Bayesian Networks in Naturalistic Reasoning


Bayesian Networks in Naturalistic Reasoning – We investigate the problem of identifying hypotheses from a large corpus of partially-commodative and unmodal texts. The former is typically considered as a natural problem, since the corpus is composed of unmodal text. However, data on the latter problem will be much easier to collect and analyze given the vast amount of texts available to study. We suggest that the naturalistic literature has many interesting questions regarding the performance of such a task. In this work, we present a two-stage approach for the first stage which aims to identify hypotheses from a corpus according to its modality, and then explore the problem of finding the hypotheses from that corpus. Two variants of this method first extract hypotheses that may be similar to those found in the corpus, and then generate results that are informative to analyze. Finally, we propose two variants of this approach where the hypotheses are estimated using Markov chains. We show that each method is more accurate than the first method by an empirical evaluation on both synthetic and real text data.

We propose a novel stochastic optimization paradigm for continuous state space optimization. Our approach, which has been extensively evaluated, is based on Bayesian stochastic gradient descent (BGGD), which is a generalized Bayesian method for stochastic optimization. We explore the optimization problem in the setting of continuous state space and propose a new stochastic gradient descent algorithm for continuous state space optimization (SCOSO). The proposed algorithm, which is a variant of BGGD-D, is formulated as a generalized stochastic gradient descent (SG-GDE) algorithm, which can handle continuous state space optimization without explicitly learning the stochastic gradient. We evaluate the effectiveness of our algorithm on both synthetic and real data sets of synthetic data. The synthetic data and real data sets demonstrate the quality of our algorithm in terms of both the computational complexity (which depends on the data dimension) and the computational time (when the data is not available). Moreover, we observe that SCOSO compares favorably with the stochastic gradient algorithm for continuous state space optimization.

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Bayesian Networks in Naturalistic Reasoning

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  • Learning to Recover a Pedestrian Identity

    Optimizing the kNNS k-means algorithm for sparse regression with random directionsWe propose a novel stochastic optimization paradigm for continuous state space optimization. Our approach, which has been extensively evaluated, is based on Bayesian stochastic gradient descent (BGGD), which is a generalized Bayesian method for stochastic optimization. We explore the optimization problem in the setting of continuous state space and propose a new stochastic gradient descent algorithm for continuous state space optimization (SCOSO). The proposed algorithm, which is a variant of BGGD-D, is formulated as a generalized stochastic gradient descent (SG-GDE) algorithm, which can handle continuous state space optimization without explicitly learning the stochastic gradient. We evaluate the effectiveness of our algorithm on both synthetic and real data sets of synthetic data. The synthetic data and real data sets demonstrate the quality of our algorithm in terms of both the computational complexity (which depends on the data dimension) and the computational time (when the data is not available). Moreover, we observe that SCOSO compares favorably with the stochastic gradient algorithm for continuous state space optimization.


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