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We propose the Sobolev Independence Criterion (SIC), an interpretable dependency measure between a high dimensional random variable X and a response variable Y . SIC decomposes to the sum of feature importance scores and hence can be used…

Machine Learning · Computer Science 2019-11-01 Youssef Mroueh , Tom Sercu , Mattia Rigotti , Inkit Padhi , Cicero Dos Santos

The reconstruction of gap-free signals from observation data is a critical challenge for numerous application domains, such as geoscience and space-based earth observation, when the available sensors or the data collection processes lead to…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Maxime Beauchamp , Joseph Thompson , Hugo Georgenthum , Quentin Febvre , Ronan Fablet

Evaluating robustness of machine-learning models to adversarial examples is a challenging problem. Many defenses have been shown to provide a false sense of robustness by causing gradient-based attacks to fail, and they have been broken…

Machine Learning · Computer Science 2022-10-12 Maura Pintor , Luca Demetrio , Angelo Sotgiu , Ambra Demontis , Nicholas Carlini , Battista Biggio , Fabio Roli

The framework of Integral Quadratic Constraints (IQCs) is used to perform an analysis of gradient descent with varying step sizes. Two performance metrics are considered: convergence rate and noise amplification. We assume that the step…

Optimization and Control · Mathematics 2025-05-13 Ram Padmanabhan , Peter Seiler

Sparse coding is typically solved by iterative optimization techniques, such as the Iterative Shrinkage-Thresholding Algorithm (ISTA). Unfolding and learning weights of ISTA using neural networks is a practical way to accelerate estimation.…

Machine Learning · Statistics 2019-05-28 Pierre Ablin , Thomas Moreau , Mathurin Massias , Alexandre Gramfort

Imitation learning has achieved great success in many sequential decision-making tasks, in which a neural agent is learned by imitating collected human demonstrations. However, existing algorithms typically require a large number of…

Machine Learning · Computer Science 2023-06-14 Tianxiang Zhao , Wenchao Yu , Suhang Wang , Lu Wang , Xiang Zhang , Yuncong Chen , Yanchi Liu , Wei Cheng , Haifeng Chen

We consider the problem of simultaneously learning to linearly combine a very large number of kernels and learn a good predictor based on the learnt kernel. When the number of kernels $d$ to be combined is very large, multiple kernel…

Machine Learning · Computer Science 2015-03-20 Arash Afkanpour , András György , Csaba Szepesvári , Michael Bowling

Stochastic gradient algorithms have been the main focus of large-scale learning problems and they led to important successes in machine learning. The convergence of SGD depends on the careful choice of learning rate and the amount of the…

Machine Learning · Computer Science 2015-11-03 Caglar Gulcehre , Marcin Moczulski , Yoshua Bengio

We present an approach for building an active agent that learns to segment its visual observations into individual objects by interacting with its environment in a completely self-supervised manner. The agent uses its current segmentation…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 Deepak Pathak , Yide Shentu , Dian Chen , Pulkit Agrawal , Trevor Darrell , Sergey Levine , Jitendra Malik

The Ising model, originally developed as a spin-glass model for ferromagnetic elements, has gained popularity as a network-based model for capturing dependencies in agents' outputs. Its increasing adoption in healthcare and the social…

Methodology · Statistics 2024-01-31 Abhinav Chakraborty , Anirban Chatterjee , Abhinandan Dalal

We characterize the effectiveness of a classical algorithm for recovering the Markov graph of a general discrete pairwise graphical model from i.i.d. samples. The algorithm is (appropriately regularized) maximum conditional log-likelihood,…

Machine Learning · Computer Science 2019-06-20 Shanshan Wu , Sujay Sanghavi , Alexandros G. Dimakis

Given samples from an unknown multivariate distribution $p$, is it possible to distinguish whether $p$ is the product of its marginals versus $p$ being far from every product distribution? Similarly, is it possible to distinguish whether…

Data Structures and Algorithms · Computer Science 2019-07-12 Constantinos Daskalakis , Nishanth Dikkala , Gautam Kamath

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang

Many tasks in our modern life, such as planning an efficient travel, image processing and optimizing integrated circuit design, are modeled as complex combinatorial optimization problems with binary variables. Such problems can be mapped to…

Gradient matching is a promising tool for learning parameters and state dynamics of ordinary differential equations. It is a grid free inference approach, which, for fully observable systems is at times competitive with numerical…

Machine Learning · Statistics 2018-04-11 Nico S. Gorbach , Stefan Bauer , Joachim M. Buhmann

Optimal MIMO detection has been one of the most challenging and computationally inefficient tasks in wireless systems. We show that the new analog computing techniques like Coherent Ising Machines (CIM) are promising candidates for…

Networking and Internet Architecture · Computer Science 2024-09-06 Abhishek Kumar Singh , Kyle Jamieson , Davide Venturelli , Peter McMahon

Most instance segmentation models are not end-to-end trainable due to either the incorporation of proposal estimation (RPN) as a pre-processing or non-maximum suppression (NMS) as a post-processing. Here we propose a novel end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Kaining Ying , Zhenhua Wang , Cong Bai , Pengfei Zhou

We give a new consistent scoring function for structure learning of Bayesian networks. In contrast to traditional approaches to score-based structure learning, such as BDeu or MDL, the complexity penalty that we propose is data-dependent…

Machine Learning · Computer Science 2015-05-13 Eliot Brenner , David Sontag

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Common problem in signal processing is reconstruction of the missing signal samples. Missing samples can occur by intentionally omitting signal coefficients to reduce memory requirements, or to speed up the transmission process. Also, noisy…

Information Theory · Computer Science 2015-03-02 Slavoljub Jokić , Ljindita Niković , Jelena Kadović