Statistical Learning
Fine-grained Event Categorization with Heterogeneous Graph Convolutional Networks
Peng, Hao, Li, Jianxin, Gong, Qiran, Song, Yangqiu, Ning, Yuanxing, Lai, Kunfeng, Yu, Philip S.
Events are happening in real-world and real-time, which can be planned and organized occasions involving multiple people and objects. Social media platforms publish a lot of text messages containing public events with comprehensive topics. However, mining social events is challenging due to the heterogeneous event elements in texts and explicit and implicit social network structures. In this paper, we design an event meta-schema to characterize the semantic relatedness of social events and build an event-based heterogeneous information network (HIN) integrating information from external knowledge base, and propose a novel Pair-wise Popularity Graph Convolutional Network (PP-GCN) based fine-grained social event categorization model. We propose a Knowledgeable meta-paths Instances based social Event Similarity (KIES) between events and build a weighted adjacent matrix as input to the PP-GCN model. Comprehensive experiments on real data collections are conducted to compare various social event detection and clustering tasks. Experimental results demonstrate that our proposed framework outperforms other alternative social event categorization techniques.
Intrinsically Efficient, Stable, and Bounded Off-Policy Evaluation for Reinforcement Learning
Kallus, Nathan, Uehara, Masatoshi
Off-policy evaluation (OPE) in both contextual bandits and reinforcement learning allows one to evaluate novel decision policies without needing to conduct exploration, which is often costly or otherwise infeasible. The problem's importance has attracted many proposed solutions, including importance sampling (IS), self-normalized IS (SNIS), and doubly robust (DR) estimates. DR and its variants ensure semiparametric local efficiency if Q-functions are well-specified, but if they are not they can be worse than both IS and SNIS. It also does not enjoy SNIS's inherent stability and boundedness. We propose new estimators for OPE based on empirical likelihood that are always more efficient than IS, SNIS, and DR and satisfy the same stability and boundedness properties as SNIS. On the way, we categorize various properties and classify existing estimators by them. Besides the theoretical guarantees, empirical studies suggest the new estimators provide advantages.
A general solver to the elliptical mixture model through an approximate Wasserstein manifold
Li, Shengxi, Yu, Zeyang, Xiang, Min, Mandic, Danilo
This paper studies the problem of estimation for general finite mixture models, with a particular focus on the elliptical mixture models (EMMs). Instead of using the widely adopted Kullback-Leibler divergence, we provide a stable solution to the EMMs that is robust to initialisations and attains superior local optimum by adaptively optimising along a manifold of an approximate Wasserstein distance. More specifically, we first summarise computable and identifiable EMMs, in order to identify the optimisation problem. Due to a probability constraint, solving this problem is cumbersome and unstable, especially under the Wasserstein distance. We thus resort to an efficient optimisation on a statistical manifold defined under an approximate Wasserstein distance, which allows for explicit metrics and operations. This is shown to significantly stabilise and improve the EMM estimations. We also propose an adaptive method to further accelerate the convergence. Experimental results demonstrate excellent performances of the proposed solver.
Deep Batch Active Learning by Diverse, Uncertain Gradient Lower Bounds
Ash, Jordan T., Zhang, Chicheng, Krishnamurthy, Akshay, Langford, John, Agarwal, Alekh
We design a new algorithm for batch active learning with deep neural network models. Our algorithm, Batch Active learning by Diverse Gradient Embeddings (BADGE), samples groups of points that are disparate and high-magnitude when represented in a hallucinated gradient space, a strategy designed to incorporate both predictive uncertainty and sample diversity into every selected batch. Crucially, BADGE trades off between diversity and uncertainty without requiring any hand-tuned hyperparameters. We show that while other approaches sometimes succeed for particular batch sizes or architectures, BADGE consistently performs as well or better, making it a versatile option for practical active learning problems.
The Implicit Metropolis-Hastings Algorithm
Neklyudov, Kirill, Egorov, Evgenii, Vetrov, Dmitry
Recent works propose using the discriminator of a GAN to filter out unrealistic samples of the generator. We generalize these ideas by introducing the implicit Metropolis-Hastings algorithm. For any implicit probabilistic model and a target distribution represented by a set of samples, implicit Metropolis-Hastings operates by learning a discriminator to estimate the density-ratio and then generating a chain of samples. Since the approximation of density ratio introduces an error on every step of the chain, it is crucial to analyze the stationary distribution of such chain. For that purpose, we present a theoretical result stating that the discriminator loss upper bounds the total variation distance between the target distribution and the stationary distribution. Finally, we validate the proposed algorithm both for independent and Markov proposals on CIFAR-10 and CelebA datasets.
Distributed Learning with Random Features
Li, Jian, Liu, Yong, Wang, Weiping
Distributed learning and random projections are the most common techniques in large scale nonparametric statistical learning. In this paper, we study the generalization properties of kernel ridge regression using both distributed methods and random features. Theoretical analysis shows the combination remarkably reduces computational cost while preserving the optimal generalization accuracy under standard assumptions. In a benign case, $\mathcal{O}(\sqrt{N})$ partitions and $\mathcal{O}(\sqrt{N})$ random features are sufficient to achieve $\mathcal{O}(1/N)$ learning rate, where $N$ is the labeled sample size. Further, we derive more refined results by using additional unlabeled data to enlarge the number of partitions and by generating features in a data-dependent way to reduce the number of random features.
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Diabetes Prediction with Ensemble Techniques - DataScienceCentral.com
Till your good is better and better is best! ENSEMBLE Yes, the above quote is so true. We humans have ability to rate things and find some or the other matrices to measure things and evaluate them or their performances. Similarly, in Data Science you can measure your model’s accuracy and performance! The very first… Read More »Diabetes Prediction with Ensemble Techniques
Maximum Weighted Loss Discrepancy
Khani, Fereshte, Raghunathan, Aditi, Liang, Percy
Though machine learning algorithms excel at minimizing the average loss over a population, this might lead to large discrepancies between the losses across groups within the population. To capture this inequality, we introduce and study a notion we call maximum weighted loss discrepancy (MWLD), the maximum (weighted) difference between the loss of a group and the loss of the population. We relate MWLD to group fairness notions and robustness to demographic shifts. We then show MWLD satisfies the following three properties: 1) It is statistically impossible to estimate MWLD when all groups have equal weights. 2) For a particular family of weighting functions, we can estimate MWLD efficiently. 3) MWLD is related to loss variance, a quantity that arises in generalization bounds. We estimate MWLD with different weighting functions on four common datasets from the fairness literature. We finally show that loss variance regularization can halve the loss variance of a classifier and hence reduce MWLD without suffering a significant drop in accuracy.
Content Marketing and Machine Learning
"Content is king" - as the saying goes. It is true that content (that is, blog posts, articles and other digital content) helps marketers to reach a greater audience, however it is increasingly difficult to compete. There are just about 1 billion websites and blog out there (almost a website for every 7 person in the planet). While is still holds true that any successfull digital marketer should publish content, the question is not, whether content should be used, but how. Content should be: - up to date, that is, not 2 years old, but rather a week or few days old (which also helps Google and other search engines to rank the content higher) - Unique: Take SEO (Search Engine Optimisation) for example.