Class information for:
Level 1: LINEAR RECURSION EQUATION//OPTIMAL INTERPOLATING SPLINES//OPTIMAL SMOOTHING SPLINES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
36225 84 18.2 29%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2139 2             DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY 5047
36225 1                   LINEAR RECURSION EQUATION//OPTIMAL INTERPOLATING SPLINES//OPTIMAL SMOOTHING SPLINES 84

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 LINEAR RECURSION EQUATION authKW 727039 2% 100% 2
2 OPTIMAL INTERPOLATING SPLINES authKW 727039 2% 100% 2
3 OPTIMAL SMOOTHING SPLINES authKW 727039 2% 100% 2
4 ADEPT ONE ROBOTIC SYSTEM authKW 363520 1% 100% 1
5 ADMISSIBLE ESTIMATES OF PROBABILITY DENSITY authKW 363520 1% 100% 1
6 ANALOG LINEAR FILTERS authKW 363520 1% 100% 1
7 BAYESIAN FUNCTION LEARNING authKW 363520 1% 100% 1
8 CONTROL THEORETIC SPLINES authKW 363520 1% 100% 1
9 DIFFERENTIAL INPUT OUTPUT RELATION authKW 363520 1% 100% 1
10 DISCRETE LINEAR CONTROL authKW 363520 1% 100% 1

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Automation & Control Systems 4254 46% 0% 39
2 Mathematics, Applied 536 32% 0% 27
3 Engineering, Electrical & Electronic 217 31% 0% 26
4 Robotics 123 4% 0% 3
5 Mathematics 76 14% 0% 12
6 Computer Science, Cybernetics 51 2% 0% 2
7 Computer Science, Artificial Intelligence 36 6% 0% 5
8 Computer Science, Theory & Methods 31 6% 0% 5
9 Physics, Mathematical 9 4% 0% 3
10 Engineering, Aerospace 3 1% 0% 1

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 OIP SYST DEV 1 363520 1% 100% 1
2 CONTROL SYST THEORY GRP 181759 1% 50% 1
3 COMP SOFTWARE 2 121172 1% 33% 1
4 COMP SOFTWARE OPERAT UNIT 121172 1% 33% 1
5 SYST MANAGEMENT 18880 2% 3% 2
6 OPTIMIZAT SYST THEORY 14987 2% 2% 2
7 DIPARTIMENTO TECN GEST SISTEMI IND 4486 1% 1% 1
8 INTELLIGENT MECH SYST ENGN 2595 1% 1% 1
9 DIPARTIMENTO INFORMAT SISTEMIST 2314 4% 0% 3
10 MATH STAT 1884 23% 0% 19

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 AUTOMATICA 6692 14% 0% 12
2 MATHEMATICAL MODELLING AND ANALYSIS 3185 2% 0% 2
3 INTERNATIONAL JOURNAL OF CONTROL 2753 8% 0% 7
4 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2124 10% 0% 8
5 SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES 2087 1% 1% 1
6 SCIENTIA SINICA 1798 1% 0% 1
7 INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL 1272 4% 0% 3
8 MATHEMATICAL SYSTEMS THEORY 1130 1% 0% 1
9 JOURNAL OF THE NATIONAL SCIENCE FOUNDATION OF SRI LANKA 1083 1% 0% 1
10 APPLIED MATHEMATICS AND COMPUTATION 1012 8% 0% 7

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 LINEAR RECURSION EQUATION 727039 2% 100% 2 Search LINEAR+RECURSION+EQUATION Search LINEAR+RECURSION+EQUATION
2 OPTIMAL INTERPOLATING SPLINES 727039 2% 100% 2 Search OPTIMAL+INTERPOLATING+SPLINES Search OPTIMAL+INTERPOLATING+SPLINES
3 OPTIMAL SMOOTHING SPLINES 727039 2% 100% 2 Search OPTIMAL+SMOOTHING+SPLINES Search OPTIMAL+SMOOTHING+SPLINES
4 ADEPT ONE ROBOTIC SYSTEM 363520 1% 100% 1 Search ADEPT+ONE+ROBOTIC+SYSTEM Search ADEPT+ONE+ROBOTIC+SYSTEM
5 ADMISSIBLE ESTIMATES OF PROBABILITY DENSITY 363520 1% 100% 1 Search ADMISSIBLE+ESTIMATES+OF+PROBABILITY+DENSITY Search ADMISSIBLE+ESTIMATES+OF+PROBABILITY+DENSITY
6 ANALOG LINEAR FILTERS 363520 1% 100% 1 Search ANALOG+LINEAR+FILTERS Search ANALOG+LINEAR+FILTERS
7 BAYESIAN FUNCTION LEARNING 363520 1% 100% 1 Search BAYESIAN+FUNCTION+LEARNING Search BAYESIAN+FUNCTION+LEARNING
8 CONTROL THEORETIC SPLINES 363520 1% 100% 1 Search CONTROL+THEORETIC+SPLINES Search CONTROL+THEORETIC+SPLINES
9 DIFFERENTIAL INPUT OUTPUT RELATION 363520 1% 100% 1 Search DIFFERENTIAL+INPUT+OUTPUT+RELATION Search DIFFERENTIAL+INPUT+OUTPUT+RELATION
10 DISCRETE LINEAR CONTROL 363520 1% 100% 1 Search DISCRETE+LINEAR+CONTROL Search DISCRETE+LINEAR+CONTROL

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 JONSSON, U , MARTIN, C , (2007) APPROXIMATION WITH THE OUTPUT OF LINEAR CONTROL SYSTEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 329. ISSUE 2. P. 798-821 10 91% 1
2 FUJIOKA, H , MARTIN, CF , KANO, H , (2011) OPTIMAL SMOOTHING AND INTERPOLATING SPLINES WITH CONSTRAINTS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 5. P. 1831 -1844 8 100% 7
3 KANO, H , NAKATA, H , MARTIN, CF , (2005) OPTIMAL CURVE FITTING AND SMOOTHING USING NORMALIZED UNIFORM B-SPLINES: A TOOL FOR STUDYING COMPLEX SYSTEMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 169. ISSUE 1. P. 96-128 6 86% 44
4 FUJIOKA, H , KANO, H , EGERSTEDT, M , MARTIN, CF , (2005) SMOOTHING SPLINE CURVES AND SURFACES FOR SAMPLED DATA.INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL. VOL. 1. ISSUE 3. P. 429-449 6 75% 4
5 FUJIOKA, H , KANO, H , (2009) PERIODIC SMOOTHING SPLINE SURFACE AND ITS APPLICATION TO DYNAMIC CONTOUR MODELING OF WET MATERIAL OBJECTS.IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS. VOL. 39. ISSUE 1. P. 251-261 10 40% 2
6 GIRARD, A , (2006) TOWARDS A MULTIRESOLUTION APPROACH TO LINEAR CONTROL.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 51. ISSUE 8. P. 1261-1270 5 83% 3
7 FUJIOKA, H , KANO, H , NAKATA, H , SHINODA, H , (2006) CONSTRUCTING AND RECONSTRUCTING CHARACTERS, WORDS, AND SENTENCES BY SYNTHESIZING WRITING MOTIONS.IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS. VOL. 36. ISSUE 4. P. 661-670 7 58% 2
8 RUSSELL, DL , (2006) FORWARD STABILIZED SPLINE INTERPOLATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 45. ISSUE 4. P. 1314 -1328 4 100% 0
9 PILLONETTO, G , (2008) SOLUTIONS OF NONLINEAR CONTROL AND ESTIMATION PROBLEMS IN REPRODUCING KERNEL HILBERT SPACES: EXISTENCE AND NUMERICAL DETERMINATION.AUTOMATICA. VOL. 44. ISSUE 8. P. 2135 -2141 6 60% 1
10 SHAPIRO, JH , (2008) ON THE OUTPUTS OF LINEAR CONTROL SYSTEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 340. ISSUE 1. P. 116-125 3 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 21213 SMOOTHING SPLINES//GENERALIZED CROSS VALIDATION//SMOOTHING PARAMETER
2 16784 TRAJECTORY PLANNING//MAXIMUM PAYLOAD//DLCC
3 33066 REGIONAL OBSERVABILITY//A S UFR//MACS GRP
4 23472 FINITE HORIZON LQ PROBLEM//DISCRETE TIME ALGEBRAIC RICCATI EQUATION//UNMIXED SOLUTIONS
5 37257 THEMOMECHANICAL TREATMENT//ELECTROSLAG REFINING//0 CENTER DOT 3C CRMOVESR STEEL
6 31391 ROLLER CHAIN//SYNCHRONOUS BELTS//POLYGON EFFECT
7 28893 COMPOUND IMAGE COMPRESSION//DOCUMENT IMAGE COMPRESSION//DICTIONARY BASED CODING
8 18219 MULTISENSOR INFORMATION FUSION//OUT OF SEQUENCE MEASUREMENTS//UNCERTAIN NOISE VARIANCE
9 16765 NON PHOTOREALISTIC RENDERING//PAINTERLY RENDERING//VECTOR GRAPHICS
10 6227 RATIONAL SPLINE//SHAPE PRESERVATION//COMPUTER AIDED GEOMETRIC DESIGN

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