Nature
Article 19 June 2024 | Open Access
Multiscale topology classifies cells in subcellular spatial transcriptomics
A method for topological automatic cell type classification across subcellular resolution spatial transcriptomic platforms is proposed, resolving cell type information and locating sparsely dispersed cells in human kidney and mouse kidney and brain.
- Katherine Benjamin
- , Aneesha Bhandari
- & Katherine R. Bull
Article 13 September 2023 | Open Access
Learning heterogeneous reaction kinetics from X-ray videos pixel by pixel
Analysis of a large dataset of scanning transmission X-ray microscopy images of carbon-coated lithium iron phosphate nanoparticles shows that the heterogeneous reaction kinetics of battery materials can be learned from such videos pixel by pixel.
- Hongbo Zhao
- , Haitao Dean Deng
- & Martin Z. Bazant
Article | 09 August 2023
Solid-body trajectoids shaped to roll along desired pathways
An algorithm is developed to design a shape, a trajectoid, that can trace any given infinite periodic trajectory when rolling down a slope, finding unexpected implications for quantum and classical optics.
- Yaroslav I. Sobolev
- , Ruoyu Dong
- & Bartosz A. Grzybowski
Article | 26 July 2023
Heat-assisted detection and ranging
Heat-assisted detection and ranging is experimentally shown to see texture and depth through darkness as if it were day, and also perceives decluttered physical attributes beyond RGB or thermal vision.
- Fanglin Bao
- , Xueji Wang
- & Zubin Jacob
Article 05 October 2022 | Open Access
Discovering faster matrix multiplication algorithms with reinforcement learning
A reinforcement learning approach based on AlphaZero is used to discover efficient and provably correct algorithms for matrix multiplication, finding faster algorithms for a variety of matrix sizes.
- Alhussein Fawzi
- , Matej Balog
- & Pushmeet Kohli
Article | 24 August 2022
Mechanical integrated circuit materials
A mechanical integrated circuit material based on Boolean mathematics and reconfigurable electrical circuits is created to demonstrate scalable information processing in synthetic, engineered soft matter.
- Charles El Helou
- , Benjamin Grossmann
- & Ryan L. Harne
Perspective | 11 May 2022
Transitioning organizations to post-quantum cryptography
Standards and recommendations for transitioning organizations to quantum-secure cryptographic protocols are outlined, including a discussion of transition timelines and the leading strategies to protect systems against quantum attacks.
- David Joseph
- , Rafael Misoczki
- & Royal Hansen
Article | 09 February 2022
Outracing champion Gran Turismo drivers with deep reinforcement learning
Using the game Gran Turismo, an agent was trained with a combination of deep reinforcement learning algorithms and specialized training scenarios, demonstrating success against championship-level human racers.
- Peter R. Wurman
- , Samuel Barrett
- & Hiroaki Kitano
Article | 14 April 2021
Non-reciprocal phase transitions
A theoretical study of non-reciprocity in collective phenomena reveals the emergence of time-dependent phases heralded by exceptional points in contexts ranging from synchronization and flocking to pattern formation.
- Michel Fruchart
- , Ryo Hanai
- & Vincenzo Vitelli
Article | 18 March 2020
Loopy Lévy flights enhance tracer diffusion in active suspensions
A theoretical framework describing the hydrodynamic interactions between a passive particle and an active medium in out-of-equilibrium systems predicts long-range Lévy flights for the diffusing particle driven by the density of the active component.
- Kiyoshi Kanazawa
- , Tomohiko G. Sano
- & Adrian Baule
Letter | 04 September 2019
Information gerrymandering and undemocratic decisions
In a voter game, information gerrymandering can sway the outcome of the vote towards one party, even when both parties have equal sizes and each player has the same influence; and this effect can be exaggerated by strategically placed zealots or automated bots.
- Alexander J. Stewart
- , Mohsen Mosleh
- & Joshua B. Plotkin
Letter | 30 January 2019
Tissue curvature and apicobasal mechanical tension imbalance instruct cancer morphogenesis
Three-dimensional imaging of mouse pancreatic ducts before and after oncogenic transformation reveals that epithelial tumorigenesis is determined by the relationship between tissue curvature and apical–basal mechanical tension.
- Hendrik A. Messal
- , Silvanus Alt
- & Axel Behrens
Letter | 23 January 2019
Computational periscopy with an ordinary digital camera
A faint penumbra in a photograph of a diffuse surface enables recovery of the position of the object creating the penumbra and an image of the scene behind it.
- Charles Saunders
- , John Murray-Bruce
- & Vivek K Goyal
Letter | 17 October 2018
A separated vortex ring underlies the flight of the dandelion
The flight of dandelion seeds is enabled by an extraordinary vortex ring, which was revealed by the visualization of the flow around the seed.
- Cathal Cummins
- , Madeleine Seale
- & Naomi Nakayama
Letter | 23 May 2018
Addressing the minimum fleet problem in on-demand urban mobility
An optimal computationally efficient solution to the problem of finding the minimum taxi fleet size using a vehicle-sharing network is presented.
- M. M. Vazifeh
- & C. Ratti
Article 01 March 2018 | Open Access
Mapping local variation in educational attainment across Africa
Local-level analyses show that, despite marked progress in educational attainment from 2000 to 2015 across Africa, substantial differences persist between locations and sexes that have widened in many countries.
- Nicholas Graetz
- , Joseph Friedman
- & Simon I. Hay
Letter | 05 October 2017
Giga-voxel computational morphogenesis for structural design
Giga-voxel-resolution computational morphogenesis is used to optimize the internal structure of a full-scale aeroplane wing, yielding light-weight designs with more similarities to animal bone structures than to current aeroplane wing designs.
- , Erik Andreassen
- & Ole Sigmund
Article | 13 April 2017
A living mesoscopic cellular automaton made of skin scales
A mesoscopic cellular automaton arising from a microscopic reaction–diffusion system as a function of skin thickness is observed in ocellated lizards, showing that cellular automata are not merely abstract computational systems, but can directly correspond to processes generated by biological evolution.
- Liana Manukyan
- , Sophie A. Montandon
- & Michel C. Milinkovitch
Letter | 29 March 2017
Evolutionary dynamics on any population structure
The authors derive a condition for how natural selection chooses between two competing strategies on any graph for weak selection, elucidating which population structures promote certain behaviours, such as cooperation.
- Benjamin Allen
- , Gabor Lippner
- & Martin A. Nowak
Letter | 27 April 2016
Dynamics from noisy data with extreme timing uncertainty
A data-analytical approach that can extract the history and dynamics of complex systems from noisy snapshots on timescales much shorter than the uncertainty with which the data were recorded is described; the approach is demonstrated by extracting the dynamics on the few-femtosecond timescale from experimental data recorded with 300-femtosecond timing uncertainty.
- , A. M. Hanna
- & A. Ourmazd
Letter | 21 October 2015
The rise of fully turbulent flow
Experiments, asymptotic theory and computer simulations of wall-bounded shear flow uncover a bifurcation scenario that explains the transition from localized turbulent patches to fully turbulent flow.
- Dwight Barkley
- , Baofang Song
- & Björn Hof
Letter | 26 August 2015
The disruption of multiplanet systems through resonance with a binary orbit
In a multiplanet system, when orbital precession is fast enough to resonate with the orbital motion of a distant binary companion, the results range from excitation of large planetary eccentricities and mutual inclinations to total disruption.
- Jihad R. Touma
- & S. Sridhar
Letter | 22 May 2013
Flux-freezing breakdown in high-conductivity magnetohydrodynamic turbulence
A magnetohydrodynamic simulation of a magnetized plasma at high conductivity shows that, whereas the magnetic flux can be considered ‘frozen’ into the medium for laminar flow, in a turbulent medium the motion of the field lines can become indeterministic, leading to a breakdown in flux freezing.
- Gregory Eyink
- , Ethan Vishniac
- & Alexander Szalay
Shear-driven dynamo waves at high magnetic Reynolds number
High-resolution simulations show that dynamos can generate organized fields at high conductivity in the form of propagating dynamo waves.
- S. M. Tobias
- & F. Cattaneo
Letter | 23 December 2012
Topological colloids
Topologically distinct colloidal particles introduced into a nematic liquid crystal align and generate topology-constrained three-dimensional director fields and defects in the liquid crystal fluid that can be manipulated with a variety of methods, opening up a new area of exploration in the field of soft matter.
- Bohdan Senyuk
- , Qingkun Liu
- & Ivan I. Smalyukh
News | 14 September 2012
The astronomical unit gets fixed
Earth–Sun distance changes from slippery equation to single number.
- Geoff Brumfiel
News | 10 September 2012
Proof claimed for deep connection between primes
If it is true, a solution to the abc conjecture about whole numbers would be an ‘astounding’ achievement.
- Philip Ball
Books & Arts | 05 September 2012
Q&A: Maths demystifier
Mathematician Glen Whitney left a job in finance to set up the Museum of Mathematics (MoMath), which is due to open in Manhattan, New York, on 15 December. He wants to spread the word that mathematics is a beautiful discipline and all around us, from the geometry of soap bubbles to the algorithms that control traffic lights.
- Jascha Hoffman
News | 06 January 2012
Mathematician claims breakthrough in Sudoku puzzle
Puzzles must have at least 17 clues to have a valid solution.
- Eugenie Samuel Reich
Books & Arts | 26 October 2011
Q&A: The mathemagician
Mathematician Persi Diaconis of Stanford University in California ran away from home in his teens to perform card tricks. As he publishes a book on the mathematics of magic, co-authored with juggler and fellow mathematician Ron Graham, he explains what makes a good trick.
Books & Arts | 24 August 2011
Mathematics: Life models
Biology is too complex to be unified by mathematics, finds Marc Feldman.
- Marc Feldman
Correspondence | 10 August 2011
Mathematics walks into history
News | 23 February 2011
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Testing the expanding Universe
A model of the cosmological constant invokes alternate realities.
- Kate McAlpine
News & Views | 12 January 2011
Beyond Feynman's diagrams
Generations of physicists have spent much of their lives using Richard Feynman's famous diagrams to calculate how particles interact. New mathematical tools are simplifying the results and suggesting improved underlying principles.
Review Article | 15 December 2010
Emerging properties of animal gene regulatory networks
- Eric H. Davidson
Obituary | 17 November 2010
Benoît Mandelbrot (1924–2010)
Mathematician, and father of fractal geometry, who described the roughness of nature.
- Ralph Gomory
News Feature | 16 June 2010
Metrics: Do metrics matter?
Many researchers believe that quantitative metrics determine who gets hired and who gets promoted at their institutions. With an exclusive poll and interviews, Nature probes to what extent metrics are really used that way.
- Alison Abbott
- , David Cyranoski
- & Richard Van Noorden
Opinion | 16 June 2010
How to improve the use of metrics
Since the invention of the science citation index in the 1960s, quantitative measuring of the performance of researchers has become ever more prevalent, controversial and influential. Six commentators tell Nature what changes might ensure that individuals are assessed more fairly.
Metrics: A profusion of measures
Scientific performance indicators are proliferating — leading researchers to ask afresh what they are measuring and why. Richard Van Noorden surveys the rapidly evolving ecosystem.
- Richard Van Noorden
News & Views | 24 February 2010
The statistics of style
A mathematical method has been developed that distinguishes between the paintings of Pieter Bruegel the Elder and those of his imitators. But can the approach be used to spot imitations of works by any artist?
- Bruno A. Olshausen
- & Michael R. DeWeese
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Recent Master’s Research Papers - Applied Mathematics
Master's research papers 2022.
Ziyuan Sun: An Introduction to the Optimal Trajectory Tracking Problem with Feedback Control Designs
Nathaniel Stemen: Quantum Circuit Compilation From The Ground Up
Master's Research Papers 2018
Jian Liang: Design of an Automatic Facial Expression Detector
Master's Research Papers 2017
Riley Brooks: Convergence Analysis of Deterministic and Stochastic Methods
Alexander Vukadinovic: Using Machine Learning Algorithms to Better Bound the Uncertainty Ranges of Parameters in GCMs
Master's Research Papers 2016
Zhanlue Liang: System and Network Synchronization
Master's Research Papers 2015
In-Ting Ho: Improvements on circle packing algorithms in two-dimensional cross-sectional areas
Kenneth Webster: Image Inpainting: A Review of Early Work and Introduction of a Multilevel Approach
Master's Research Papers 2014
Amir Issaei: Estimation of Infinite-Dimensional Systems
Trefethen's list of 13 classic papers in applied mathematics
- J.W. Cooley and J.W. Tukey, " An algorithm for the machine calculation of complex Fourier series ," Math. Comp. , 19 (1965), pp. 297–301.
- R. Courant, K. Friedrichs, and H. Lewy, " On the partial difference equations of mathematical physics ," IBM J. Res. Develop. , 11 (1967), pp. 215–234.
- A.S. Householder, " Unitary triangularization of a nonsymmetric matrix ," J. Assoc. Comput. Mach. , 5 (1958), pp. 339–342.
- C.F. Curtiss and J.O. Hirschfelder, " Integration of stiff equations ," Proc. Nat. Acad. Sci. U.S.A. , 38 (1952), pp. 235–243.
- C. de Boor, " On calculating with B -splines ," J. Approximation Theory , 6 (1972), pp. 50–62.
- R. Courant, " Variational methods for the solution of problems of equilibrium and vibrations ," Bull. Amer. Math. Soc. , 49 (1943), pp. 1–23.
- G. Golub and W. Kahan, " Calculating the singular values and pseudo-inverse of a matrix ," J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. , 2 (1965), pp. 205–224.
- A. Brandt, " Multi-level adaptive solutions to boundary-value problems ," Math. Comp. , 31 (1977), no. 138, pp. 333–390.
- M.R. Hestenes and E. Stiefel, " Methods of conjugate gradients for solving linear systems ," J. Research Nat. Bur. Standards , 49 (1952), pp. 409–436.
- R. Fletcher and M.J.D. Powell, "A rapidly convergent descent method for minimization," Comput. J. , 6 (1963/1964), pp. 163–168.
- G. Wanner, E. Hairer, and S.P. Nørsett, " Order stars and stability theorems ," BIT , 18 (1978), no. 4, pp. 475–489.
- N. Karmarkar, "A new polynomial-time algorithm for linear programming," Combinatorica , 4 (1984), no. 4, pp. 373–395.
- L. Greengard and V. Rokhlin, " A fast algorithm for particle simulations ," J. Comput. Phys. , 73 (1987), no. 2, pp. 325–348.
Origin of this list
Indian Journal of Pure and Applied Mathematics
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Mathematics > Numerical Analysis
Title: iterative refinement with low-precision posits.
Abstract: This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard IEEE floating-point format. The method is applied to solve a general linear system represented by the equation $Ax = b$, where $A$ is a large sparse matrix. Various scaling techniques, such as row and column equilibration, map the matrix entries to higher-density regions of machine numbers before performing the $O(n^3)$ factorization operation. Low-precision LU factorization followed by forward/backward substitution provides an initial estimate. The results demonstrate that a 16-bit posit configuration combined with equilibration produces accuracy comparable to IEEE half-precision (fp16), indicating a potential for achieving a balance between efficiency and accuracy.
Comments: | preprint CoNGA'24 |
Subjects: | Numerical Analysis (math.NA) |
classes: | 65F05 (Primary) 65F50 (Secondary) |
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(or [math.NA] for this version) | |
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Journal of Applied Mathematics is an open access journal that publishes original research papers and review articles in all areas of applied, computational, and industrial mathematics. As part of Wiley's Forward Series , this journal offers a streamlined, faster publication experience with a strong emphasis on integrity.
Applied mathematics is the application of mathematical techniques to describe real-world systems and solve technologically relevant problems. This can include the mechanics of a moving body, the ...
Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, has published research papers written by many of the foremost ...
A new possibilistic-based clustering method for probability density functions and its application to detecting abnormal elements. Hung Tran-Nam. , Thao Nguyen-Trang. & Ha Che-Ngoc. Article. 31 ...
About This Journal. Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Read the journal's full aims and scope. Most Recent. Most Cited.
About the journal. Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems - oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new …. View full aims & scope.
Mechanical integrated circuit materials. A mechanical integrated circuit material based on Boolean mathematics and reconfigurable electrical circuits is created to demonstrate scalable information ...
The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics.The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering …. View full aims & scope $3160
The IMA Journal of Applied Mathematics is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable ... Authors interested in publishing in IMA Journal of Applied Mathematics may be able to publish their paper Open Access using funds available through their ...
Applied Mathematics Research. In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications. Applied Mathematics Fields The mathematics of surface tension. Combinatorics; Computational Biology
Overview. The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Papers considered for publication must contain significant contributions and applications from a mathematical perspective.
math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both ...
Applied Mathematics and Mechanics is a comprehensive journal presenting original research on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.. Founded by Professor Weizang CHIEN in May 1980. Editorial Committee consists of global scientists in applied mathematics and mechanics.
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Mathematics, Pure and Applied Math | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on MATHEMATICS. Find methods information, sources, references or ...
Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Read the journal's full aims and scope
Master's Research Papers 2017. Riley Brooks: Convergence Analysis of Deterministic and Stochastic Methods. Alexander Vukadinovic: Using Machine Learning Algorithms to Better Bound the Uncertainty Ranges of Parameters in GCMs. Master's Research Papers 2016. Zhanlue Liang: System and Network Synchronization. Master's Research Papers 2015.
In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications. Combinatorics. Computational Biology. Physical Applied Mathematics. Computational Science & Numerical Analysis.
Applied Mathematical Modelling is primarily interested in: Papers developing increased insights into real-world problems through novel analytical or semi-analytical mathematical and computational modelling. Papers with multi- and interdisciplinary topics, including linking with data driven models and applications.
Trefethen's list of 13 classic papers in applied mathematics. ... Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for solving linear systems," Journal of Research of the National Bureau of Standards 49 (1952), 409-436. 10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for minimization," Computer ...
Overview. Indian Journal of Pure and Applied Mathematics is a platform for original research in all areas of pure and applied mathematics, statistics, and related areas. Offers selected research in Pure and Applied Mathematics and Statistics. Extends coverage to Operations Research, Mathematical Economics, Mathematics Biology, and Computer Science.
The Journal of Combinatorial Algorithms, Informatics and Computational Sciences. The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and …. View full aims & scope $2860
The method is applied to solve a general... The countdown begins! ... View a PDF of the paper titled Iterative Refinement with Low-Precision Posits, by James Quinlan and E. Theodore L. Omtzig ... (experimental) Abstract: This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard ...
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