Predictive PAC Learning and Process Decompositions

We informally call a stochastic process learnable if it admits a generalization error approaching zero in probability for any concept class with finite VC-dimension (IID processes are the simplest example). A mixture of learnable processes need not be learnable itself, and certainly its generalization error need not decay at the same rate. In this paper, we argue that it is natural in predictive PAC to condition not on the past observations but on the mixture component of the sample path. This definition not only matches what a realistic learner might demand, but also allows us to sidestep several otherwise grave problems in learning from dependent data. In particular, we give a novel PAC generalization bound for mixtures of learnable processes with a generalization error that is not worse than that of each mixture component. We also provide a characterization of mixtures of absolutely regular ($\beta$-mixing) processes, of independent probability-theoretic interest.Comment: 9 pages, accepted in NIPS 201

Understanding the learning process in SMEs

A major obstacle to the diffusion of management development learning technologies from Higher Education Institutions to Small and Medium-sized Enterprises (SMEs) is a lack of understanding about how SME learners learn. This article examines the nature of learning in SMEs and considers the incidence of informal support for informal learning. Consideration is given to the potential for the use of learning technology to support SME learning, considering potential benefits, development of appropriate content, formal vs. informal learning technology support and the socialisation of learning content. Finally, the application of this study at both a macro and micro level is reflected upon

Definition Constructed Process in Mathematics Learning

Salah satu faktor yang dapat mendukung kemampuan profesional guru adalah penguasaan guru tentang ilmu psikologi kognitif. Salah satu kajian dari ilmu kognitif adalah tentang bagaimana siswa belajar. Tulisan ini membahas tentang bagaimana pemahaman terhadap definisi berkembang dalam pikiran siswa. Seorang guru tidak hanya memfasilitasi siswa untuk memiliki konsep definisi sebaiknya sampai memiliki konsep image

Learning Hybrid Process Models From Events: Process Discovery Without Faking Confidence

Process discovery techniques return process models that are either formal (precisely describing the possible behaviors) or informal (merely a "picture" not allowing for any form of formal reasoning). Formal models are able to classify traces (i.e., sequences of events) as fitting or non-fitting. Most process mining approaches described in the literature produce such models. This is in stark contrast with the over 25 available commercial process mining tools that only discover informal process models that remain deliberately vague on the precise set of possible traces. There are two main reasons why vendors resort to such models: scalability and simplicity. In this paper, we propose to combine the best of both worlds: discovering hybrid process models that have formal and informal elements. As a proof of concept we present a discovery technique based on hybrid Petri nets. These models allow for formal reasoning, but also reveal information that cannot be captured in mainstream formal models. A novel discovery algorithm returning hybrid Petri nets has been implemented in ProM and has been applied to several real-life event logs. The results clearly demonstrate the advantages of remaining "vague" when there is not enough "evidence" in the data or standard modeling constructs do not "fit". Moreover, the approach is scalable enough to be incorporated in industrial-strength process mining tools.Comment: 25 pages, 12 figure

Export learning process in local supplier networks

The objective of this study is to analyze the influence of a multinational corporation on the productive network of the host territory and the proliferation of entrepreneurs. In particular, an attempt has been made to analyze the influence on the exporting activities of local SMEs, both suppliers and non-suppliers. The study has shown that strategic integrated suppliers show greater exporting tendencies than those which are not considered to be strategic suppliers for the MNC. Similarly, those companies whose founder and/or part of the executive team have worked previously in the MNC show greater levels of export activity, compared to those companies founded by local entrepreneurs