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Visual Object Recognition

Morgan & Claypool Publishers

The visual recognition problem is central to computer vision research. From robotics to information retrieval, many desired applications demand the ability to identify and localize categories, places, and objects. This tutorial overviews computer vision algorithms for visual object recognition and image classification. We introduce primary representations and learning approaches, with an emphasis on recent advances in the field. The target audience consists of researchers or students working in AI, robotics, or vision who would like to understand what methods and representations are available for these problems.


Simultaneous model-based clustering and visualization in the Fisher discriminative subspace

arXiv.org Machine Learning

Clustering in high-dimensional spaces is nowadays a recurrent problem in many scientific domains but remains a difficult task from both the clustering accuracy and the result understanding points of view. This paper presents a discriminative latent mixture (DLM) model which fits the data in a latent orthonormal discriminative subspace with an intrinsic dimension lower than the dimension of the original space. By constraining model parameters within and between groups, a family of 12 parsimonious DLM models is exhibited which allows to fit onto various situations. An estimation algorithm, called the Fisher-EM algorithm, is also proposed for estimating both the mixture parameters and the discriminative subspace. Experiments on simulated and real datasets show that the proposed approach performs better than existing clustering methods while providing a useful representation of the clustered data. The method is as well applied to the clustering of mass spectrometry data.


A sufficient condition on monotonic increase of the number of nonzero entry in the optimizer of L1 norm penalized least-square problem

arXiv.org Machine Learning

The $\ell$-1 norm based optimization is widely used in signal processing, especially in recent compressed sensing theory. This paper studies the solution path of the $\ell$-1 norm penalized least-square problem, whose constrained form is known as Least Absolute Shrinkage and Selection Operator (LASSO). A solution path is the set of all the optimizers with respect to the evolution of the hyperparameter (Lagrange multiplier). The study of the solution path is of great significance in viewing and understanding the profile of the tradeoff between the approximation and regularization terms. If the solution path of a given problem is known, it can help us to find the optimal hyperparameter under a given criterion such as the Akaike Information Criterion. In this paper we present a sufficient condition on $\ell$-1 norm penalized least-square problem. Under this sufficient condition, the number of nonzero entries in the optimizer or solution vector increases monotonically when the hyperparameter decreases. We also generalize the result to the often used total variation case, where the $\ell$-1 norm is taken over the first order derivative of the solution vector. We prove that the proposed condition has intrinsic connections with the condition given by Donoho, et al \cite{Donoho08} and the positive cone condition by Efron {\it el al} \cite{Efron04}. However, the proposed condition does not need to assume the sparsity level of the signal as required by Donoho et al's condition, and is easier to verify than Efron, et al's positive cone condition when being used for practical applications.


High-Dimensional Inference with the generalized Hopfield Model: Principal Component Analysis and Corrections

arXiv.org Machine Learning

Understanding the patterns of correlations between the components of complex systems is a fundamental issue in various scientific fields, ranging from neurobiology to genomic, from finance to sociology,... A recurrent problem is to distinguish between direct correlations, produced by physiological or functional interactions between the components, and network correlations, which are mediated by other, third-party components. Various approaches have been proposed to infer interactions from correlations, exploiting concepts related to statistical dimensional reduction [1], causality [2], the maximum entropy principle [3], Markov random fields [4]... A major practical and theoretical difficulty in doing so is the paucity and the quality of data: reliable analysis should be able to unveil real patterns of interactions, even if measures are affected by under-or noisy sampling. The size of the interaction network can be comparable to or larger than the number of data, a situation referred to as highdimensional inference. The purpose of the present work is to establish a quantitative correspondence between two of those approaches, namely the inference of Boltzmann Machines (also called Ising model in statistical physics and undirected graphical models for discrete variables in statistical inference [4]) and Principal Component Analysis (PCA) [1]. Inverse Boltzmann Machines (BM) are a mathematically well-founded but computationally challenging approach to infer interactions from correlations.


Understanding Exhaustive Pattern Learning

arXiv.org Artificial Intelligence

Pattern learning in an important problem in Natural Language Processing (NLP). Some exhaustive pattern learning (EPL) methods (Bod, 1992) were proved to be flawed (Johnson, 2002), while similar algorithms (Och and Ney, 2004) showed great advantages on other tasks, such as machine translation. In this article, we first formalize EPL, and then show that the probability given by an EPL model is constant-factor approximation of the probability given by an ensemble method that integrates exponential number of models obtained with various segmentations of the training data. This work for the first time provides theoretical justification for the widely used EPL algorithm in NLP, which was previously viewed as a flawed heuristic method. Better understanding of EPL may lead to improved pattern learning algorithms in future.


Translation-based Constraint Answer Set Solving

arXiv.org Artificial Intelligence

We solve constraint satisfaction problems through translation to answer set programming (ASP). Our reformulations have the property that unit-propagation in the ASP solver achieves well defined local consistency properties like arc, bound and range consistency. Experiments demonstrate the computational value of this approach.


An expert system for detecting automobile insurance fraud using social network analysis

arXiv.org Artificial Intelligence

The article proposes an expert system for detection, and subsequent investigation, of groups of collaborating automobile insurance fraudsters. The system is described and examined in great detail, several technical difficulties in detecting fraud are also considered, for it to be applicable in practice. Opposed to many other approaches, the system uses networks for representation of data. Networks are the most natural representation of such a relational domain, allowing formulation and analysis of complex relations between entities. Fraudulent entities are found by employing a novel assessment algorithm, Iterative Assessment Algorithm (IAA), also presented in the article. Besides intrinsic attributes of entities, the algorithm explores also the relations between entities. The prototype was evaluated and rigorously analyzed on real world data. Results show that automobile insurance fraud can be efficiently detected with the proposed system and that appropriate data representation is vital. Key words: Fraud detection, Automobile insurance, Social network analysis, Link analysis, Assessment propagation 1. Introduction Fraud is encountered in a variety of domains. It comes in all different shapes and sizes, from traditional fraud, e.g. Such groups can be found in the automobile insurance domain. Here fraudsters stage traffic accidents and issue fake insurance claims to gain (unjustified) funds from their general or vehicle insurance. There are also cases where an accident has never occurred, and the vehicles have only been placed onto the road. Still, the majority of such fraud is not planned (opportunistic fraud) - an individual only seizes the opportunity arising from the accident and issues exaggerated insurance claims or claims for past damages. Staged accidents have several common characteristics. They occur in late hours and non-urban areas in order to reduce the probability of witnesses. Drivers are usually younger males, there are many passengers in the vehicles, but never children or elders. The police is always called to the scene to make the subsequent acquisition of means easier. It is also not uncommon that all of the participants have multiple (serious) injuries, when there is almost no damage on the vehicles. Many other suspicious characteristics exist, not mentioned here.


Linear Temporal Logic and Propositional Schemata, Back and Forth (extended version)

arXiv.org Artificial Intelligence

This paper relates the well-known formalism of Linear Temporal Logic [Pnu77] with the logic of propositional schemata introduced in [ACP09]. We prove that LTL is equivalent to a particular class of schemata in the sense that polynomial-time translation algorithms exist from one logic to the other. Some consequences about complexity are given. We report about first experiments and the consequences about possible improvements in existing implementations are analyzed.



An Introduction to Intertask Transfer for Reinforcement Learning

AI Magazine

Transfer learning has recently gained popularity due to the development of algorithms that can successfully generalize information across multiple tasks. This article focuses on transfer in the context of reinforcement learning domains, a general learning framework where an agent acts in an environment to maximize a reward signal. The goals of this article are to (1) familiarize readers with the transfer learning problem in reinforcement learning domains, (2) explain why the problem is both interesting and difficult, (3) present a selection of existing techniques that demonstrate different solutions, and (4) provide representative open problems in the hope of encouraging additional research in this exciting area.