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Intelligent Matrix Exponentiation
[article]
2020
arXiv
pre-print
Preserved Fulltext
We present a novel machine learning architecture that uses the exponential of a single input-dependent matrix as its only nonlinearity. ...
Despite its simplicity, a single matrix exponential layer already provides universal approximation properties and can learn fundamental functions of the input, such as periodic functions or multivariate ...
Matrix Exponentiation The exponential of a square matrix M is defined as: exp(M ) = ∞ k=0 1 k! ...
arXiv:2008.03936v1
fatcat:dj63wv43kzbfvcwphjxarxbymu
The Vision of the Trigonometry in the Monitoring of the Dynamics Concerning the Artificial Intelligence Phenomenons, through Matrix Analysis
2020
Annals of Dunarea de Jos University. Fascicle I : Economics and Applied Informatics
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REVENUES
FROM THE
ARTIFICIAL
INTELLIGENCE
SOFTWARES
($ billions)
The matrix of the statistical indexesThe matrix of the angles expressed in degreesThe matrix of the angles expressed in radiansThe ...
Chips,
if the "profile" has as hypothesis an exponential tendency
YEARS
WORLDWIDE
REVENUES
FROM THE
ARTIFICIAL
INTELLIGENCE
CHIPS
($ billions) ( i)
EXPONENTIAL TENDENCY
i
lg ...
The configuration of the model concerning the values for the worldwide Artificial Intelligence funding start-up companies
Conclusions In 2020, the worldwide revenues from the Artificial Intelligence ...
doi:10.35219/eai15840409149
fatcat:zccas2irpzekhmep6seuzvkowe
The "Statistical Planet" of the Robots
2018
Annals of Dunarea de Jos University. Fascicle I : Economics and Applied Informatics
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The "statistical planet" of the robots knows continuous new sizes, owing to the permanent development of the robots world, especially as effect of the robots with artificial intelligence which impress ...
The sensation is created by the robots with artificial intelligence which conquer the hearts of the public, through a lot of quantitative and qualitative variables: size, aerodynamics motion, voice stamp ...
describes an exponential tendency YEARS
ROBOTS WITH
ARTIFICIAL
INTELLIGENCE
(billions USD)
Table 9 9 The "intelligence matrix" for the data of the i
characteristic regarding the worldwide ...
doaj:3eff4b8faa9a403195093c3a1de71419
fatcat:guvkmf27jrbkpdsh4qll4mnb3e
Design of Group Precoding for MU-MIMO Systems with Exponential Spatial Correlation Channel
2021
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems
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Simulation results also show that the performance of the proposed algorithms is significantly improved compared to the BD algorithm in an exponential spatial correlation channel. ...
In this paper, a low-complexity precoding algorithm is proposed to reduce the computational complexity and improve the performance for MU-MIMO systems under exponential spatial correlation channel conditions ...
EAI Endorsed Transactions on
Industrial Networks and Intelligent Systems
Online First
7
Design of Group Precoding for MU-MIMO Systems with Exponential Spatial Correlation Channel EAI Endorsed ...
doi:10.4108/eai.26-1-2021.168228
fatcat:orrupuz4vjawzjx2t5tyg6jqxa
A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time-Varying Delay Based on Gronwall's Inequality
2021
Computational Intelligence and Neuroscience
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In this paper, we study the problem of exponential stability for the Hopfield neural network with time-varying delays. ...
Computational Intelligence and Neuroscience Example 2. ...
According to the criterion of exponential stability obtained in paper [30] , it is necessary to find some symmetric matrices that meet the specified matrix inequalities. ...
doi:10.1155/2021/4713450
pmid:34552626
pmcid:PMC8452427
fatcat:s3imr2nreratbp5dfft4fv6ibq
Stability Coefficients in Longitudinal Studies
1993
Applied Psychological Measurement
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Longitudinal studies of personality traits and intelligence have used an exponential function to relate the magnitudes of the correlations between occasions to the time interval. ...
This exponential function is shown to be equivalent to a quasisimplex model of a stationary process with constant reliability. ...
Stability Coefficients in Longitudinal Studies Joseph Levin Tel-Aviv University Longitudinal studies of personality traits and intelligence have used an exponential function to relate the magnitudes of ...
doi:10.1177/014662169301700104
fatcat:jv5diewjbfarrejzrktekdsfva
Aircraft Combat Survivability Calculation Based on Combination Weighting and Multiattribute Intelligent Grey Target Decision Model
2016
Mathematical Problems in Engineering
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Then a multiattribute intelligent grey target decision model is introduced. ...
Finally, utilize the multiattribute intelligent grey target decision model to assess the aircraft combat survivability of aircraft, verified by a practical case of five aircraft. ...
The exponential scale is shown in Table 3 . ...
doi:10.1155/2016/8934749
fatcat:7d5pf2dwpbhvhoqj7zb2udm7ya
Page 2193 of Mathematical Reviews Vol. , Issue 2000c
[page]
2000
Mathematical Reviews
Preserved Fulltext
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2193 68T Artificial intelligence
of noise). ...
(English summary)
Artificial intelligence and mathematics, VIII (Fort Lauderdale,
FL, 1998).
Ann. Math. Artificial Intelligence 24 (1998), no. 1-4, 129-153
(1999). ...
Quantum Divide-and-Conquer Anchoring for Separable Non-negative Matrix Factorization
2018
Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence
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In the divide step, the random projections in DCA is completed by a quantum algorithm for linear operations, which achieves the exponential speedup. ...
It is NP-complete to find non-negative factors W and H with fixed rank r from a non-negative matrix X by minimizing ||X-WH^Τ ||^2. ...
Joint Conference on Artificial Intelligence ...
doi:10.24963/ijcai.2018/289
dblp:conf/ijcai/DuLLDT18
fatcat:kxv7bknh5fhshcfcw3noh7lr7q
Causal Inference with Noisy and Missing Covariates via Matrix Factorization
[article]
2018
arXiv
pre-print
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We bound the error for the induced average treatment effect estimator and show it is consistent in a linear regression setting, using Exponential Family Matrix Completion preprocessing. ...
We propose the use of matrix factorization to infer the confounders from noisy covariates, a flexible and principled framework that adapts to missing values, accommodates a wide variety of data types, ...
Lemma 5 . 5 Suppose the resulting estimator from Exponential Family Matrix Completion (2) has singular value decompositionΘ =ÛΣV . ...
arXiv:1806.00811v1
fatcat:klh2usr3sfehfdx4ymg4jsicii
Tracking Controller Using Normalized Quasi-velocities
2006
Journal of Intelligent and Robotic Systems
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The presented controller in terms of NQV is exponentially convergent. Moreover, some geometrical interpretation of the normalized quasi-variables based on Riemannian geometry is given. ...
We show that the proposed controller guarantees exponential convergence both quasi-velocities error and its time integral. ...
all joint axes P ∈ R 6N ×6N articulated inertia matrix D = H PH T ∈ R N ×N articulated inertia about joint axes, a diagonal matrix D = D(θ) C ν (θ, ν) = m −1 (θ)C(θ,θ) −ṁ T (θ)θ ∈ R N vector of Coriolis ...
doi:10.1007/s10846-006-9073-1
fatcat:fhsl7wka5zfgfg443jhd6mao5a
The "Statistical Propulsions" Concerning the Businesses Focused on the Luxury Cars and the Light Vehicles
2018
Annals of Dunarea de Jos University. Fascicle I : Economics and Applied Informatics
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8 The "intelligence matrix" for the data of the variable, if the shopping of light vehicles in the United States describes an exponential trajectory YEARS
LIGHT
VEHICLES
UNITED
STATES
(thousands ...
matrix" for the data of the variable, if the international businesses, concerning the luxury cars, exhibit an exponential trajectory YEARS
THE GLOBAL
INTERNATIONAL
SIZE
OF THE
BUSINESSES
CONCERNING ...
Conclusions The values of the worldwide sales concerning the luxury cars, between 2010-2016, follow a trajectory which "sketchs" an exponential equation. ...
doaj:f241f53ab5324ad78cf704fc5800a11a
fatcat:aoq4mrc2jffxhlx6sc7iug6sby
Active Controller Design for the Hybrid Synchronization of Hyperchaotic Zheng and Hyperchaotic Yu Systems
2013
International Journal on Soft Computing Artificial Intelligence and Applications
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method, we consider a candidate Lyapunov function ( ) , T V e e Pe = (6) where P is a positive definite matrix. ...
Yu system (31) for all initial conditions 4
International Journal on Soft Computing, Artificial Intelligence and Applications (IJSCAI), Vol.2, No.2, April 2013 ...
doi:10.5121/ijscai.2013.2202
fatcat:anc7edl66jhbfgie2ggjyh3maa
Interpolated Rigid-Body Motions and Robotics
2006
2006 IEEE/RSJ International Conference on Intelligent Robots and Systems
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Exponential of a matrix is given by the standard formula, e S = I + S + 1 2! S 2 + 1 3! S 3 + · · · IROS Beijing 2006 -p.5/22
Product of Exponentials (cont.) ...
IROS Beijing 2006 -p.4/22
Product of Exponentials Kinematics of serial robot can be written as product of exponentials. ...
doi:10.1109/iros.2006.281815
dblp:conf/iros/SeligW06
fatcat:dlybe7k6e5eatobu7ecghx7ikq
The Comparison Between Gumbel and Exponentiated Gumbel Distributions and Their Applications in Hydrological Process
2021
Advances in Machine Learning & Artificial Intelligence
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The results also confirmed the suitability of the Exponentiated Gumbel distribution for real data collection. ...
In the end, two applications of the gumbel and exponentiated gumbel distribution have been discussed with two real lifetime data sets. ...
information matrix i.e. ...
doi:10.33140/amlai.02.01.08
fatcat:opq7xycug5cv3hg6kzex5gjdci
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