Bayesian Inference
Acquiring Speech Transcriptions Using Mismatched Crowdsourcing
Jyothi, Preethi (University of Illinois at Urbana-Champaign) | Hasegawa-Johnson, Mark (University of Illinois at Urbana-Champaign)
Transcribed speech is a critical resource for building statistical speech recognition systems. Recent work has looked towards soliciting transcriptions for large speech corpora from native speakers of the language using crowdsourcing techniques. However, native speakers of the target language may not be readily available for crowdsourcing. We examine the following question: can humans unfamiliar with the target language help transcribe? We follow an information-theoretic approach to this problem: (1) We learn the characteristics of a noisy channel that models the transcribers' systematic perception biases. (2) We use an error-correcting code, specifically a repetition code, to encode the inputs to this channel, in conjunction with a maximum-likelihood decoding rule. To demonstrate the feasibility of this approach, we transcribe isolated Hindi words with the help of Mechanical Turk workers unfamiliar with Hindi. We successfully recover Hindi words with an accuracy of over 85% (and 94% in a 4-best list) using a 15-fold repetition code. We also estimate the conditional entropy of the input to this channel (Hindi words) given the channel output (transcripts from crowdsourced workers) to be less than 2 bits; this serves as a theoretical estimate of the average number of bits of auxiliary information required for errorless recovery.
Effectively Predicting Whether and When a Topic Will Become Prevalent in a Social Network
Liu, Weiwei (University of Technology) | Deng, Zhi-Hong (Peking University) | Gong, Xiuwen (Anhui Normal University) | Jiang, Frank (University of New South Wales) | Tsang, Ivor W. (University of Technology)
Effective forecasting of future prevalent topics plays animportant role in social network business development.It involves two challenging aspects: predicting whethera topic will become prevalent, and when. This cannotbe directly handled by the existing algorithms in topicmodeling, item recommendation and action forecasting.The classic forecasting framework based on time seriesmodels may be able to predict a hot topic when a seriesof periodical changes to user-addressed frequency in asystematic way. However, the frequency of topics discussedby users often changes irregularly in social networks.In this paper, a generic probabilistic frameworkis proposed for hot topic prediction, and machine learningmethods are explored to predict hot topic patterns.Two effective models, PreWHether and PreWHen, areintroduced to predict whether and when a topic will becomeprevalent. In the PreWHether model, we simulatethe constructed features of previously observed frequencychanges for better prediction. In the PreWHen model,distributions of time intervals associated with the emergenceto prevalence of a topic are modeled. Extensiveexperiments on real datasets demonstrate that ourmethod outperforms the baselines and generates moreeffective predictions.
A Bayesian Model of node interaction in networks
We are concerned with modeling the strength of links in networks by taking into account how often those links are used. Link usage is a strong indicator of how closely two nodes are related, but existing network models in Bayesian Statistics and Machine Learning are able to predict only wether a link exists at all. As priors for latent attributes of network nodes we explore the Chinese Restaurant Process (CRP) and a multivariate Gaussian with fixed dimensionality. The model is applied to a social network dataset and a word coocurrence dataset.
Hamiltonian ABC
Meeds, Edward, Leenders, Robert, Welling, Max
Approximate Bayesian computation (ABC) is a powerful and elegant framework for performing inference in simulation-based models. However, due to the difficulty in scaling likelihood estimates, ABC remains useful for relatively low-dimensional problems. We introduce Hamiltonian ABC (HABC), a set of likelihood-free algorithms that apply recent advances in scaling Bayesian learning using Hamiltonian Monte Carlo (HMC) and stochastic gradients. We find that a small number forward simulations can effectively approximate the ABC gradient, allowing Hamiltonian dynamics to efficiently traverse parameter spaces. We also describe a new simple yet general approach of incorporating random seeds into the state of the Markov chain, further reducing the random walk behavior of HABC. We demonstrate HABC on several typical ABC problems, and show that HABC samples comparably to regular Bayesian inference using true gradients on a high-dimensional problem from machine learning.
Heteroscedastic Treed Bayesian Optimisation
Assael, John-Alexander M., Wang, Ziyu, Shahriari, Bobak, de Freitas, Nando
Optimising black-box functions is important in many disciplines, such as tuning machine learning models, robotics, finance and mining exploration. Bayesian optimisation is a state-of-the-art technique for the global optimisation of black-box functions which are expensive to evaluate. At the core of this approach is a Gaussian process prior that captures our belief about the distribution over functions. However, in many cases a single Gaussian process is not flexible enough to capture non-stationarity in the objective function. Consequently, heteroscedasticity negatively affects performance of traditional Bayesian methods. In this paper, we propose a novel prior model with hierarchical parameter learning that tackles the problem of non-stationarity in Bayesian optimisation. Our results demonstrate substantial improvements in a wide range of applications, including automatic machine learning and mining exploration.
Local Expectation Gradients for Doubly Stochastic Variational Inference
We introduce local expectation gradients which is a general purpose stochastic variational inference algorithm for constructing stochastic gradients through sampling from the variational distribution. This algorithm divides the problem of estimating the stochastic gradients over multiple variational parameters into smaller sub-tasks so that each sub-task exploits intelligently the information coming from the most relevant part of the variational distribution. This is achieved by performing an exact expectation over the single random variable that mostly correlates with the variational parameter of interest resulting in a Rao-Blackwellized estimate that has low variance and can work efficiently for both continuous and discrete random variables. Furthermore, the proposed algorithm has interesting similarities with Gibbs sampling but at the same time, unlike Gibbs sampling, it can be trivially parallelized.
Bethe Learning of Conditional Random Fields via MAP Decoding
Tang, Kui, Ruozzi, Nicholas, Belanger, David, Jebara, Tony
Many machine learning tasks can be formulated in terms of predicting structured outputs. In frameworks such as the structured support vector machine (SVM-Struct) and the structured perceptron, discriminative functions are learned by iteratively applying efficient maximum a posteriori (MAP) decoding. However, maximum likelihood estimation (MLE) of probabilistic models over these same structured spaces requires computing partition functions, which is generally intractable. This paper presents a method for learning discrete exponential family models using the Bethe approximation to the MLE. Remarkably, this problem also reduces to iterative (MAP) decoding. This connection emerges by combining the Bethe approximation with a Frank-Wolfe (FW) algorithm on a convex dual objective which circumvents the intractable partition function. The result is a new single loop algorithm MLE-Struct, which is substantially more efficient than previous double-loop methods for approximate maximum likelihood estimation. Our algorithm outperforms existing methods in experiments involving image segmentation, matching problems from vision, and a new dataset of university roommate assignments.
Optimality of Poisson processes intensity learning with Gaussian processes
Kirichenko, Alisa, van Zanten, Harry
In this paper we provide theoretical support for the so-called "Sigmoidal Gaussian Cox Process" approach to learning the intensity of an inhomogeneous Poisson process on a $d$-dimensional domain. This method was proposed by Adams, Murray and MacKay (ICML, 2009), who developed a tractable computational approach and showed in simulation and real data experiments that it can work quite satisfactorily. The results presented in the present paper provide theoretical underpinning of the method. In particular, we show how to tune the priors on the hyper parameters of the model in order for the procedure to automatically adapt to the degree of smoothness of the unknown intensity and to achieve optimal convergence rates.
Nonparametric Bayesian Learning of Other Agents' Policies in Interactive POMDPs
Panella, Alessandro (University of Illinois at Chicago) | Gmytrasiewicz, Piotr (University of Illinois at Chicago)
We consider an autonomous agent facing a partially observable, stochastic, multiagent environment where the unknown policies of other agents are represented as finite state controllers (FSCs). We show how an agent can (i) learn the FSCs of the other agents, and (ii) exploit these models during interactions. To separate the issues of off-line versus on-line learning we consider here an off-line two-phase approach. During the first phase the agent observes as the other player(s) are interacting with the environment (the observations may be imperfect and the learning agent is not taking part in the interaction.) The collected data is used to learn an ensemble of FSCs that explain the behavior of the other agent(s) using a Bayesian non-parametric (BNP) approach. We verify the quality of the learned models during the second phase by allowing the agent to compute its own optimal policy and interact with the observed agent. The optimal policy for the learning agent is obtained by solving an interactive POMDP in which the states are augmented by the other agent(s)' possible FSCs. The advantage of using the Bayesian nonparametric approach in the first phase is that the complexity (number of nodes) of the learned controllers is not bounded a priori. Our two-phase approach is preliminary and separates the learning using BNP from the complexities of learning on-line while the other agent may be modifying its policy (on-line approach is subject of our future work.) We describe our implementation and results in a multiagent Tiger domain. Our results show that learning improves the agent's performance, which increases with the amount of data collected during the learning phase.
Modeling Ecological Integrity with Bayesian Belief Networks
Barrios, Juan M. (National Commission for Knowledge and Use of Biodiversity) | Sierra-Alcocer, Raúl (National Commission for Knowledge and Use of Biodiversity) | González-Salazar, Constantino (National Commission for Knowledge and Use of Biodiversity) | Mora, Franz E. (National Commission for Knowledge and Use of Biodiversity) | Munguía, Mariana (National Commission for Knowledge and Use of Biodiversity) | Pérez-Maqueo, Octavio M. (National Commission for Knowledge and Use of Biodiversity) | Trejo, Isabel (National Commission for Knowledge and Use of Biodiversity)
Although the concept of ecological integrity is referred in many country legislations there is no consensus on how to formalize and implement it. One possible definition is as the capacity of an ecosystem to support and maintain a balanced, integrated, and adaptive community of organisms having a species composition, diversity, and functional organization comparable to that of a natural habitat of the region. Our objective is to model this interpretation of ecological integrity from a set of ecological measures that can be estimated from ecological inventory data.