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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Simultaneous Optimal Transport
优化运输 矢量值度量 Wasserstein距离概念
2023/4/14
We propose a general framework of mass transport between vector-valued measures, which will be called simultaneous mass transport. The new framework is motivated by the need to transport resources of ...
ON SIMULTANEOUS LINEARIZATION OF DIFFEOMORPHISMS OF THE SPHERE
DIFFEOMORPHISMS SIMULTANEOUS LINEARIZATION
2015/9/29
Let R1, R2 . . . Rm be rotations generating SOd+1, d ≥
2, and f1, f2 . . . fm be their small smooth perturbations. We show
that {fα} can be simultaneously linearized if and only if the assocated ran...
Selection and Estimation for Large-Scale Simultaneous Inference
Large-Scale Simultaneous Inference Selection
2015/8/20
Modern scientific technology is providing a new class of simultaneous inference
problems for the applied statistician, where there are hundreds or thousands or even
more hypothesis tests to co...
Large-Scale Simultaneous Hypothesis Testing: The Choice of a Null Hypothesis
Null Hypothesis Simultaneous Hypothesis Testing
2015/8/20
Current scientific techniques in genomics and image processing routinely produce hypothesis testing problems with hundreds or thousands of cases to consider simultaneously.
This poses new di...
Simultaneous Inference: When Should Hypothesis Testing Problems Be Combined?
Simultaneous Inference Testing Problems
2015/8/20
Modern statisticians are often presented with hundreds or thousands of hypothesis
testing problems to evaluate at the same time, generated from new scientific technologies such as microarrays, ...
Step-up Simultaneous Tests for Identifying Active Effects in Orthogonal Saturated Designs
Identifying Active Effects Orthogonal Saturated Designs
2015/3/18
A sequence of null hypotheses regarding the number of negligible
effects (zero effects) in orthogonal saturated designs is formulated. Two
step-up simultaneous testing procedures are proposed to ide...
Simultaneous Sequential Detection of Multiple Interacting Faults
Simultaneous Sequential Multiple Interacting Faults
2011/1/18
Single fault sequential change point problems have become important in modeling for various
phenomena in large distributed systems, such as sensor networks. But such systems in many situations presen...
Simultaneous Sequential Detection of Multiple Interacting Faults
Simultaneous Sequential Detection Multiple Interacting Faults
2011/1/4
Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations present...
Simultaneous Bisections of Measures by Orthogonal Hyperplanes
Simultaneous Bisections Orthogonal Hyperplanes
2010/11/15
Given [n/d] finite Borel measures on R^n, d = 1, 2, 4, or 8, it is shown that there exist d mutually orthogonal hyperplanes which bisect each measure, corresponding to the classical algebras R, C, H,...
Minimum description length methods of medium-scale simultaneous inference
Minimum description length methods medium-scale simultaneous inference
2010/12/16
Nonparametric statistical methods developed for analyzing data for high numbers of genes, SNPs, or other biological features tend to overfit data with smaller numbers of features such as proteins, met...
Robust Simultaneous Localization of Nodes and Targets in Sensor Networks Using Range-Only Measurements
Robust Simultaneous Localization of Nodes Targets in Sensor Networks
2010/12/6
Simultaneous localization and tracking (SLAT) in sensor networks aims to determine the positions of sensor nodes and a moving target in a network, given incomplete and inaccurate range measurements be...
Let A {1, . . . ,N} and P1, . . . , Pℓ 2 Z[n] with Pi(0) = 0 and deg Pi = k for every 1 i ℓ.We show, using Fourier analytic techniques, that for every ε > 0, there necessarily exists...
Exponents for three-dimensional simultaneous Diophantine approximations
three-dimensional simultaneous Diophantine approximations
2010/11/30
Let = (1, 2, 3) ∈ R3. Suppose that 1, 1, 2, 3 are linearly independent over Z.
Simultaneous Embeddings of Finite Dimensional Division Algebras
Simultaneous Embeddings Finite Dimensional Division Algebras
2010/12/1
A celebrated theorem of P.M. Cohn [C] says that for any two division rings (not necessarily finite dimensional) over a field F, their amalgamated product over F is a domain which can be embedded in a ...
A Simultaneous System of Functional Inequalities and Mappings which are Weakly of a Constant Sign
Linear functional inequalities Kronecker's theorem Mappings of weakly constant sign
2008/7/3
A Simultaneous System of Functional Inequalities and Mappings which are Weakly of a Constant Sign.