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We study the problem of learning a mixture of multiple linear dynamical systems (LDSs) from unlabeled short sample trajectories, each generated by one of the LDS models. Despite the wide applicability of mixture models for time-series data,…

Machine Learning · Statistics 2022-05-26 Yanxi Chen , H. Vincent Poor

Learning good representations without supervision is still an open issue in machine learning, and is particularly challenging for speech signals, which are often characterized by long sequences with a complex hierarchical structure. Some…

Machine Learning · Computer Science 2019-04-09 Santiago Pascual , Mirco Ravanelli , Joan Serrà , Antonio Bonafonte , Yoshua Bengio

This paper studies a machine learning regression problem as a multivariate approximation problem using the framework of the theory of random functions. An ab initio derivation of a regression method is proposed, starting from postulates of…

Machine Learning · Computer Science 2025-12-16 Yuriy N. Bakhvalov

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi

Learning invariant representations is an important requirement when training machine learning models that are driven by spurious correlations in the datasets. These spurious correlations, between input samples and the target labels, wrongly…

Machine Learning · Computer Science 2022-01-12 Vishnu Suresh Lokhande , Kihyuk Sohn , Jinsung Yoon , Madeleine Udell , Chen-Yu Lee , Tomas Pfister

Many real-world tasks require models to compare images along multiple similarity conditions (e.g. similarity in color, category or shape). Existing methods often reason about these complex similarity relationships by learning…

Computer Vision and Pattern Recognition · Computer Science 2019-08-26 Reuben Tan , Mariya I. Vasileva , Kate Saenko , Bryan A. Plummer

In this paper, we present an algorithm to efficiently learn socially-compliant navigation policies from observations of human trajectories. As mobile robots come to inhabit and traffic social spaces, they must account for social cues and…

Robotics · Computer Science 2021-06-22 Bobak H. Baghi , Gregory Dudek

Inverse problems, where in broad sense the task is to learn from the noisy response about some unknown function, usually represented as the argument of some known functional form, has received wide attention in the general scientific…

Methodology · Statistics 2017-07-24 Debashis Chatterjee , Sourabh Bhattacharya

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

Machine Learning · Computer Science 2020-02-17 Nicolo Colombo

Machine unlearning is a complex process that necessitates the model to diminish the influence of the training data while keeping the loss of accuracy to a minimum. Despite the numerous studies on machine unlearning in recent years, the…

Machine Learning · Computer Science 2024-05-14 Zixin Wang , Kongyang Chen

This work deals with the problem of distributed data acquisition under non-linear communication constraints. More specifically, we consider a model setup where $M$ distributed nodes take individual measurements of an unknown structured…

Information Theory · Computer Science 2020-01-09 Martin Genzel , Peter Jung

We propose a new contrastive objective for learning overcomplete pixel-level features that are invariant to motion blur. Other invariances (e.g., pose, illumination, or weather) can be learned by applying the corresponding transformations…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Leonid Pogorelyuk , Stefan T. Radev

In many physical systems, inputs related by intrinsic system symmetries are mapped to the same output. When inverting such systems, i.e., solving the associated inverse problems, there is no unique solution. This causes fundamental…

Machine Learning · Computer Science 2020-03-23 Kshitij Tayal , Chieh-Hsin Lai , Vipin Kumar , Ju Sun

Data driven models of dynamical systems help planners and controllers to provide more precise and accurate motions. Most model learning algorithms will try to minimize a loss function between the observed data and the model's predictions.…

Artificial Intelligence · Computer Science 2021-02-12 Clark Zhang , Santiago Paternain , Alejandro Ribeiro

Robots have been increasingly better at doing tasks for humans by learning from their feedback, but still often suffer from model misalignment due to missing or incorrectly learned features. When the features the robot needs to learn to…

Robotics · Computer Science 2023-04-14 Inês Lourenço , Andreea Bobu , Cristian R. Rojas , Bo Wahlberg

Unsupervised neural network learning extracts hidden features from unlabeled training data. This is used as a pretraining step for further supervised learning in deep networks. Hence, understanding unsupervised learning is of fundamental…

Disordered Systems and Neural Networks · Physics 2016-12-23 Haiping Huang , Taro Toyoizumi

We study the problem of recovering a structured signal from independently and identically drawn linear measurements. A convex penalty function $f(\cdot)$ is considered which penalizes deviations from the desired structure, and signal…

Statistics Theory · Mathematics 2019-06-21 Ehsan Abbasi , Fariborz Salehi , Babak Hassibi

Imitation learning allows agents to learn complex behaviors from demonstrations. However, learning a complex vision-based task may require an impractical number of demonstrations. Meta-imitation learning is a promising approach towards…

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed model is inspired by the architecture of generative…

Optimization and Control · Mathematics 2021-11-10 Andreas Habring , Martin Holler

Solving inverse problems continues to be a challenge in a wide array of applications ranging from deblurring, image inpainting, source separation etc. Most existing techniques solve such inverse problems by either explicitly or implicitly…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Rushil Anirudh , Jayaraman J. Thiagarajan , Bhavya Kailkhura , Timo Bremer
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