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A Cartan-theoretic classification of multiply-transitive (2,3,5)-distributions
[article]
2022
arXiv
pre-print
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In his 1910 paper, Élie Cartan gave a tour-de-force solution to the (local) equivalence problem for generic rank 2 distributions on 5-manifolds, i.e. (2,3,5)-distributions. ...
real settings, phrased "Cartan-theoretically", and (ii) the full curvature and infinitesimal holonomy of all these models. ...
Sagerschnig, and Travis Willse. ...
arXiv:2205.03387v1
fatcat:mlqtk6pbojblvc3qayqq62ub4e
Interpolation-based irrational model control design and stability analysis
[article]
2020
arXiv
pre-print
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More specifically, the interpolatory framework is first used to approximate the irrational model by a rational one that can be used for model-based control, and secondly, it is used for direct data-driven ...
The versatility of data-driven approximation by interpolatory methods, originally settled for model approximation purpose, is illustrated in the context of linear controller design and stability analysis ...
and their conjugate are selected), rank(ziL − Ls) = rank([L Ls]) = rank([L T L T s ] T ) = r. (11) In that case, denoting Y ∈ C m×r and (resp. ...
arXiv:2012.01040v2
fatcat:i6wp5fynxvcbxevywm5ul7l5am
Π10 classes and orderable groups
2002
Annals of Pure and Applied Logic
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We show that the spaces of orders on orderable computable abelian and nilpotent groups cannot represent Π 0 1 classes in even a weak manner. ...
It is known that the spaces of orders on orderable computable fields can represent all Π 0 1 classes up to Turing degree. ...
point. ...
doi:10.1016/s0168-0072(01)00097-5
fatcat:axbvt77cyjddjgm5al55v4qnmi
Domain Adaptation for Robot Predictive Maintenance Systems
[article]
2020
arXiv
pre-print
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In this paper, we propose a novel solution based on transfer learning to pass the knowledge of the trained model from one operation to another in order to prevent the need for retraining and to eliminate ...
The deployment of the proposed unsupervised transfer learning algorithm on real-world datasets demonstrates that the algorithm can not only distinguish between operation and mechanical condition change ...
In this equation, X s R s and X t R t are the low rank embeddings of X s and X t , respectively, and R s and R t are their reconstruction coefficient matrices. ...
arXiv:1809.08626v3
fatcat:6ls5hqcf5zgd5g2yscrzrsq3f4
Stable Hybrid Feature Selection Method for Compressor Fault Diagnosis
2021
IEEE Access
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values for two data points, X and Y, and n is the dimension of the data points. ...
Once a new data point is given, the distance between the new data point and the close data points needs to be calculated, where the number of closest points (k) should be predetermined. ...
doi:10.1109/access.2021.3092884
fatcat:ckzvpi7gebf43am62glnokaf2u
A Novel Data-Driven Specific Emitter Identification Feature Based on Machine Cognition
2020
Electronics
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Numerous experimental results demonstrate that the MC-feature can greatly strengthen the slight intra-class difference in SEI and provides a possibility of interpretation of CNN. ...
Numerous two-dimensional features on transform domain, like various time-frequency representation and ambiguity function are used to augment information abundance, whereas the unacceptable computational ...
Frequency offset ν is usually set near zero in order to rank the points along the major direction of ambiguity function distribution. ...
doi:10.3390/electronics9081308
fatcat:ovruh6jzwndm3nx5463wm774yu
Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for C̃_2
[article]
2018
arXiv
pre-print
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Combined with existing results in the literature this completes the proof of Lusztig's conjectures for all rank 1 and 2 affine Weyl groups for all choices of parameters. ...
Our approach to computing Lusztig's a-function is based on the notion of a 'balanced system of cell representations'. Once this system is established roughly half of the conjectures P1- P15 follow. ...
The remaining representations (the "point masses") are taken to be in their own classes: Πj = {πj } for 4 ≤ j ≤ 12. ...
arXiv:1803.11067v2
fatcat:e4ads6ulwnadnk5f6jfhei4eka
Sharp IV Bounds on Average Treatment Effects on the Treated and Other Populations Under Endogeneity and Noncompliance
2015
Journal of applied econometrics
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In the presence of an endogenous binary treatment and a valid binary instrument, causal effects are (nonparametrically) point identified only for the subpopulation of compliers, given that the treatment ...
Therefore, we invoke treatment monotonicity and/or dominance assumptions on the mean potential outcomes across subpopulations to derive sharp bounds on the average treatment effects on the treated, who ...
For the compliers, the set is significantly positive (on a nominal level of 5%) and suggests that private schooling decreases the probability to repeat a class by 7 to 21 percentage points. ...
doi:10.1002/jae.2473
fatcat:gxbsf4jjfzbtjes73ljj7jdah4
Decomposing non-stationary signals with time-varying wave-shape functions
[article]
2021
arXiv
pre-print
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Comparison with existing solutions, including linear regression, recursive diffeomorphism-based regression and multiresolution mode decomposition, shows that our proposal can provide an accurate and meaningful ...
Modern time series are usually composed of multiple oscillatory components, with time-varying frequency and amplitude contaminated by noise. ...
) s 2 (t) = cos(φ 21 (t)) + with φ 21 (t) = 2π10t + 2π10t 2 . ...
arXiv:2010.07394v2
fatcat:bcept6dlbbduzb5nft4hpi3bwa
Neural dynamics of perceptual inference and its reversal during imagery
[article]
2019
bioRxiv
pre-print
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Specifically, we show that classification machine learning models trained on brain data at different time points during the early feedforward phase of perception are reactivated in reverse order during ...
In the second part of the paper, we report an 11Hz oscillatory pattern of feedforward and reversed visual processing phases during perception. ...
Next, they had to indicate their experienced imagery vividness by moving a bar on a continuous scale. ...
doi:10.1101/781294
fatcat:63shr642rvhddadzdlgnrijesq
The flavour of intermediate Ricci and homotopy when studying submanifolds of symmetric spaces
[article]
2020
arXiv
pre-print
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manifolds and using this information in order to determine how highly connected the embeddings are. ...
Using results by Guijarro–Wilhelm our approach partly generalizes recent work by Berndt–Olmos on the index conjecture. ...
quantities k P and C P are the respective ones from Table 3 for higher rank spaces and respectively 1 and (n − 9)/2 for the rank one spaces. ...
arXiv:2010.15742v1
fatcat:xg7vc334zjeepd3px3pg5gqzmy
Alertness, Leadership, and Nascent Market Dynamics
2015
Dynamic Games and Applications
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alertness on the entry sequence is less likely, and the value differential across firms decreases. ...
In a continuous-time model with uncertain market development, two potential entrants detect a nascent demand only if it reaches a threshold, which depends on nature, and can be firm-specific. ...
class of postinvestment instantaneous profit configurations. ...
doi:10.1007/s13235-015-0163-1
fatcat:wq5rw2zk2vhkllu5ywyhuhwfii
Predictive and Explanatory Models Might Miss Informative Features in Educational Data
2021
Zenodo
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We end by proposing recommendations that researchers should consider penalized regression for datasets on the order of hundreds of cases and should include more context about their data in publications ...
We find the algorithms treat features with the same odds ratios differently based on the features' imbalance and the outcome imbalance. ...
One interesting point to note is that we see some ranking issues based on imbalance. ...
doi:10.5281/zenodo.5806829
fatcat:hvtykcd3nrcvbazvflpaayfdhy
LU factorization with panel rank revealing pivoting and its communication avoiding version
[article]
2012
arXiv
pre-print
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CALU_PRRP is also more stable in practice and is resistant to pathological cases on which GEPP and CALU fail. ...
We present the LU decomposition with panel rank revealing pivoting (LU_PRRP), an LU factorization algorithm based on strong rank revealing QR panel factorization. ...
And the elimination of each column leads to a rank update of the trailing matrix larger than one. ...
arXiv:1208.2451v1
fatcat:4kr5ta3gofdudpucpjjx7tbxja
Dynamic reconstruction and data reconstruction for subsampled or irregularly sampled data
2017
Journal of Fluid Mechanics
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The methodology is demonstrated on three dynamical systems, a synthetic sinusoid, the cylinder wake at Reynolds number $Re=60$ and turbulent flow past the axisymmetric bullet-shaped body. ...
Subsequently, dynamical characteristics, such as frequencies and growth rates, are approximated by iteratively approximating the flow evolution by a low-order model and solving a certain convex optimisation ...
Acknowledgements The authors are grateful to George Papadakis and Liang Lu for sharing their nite volume solver. ...
doi:10.1017/jfm.2017.340
fatcat:ajhxh4w7irdq5mrwhq7til3oja
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