Results 41 to 50 of about 2,871 (211)

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Binary positive semidefinite matrices and associated integer polytopes [PDF]

, 2010
We consider the positive semidefinite (psd) matrices with binary entries, along with the corresponding integer polytopes.We begin by establishing some basic properties of these matrices and polytopes.
Sorensen, M M, Adam N. Letchford, Michael M. Sørensen, Letchford, A N   +3 more
core  

Binary Positive Semidefinite Matrices and Associated Integer Polytopes [PDF]

Mathematical Programming, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adam N. Letchford, Michael Malmros Sørensen   +1 more
openaire   +3 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Ising Solver Using Vertical NAND Flash Memory

Advanced Intelligent Systems, EarlyView.
Commercial V‐NAND flash memory is repurposed as a discrete‐time Ising solver by exploiting in‐memory current summation and read‐voltage‐controlled intrinsic noise. The system implements Hopfield neural‐network updates with simulated‐annealing‐like behavior, solving max‐cut problems with high accuracy and energy efficiency while using mass‐produced ...
Sung‐Ho Park, Yeongheon Yang, Jong‐Won Back, Jiseong Im, Ryun‐Han Koo, Jonghyun Ko, Dongseok Kwon, Jong‐Ho Lee   +7 more
wiley   +1 more source

Lost in Translation? Risk‐Adjusting RMSE for Economic Forecast Performance

Journal of Forecasting, EarlyView.
ABSTRACT When used for parameter optimization and/or model selection, traditional mean squared error (MSE)–based measures of forecast accuracy often exhibit a weak or even negative correlation with the economic value of return forecasts measured by, for example, the Sharpe ratios of the resulting portfolios.
Lukas Salcher, Sebastian Stöckl, Michael Hanke   +2 more
wiley   +1 more source

Evaluating Forecasts at Multiple Horizons: An Extension of the Diebold–Mariano Approach

Journal of Forecasting, EarlyView.
ABSTRACT Forecast accuracy tests are fundamental tools for comparing competing predictive models. The widely used Diebold–Mariano (DM) test assesses whether differences in forecast errors are statistically significant. However, its standard form is limited to pairwise comparisons at a single forecast horizon.
Andrew Grant, Matus Mrazik, Steve Satchell   +2 more
wiley   +1 more source

Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks

Journal of Mathematics
In this paper, we obtain some inequalities involving positive semidefinite 2×2 block matrices and their blocks.
Feng Zhang, Rong Ma, Chunwen Zhang, Yuxin Cao   +3 more
doaj   +1 more source

Heinz均值凸性的一个注记(A note on the convexity of the Heinz means)

Zhejiang Daxue xuebao. Lixue ban, 2013
Recently, KITTANEH obtained an improvement of the Heinz inequality for all unitarily invariant norms. In this note, we obtain a refinement of KITTANEH's result. We shall conclude this paper with some numerical examples.
ZOULi-min(邹黎敏)
doaj   +1 more source