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3,700
DP-EM: Differentially Private Expectation Maximization
cs.LG
The iterative nature of the expectation maximization (EM) algorithm presents a challenge for privacy-preserving estimation, as each iteration increases the amount of noise needed. We propose a practical private EM algorithm that overcomes this challenge using two innovations: (1) a novel moment perturbation formulation...
computer science
3,701
Post-Inference Prior Swapping
stat.ML
While Bayesian methods are praised for their ability to incorporate useful prior knowledge, in practice, convenient priors that allow for computationally cheap or tractable inference are commonly used. In this paper, we investigate the following question: for a given model, is it possible to compute an inference result...
computer science
3,702
Active Ranking from Pairwise Comparisons and when Parametric Assumptions Don't Help
cs.LG
We consider sequential or active ranking of a set of n items based on noisy pairwise comparisons. Items are ranked according to the probability that a given item beats a randomly chosen item, and ranking refers to partitioning the items into sets of pre-specified sizes according to their scores. This notion of ranking ...
computer science
3,703
Understanding Deep Neural Networks with Rectified Linear Units
cs.LG
In this paper we investigate the family of functions representable by deep neural networks (DNN) with rectified linear units (ReLU). We give an algorithm to train a ReLU DNN with one hidden layer to *global optimality* with runtime polynomial in the data size albeit exponential in the input dimension. Further, we impro...
computer science
3,704
Learning to Invert: Signal Recovery via Deep Convolutional Networks
stat.ML
The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS to either non-real-time applications or scenarios where massive back-end comput...
computer science
3,705
Fast k-Nearest Neighbour Search via Prioritized DCI
cs.LG
Most exact methods for k-nearest neighbour search suffer from the curse of dimensionality; that is, their query times exhibit exponential dependence on either the ambient or the intrinsic dimensionality. Dynamic Continuous Indexing (DCI) offers a promising way of circumventing the curse and successfully reduces the dep...
computer science
3,706
Resilience: A Criterion for Learning in the Presence of Arbitrary Outliers
cs.LG
We introduce a criterion, resilience, which allows properties of a dataset (such as its mean or best low rank approximation) to be robustly computed, even in the presence of a large fraction of arbitrary additional data. Resilience is a weaker condition than most other properties considered so far in the literature, an...
computer science
3,707
Group invariance principles for causal generative models
stat.ML
The postulate of independence of cause and mechanism (ICM) has recently led to several new causal discovery algorithms. The interpretation of independence and the way it is utilized, however, varies across these methods. Our aim in this paper is to propose a group theoretic framework for ICM to unify and generalize the...
computer science
3,708
Finding Bottlenecks: Predicting Student Attrition with Unsupervised Classifier
stat.ML
With pressure to increase graduation rates and reduce time to degree in higher education, it is important to identify at-risk students early. Automated early warning systems are therefore highly desirable. In this paper, we use unsupervised clustering techniques to predict the graduation status of declared majors in fi...
computer science
3,709
Emotion in Reinforcement Learning Agents and Robots: A Survey
cs.LG
This article provides the first survey of computational models of emotion in reinforcement learning (RL) agents. The survey focuses on agent/robot emotions, and mostly ignores human user emotions. Emotions are recognized as functional in decision-making by influencing motivation and action selection. Therefore, computa...
computer science
3,710
The Sample Complexity of Online One-Class Collaborative Filtering
cs.LG
We consider the online one-class collaborative filtering (CF) problem that consists of recommending items to users over time in an online fashion based on positive ratings only. This problem arises when users respond only occasionally to a recommendation with a positive rating, and never with a negative one. We study t...
computer science
3,711
Weakly Submodular Maximization Beyond Cardinality Constraints: Does Randomization Help Greedy?
cs.DM
Submodular functions are a broad class of set functions, which naturally arise in diverse areas. Many algorithms have been suggested for the maximization of these functions. Unfortunately, once the function deviates from submodularity, the known algorithms may perform arbitrarily poorly. Amending this issue, by obtaini...
computer science
3,712
Worst-case vs Average-case Design for Estimation from Fixed Pairwise Comparisons
cs.LG
Pairwise comparison data arises in many domains, including tournament rankings, web search, and preference elicitation. Given noisy comparisons of a fixed subset of pairs of items, we study the problem of estimating the underlying comparison probabilities under the assumption of strong stochastic transitivity (SST). We...
computer science
3,713
Discretization-free Knowledge Gradient Methods for Bayesian Optimization
stat.ML
This paper studies Bayesian ranking and selection (R&S) problems with correlated prior beliefs and continuous domains, i.e. Bayesian optimization (BO). Knowledge gradient methods [Frazier et al., 2008, 2009] have been widely studied for discrete R&S problems, which sample the one-step Bayes-optimal point. When used ove...
computer science
3,714
CausalGAN: Learning Causal Implicit Generative Models with Adversarial Training
cs.LG
We propose an adversarial training procedure for learning a causal implicit generative model for a given causal graph. We show that adversarial training can be used to learn a generative model with true observational and interventional distributions if the generator architecture is consistent with the given causal grap...
computer science
3,715
Guided Deep Reinforcement Learning for Swarm Systems
cs.MA
In this paper, we investigate how to learn to control a group of cooperative agents with limited sensing capabilities such as robot swarms. The agents have only very basic sensor capabilities, yet in a group they can accomplish sophisticated tasks, such as distributed assembly or search and rescue tasks. Learning a pol...
computer science
3,716
Model-Powered Conditional Independence Test
stat.ML
We consider the problem of non-parametric Conditional Independence testing (CI testing) for continuous random variables. Given i.i.d samples from the joint distribution $f(x,y,z)$ of continuous random vectors $X,Y$ and $Z,$ we determine whether $X \perp Y | Z$. We approach this by converting the conditional independenc...
computer science
3,717
Enhanced Quantum Synchronization via Quantum Machine Learning
cs.AI
We study the quantum synchronization between a pair of two-level systems inside two coupledcavities. Using a digital-analog decomposition of the master equation that rules the system dynamics, we show that this approach leads to quantum synchronization between both two-level systems. Moreover, we can identify in this d...
computer science
3,718
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
cs.AI
We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this two part treatise, we present our developments in the context of solving two main classes ...
computer science
3,719
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations
cs.AI
We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this second part of our two-part treatise, we focus on the problem of data-driven discovery of ...
computer science
3,720
The information bottleneck and geometric clustering
stat.ML
The information bottleneck (IB) approach to clustering takes a joint distribution $P\!\left(X,Y\right)$ and maps the data $X$ to cluster labels $T$ which retain maximal information about $Y$ (Tishby et al., 1999). This objective results in an algorithm that clusters data points based upon the similarity of their condit...
computer science
3,721
Fairness in Supervised Learning: An Information Theoretic Approach
cs.LG
Automated decision making systems are increasingly being used in real-world applications. In these systems for the most part, the decision rules are derived by minimizing the training error on the available historical data. Therefore, if there is a bias related to a sensitive attribute such as gender, race, religion, e...
computer science
3,722
Expectation Learning for Adaptive Crossmodal Stimuli Association
cs.LG
The human brain is able to learn, generalize, and predict crossmodal stimuli. Learning by expectation fine-tunes crossmodal processing at different levels, thus enhancing our power of generalization and adaptation in highly dynamic environments. In this paper, we propose a deep neural architecture trained by using expe...
computer science
3,723
Counting and Uniform Sampling from Markov Equivalent DAGs
cs.DS
We propose an exact solution for the problem of finding the size of a Markov equivalence class (MEC). For the bounded degree graphs, the proposed solution is capable of computing the size of the MEC in polynomial time. Our proposed approach is based on a recursive method for counting the number of the elements of the M...
computer science
3,724
Identifiability of Nonparametric Mixture Models and Bayes Optimal Clustering
math.ST
Motivated by problems in data clustering, we establish general conditions under which families of nonparametric mixture models are identifiable by introducing a novel framework for clustering overfitted \emph{parametric} (i.e. misspecified) mixture models. These conditions generalize existing conditions in the literatu...
computer science
3,725
Fully Decentralized Multi-Agent Reinforcement Learning with Networked Agents
cs.LG
We consider the problem of \emph{fully decentralized} multi-agent reinforcement learning (MARL), where the agents are located at the nodes of a time-varying communication network. Specifically, we assume that the reward functions of the agents might correspond to different tasks, and are only known to the corresponding...
computer science
3,726
Inverse Reinforcement Learning via Nonparametric Spatio-Temporal Subgoal Modeling
cs.LG
Recent advances in the field of inverse reinforcement learning (IRL) have yielded sophisticated frameworks which relax the original modeling assumption that the behavior of an observed agent reflects only a single intention. Instead, the demonstration data is typically divided into parts, to account for the fact that d...
computer science
3,727
WNGrad: Learn the Learning Rate in Gradient Descent
stat.ML
Adjusting the learning rate schedule in stochastic gradient methods is an important unresolved problem which requires tuning in practice. If certain parameters of the loss function such as smoothness or strong convexity constants are known, theoretical learning rate schedules can be applied. However, in practice, such ...
computer science
3,728
Measurement-based adaptation protocol with quantum reinforcement learning
cs.AI
Machine learning employs dynamical algorithms that mimic the human capacity to learn, where the reinforcement learning ones are among the most similar to humans in this respect. On the other hand, adaptability is an essential aspect to perform any task efficiently in a changing environment, and it is fundamental for ma...
computer science
3,729
Vulnerability of Deep Learning
stat.ML
The Renormalisation Group (RG) provides a framework in which it is possible to assess whether a deep-learning network is sensitive to small changes in the input data and hence prone to error, or susceptible to adversarial attack. Distinct classification outputs are associated with different RG fixed points and sensitiv...
computer science
3,730
Information Theoretic Interpretation of Deep learning
cs.LG
We interpret part of the experimental results of Shwartz-Ziv and Tishby [2017]. Inspired by these results, we established a conjecture of the dynamics of the machinary of deep neural network. This conjecture can be used to explain the counterpart result by Saxe et al. [2018].
computer science
3,731
Doubly Robust Policy Evaluation and Learning
cs.LG
We study decision making in environments where the reward is only partially observed, but can be modeled as a function of an action and an observed context. This setting, known as contextual bandits, encompasses a wide variety of applications including health-care policy and Internet advertising. A central task is eval...
computer science
3,732
Automorphism Groups of Graphical Models and Lifted Variational Inference
cs.AI
Using the theory of group action, we first introduce the concept of the automorphism group of an exponential family or a graphical model, thus formalizing the general notion of symmetry of a probabilistic model. This automorphism group provides a precise mathematical framework for lifted inference in the general expone...
computer science
3,733
An Analysis of Active Learning With Uniform Feature Noise
stat.ML
In active learning, the user sequentially chooses values for feature $X$ and an oracle returns the corresponding label $Y$. In this paper, we consider the effect of feature noise in active learning, which could arise either because $X$ itself is being measured, or it is corrupted in transmission to the oracle, or the o...
computer science
3,734
Variational Algorithms for Marginal MAP
cs.LG
Marginal MAP problems are notoriously difficult tasks for graphical models. We derive a general variational framework for solving marginal MAP problems, in which we apply analogues of the Bethe, tree-reweighted, and mean field approximations. We then derive a "mixed" message passing algorithm and a convergent alternati...
computer science
3,735
Statistical-mechanical analysis of pre-training and fine tuning in deep learning
stat.ML
In this paper, we present a statistical-mechanical analysis of deep learning. We elucidate some of the essential components of deep learning---pre-training by unsupervised learning and fine tuning by supervised learning. We formulate the extraction of features from the training data as a margin criterion in a high-dime...
computer science
3,736
Bayesian Poisson Tensor Factorization for Inferring Multilateral Relations from Sparse Dyadic Event Counts
stat.ML
We present a Bayesian tensor factorization model for inferring latent group structures from dynamic pairwise interaction patterns. For decades, political scientists have collected and analyzed records of the form "country $i$ took action $a$ toward country $j$ at time $t$"---known as dyadic events---in order to form an...
computer science
3,737
Simple, Robust and Optimal Ranking from Pairwise Comparisons
cs.LG
We consider data in the form of pairwise comparisons of n items, with the goal of precisely identifying the top k items for some value of k < n, or alternatively, recovering a ranking of all the items. We analyze the Copeland counting algorithm that ranks the items in order of the number of pairwise comparisons won, an...
computer science
3,738
Bayesian Poisson Tucker Decomposition for Learning the Structure of International Relations
stat.ML
We introduce Bayesian Poisson Tucker decomposition (BPTD) for modeling country--country interaction event data. These data consist of interaction events of the form "country $i$ took action $a$ toward country $j$ at time $t$." BPTD discovers overlapping country--community memberships, including the number of latent com...
computer science
3,739
A Permutation-based Model for Crowd Labeling: Optimal Estimation and Robustness
cs.LG
The aggregation and denoising of crowd labeled data is a task that has gained increased significance with the advent of crowdsourcing platforms and massive datasets. In this paper, we propose a permutation-based model for crowd labeled data that is a significant generalization of the common Dawid-Skene model, and intro...
computer science
3,740
Lazily Adapted Constant Kinky Inference for Nonparametric Regression and Model-Reference Adaptive Control
math.OC
Techniques known as Nonlinear Set Membership prediction, Lipschitz Interpolation or Kinky Inference are approaches to machine learning that utilise presupposed Lipschitz properties to compute inferences over unobserved function values. Provided a bound on the true best Lipschitz constant of the target function is known...
computer science
3,741
Deep Probabilistic Programming
stat.ML
We propose Edward, a Turing-complete probabilistic programming language. Edward defines two compositional representations---random variables and inference. By treating inference as a first class citizen, on a par with modeling, we show that probabilistic programming can be as flexible and computationally efficient as t...
computer science
3,742
Stochastic Variance Reduction Methods for Policy Evaluation
cs.LG
Policy evaluation is a crucial step in many reinforcement-learning procedures, which estimates a value function that predicts states' long-term value under a given policy. In this paper, we focus on policy evaluation with linear function approximation over a fixed dataset. We first transform the empirical policy evalua...
computer science
3,743
Machine Teaching: A New Paradigm for Building Machine Learning Systems
cs.LG
The current processes for building machine learning systems require practitioners with deep knowledge of machine learning. This significantly limits the number of machine learning systems that can be created and has led to a mismatch between the demand for machine learning systems and the ability for organizations to b...
computer science
3,744
A Spectral Method for Activity Shaping in Continuous-Time Information Cascades
stat.ML
Information Cascades Model captures dynamical properties of user activity in a social network. In this work, we develop a novel framework for activity shaping under the Continuous-Time Information Cascades Model which allows the administrator for local control actions by allocating targeted resources that can alter the...
computer science
3,745
Learning Complex Swarm Behaviors by Exploiting Local Communication Protocols with Deep Reinforcement Learning
cs.MA
Swarm systems constitute a challenging problem for reinforcement learning (RL) as the algorithm needs to learn decentralized control policies that can cope with limited local sensing and communication abilities of the agents. Although there have been recent advances of deep RL algorithms applied to multi-agent systems,...
computer science
3,746
Fast Meta-Learning for Adaptive Hierarchical Classifier Design
cs.LG
We propose a new splitting criterion for a meta-learning approach to multiclass classifier design that adaptively merges the classes into a tree-structured hierarchy of increasingly difficult binary classification problems. The classification tree is constructed from empirical estimates of the Henze-Penrose bounds on t...
computer science
3,747
Approximate Ranking from Pairwise Comparisons
cs.LG
A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the top-k items as the most prominent special case. The score of a given item is defi...
computer science
3,748
Deep Learning and Data Assimilation for Real-Time Production Prediction in Natural Gas Wells
cs.LG
The prediction of the gas production from mature gas wells, due to their complex end-of-life behavior, is challenging and crucial for operational decision making. In this paper, we apply a modified deep LSTM model for prediction of the gas flow rates in mature gas wells, including the uncertainties in input parameters....
computer science
3,749
Scaling-up Split-Merge MCMC with Locality Sensitive Sampling (LSS)
cs.LG
Split-Merge MCMC (Monte Carlo Markov Chain) is one of the essential and popular variants of MCMC for problems when an MCMC state consists of an unknown number of components. It is well known that state-of-the-art methods for split-merge MCMC do not scale well. Strategies for rapid mixing requires smart and informative ...
computer science
3,750
Contextual Bandits with Stochastic Experts
stat.ML
We consider the problem of contextual bandits with stochastic experts, which is a variation of the traditional stochastic contextual bandit with experts problem. In our problem setting, we assume access to a class of stochastic experts, where each expert is a conditional distribution over the arms given a context. We p...
computer science
3,751
A Discipline of Evolutionary Programming
cs.NE
Genetic fitness optimization using small populations or small population updates across generations generally suffers from randomly diverging evolutions. We propose a notion of highly probable fitness optimization through feasible evolutionary computing runs on small size populations. Based on rapidly mixing Markov cha...
computer science
3,752
Cross-Entropic Learning of a Machine for the Decision in a Partially Observable Universe
math.OC
Revision of the paper previously entitled "Learning a Machine for the Decision in a Partially Observable Markov Universe" In this paper, we are interested in optimal decisions in a partially observable universe. Our approach is to directly approximate an optimal strategic tree depending on the observation. This approxi...
computer science
3,753
Efficient Methods for Unsupervised Learning of Probabilistic Models
cs.LG
In this thesis I develop a variety of techniques to train, evaluate, and sample from intractable and high dimensional probabilistic models. Abstract exceeds arXiv space limitations -- see PDF.
computer science
3,754
Estimating mutual information and multi--information in large networks
cs.IT
We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show that reliable estimates of mutual information can be obtained with manageable computational effort. The same methods allow estimation of high...
computer science
3,755
Multi-Modal Human-Machine Communication for Instructing Robot Grasping Tasks
cs.HC
A major challenge for the realization of intelligent robots is to supply them with cognitive abilities in order to allow ordinary users to program them easily and intuitively. One way of such programming is teaching work tasks by interactive demonstration. To make this effective and convenient for the user, the machine...
computer science
3,756
Evidence Feed Forward Hidden Markov Model: A New Type of Hidden Markov Model
cs.AI
The ability to predict the intentions of people based solely on their visual actions is a skill only performed by humans and animals. The intelligence of current computer algorithms has not reached this level of complexity, but there are several research efforts that are working towards it. With the number of classific...
computer science
3,757
Comparative Study and Optimization of Feature-Extraction Techniques for Content based Image Retrieval
cs.CV
The aim of a Content-Based Image Retrieval (CBIR) system, also known as Query by Image Content (QBIC), is to help users to retrieve relevant images based on their contents. CBIR technologies provide a method to find images in large databases by using unique descriptors from a trained image. The image descriptors includ...
computer science
3,758
Improving Semantic Embedding Consistency by Metric Learning for Zero-Shot Classification
cs.CV
This paper addresses the task of zero-shot image classification. The key contribution of the proposed approach is to control the semantic embedding of images -- one of the main ingredients of zero-shot learning -- by formulating it as a metric learning problem. The optimized empirical criterion associates two types of ...
computer science
3,759
Modular Deep Q Networks for Sim-to-real Transfer of Visuo-motor Policies
cs.RO
While deep learning has had significant successes in computer vision thanks to the abundance of visual data, collecting sufficiently large real-world datasets for robot learning can be costly. To increase the practicality of these techniques on real robots, we propose a modular deep reinforcement learning method capabl...
computer science
3,760
CBinfer: Change-Based Inference for Convolutional Neural Networks on Video Data
cs.CV
Extracting per-frame features using convolutional neural networks for real-time processing of video data is currently mainly performed on powerful GPU-accelerated workstations and compute clusters. However, there are many applications such as smart surveillance cameras that require or would benefit from on-site process...
computer science
3,761
Tuning Modular Networks with Weighted Losses for Hand-Eye Coordination
cs.RO
This paper introduces an end-to-end fine-tuning method to improve hand-eye coordination in modular deep visuo-motor policies (modular networks) where each module is trained independently. Benefiting from weighted losses, the fine-tuning method significantly improves the performance of the policies for a robotic planar ...
computer science
3,762
Acting Thoughts: Towards a Mobile Robotic Service Assistant for Users with Limited Communication Skills
cs.AI
As autonomous service robots become more affordable and thus available also for the general public, there is a growing need for user friendly interfaces to control the robotic system. Currently available control modalities typically expect users to be able to express their desire through either touch, speech or gesture...
computer science
3,763
Sim-to-real Transfer of Visuo-motor Policies for Reaching in Clutter: Domain Randomization and Adaptation with Modular Networks
cs.RO
A modular method is proposed to learn and transfer visuo-motor policies from simulation to the real world in an efficient manner by combining domain randomization and adaptation. The feasibility of the approach is demonstrated in a table-top object reaching task where a 7 DoF arm is controlled in velocity mode to reach...
computer science
3,764
MINOS: Multimodal Indoor Simulator for Navigation in Complex Environments
cs.LG
We present MINOS, a simulator designed to support the development of multisensory models for goal-directed navigation in complex indoor environments. The simulator leverages large datasets of complex 3D environments and supports flexible configuration of multimodal sensor suites. We use MINOS to benchmark deep-learning...
computer science
3,765
On the Stability of Deep Networks
stat.ML
In this work we study the properties of deep neural networks (DNN) with random weights. We formally prove that these networks perform a distance-preserving embedding of the data. Based on this we then draw conclusions on the size of the training data and the networks' structure. A longer version of this paper with more...
computer science
3,766
Gradient descent with identity initialization efficiently learns positive definite linear transformations by deep residual networks
cs.LG
We analyze algorithms for approximating a function $f(x) = \Phi x$ mapping $\Re^d$ to $\Re^d$ using deep linear neural networks, i.e. that learn a function $h$ parameterized by matrices $\Theta_1,...,\Theta_L$ and defined by $h(x) = \Theta_L \Theta_{L-1} ... \Theta_1 x$. We focus on algorithms that learn through gradie...
computer science
3,767
An Exponential Lower Bound on the Complexity of Regularization Paths
cs.LG
For a variety of regularized optimization problems in machine learning, algorithms computing the entire solution path have been developed recently. Most of these methods are quadratic programs that are parameterized by a single parameter, as for example the Support Vector Machine (SVM). Solution path algorithms do not ...
computer science
3,768
The Cyborg Astrobiologist: Testing a Novelty-Detection Algorithm on Two Mobile Exploration Systems at Rivas Vaciamadrid in Spain and at the Mars Desert Research Station in Utah
cs.CV
(ABRIDGED) In previous work, two platforms have been developed for testing computer-vision algorithms for robotic planetary exploration (McGuire et al. 2004b,2005; Bartolo et al. 2007). The wearable-computer platform has been tested at geological and astrobiological field sites in Spain (Rivas Vaciamadrid and Riba de S...
computer science
3,769
Tracking Tetrahymena Pyriformis Cells using Decision Trees
cs.CV
Matching cells over time has long been the most difficult step in cell tracking. In this paper, we approach this problem by recasting it as a classification problem. We construct a feature set for each cell, and compute a feature difference vector between a cell in the current frame and a cell in a previous frame. Then...
computer science
3,770
Self-Expressive Decompositions for Matrix Approximation and Clustering
cs.IT
Data-aware methods for dimensionality reduction and matrix decomposition aim to find low-dimensional structure in a collection of data. Classical approaches discover such structure by learning a basis that can efficiently express the collection. Recently, "self expression", the idea of using a small subset of data vect...
computer science
3,771
Sequential Dimensionality Reduction for Extracting Localized Features
cs.CV
Linear dimensionality reduction techniques are powerful tools for image analysis as they allow the identification of important features in a data set. In particular, nonnegative matrix factorization (NMF) has become very popular as it is able to extract sparse, localized and easily interpretable features by imposing an...
computer science
3,772
Nonparametric Basis Pursuit via Sparse Kernel-based Learning
cs.LG
Signal processing tasks as fundamental as sampling, reconstruction, minimum mean-square error interpolation and prediction can be viewed under the prism of reproducing kernel Hilbert spaces. Endowing this vantage point with contemporary advances in sparsity-aware modeling and processing, promotes the nonparametric basi...
computer science
3,773
Key point selection and clustering of swimmer coordination through Sparse Fisher-EM
stat.ML
To answer the existence of optimal swimmer learning/teaching strategies, this work introduces a two-level clustering in order to analyze temporal dynamics of motor learning in breaststroke swimming. Each level have been performed through Sparse Fisher-EM, a unsupervised framework which can be applied efficiently on lar...
computer science
3,774
Voxelwise nonlinear regression toolbox for neuroimage analysis: Application to aging and neurodegenerative disease modeling
stat.ML
This paper describes a new neuroimaging analysis toolbox that allows for the modeling of nonlinear effects at the voxel level, overcoming limitations of methods based on linear models like the GLM. We illustrate its features using a relevant example in which distinct nonlinear trajectories of Alzheimer's disease relate...
computer science
3,775
Forest Sparsity for Multi-channel Compressive Sensing
cs.LG
In this paper, we investigate a new compressive sensing model for multi-channel sparse data where each channel can be represented as a hierarchical tree and different channels are highly correlated. Therefore, the full data could follow the forest structure and we call this property as \emph{forest sparsity}. It exploi...
computer science
3,776
Feature Selection with Annealing for Computer Vision and Big Data Learning
stat.ML
Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint by gradually removing variables based on a criterion and a schedule. The attract...
computer science
3,777
Stochastic Gradient Descent, Weighted Sampling, and the Randomized Kaczmarz algorithm
math.NA
We obtain an improved finite-sample guarantee on the linear convergence of stochastic gradient descent for smooth and strongly convex objectives, improving from a quadratic dependence on the conditioning $(L/\mu)^2$ (where $L$ is a bound on the smoothness and $\mu$ on the strong convexity) to a linear dependence on $L/...
computer science
3,778
Bayesian image segmentations by Potts prior and loopy belief propagation
cs.CV
This paper presents a Bayesian image segmentation model based on Potts prior and loopy belief propagation. The proposed Bayesian model involves several terms, including the pairwise interactions of Potts models, and the average vectors and covariant matrices of Gauss distributions in color image modeling. These terms a...
computer science
3,779
Analyzing sparse dictionaries for online learning with kernels
stat.ML
Many signal processing and machine learning methods share essentially the same linear-in-the-parameter model, with as many parameters as available samples as in kernel-based machines. Sparse approximation is essential in many disciplines, with new challenges emerging in online learning with kernels. To this end, severa...
computer science
3,780
Clustering multi-way data: a novel algebraic approach
cs.LG
In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union of subspaces into their respective subspaces, and the t-product [18], which was ...
computer science
3,781
Scalable Multi-Output Label Prediction: From Classifier Chains to Classifier Trellises
stat.ML
Multi-output inference tasks, such as multi-label classification, have become increasingly important in recent years. A popular method for multi-label classification is classifier chains, in which the predictions of individual classifiers are cascaded along a chain, thus taking into account inter-label dependencies and...
computer science
3,782
Generalized Majorization-Minimization
cs.CV
Non-convex optimization is ubiquitous in machine learning. The Majorization-Minimization (MM) procedure systematically optimizes non-convex functions through an iterative construction and optimization of upper bounds on the objective function. The bound at each iteration is required to \emph{touch} the objective functi...
computer science
3,783
Online Learning to Sample
cs.LG
Stochastic Gradient Descent (SGD) is one of the most widely used techniques for online optimization in machine learning. In this work, we accelerate SGD by adaptively learning how to sample the most useful training examples at each time step. First, we show that SGD can be used to learn the best possible sampling distr...
computer science
3,784
Mining Brain Networks using Multiple Side Views for Neurological Disorder Identification
cs.LG
Mining discriminative subgraph patterns from graph data has attracted great interest in recent years. It has a wide variety of applications in disease diagnosis, neuroimaging, etc. Most research on subgraph mining focuses on the graph representation alone. However, in many real-world applications, the side information ...
computer science
3,785
Gaussian Mixture Reduction Using Reverse Kullback-Leibler Divergence
stat.ML
We propose a greedy mixture reduction algorithm which is capable of pruning mixture components as well as merging them based on the Kullback-Leibler divergence (KLD). The algorithm is distinct from the well-known Runnalls' KLD based method since it is not restricted to merging operations. The capability of pruning (in ...
computer science
3,786
Coordinate Descent Methods for Symmetric Nonnegative Matrix Factorization
cs.NA
Given a symmetric nonnegative matrix $A$, symmetric nonnegative matrix factorization (symNMF) is the problem of finding a nonnegative matrix $H$, usually with much fewer columns than $A$, such that $A \approx HH^T$. SymNMF can be used for data analysis and in particular for various clustering tasks. In this paper, we p...
computer science
3,787
Robust Classification by Pre-conditioned LASSO and Transductive Diffusion Component Analysis
cs.LG
Modern machine learning-based recognition approaches require large-scale datasets with large number of labelled training images. However, such datasets are inherently difficult and costly to collect and annotate. Hence there is a great and growing interest in automatic dataset collection methods that can leverage the w...
computer science
3,788
A Short Survey on Data Clustering Algorithms
cs.DS
With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial analysis. Formally speaking, given a set of data instances, a clustering algorith...
computer science
3,789
Clustering by Deep Nearest Neighbor Descent (D-NND): A Density-based Parameter-Insensitive Clustering Method
stat.ML
Most density-based clustering methods largely rely on how well the underlying density is estimated. However, density estimation itself is also a challenging problem, especially the determination of the kernel bandwidth. A large bandwidth could lead to the over-smoothed density estimation in which the number of density ...
computer science
3,790
Multilinear Subspace Clustering
cs.IT
In this paper we present a new model and an algorithm for unsupervised clustering of 2-D data such as images. We assume that the data comes from a union of multilinear subspaces (UOMS) model, which is a specific structured case of the much studied union of subspaces (UOS) model. For segmentation under this model, we de...
computer science
3,791
How many faces can be recognized? Performance extrapolation for multi-class classification
stat.ML
The difficulty of multi-class classification generally increases with the number of classes. Using data from a subset of the classes, can we predict how well a classifier will scale with an increased number of classes? Under the assumption that the classes are sampled exchangeably, and under the assumption that the cla...
computer science
3,792
Dense Associative Memory is Robust to Adversarial Inputs
cs.LG
Deep neural networks (DNN) trained in a supervised way suffer from two known problems. First, the minima of the objective function used in learning correspond to data points (also known as rubbish examples or fooling images) that lack semantic similarity with the training data. Second, a clean input can be changed by a...
computer science
3,793
Online Robust Principal Component Analysis with Change Point Detection
cs.LG
Robust PCA methods are typically batch algorithms which requires loading all observations into memory before processing. This makes them inefficient to process big data. In this paper, we develop an efficient online robust principal component methods, namely online moving window robust principal component analysis (OMW...
computer science
3,794
Introduction to Nonnegative Matrix Factorization
cs.NA
In this paper, we introduce and provide a short overview of nonnegative matrix factorization (NMF). Several aspects of NMF are discussed, namely, the application in hyperspectral imaging, geometry and uniqueness of NMF solutions, complexity, algorithms, and its link with extended formulations of polyhedra. In order to ...
computer science
3,795
Faster Coordinate Descent via Adaptive Importance Sampling
cs.LG
Coordinate descent methods employ random partial updates of decision variables in order to solve huge-scale convex optimization problems. In this work, we introduce new adaptive rules for the random selection of their updates. By adaptive, we mean that our selection rules are based on the dual residual or the primal-du...
computer science
3,796
Perspective: Energy Landscapes for Machine Learning
stat.ML
Machine learning techniques are being increasingly used as flexible non-linear fitting and prediction tools in the physical sciences. Fitting functions that exhibit multiple solutions as local minima can be analysed in terms of the corresponding machine learning landscape. Methods to explore and visualise molecular pot...
computer science
3,797
Subspace Clustering via Optimal Direction Search
cs.CV
This letter presents a new spectral-clustering-based approach to the subspace clustering problem. Underpinning the proposed method is a convex program for optimal direction search, which for each data point d finds an optimal direction in the span of the data that has minimum projection on the other data points and non...
computer science
3,798
Deep Convolutional Framelets: A General Deep Learning Framework for Inverse Problems
stat.ML
Recently, deep learning approaches with various network architectures have achieved significant performance improvement over existing iterative reconstruction methods in various imaging problems. However, it is still unclear why these deep learning architectures work for specific inverse problems. To address these issu...
computer science
3,799
Exact Tensor Completion from Sparsely Corrupted Observations via Convex Optimization
cs.LG
This paper conducts a rigorous analysis for provable estimation of multidimensional arrays, in particular third-order tensors, from a random subset of its corrupted entries. Our study rests heavily on a recently proposed tensor algebraic framework in which we can obtain tensor singular value decomposition (t-SVD) that ...
computer science