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 Learning Graphical Models


Simplicial Mixtures of Markov Chains: Distributed Modelling of Dynamic User Profiles

Neural Information Processing Systems

To provide a compact generative representation of the sequential activ- ity of a number of individuals within a group there is a tradeoff between the definition of individual specific and global models. This paper pro- poses a linear-time distributed model for finite state symbolic sequences representing traces of individual user activity by making the assump- tion that heterogeneous user behavior may be'explained' by a relatively small number of common structurally simple behavioral patterns which may interleave randomly in a user-specific proportion. The results of an empirical study on three different sources of user traces indicates that this modelling approach provides an efficient representation scheme, re- flected by improved prediction performance as well as providing low- complexity and intuitively interpretable representations.


Linear Program Approximations for Factored Continuous-State Markov Decision Processes

Neural Information Processing Systems

Approximate linear programming (ALP) has emerged recently as one of the most promising methods for solving complex factored MDPs with (cid:2)nite state spaces. In this work we show that ALP solutions are not limited only to MDPs with (cid:2)nite state spaces, but that they can also be applied successfully to factored continuous-state MDPs (CMDPs). We show how one can build an ALP-based approximation for such a model and contrast it to existing solution methods. We argue that this approach offers a robust alternative for solving high dimensional continuous-state space problems. The point is supported by experiments on three CMDP problems with 24-25 continuous state factors.


Inferring State Sequences for Non-linear Systems with Embedded Hidden Markov Models

Neural Information Processing Systems

We describe a Markov chain method for sampling from the distribution of the hidden state sequence in a non-linear dynamical system, given a sequence of observations. This method updates all states in the sequence simultaneously using an embedded Hidden Markov Model (HMM). An update begins with the creation of "pools" of candidate states at each time. We then define an embedded HMM whose states are indexes within these pools. Using a forward-backward dynamic programming algo- rithm, we can efficiently choose a state sequence with the appropriate probabilities from the exponentially large number of state sequences that pass through states in these pools.


Wormholes Improve Contrastive Divergence

Neural Information Processing Systems

In models that define probabilities via energies, maximum likelihood learning typically involves using Markov Chain Monte Carlo to sample from the model's distribution. If the Markov chain is started at the data distribution, learning often works well even if the chain is only run for a few time steps [3]. But if the data distribution contains modes separated by regions of very low density, brief MCMC will not ensure that different modes have the correct relative energies because it cannot move particles from one mode to another. We show how to improve brief MCMC by allowing long-range moves that are suggested by the data distribution. If the model is approximately correct, these long-range moves have a reasonable acceptance rate.


Theories of Access Consciousness

Neural Information Processing Systems

Theories of access consciousness address how it is that some mental states but not others are available for evaluation, choice behavior, and verbal report. Farah, O'Reilly, and Vecera (1994) argue that quality of representation is critical; De- haene, Sergent, and Changeux (2003) argue that the ability to communicate rep- resentations is critical. We present a probabilistic information transmission or PIT model that suggests both of these conditions are essential for access con- sciousness. Having successfully modeled data from the repetition priming litera- ture in the past, we use the PIT model to account for data from two experiments on subliminal priming, showing that the model produces priming even in the ab- sence of accessibility and reportability of internal states. The model provides a mechanistic basis for understanding the dissociation of priming and awareness. Philosophy has made many attempts to identify distinct aspects of consciousness. Perhaps the most famous effort is Block's (1995) delineation of phenomenal and access conscious- ness.


Modeling Conversational Dynamics as a Mixed-Memory Markov Process

Neural Information Processing Systems

In this work, we quantitatively investigate the ways in which a given person the joint turn-taking behavior in a conversation. After collecting an auditory database of social interactions among a group of twenty-three people via wearable sensors (66 hours of data each over two weeks), we apply speech and conversation detection methods to the auditory streams. These methods automatically locate the conversations, determine their participants, and mark which participant was speaking when. We then model the joint turn-taking behavior as a Mixed-Memory Markov Model [1] that combines the statistics of the individual subjects' self-transitions and the partners ' cross-transitions. The mixture parameters in this model describe how much each person's individual behavior contributes to the joint turn-taking behavior of the pair.


Coarticulation in Markov Decision Processes

Neural Information Processing Systems

We investigate an approach for simultaneously committing to mul- tiple activities, each modeled as a temporally extended action in a semi-Markov decision process (SMDP). For each activity we de- fine a set of admissible solutions consisting of the redundant set of optimal policies, and those policies that ascend the optimal state- value function associated with them. A plan is then generated by merging them in such a way that the solutions to the subordinate activities are realized in the set of admissible solutions satisfying the superior activities. We present our theoretical results and em- pirically evaluate our approach in a simulated domain.


A Method for Inferring Label Sampling Mechanisms in Semi-Supervised Learning

Neural Information Processing Systems

We consider the situation in semi-supervised learning, where the "label sampling" mechanism stochastically depends on the true response (as well as potentially on the features). We suggest a method of moments for estimating this stochastic dependence using the unlabeled data. This is potentially useful for two distinct purposes: a. As an input to a super- vised learning procedure which can be used to "de-bias" its results using labeled data only and b. We present several examples to illustrate the practical usefulness of our method.


Instance-Specific Bayesian Model Averaging for Classification

Neural Information Processing Systems

Classification algorithms typically induce population-wide models that are trained to perform well on average on expected future instances. We introduce a Bayesian framework for learning instance-specific models from data that are optimized to predict well for a particular instance. Based on this framework, we present a that performs selective model averaging over a restricted class of Bayesian networks. On experimental evaluation, this algorithm shows superior performance over model selection. We intend to apply such instance-specific algorithms to improve the performance of patient-specific predictive models induced from medical data.