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Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Memory based learning methods and tools:
towards efficient modelling, predicting and
managing tasks in large scale soil spectral
libraries
Leonardo Ramirez-Lopez [1,2]*
Antoine Stevens [3]
December 2013 - Rome, Italy
[1] Swiss Federal Institute of Technology, Zürich (ETHz), Switzerland
[2] Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Switzerland
[3] Universite Catholique de Louvain, Belgium
* Leonardo.Ramirez@usys.ethz.ch
International Workshop
‘Soil Spectroscopy: the present and future of Soil Monitoring’
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil vis–NIR libraries
Field scale
Introduction MBL Case studies Tools Final remarks
R² = 0.91; RMSE=5.02%
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil vis–NIR libraries
Field scale Regional scale
Introduction MBL Case studies Tools Final remarks
R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03%
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil vis–NIR libraries
Field scale Regional scale Global scale
R² = 0.50; RMSE=15.53%R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03%
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil vis–NIR libraries
Field scale Regional scale Global scale
– +Data complexity
Degradation of the accuracy
Introduction MBL Case studies Tools Final remarks
R² = 0.50; RMSE=15.53%R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03%
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil vis–NIR libraries
Reported root mean square error (RMSE) of vis–NIR based predictions
against the standard deviation (of the soil attribute) in the calibration sets
Introduction MBL Case studies Tools Final remarks
Analysis based on:
Stenberg, B., Viscarra Rossel, R.A., Mouazen, A.M., Wetterlind, J. Visible and Near Infrared Spectroscopy in Soil Science.
In: Donald L. Sparks, Ed. Advances in Agronomy, Vol. 107, Burlington: Academic Press, 2010, pp. 163–215.
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
20 spectra sampled at random
Reflectancefactor
Reflectancefactor
Reflectancefactor
Field scale Regional scale Global scale
Why are big soil vis–NIR libraries so complex?
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
MBL is closely related to case based–reasoning (CBR) which
emulates the human reasoning process:
Memory–based learning (MBL)
1. Remember previous situations
2. Adapt them for solving the current problem
3. Examine the probability to solve the problem with the
new solution
4. Memorize the experience for improving knowledge
In contrast to other machine learning approaches, memory based
learners do not attempt to derive a general target function. Instead,
they offer instance-oriented solutions.
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil attribute with
unknown values
Soil spectral library
MBL for soil spectral libraries
p–dimensional spectra
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
d1
d1
d2
d3
d4
dp d2
d3
d4
dp
p–dimensional spectral feature space
Xr, Yr = {xr𝑗 , yr𝑗 }𝑗=1
𝑛
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
S(xui,xrj)
d2
d3
d4
dp
Xr, Yr = {xr𝑗 , yr𝑗 }𝑗=1
𝑛
d1
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
a. Sphere neighbors b. k-NNOR
d2
d3
d4
dp
d1
Sample neighbors
S(xui,xrj)
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Sample neighbors
d2
d3
d4
dn
d1
Get rid of unnecessary samples
S(xui,xrj)
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Noisy and/or non-informative
samples for f are ignored
f1
f2
f4
f5
f3
f6
f7
f8
f9
f10
f11
f12
yi = (x;θ)+ε
MBL
The solution to a complex task is constructed by
a collection of simple local functions
d2
d3
d4
dp
d1
𝑓𝑖
{𝑓1 , 𝑓2 , … , 𝑓𝑚}
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
d2
d3
d4
dp
d1
There are four basic aspects that must be defined for any MBL algorithm:
Introduction MBL Case studies Tools Final remarks
1. A similarity/dissimilarity metric
2. How to use the similarity/dissimilarity information
3. How many nearby neighbors to look at?
4. How to fit with the local points?
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
d2
d3
d4
dp
d1
There are four basic aspects that must be defined for any MBL algorithm:
Option 3: Source of additional predictors…
Local distance
matrix
Option 2: Use it for assigning weights
Introduction MBL Case studies Tools Final remarks
1. A similarity/dissimilarity metric
2. How to use the similarity/dissimilarity information
3. How many nearby neighbors to look at?
4. How to fit with the local points?
Option 1: Ignore it
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Target attribute:
o Clay content
Algorithms tested:
o Partial least squares (PLS)
o Support vector machines (SVM)
o Random forest
o PLS-neural netwroks (PLS-NN)
o Cubist
o LOCAL
o Modified LOCAL
o Spectrum-based learner (SBL)
o Improved SBL(iSBL)
Two (complex) soil vis-NIR libraries were used in order to test the performance
of various MBL algorithms
Memrory-based
learners
Introduction MBL Case studies Tools Final remarks
* Tóth, G., Jones, A., Montanarella, L. (eds.) 2013. LUCAS Topsoil Survey. Methodology, data and results. JRC Technical Reports. Luxembourg. Publications Office of
the European Union, EUR 26102 – Scientific and Technical Research series – ISSN 1831-9424 (online); ISBN 978-92-79-32542-7; doi: 10.2788/979224
** World Agroforestry Centre (ICRAF) and ISRIC – World Soil Information. 2010. ICRAF–ISRIC Soil vis–NIR spectral Library. Nairobi, Kenya: World Agroforestry Centre
(ICRAF).
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
RMSE R2
iSBL 4.88 0.87
LOCAL 5.00 0.86
SBL 5.09 0.86
mLOCAL 5.33 0.85
Cubist 5.72 0.82
pls-NN 7.43 0.70
svm 7.59 0.69
pls 7.65 0.68
Rf 8.61 0.59
Memrory-based
learners
Clay content prediction results
@ CONTINENTAL scale
Case 1
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
RMSE R2
iSBL 12.50 0.67
SBL 12.53 0.67
mLOCAL 12.68 0.67
Cubist 12.80 0.66
LOCAL 13.19 0.64
pls-NN 14.60 0.59
svm 14.69 0.55
Rf 15.38 0.50
pls 15.53 0.50
Memrory-based
learners
Clay content prediction results
@ GLOBAL scale
Case 2
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Shenk, J.S., Westerhaus, M.O., Berzaghi, P. 1997. Investigation of a LOCAL calibration procedure for near infrared instruments. Journal of Near
Infrared Spectroscopy 5, 223–232.
Naes, T., Isaksson, T., Kowalski, B. 1990. Locally weighted regression and scatter correction for nearinfrared reflectance data. Analytical
Chemistry 62, 664–673
Introduction MBL Case studies Tools Final remarks
Spectroscopy-oriented software for MBL
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Shenk, J.S., Westerhaus, M.O., Berzaghi, P. 1997. Investigation of a LOCAL calibration procedure for near infrared instruments. Journal of Near
Infrared Spectroscopy 5, 223–232.
Naes, T., Isaksson, T., Kowalski, B. 1990. Locally weighted regression and scatter correction for nearinfrared reflectance data. Analytical
Chemistry 62, 664–673
https://github.com/l-ramirez-lopez/resemble_v0.1
Download the first (development) version which is available at :
Introduction MBL Case studies Tools Final remarks
Spectroscopy-oriented software for MBL
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Introduction MBL Case studies Tools Final remarks
An adequate estimation and use of the soil
spectral similarity information may lead to
accurate soil vis–NIR predictions carried out by
using MBL.
The analysis of the soil similarity (e.g. spectral,
geographical, compositional, etc) should NOT
be neglected in the management and modelling
tasks involved in the use of any large scale SSL.
MBL offers a great opportunity to reduce the complexity
problems associated with soil spectral modelling in large
scale soil spectral libraries (SSL).
Try the ‘resemble’ package in your SSL!
You combine it with the ‘prospectr’ package for
spectral preprocessing and calibration sampling
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral librariesDecember 2013 - Rome, Italy
Grazie!
Memory based learning methods and tools: towards efficient modelling,
predicting and managing tasks in large scale soil spectral libraries
Leonardo Ramirez-Lopez [1,2]*; Antoine Stevens [3]
International Workshop
‘Soil Spectroscopy: the present and future of Soil Monitoring’
[1] Swiss Federal Institute of Technology, Zurich (ETHz), Switzerland
[2] Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Switzerland
[3] Universite Catholique de Louvain, Belgium
* Leonardo.Ramirez@usys.ethz.ch
We thank ICRAF and JRC form making the
Soil spectral libraries available
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil vis–NIR libraries
Field scale Regional scale Global scale
R² = 0.50; RMSE=15.53%R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03%
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Soil Kaolinite
Low K+ saturation
High K+ saturation
Kaolinite
Another example…
What makes big soil vis–NIR libraries so complex?
Introduction MBL Case studies Tools Final remarks
Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
Introduction MBL Case studies Tools Final remarks
The spectral similarity/dissimilarity methods employed in any MBL
algorithm should attempt to reflect the compositional
similarity/dissimilarity between soil samples.

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Memory based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries

  • 1. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Memory based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Leonardo Ramirez-Lopez [1,2]* Antoine Stevens [3] December 2013 - Rome, Italy [1] Swiss Federal Institute of Technology, Zürich (ETHz), Switzerland [2] Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Switzerland [3] Universite Catholique de Louvain, Belgium * Leonardo.Ramirez@usys.ethz.ch International Workshop ‘Soil Spectroscopy: the present and future of Soil Monitoring’
  • 2. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil vis–NIR libraries Field scale Introduction MBL Case studies Tools Final remarks R² = 0.91; RMSE=5.02%
  • 3. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil vis–NIR libraries Field scale Regional scale Introduction MBL Case studies Tools Final remarks R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03%
  • 4. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil vis–NIR libraries Field scale Regional scale Global scale R² = 0.50; RMSE=15.53%R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03% Introduction MBL Case studies Tools Final remarks
  • 5. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil vis–NIR libraries Field scale Regional scale Global scale – +Data complexity Degradation of the accuracy Introduction MBL Case studies Tools Final remarks R² = 0.50; RMSE=15.53%R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03%
  • 6. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil vis–NIR libraries Reported root mean square error (RMSE) of vis–NIR based predictions against the standard deviation (of the soil attribute) in the calibration sets Introduction MBL Case studies Tools Final remarks Analysis based on: Stenberg, B., Viscarra Rossel, R.A., Mouazen, A.M., Wetterlind, J. Visible and Near Infrared Spectroscopy in Soil Science. In: Donald L. Sparks, Ed. Advances in Agronomy, Vol. 107, Burlington: Academic Press, 2010, pp. 163–215.
  • 7. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries 20 spectra sampled at random Reflectancefactor Reflectancefactor Reflectancefactor Field scale Regional scale Global scale Why are big soil vis–NIR libraries so complex? Introduction MBL Case studies Tools Final remarks
  • 8. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries MBL is closely related to case based–reasoning (CBR) which emulates the human reasoning process: Memory–based learning (MBL) 1. Remember previous situations 2. Adapt them for solving the current problem 3. Examine the probability to solve the problem with the new solution 4. Memorize the experience for improving knowledge In contrast to other machine learning approaches, memory based learners do not attempt to derive a general target function. Instead, they offer instance-oriented solutions. Introduction MBL Case studies Tools Final remarks
  • 9. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil attribute with unknown values Soil spectral library MBL for soil spectral libraries p–dimensional spectra Introduction MBL Case studies Tools Final remarks
  • 10. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries d1 d1 d2 d3 d4 dp d2 d3 d4 dp p–dimensional spectral feature space Xr, Yr = {xr𝑗 , yr𝑗 }𝑗=1 𝑛 Introduction MBL Case studies Tools Final remarks
  • 11. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries S(xui,xrj) d2 d3 d4 dp Xr, Yr = {xr𝑗 , yr𝑗 }𝑗=1 𝑛 d1 Introduction MBL Case studies Tools Final remarks
  • 12. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries a. Sphere neighbors b. k-NNOR d2 d3 d4 dp d1 Sample neighbors S(xui,xrj) Introduction MBL Case studies Tools Final remarks
  • 13. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Sample neighbors d2 d3 d4 dn d1 Get rid of unnecessary samples S(xui,xrj) Introduction MBL Case studies Tools Final remarks
  • 14. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Noisy and/or non-informative samples for f are ignored f1 f2 f4 f5 f3 f6 f7 f8 f9 f10 f11 f12 yi = (x;θ)+ε MBL The solution to a complex task is constructed by a collection of simple local functions d2 d3 d4 dp d1 𝑓𝑖 {𝑓1 , 𝑓2 , … , 𝑓𝑚} Introduction MBL Case studies Tools Final remarks
  • 15. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries d2 d3 d4 dp d1 There are four basic aspects that must be defined for any MBL algorithm: Introduction MBL Case studies Tools Final remarks 1. A similarity/dissimilarity metric 2. How to use the similarity/dissimilarity information 3. How many nearby neighbors to look at? 4. How to fit with the local points?
  • 16. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries d2 d3 d4 dp d1 There are four basic aspects that must be defined for any MBL algorithm: Option 3: Source of additional predictors… Local distance matrix Option 2: Use it for assigning weights Introduction MBL Case studies Tools Final remarks 1. A similarity/dissimilarity metric 2. How to use the similarity/dissimilarity information 3. How many nearby neighbors to look at? 4. How to fit with the local points? Option 1: Ignore it
  • 17. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Target attribute: o Clay content Algorithms tested: o Partial least squares (PLS) o Support vector machines (SVM) o Random forest o PLS-neural netwroks (PLS-NN) o Cubist o LOCAL o Modified LOCAL o Spectrum-based learner (SBL) o Improved SBL(iSBL) Two (complex) soil vis-NIR libraries were used in order to test the performance of various MBL algorithms Memrory-based learners Introduction MBL Case studies Tools Final remarks * Tóth, G., Jones, A., Montanarella, L. (eds.) 2013. LUCAS Topsoil Survey. Methodology, data and results. JRC Technical Reports. Luxembourg. Publications Office of the European Union, EUR 26102 – Scientific and Technical Research series – ISSN 1831-9424 (online); ISBN 978-92-79-32542-7; doi: 10.2788/979224 ** World Agroforestry Centre (ICRAF) and ISRIC – World Soil Information. 2010. ICRAF–ISRIC Soil vis–NIR spectral Library. Nairobi, Kenya: World Agroforestry Centre (ICRAF).
  • 18. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries RMSE R2 iSBL 4.88 0.87 LOCAL 5.00 0.86 SBL 5.09 0.86 mLOCAL 5.33 0.85 Cubist 5.72 0.82 pls-NN 7.43 0.70 svm 7.59 0.69 pls 7.65 0.68 Rf 8.61 0.59 Memrory-based learners Clay content prediction results @ CONTINENTAL scale Case 1 Introduction MBL Case studies Tools Final remarks
  • 19. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries RMSE R2 iSBL 12.50 0.67 SBL 12.53 0.67 mLOCAL 12.68 0.67 Cubist 12.80 0.66 LOCAL 13.19 0.64 pls-NN 14.60 0.59 svm 14.69 0.55 Rf 15.38 0.50 pls 15.53 0.50 Memrory-based learners Clay content prediction results @ GLOBAL scale Case 2 Introduction MBL Case studies Tools Final remarks
  • 20. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Shenk, J.S., Westerhaus, M.O., Berzaghi, P. 1997. Investigation of a LOCAL calibration procedure for near infrared instruments. Journal of Near Infrared Spectroscopy 5, 223–232. Naes, T., Isaksson, T., Kowalski, B. 1990. Locally weighted regression and scatter correction for nearinfrared reflectance data. Analytical Chemistry 62, 664–673 Introduction MBL Case studies Tools Final remarks Spectroscopy-oriented software for MBL
  • 21. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Shenk, J.S., Westerhaus, M.O., Berzaghi, P. 1997. Investigation of a LOCAL calibration procedure for near infrared instruments. Journal of Near Infrared Spectroscopy 5, 223–232. Naes, T., Isaksson, T., Kowalski, B. 1990. Locally weighted regression and scatter correction for nearinfrared reflectance data. Analytical Chemistry 62, 664–673 https://github.com/l-ramirez-lopez/resemble_v0.1 Download the first (development) version which is available at : Introduction MBL Case studies Tools Final remarks Spectroscopy-oriented software for MBL
  • 22. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Introduction MBL Case studies Tools Final remarks An adequate estimation and use of the soil spectral similarity information may lead to accurate soil vis–NIR predictions carried out by using MBL. The analysis of the soil similarity (e.g. spectral, geographical, compositional, etc) should NOT be neglected in the management and modelling tasks involved in the use of any large scale SSL. MBL offers a great opportunity to reduce the complexity problems associated with soil spectral modelling in large scale soil spectral libraries (SSL). Try the ‘resemble’ package in your SSL! You combine it with the ‘prospectr’ package for spectral preprocessing and calibration sampling
  • 23. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral librariesDecember 2013 - Rome, Italy Grazie! Memory based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Leonardo Ramirez-Lopez [1,2]*; Antoine Stevens [3] International Workshop ‘Soil Spectroscopy: the present and future of Soil Monitoring’ [1] Swiss Federal Institute of Technology, Zurich (ETHz), Switzerland [2] Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Switzerland [3] Universite Catholique de Louvain, Belgium * Leonardo.Ramirez@usys.ethz.ch We thank ICRAF and JRC form making the Soil spectral libraries available
  • 24. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
  • 25. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries
  • 26. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil vis–NIR libraries Field scale Regional scale Global scale R² = 0.50; RMSE=15.53%R² = 0.91; RMSE=5.02% R² = 0.75; RMSE=8.03% Introduction MBL Case studies Tools Final remarks
  • 27. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Soil Kaolinite Low K+ saturation High K+ saturation Kaolinite Another example… What makes big soil vis–NIR libraries so complex? Introduction MBL Case studies Tools Final remarks
  • 28. Memory-based learning methods and tools: towards efficient modelling, predicting and managing tasks in large scale soil spectral libraries Introduction MBL Case studies Tools Final remarks The spectral similarity/dissimilarity methods employed in any MBL algorithm should attempt to reflect the compositional similarity/dissimilarity between soil samples.