GTM: A principled alternative to the self-organizing map

The Self-Organizing Map (SOM) algorithm has been extensively studied and has been applied with considerable success to a wide variety of problems. However, the algorithm is derived from heuristic ideas and this leads to a number of significant limitations. In this paper, we consider the problem of modelling the probability density of data in a space of several dimensions in terms of a smaller number of latent, or hidden, variables. We introduce a novel form of latent variable model, which we call the GTM algorithm (for Generative Topographic Mapping), which allows general non-linear transformations from latent space to data space, and which is trained using the EM (expectation-maximization) algorithm. Our approach overcomes the limitations of the SOM, while introducing no significant disadvantages. We demonstrate the performance of the GTM algorithm on simulated data from flow diagnostics for a multi-phase oil pipeline.

Understanding policy implementation processes as self-organizing systems

Implementation studies and related research in organizational theory can be enhanced by drawing on the field of complex systems to understand better and, as a consequence, more successfully manage change. This article reinterprets data previously published in the British Journal of Management to reveal a new contribution, that policy implementation processes should be understood as a self-organizing system in which adaptive abilities are extremely important for stakeholders. In other words, national policy is reinterpreted at the local level, with each local organization uniquely mixing elements of national policy with their own requirements making policy implementation unpredictable and more sketchy. The original article explained different paces and directions of change in terms of traditional management processes: leadership, politics, implementation and vision. By reinterpreting the data, it is possible to reveal that deeper level processes, which are more emergent, are also at work influencing change, which the authors label possibility space. Implications for theory, policy and practice are identified.

Strategizing and organizing in pluralistic contexts

In this article, the concept of pluralism is used to expose variations in the relationship between organizing and strategizing and the consequences of these variations for managerial practice. Pluralistic contexts are those that are shaped by the divergent goals and interests of different groups inside and outside the organization. Internally, these divergent interests result in multiple organizing processes, while the interests of external stakeholders lead to multiple strategic goals and objectives. Despite the Fact that innate pluralism and the consequent complexity of strategizing and organizing processes are experienced by many organizations in the 21st century, pluralism has been inadequately examined in organisation studies and virtually ignored in the strategy literature. Having defined pluralism and explained its implications for strategizing and organizing practices and processes within organizations, three relevant questions are posed for investigating the nature of organizing and strategizing in pluralistic contexts. Case examples from the public sector, professional services and regulated industries are utilized to provide insights into these questions, and derive a framework that enables the drivers and potential problems of the interdependence between strategizing and organizing to be better understood. Practical implications for managing this interdependence are drawn.

Organizing innovation: complementarities between cross-functional teams

Cross-functional teams play a potentially important part in the innovation process enabling knowledge sharing, the development of trust and overcoming spatial and organizational barriers. Using a supermodularity approach, we focus on potential complementarities which may arise when cross-functional teams are used in different elements of the innovation process in UK and German manufacturing plants. Using optimal combinations of cross-functional teams in the innovation process increases innovation success in the UK by 29.5 per cent compared to 9.5 per cent in Germany. Patterns of complementarity are complex, however, but are more uniform in the UK than in Germany. The most uniform complementarities are between product design and development and production engineering, with little synergy evident between the more technical phases of the innovation process and the development of marketing strategy. In strategic terms, our results suggest the value of using cross-functional teams for the more technical elements of the innovation process but that the development of marketing strategy should remain the domain of specialists.

Organizing to reorganize:doing end-to-end management in practice

This paper takes a practice perspective on organizing, re-conceptualizing coordination mechanisms as dynamic activities that are under continuous construction and modification in order to socially accomplish intra-organizational relationships and activities. The paper is based on the case of Servico, an organization undergoing a major reorganization of its value chain in response to a change in government regulation. We examine the specific performances through which the ostensive and abstract character of a coordination mechanism, ‘end-to-end management’, is defined and refined into a set of activities that actors can use to effect the re-organization of relationships between two divisions during the delivery of a critical regulatory goal. We find six cycles of iteration between the ostensive and performative nature of end-to-end, which progressively help to organize three phases in the reorganization of Servico; absence, presence and formalization. The discussion examines the processual evolution of these cycles and phases and their implications for the way that reorganization occurred. We draw these findings together in a process model that makes contributions to the literature on organizing, on ostensive and performative routines, and on organizational restructuring.

Organizing the innovation process:complementarities in innovation networking

This paper contributes to the developing literature on complementarities in organizational design. We test for the existence of complementarities in the use of external networking between stages of the innovation process in a sample of UK and German manufacturing plants. Our evidence suggests some differences between the UK and Germany in terms of the optimal combination of innovation activities in which to implement external networking. Broadly, there is more evidence of complementarities in the case of Germany, with the exception of the product engineering stage. By contrast, the UK exhibits generally strong evidence of substitutability in external networking in different stages, except between the identification of new products and product design and development stages. These findings suggest that previous studies indicating strong complementarity between internal and external knowledge sources have provided only part of the picture of the strategic dilemmas facing firms.

Dynamics and topographic organization of recursive self-organizing maps

Recently there has been an outburst of interest in extending topographic maps of vectorial data to more general data structures, such as sequences or trees. However, there is no general consensus as to how best to process sequences using topographicmaps, and this topic remains an active focus of neurocomputational research. The representational capabilities and internal representations of the models are not well understood. Here, we rigorously analyze a generalization of the self-organizingmap (SOM) for processing sequential data, recursive SOM (RecSOM) (Voegtlin, 2002), as a nonautonomous dynamical system consisting of a set of fixed input maps. We argue that contractive fixed-input maps are likely to produce Markovian organizations of receptive fields on the RecSOM map. We derive bounds on parameter β (weighting the importance of importing past information when processing sequences) under which contractiveness of the fixed-input maps is guaranteed. Some generalizations of SOM contain a dynamic module responsible for processing temporal contexts as an integral part of the model. We show that Markovian topographic maps of sequential data can be produced using a simple fixed (nonadaptable) dynamic module externally feeding a standard topographic model designed to process static vectorial data of fixed dimensionality (e.g., SOM). However, by allowing trainable feedback connections, one can obtain Markovian maps with superior memory depth and topography preservation. We elaborate on the importance of non-Markovian organizations in topographic maps of sequential data. © 2006 Massachusetts Institute of Technology.

Recursive self-organizing map as a contractive iterative function system

Recently, there has been a considerable research activity in extending topographic maps of vectorial data to more general data structures, such as sequences or trees. However, the representational capabilities and internal representations of the models are not well understood. We rigorously analyze a generalization of the Self-Organizing Map (SOM) for processing sequential data, Recursive SOM (RecSOM [1]), as a non-autonomous dynamical system consisting off a set of fixed input maps. We show that contractive fixed input maps are likely to produce Markovian organizations of receptive fields o the RecSOM map. We derive bounds on parameter $\beta$ (weighting the importance of importing past information when processing sequences) under which contractiveness of the fixed input maps is guaranteed.

Organizing to reorganize:doing end-to-end management in practice

This paper takes a practice perspective on organizing, re-conceptualizing coordination mechanisms as dynamic activities that are under continuous construction and modification in order to socially accomplish intra-organizational relationships and activities. The paper is based on the case of Servico, an organization undergoing a major reorganization of its value chain in response to a change in government regulation. We examine the specific performances through which the ostensive and abstract character of a coordination mechanism, ‘end-to-end management’, is defined and refined into a set of activities that actors can use to effect the re-organization of relationships between two divisions during the delivery of a critical regulatory goal. We find six cycles of iteration between the ostensive and performative nature of end-to-end, which progressively help to organize three phases in the reorganization of Servico; absence, presence and formalization. The discussion examines the processual evolution of these cycles and phases and their implications for the way that reorganization occurred. We draw these findings together in a process model that makes contributions to the literature on organizing, on ostensive and performative routines, and on organizational restructuring.

Organizing innovation:complementarities between cross-functional teams

Cross-functional teams play a potentially important part in the innovation process enabling knowledge sharing, the development of trust and overcoming spatial and organizational barriers. Using a supermodularity approach, we focus on potential complementarities which may arise when cross-functional teams are used in different elements of the innovation process in UK and German manufacturing plants. Using optimal combinations of cross-functional teams in the innovation process increases innovation success in the UK by 29.5 per cent compared to 9.5 per cent in Germany. Patterns of complementarity are complex, however, but are more uniform in the UK than in Germany. The most uniform complementarities are between product design and development and production engineering, with little synergy evident between the more technical phases of the innovation process and the development of marketing strategy. In strategic terms, our results suggest the value of using cross-functional teams for the more technical elements of the innovation process but that the development of marketing strategy should remain the domain of specialists.

Self-organizing Map and Cellular Automata Combined Technique for Advanced Mesh Generation in Urban and Architectural Design

This paper presents a technique for building complex and adaptive meshes for urban and architectural design. The combination of a self-organizing map and cellular automata algorithms stands as a method for generating meshes otherwise static. This intends to be an auxiliary tool for the architect or the urban planner, improving control over large amounts of spatial information. The traditional grid employed as design aid is improved to become more general and flexible.

String Measure Applied to String Self-Organizing Maps and Networks of Evolutionary Processors

* Supported by projects CCG08-UAM TIC-4425-2009 and TEC2007-68065-C03-02

Partnership and organizing:an empirical assessment of two contrasting approaches to union revitalization in the UK

The Trades Union Congress (TUC) in Britain has been advocating two contrasting approaches to union revitalization namely: ‘labour—management partnership’ and ‘union organizing’. Using a case study of a public services union this article examines empirically the prospects of union revival offered by these two contrasting approaches. Public services with relatively high union density should offer better prospects for union revival through partnership. However, the authors’ findings indicate that even in public services, partnership was not associated with management’s support for union recruitment, better facility time provisions for union representatives, lower worker grievances or union membership gains. Rank-and-file organizing, on the other hand, was associated with lower worker grievances, greater worker satisfaction with the union, higher worker involvement in union activities and union membership gains. Overall, the findings question the ‘mutual gains’ assertions of partnership advocates and lend support to the critics of partnership who propose an alternative organizing approach to union revitalization.

Organizing entrepreneurial judgment:a new approach to the firm

Book review: Organizing Entrepreneurial Judgment: A New Approach to the Firm. By Nicolai J. Foss and Peter G. Klein. Cambridge University Press, Cambridge. 2012. xxii + 299 pp. Pbk $36.99.