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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Balanced Boolean Functions with Good Autocorrelation Spectra and Their Applications
自相关谱 平衡 布尔函数
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2023/4/26
In this talk we consider the maximum absolute value in the autocorrelation spectrum (not considering the zero point) of balanced Boolean function. The long-standing open question in this area is to ob...
Balanced Incomplete Latin Square Designs
Balanced incomplete Latin square information matrix optimality orthogonal Latin square
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2016/1/20
Latin squares have been widely used to design an experiment where the blocking factors and treatment factors are of the same levels. For some experiments, the size of blocks may be less than the numbe...
Combinatorics of balanced carries
Carries Markov chain Foulkes character Eulerian idempotent Determinantal process
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2015/7/7
We study the combinatorics of addition using balanced digits, deriving an analog of Holte’s “amazing matrix” for carries in usual addition. The eigenvalues of this matrix for base b balanced addition ...
Error Bounds for Balanced Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
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2015/6/19
Error-bounds are developed for balanced truncation of linear time-varying systems, leading to an extension of the `twice the sum of the tail' formulae, well-known in the time-invariant case. The appro...
A Subspace Approach to Balanced Truncation for Model Reduction of Nonlinear Control Systems
Model Reduction Balanced Truncation
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2015/6/19
In this paper we introduce a new method of model reduction for nonlinear control systems. Our approach is to construct an approximately balanced realization. The method requires only standard matrix c...
Effects of vegetation structure on biomass accumulation in a Balanced Optimality Structure Vegetation Model (BOSVM v1.0)
Balanced Optimality Structure Vegetation Model vegetation structure
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2014/12/18
A myriad of interactions exist between vegetation
and local climate for arid and semi-arid regions. Vegetation
function, structure and individual behavior have large impacts on carbon–water–energy b...
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
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2012/6/14
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
Detection Performance in Balanced Binary Relay Trees with Node and Link Failures
Detection Performance Balanced Binary Relay Trees Node and Link Failures Information Theory
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2012/6/14
We study the distributed detection problem in the context of a balanced binary relay tree, where the leaves of the tree are sensors generating binary messages. The root of the tree is a fusion center ...
Nonnormal amplification in random balanced neuronal networks
Nonnormal amplification random balanced neuronal networks Neurons and Cognition
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2012/4/28
In dynamical models of cortical networks, the recurrent connectivity can amplify the input given to the network in two distinct ways. One is induced by the presence of near-critical eigenvalues in the...
Intervals of balanced binary trees in the Tamari lattice
balanced binary tree Tamari lattice poset grammar generating series fixed-point functional equation
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2011/9/14
Abstract: We show that the set of balanced binary trees is closed by interval in the Tamari lattice. We establish that the intervals [T, T'] where T and T' are balanced binary trees are isomorphic as ...
Robust network community detection using balanced propagation
community detection propagation
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2011/9/6
Label propagation has proven to be an extremely fast method for detecting communities in large complex networks. Furthermore, due to its simplicity, it is also currently one of the most commonly adopt...
Distance-balanced closure of some graphs
Distances in graphs distance-balanced graphs distance-balanced closure
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2011/2/22
In this paper we prove that any distance-balanced graph G with (G) |V (G)| − 3 is regular. Also we define notion of distance-balanced closure of a graph and we find distance-
balanced closur...
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
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2011/2/21
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Balanced realizations of discrete-time stable all-pass systems tangential Schur algorithm
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2011/2/21
In this paper, the connections are investigated between two different approaches towards
the parametrization of multivariable stable all-pass systems in discrete-time. The first approach involves the...
On Balanced Separators, Treewidth, and Cycle Rank
vertex separator treewidth pathwidth bandwidth cycle rank ordered coloring
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2011/3/2
We investigate relations between di erent width parameters of graphs, in particular balanced sepa-rator number, treewidth, and cycle rank.