ThRee-way methods
In Chemistry And Psychology


The third TRICAP (ThRee-way methods In Chemistry and Psychology, formerly TRIC) meeting took place at Hvedholm Castle in the middle of Denmark. The TRICAP meetings focus on methods for analyzing 3- and higher order data tables originating mainly from chemical and psychological sciences. 
Goal of the Meeting Call for papers Location and Travel
Conference lodging Conference fee & Registration Deadlines
Sponsors  Organizing Committee Contact for More Information
Conference agenda List of registered participants Lists of abstracts
Pictures from the conference

Goal of the Meeting

As the other TRICAP meetings, TRICAP 2000 brought together top-level researchers from the fields of chemometrics and psychometrics. Other disciplines that develop and conduct research in multi-way data analysis are also invited. The goal is to provide a relaxed atmosphere for the participants to allow for free exchange of ideas. It is not a forum for users or practitioners, but the TRICAP meeting is intended to provide an intimate atmosphere for the researchers to communicate, solve common problems and gain inspiration to initiate new projects. The conference was designed to maintain a leisurely pace with plenty of time for presentation of ideas and discussion.

Call for Papers

Authors were asked to submit one (A4) page with an abstract of their proposed talk to the conference chair. See lists of abstracts here.

Location and Travel

TRICAP 2000 was held at Hvedholm Castle at the south-west of the large island, Funen. Funen is located in the middle of the Danish Kingdom as seen on this map. The island Funen is located in the middle of Denmark and this is where the city Odense of Hans Christian Andersen is also found. Denmark being the oldest existing kingdom in the world is a small Scandinavian country with rich opportunities for those interested in culture, art, history, nature etc. 
The castle Hvedholm has belonged to the same family from the time when Funen was an independent kingdom and up to our century. The building dates back to 1570, but was rebuilt in its present majestic style around 1880 by count Bille Brahe Selby. With 5,000 m2 the castle is one of Denmark’s largest. The 10 ha park has a few old plane trees mentioned in some of Hans Christian Andersen’s fairy tales. There is a magnificent view to the Funen Archipelago. The castle islocated five kilometers outside the small city Faaborg. Hvedholm Castle viewed from the park
The nearest international airport is Copenhagen Airport (Kastrup Lufthavn) just outside Copenhagen 180 km from Hvedholm Castle. It is easy to drive by car from the airport (approx. 2 hours) to the Castle in Faaborg. Another possibility is to take the train from the airport (approx. 2.5 hours), where you will have to change train in Odense. You can plan train-traveling at the Danish National Railroads, DSB . If you have problems figuring out how to get to Hvedholm Castle in Faaborg, please contact the TRICAP conference secretariat.

Shuttle service will be provided from Faaborg Station and Odense Station to Hvedholm Castle on Sunday, July 16, and for the return trips on Friday, July 21. We need people to inform the TRICAP conference secretariat of their arrival at any of the two pick-up points. Make sure to get a confirmation.

Conference Fee & Registration

You can calculate the total registration fee from the table below. 
Expense Amount Specification
Scientific person,
early registration
6000 DKK Single room, breakfast, lunch, dinner, in-betweens and the social event.
Accompanying person 4200 DKK Includes additional bed (cannot guarantee double beds) for the conference period, breakfast, lunch, dinner and the social event. 
Late registration fee 1500 DKK/person To be paid per late registered person (later than June 1, 2000)
(100 DKK equals approx. : 14.12 USD / 13.46 EUR / 8.58 GBP / 26.32 NLG )
Two steps are required to register successfully:
  1. Transfer the full registration fee in Danish kroner, DKK, to:
The Danish National Bank
Havnegade 5 
1093 Copenhagen K
Registration #: 1005
Account #: 8016-9
Important: With the transfer you have to:

1. Add the code
"TRICAP/310-9750-838-792", and

2. Add your full name

  1. Print out the registration form (PDF-file / PostScript-file / Word-file) and fill it in with capital letters. Next, fax it to us at +45 35 28 32 65. Keep the original filled-in registration form in case of problems.
If you have questions to payment or travel, you can contact the the TRICAP conference secretariat. Check the list of registered participants here (please give us a couple of weeks to receive your payment).

Conference Facilities and Lodging

The hotel has 120 beds in 7 suites, 23 rooms with canopy beds, 11 standard rooms and 4 "hikers’ rooms". The a la carte restaurant, specializing in fish and game, is among the region’s leading. The banqueting hall from 1880 takes 150 covers. The "Mirror Salon" from 1750 takes 110 covers, and annexing small salons are used for coffee, etc. The castle has 7 conference rooms. Wine cellar and shop are open Saturdays from 12 noon – 4 p.m. Nearby facilities/activities: Faaborg with maritime and picturesque environment, golf and beach. The rooms are offered in the period of Sunday 16th (after 13.00 o'clock) to Friday 21st (until 11 o'clock).

In case you wish to arrive earlier or postpone departure beyond the conference period, you can contact the international reception at Hvedholm Castle, Tel +45 63 60 10 20, Fax +45 63 60 10 29. Remember to say that you will participate in the TRICAP conference.

An overhead projector will be provided. Inform the TRICAP conference secretariat if further presentation equipment is needed.

Conference Agenda

Conference lectures will be given in the Hall of Knights. Coffee breaks and informal meetings will be held in the Hall of Mirrors. Room 101 will be the conference secretariat and late-night meeting room. Ample opportunity will be given for informal meetings. 
Conference schedule 
Sunday, July 16
 9:00-18:00 Shuttles from Odense Station
16:00-      Registration and reception at Hvedholm Castle
Monday, July 17 (multi-way)
 7:30- 9:00 Breakfast
 9:00- 9:15 Welcome and Introductions
 9:15-10:00 PARAFAC and NIR curve resolution
            Paul Geladi; Peter Åberg & Jennie Forsström
10:00-10:45 Calculation of band boundaries of feasible solutions obtained 
            by three-way multivariate curve resolution of non-trilinear data
            Roma Tauler
10:45-11:15 Break
11:15-12:00 Independent Component Analysis: an Introduction
            Lieven de Lathauwer, Bart de Moor, Joos and Vandewalle
12:00-12:30 Discussion
12:30-13:30 Lunch
13:30-14:15 New algorithms for multi-way data analysis
            Agnar Höskuldsson
14:15-15:00 On the Uniqueness of Low-Rank Decomposition of N-way Arrays
            Nicholaos Sidiropoulos and Rasmus Bro
15:00-15:30 Break
15:30-16:15 To Preprocess or not to preprocess, is that the question? 
            Henk A. L. Kiers
16:15-17:00 Discussion
19:00-      Dinner
Tuesday, July 18 (time data and preprocess)
 7:30- 9:00 Breakfast
 9:00- 9:45 Shifted Factor Analysis: Algorithms and applications
            Sungjin Hong and Richard A. Harshman
 9:45-10:30 (Un)constrained Component models for longitudinal three-way data 
            Marieke Timmerman and Henk A. L. Kiers
10:30-11:00 Break
11:00-11:45 Talk withdrawn
11:45-12:15 Discussion
12:15-13:15 Lunch
13.15-18:00 Bus to the Castle Egeskov
19:00-      Dinner
Wednesday, July 19 (math and classification)
 7:00- 8:30 Breakfast
 8:00- 9:45 Transformations to simplicity for complementary three-way arrays 
            Roberto Rocci and Jos M.F. ten Berge
 9:45-10:30 Kronecker Canonical Forms and the IxJx2 Trilinear Model 
            William S. Rayens and Ren-Cang Li
10:30-11:00 Break
11:00-11:45 Classification of three-way data  
            Maurizio Vichi
11:45-12:30 Discussion
12:30-13:30 Lunch
13:30-14:15 Linear and Boolean Three-Way Methods: A Comparison
            Iven Van Mechelen, Eva Ceulemans & Iwin Leenen
14:15-15:00 Tucker Hierarchical Classes Analysis  
            Eva Ceulemans and Eva van Mechelen 
15:00-15:30 Break
15:30-16:15 A clustering approach to analyse several data sets 
            El Mostafa Qannari and Evelyne Vigneau
16:15-17:00 Discussion
19:00-      Conference Dinner
Thursday, July 20 (process and multi-block)
 7:00- 9:00 Breakfast
 9:00- 9:45 Multivariate Statistical Analysis of  Process Start-Ups and Grade Transitions for Multi-Product Plants 
            Carl Duchesne, Theodora* Kourti, and John F. MacGregor
 9:45-10:30 A Comparison of Factor Based Methods for Endpoint Detection in Semiconductor Etch 
            Neal Gallagher
10:30-11:00 Break
11:00-11:45 Three-way Analysis of Small Angle X-ray Scattering Images: Coordinate Transformations and Morphing
            Barry M. Wise, J. David Londono, Richard L. Harlow
11:45-12:30 Discussion
12:30-13:30 Lunch
13:30-14:15 Multiblock Models of Chemical Processes
            Michael J. Piovoso and Kenneth S. Dahl
14:15-15:00 Multiway - Multiblock Component and Covariates Regression models 
            Johan A. Westerhuis, Stephen Gurden, and Age K. Smilde
15:00-15:30 Break
15:30-16:15 Modelling of spectroscopic batch process data using grey models to incorporate external information
            Stephen Gurden, Johan A. Westerhuis, Sabina Bijlsma, and Age K Smilde
16:15-17:00 Discussion
17:15-17.45 The MathWorks MATLAB compiler
            Sponsor presentation by Jørgen Osenbroch, COMSOL Inc. 
19:00-      Dinner
Friday, July 21 (notation and literature)
 7:30- 8:30 Breakfast
 8:30- 8:45 Introductions and announcements
 8:45- 9:30 Array Algebra via Ball and Whisker Diagrams
            Donald S Burdick
 9:30-10:15 A generalization of matrix notation and algebra to n-way arrays 
            Richard A. Harshman
10:15-10:45 Break
10:45-11:30 Studying the Diffusion of Three-Mode Analysis in Chemistry: Some Results
            Pieter M. Kroonenberg
11:30-12:00 Discussion and meeting wrap-up
12:00-13:30 Lunch and lights out (shuttles to Odense)
12.30-13.30 Farewell Lunch
13.30-      Departure
            Shuttles to Odense Station


  1. June 1, 2000, Deadline for registration for invited persons in 2nd circular and early registration
  2. June 1, 2000, Due date for submission of one A4 page abstract
  3. June 15, 2000, Notification of paper acceptance
  4. Later than June 15, 2000, Canceling registration – All refunded (Except 500 DKK fee)
  5. Later than July 1, 2000, Canceling registration – No refunds possible

Conference Organizing Committee

Claus A. Andersson, Royal Veterinary & Agricultural University, Denmark
Rasmus Bro, Royal Veterinary & Agricultural University, Denmark
Doug Carroll, Rutgers University, USA
Kim H. Esbensen, Telemark Institute of Technology, Norway
Neal B. Gallagher, Eigenvector Research, USA
Henk A. L. Kiers, University of Groningen, The Netherlands
Barry M. Wise, Eigenvector Research, USA


MathWorks Inc. (manufacturer of MATLAB) and Eigenvector Research Inc. kindly sponsor parts of the TRICAP2000 activities.

For more information contact the conference chairs

Rasmus Bro
Department of Dairy and Food Technology
Royal Veterinary and Agricultural University
Rolighedsvej 30
DK-1958 Frederiksberg
phone: (45) 35 28 32 96
Fax: (45) 35 28 35 05

Claus A. Andersson
Food Technology, Royal Veterinary and Agricultural University
Rolighedsvej 30
DK-1958 Frederiksberg C
Phone: (45) 38 27 34 11

Henk A. L. Kiers
Heymans Institute (PA)
University of Groningen
Grote Kruisstraat 2/1
9712 TS Groningen
The Netherlands
Phone: (31) 50-3636339
Fax: (31) 50-3636304
E-mail :

Local Organizing Secretariat

Kirsten Sabroe / Gilda Kischinovsky
E-mail : /
Fax: (45) 35 28 32 65

September, 2000