This survey provides an overview of higher-order tensor decompositions, their applications, and available software. A tensor is a multidimensional or $N$-way array. Decompositions of higher-order tensors (i.e., $N$-way arrays with $N \geq 3$) have applications in psycho-metrics, chemometrics, signal processing, numerical linear algebra, computer vision, numerical analysis, data mining, neuroscience, graph analysis, and elsewhere. Two particular tensor decompositions can be considered to be higher-order extensions of the matrix singular value decomposition: CANDECOMP/PARAFAC (CP) decomposes a tensor as a sum of rank-one tensors, and the Tucker decomposition is a higher-order form of principal component analysis. There are many other tensor decompositions, including INDSCAL, PARAFAC2, CANDELINC, DEDICOM, and PARATUCK2 as well as nonnegative variants of all of the above. The N-way Toolbox, Tensor Toolbox, and Multilinear Engine are examples of software packages for working with tensors.

/pdf/tensor-decompositions-and-applications-46vl2ih5gn.pdf

Tensor Decompositions and Applications

Two-way arrays or matrices are often not enough to represent all the information in the data and standard two-way analysis techniques commonly applied on matrices may fail to find the underlying structures in multi-modal datasets. Multiway data analysis has recently become popular as an exploratory analysis tool in discovering the structures in higher-order datasets, where data have more than two modes. We provide a review of significant contributions in the literature on multiway models, algorithms as well as their applications in diverse disciplines including chemometrics, neuroscience, social network analysis, text mining and computer vision.

/pdf/unsupervised-multiway-data-analysis-a-literature-survey-2fs9anhe18.pdf

Unsupervised Multiway Data Analysis: A Literature Survey

http://libpls.net/publication/MCUVE_2008.pdf

A variable selection method based on uninformative variable elimination for multivariate calibration of near-infrared spectra

Some forty years ago, when geotechnical centrifuge modelling had been rediscovered and was being developed once more after the early work of Phillips (1869), only a few studies were devoted to the questions and concerns about scaling laws and similitude conditions. During the first decades, it was relatively easy for researchers to keep themselves informed about the main outcomes of these studies and to take them into account when designing new centrifuge model tests. This is obviously not true today following the welcome growth in terms of the large number of centrifuge facilities now in operation around the world. It is increasingly difficult, but yet absolutely essential, to know about the relevant developments concerning studies into the scaling laws and, furthermore, into the limits of the domains of the use of centrifuge modelling. On the other hand, new media offers a significant opportunity to provide this resource to the physical modelling community. New topics are investigated by many researcher...

Catalogue of scaling laws and similitude questions in geotechnical centrifuge modelling

Fast, comprehensive two-dimensional liquid chromatography.

Installation resistance and uniaxial undrained compression capacity of a shallow skirted foundation embedded in normally consolidated and lightly over consolidated clay have been investigated in a series of beam centrifuge tests. Measured installation resistance is consistent with simple analytical predictions giving interface friction factors in good agreement with predictions from cyclic T-bar tests. Measured bearing capacity without preloading is in good agreement with theoretical solutions. The increase in operative shear strength from preloading is higher for the skirted foundation when compared with numerical data and experimental results for surface foundations. The study highlights the effects of consolidation history on the installation and undrained bearing response of a shallow foundation in clay.

Installation resistance and bearing capacity of a shallow skirted foundation in clay

A sound understanding of near-surface soil strength is essential for the accurate prediction of response of the structures laid on or shallowly embedded in the seabed. However, characterisation of the uppermost region of the seabed, which is typically very soft and -at a stresslow state, is extremely challenging. This paper demonstrate a novel stechnique for characterising the in situ undrained shear strength of near-surface soils using a newly-developed pile penetrometer. The pile penetrometer is vertically embedded into the near-surface soil and is driven laterally. A simple calculation of the resistance mobilised over the embedded depth of the pile penetrometer is presented along with its application to the continuous measurement of spatial variation in near-surface strength in virgin and disturbed regions of soil. INTRODUCTION Deepwater sites typically consist of normally consolidated fine-grained sediments (either clay, or carbonate muds and silts) and are characterised by extremely soft near-surface material. In situ testing using full-flow penetrometers, such as the T-bar or ball have increasingly been employed to characterise these soil types (Randolph et al. 2011). A drawback of conventional penetrometers is uncertainty in thethe assessed shear strength at very shallow penetrations (White et al. 2010). To properly interpret the soil shear strength shallow depths by atconventional full-flow penetrometers, corrections must be made to the measured penetration resistance to nearaccount for-surface effects brought about by soil buoyan cy and thechanging failure mechanism mobilised prior to the full flow of soil around the bar (White et al. 2010)penetrating . These corrections are further complicated by the entrainment and mixing of water into the sediment as the penetrometer enters and exits the seabed during cyclic tests. Also, conventional penetrometer tests, whether using the traditional cone or full flow penetrometers, are conducted at discrete locations to provide a shear strength profile with depth. They do not provide a continuous lateral profile of strength. To provide an alternative tool that overcomes some of these limitations, a novel penetrometer was developed at the University of Western Australia (UWA) (Sahdi 2012) : (1) todirectly assess the shear strength of shallow soils without necessitating progressively changing corrections to relieve near-surface effects, and (2) increase efficiency obtaining in lateral variations in soil strength. The tool is primarily targeted at assisting small scale model testing, such as centrifuge studies at UWA, but it is potentially applicable in the field at larger scale.

Continuous Characterisation of Near-Surface Soil Strength

Circular footing tests on sand have been carried out in the UWA drum centrifuge at a radial acceleration of 100 g. The main purpose of the experiments was to compare the combined loading response of a surface circular plate, a buried plate and a skirted foundation. The embedment depth to diameter ratio (L/D) of both the embedded foundation models was 0.5. Vertical loading, radial displacement and swipe tests producing vertical (V) and horizontal loads and overturning moment (M) loads have been carried out for each foundation type. Combined loads were applied by using a fixed arm to apply predominantly horizontal loading and a hinged arm to achieve a direct rotation of the foundation about its load reference point. All the experiments have been designed and conducted to allow the results to be interpreted within a strain hardening plasticity framework. © 2006 Taylor & Francis Group, London.

Drum centrifuge tests of surface and embedded footings on sand

Vertical bearing capacity of a shallow foundation with short skirts in normally consolidated clay has been investigated in the UWA drum centrifuge for embedment depths up to two footing diameters Tests were carried out in a special fabricated strong box set into the channel of the drum A half-model test was conducted adjacent to the strongbox Perspex window, facilitating optical measurement of soil deformation during foundation loading A full-model test was conducted in the interior of the strongbox to ascertain the true bearing capacity as the half-model results are anticipated to be distorted by friction developed along the Perspex window This paper describes the experimental techniques adopted and the results in terms of bearing capacity factor and the accompanying soil failure mechanisms

Drum centrifuge tests of shallow skirted foundations on soft clay

This paper outlines a toolbox of methods for optimising the geotechnical design of subsea foundations Subsea foundations are becoming increasingly widespread as offshore development moves away from the conventional template of a fixed platform over a set of wells to subsea development of multiple wells and fields tied back to a single facility Subsea developments comprise a network of infield flowlines and assorted pipeline and wellhead infrastructure, which is typically supported on shallow, mat foundations The optimisation methods presented cover (i) capacity assessment methodology, (ii) foundation configuration, (iii) geotechnical input and (iv) mode of operation The research results derive from a combination of physical model testing in a geotechnical centrifuge, numerical analysis and theoretical modelling Many of the research results have been immediately adopted in engineering practice in Australia and overseas, demonstrating the relevance of the methods to the national and international offshore hydrocarbon industries

Susan Gourvenec

Papers

Installation resistance and bearing capacity of a shallow skirted foundation in clay

Continuous Characterisation of Near-Surface Soil Strength

Drum centrifuge tests of surface and embedded footings on sand

Drum centrifuge tests of shallow skirted foundations on soft clay

Frontiers in deepwater geotechnics: Optimising geotechnical design of subsea foundations