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Support Vector Machines for Classification and Regression
 UNIVERSITY OF SOUTHAMPTON, TECHNICAL REPORT
, 1998
"... The problem of empirical data modelling is germane to many engineering applications.
In empirical data modelling a process of induction is used to build up a model of the
system, from which it is hoped to deduce responses of the system that have yet to be observed.
Ultimately the quantity and qualit ..."
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Cited by 348 (5 self)
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and quality of the observations govern the performance
of this empirical model. By its observational nature data obtained is finite and sampled;
typically this sampling is nonuniform and due to the high dimensional nature of the
problem the data will form only a sparse distribution in the input space
The quantum structure of spacetime at the Planck scale and quantum fields
 COMMUN. MATH. PHYS. 172, 187–220 (1995)
, 1995
"... We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We outl ..."
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Cited by 331 (6 self)
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We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We
2475–2479 This journal is © The Royal Society of Chemistry 2008 Pu bl ish ed o n M ar ch 8. D ow nl oa de d by P en ns yl va ni a St at e U ni ve rs ity o n /0
, 2008
"... First published as an Advance Article on the web 3rd January 2001 The electrochemical generation and characterisation of a variety of oquinodimethanes (oQDMs) are described together with the outcome of preparative experiments in which they are key intermediates. The quinodimethanes are convenientl ..."
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Cited by 339 (7 self)
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First published as an Advance Article on the web 3rd January 2001 The electrochemical generation and characterisation of a variety of oquinodimethanes (oQDMs) are described together with the outcome of preparative experiments in which they are key intermediates. The quinodimethanes are conveniently formed, in DMF, by both direct and redoxcatalysed electroreduction of 1,2bis(halomethyl)arenes. Their predominant reaction is polymerisation to poly(oxylylene) (oPX) polymers. In the presence of dienophiles the electrogenerated oQDMs may undergo efficient cycloaddition reaction and distinctions between the possible mechanisms have been attempted on the basis of voltammetric, preparative and stereochemical experiments. Contrary to the precedent of the corresponding methyl ester, diphenyl maleate radicalanion isomerises only slowly to the fumarate radicalanion, yet coelectrolysis of 2,3bis(bromomethyl)1,4dimethoxybenzene and diphenyl maleate or diphenyl fumarate gives exclusively the corresponding transadduct. Coelectrolysis of dimethyl maleate with either 1,2bis(bromomethyl)benzene (more easily reduced) or 2,3bis(bromomethyl)1,4dimethoxybenzene (less easily reduced) gave only oPX polymer. The results are rationalised in terms of a double nucleophilic substitution mechanism where electron transfer between dienophile radicalanion and dihalide is relatively slow. Where electron transfer from maleate or fumarate radicalanions is likely to be fast oquinodimethanes are formed by redoxcatalysis and they polymerise rather than undergo Diels–Alder reaction. Dimerisation of the dienophile radicalanions, with k2 = 104 to 105 M1 s1, does not apparently compete with nucleophilic substitution or, where relevant, electron transfer.
A generalized uncertainty principle and sparse representation in pairs of bases
 IEEE Trans. Inform. Theory
, 2002
"... An elementary proof of a basic uncertainty principle concerning pairs of representations of ℜ N vectors in different orthonormal bases is provided. The result, slightly stronger than stated before, has a direct impact on the uniqueness property of the sparse representation of such vectors using pair ..."
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Cited by 245 (15 self)
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An elementary proof of a basic uncertainty principle concerning pairs of representations of ℜ N vectors in different orthonormal bases is provided. The result, slightly stronger than stated before, has a direct impact on the uniqueness property of the sparse representation of such vectors using
Using Maximum Entropy for Text Classification
, 1999
"... This paper proposes the use of maximum entropy techniques for text classification. Maximum entropy is a probability distribution estimation technique widely used for a variety of natural language tasks, such as language modeling, partofspeech tagging, and text segmentation. The underlying principl ..."
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Cited by 320 (6 self)
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principle of maximum entropy is that without external knowledge, one should prefer distributions that are uniform. Constraints on the distribution, derived from labeled training data, inform the technique where to be minimally nonuniform. The maximum entropy formulation has a unique solution which can
Greedy Signal Recovery and Uncertainty Principles
, 2007
"... This paper seeks to bridge the two major algorithmic approaches to sparse signal recovery from an incomplete set of linear measurements – L1minimization methods and iterative methods (Matching Pursuits). We find a simple regularized version of the Orthogonal Matching Pursuit (ROMP) which has advant ..."
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Cited by 2 (0 self)
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Uncertainty Principle. In the case of inaccurate measurements and approximately sparse signals, the noise level of the recovery is proportional to √ log ne2 where e is the error vector.
Slice sampling
 Annals of Statistics
, 2000
"... Abstract. Markov chain sampling methods that automatically adapt to characteristics of the distribution being sampled can be constructed by exploiting the principle that one can sample from a distribution by sampling uniformly from the region under the plot of its density function. A Markov chain th ..."
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Cited by 300 (5 self)
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Abstract. Markov chain sampling methods that automatically adapt to characteristics of the distribution being sampled can be constructed by exploiting the principle that one can sample from a distribution by sampling uniformly from the region under the plot of its density function. A Markov chain
Assessment and Propagation of Model Uncertainty
, 1995
"... this paper I discuss a Bayesian approach to solving this problem that has long been available in principle but is only now becoming routinely feasible, by virtue of recent computational advances, and examine its implementation in examples that involve forecasting the price of oil and estimating the ..."
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Cited by 222 (0 self)
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this paper I discuss a Bayesian approach to solving this problem that has long been available in principle but is only now becoming routinely feasible, by virtue of recent computational advances, and examine its implementation in examples that involve forecasting the price of oil and estimating
Network Centric Warfare: Developing and Leveraging Information Superiority
 Command and Control Research Program (CCRP), US DoD
, 2000
"... the mission of improving DoD’s understanding of the national security implications of the Information Age. Focusing upon improving both the state of the art and the state of the practice of command and control, the CCRP helps DoD take full advantage of the opportunities afforded by emerging technolo ..."
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Cited by 308 (5 self)
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the mission of improving DoD’s understanding of the national security implications of the Information Age. Focusing upon improving both the state of the art and the state of the practice of command and control, the CCRP helps DoD take full advantage of the opportunities afforded by emerging technologies. The CCRP pursues a broad program of research and analysis in information superiority, information operations, command and control theory, and associated operational concepts that enable us to leverage shared awareness to improve the effectiveness and efficiency of assigned missions. An important aspect of the CCRP program is its ability to serve as a bridge between the operational, technical, analytical, and educational communities. The CCRP provides leadership for the command and control research community by: n n
Learning Bayesian belief networks: An approach based on the MDL principle
 Computational Intelligence
, 1994
"... A new approach for learning Bayesian belief networks from raw data is presented. The approach is based on Rissanen's Minimal Description Length (MDL) principle, which is particularly well suited for this task. Our approach does not require any prior assumptions about the distribution being lear ..."
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Cited by 247 (7 self)
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A new approach for learning Bayesian belief networks from raw data is presented. The approach is based on Rissanen's Minimal Description Length (MDL) principle, which is particularly well suited for this task. Our approach does not require any prior assumptions about the distribution being
Results 21  30
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1,056,408