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The significance of learning constraints from data is underscored by its potential applications in real-world problem-solving. While constraints are popular for modeling and solving, the approaches to learning constraints from data remain…

Machine Learning · Computer Science 2024-03-05 Eduardo Vyhmeister , Rocio Paez , Gabriel Gonzalez

Generative models have proven to be an outstanding tool for representing high-dimensional probability distributions and generating realistic-looking images. An essential characteristic of generative models is their ability to produce…

Machine Learning · Computer Science 2019-11-26 Mohamed Elfeki , Camille Couprie , Morgane Riviere , Mohamed Elhoseiny

We describe an adaptive importance sampling algorithm for rare events that is based on a dual stochastic control formulation of a path sampling problem. Specifically, we focus on path functionals that have the form of cumulate generating…

Dynamical Systems · Mathematics 2019-01-30 Omar Kebiri , Lara Neureither , Carsten Hartmann

Transition path sampling (TPS), which involves finding probable paths connecting two points on an energy landscape, remains a challenge due to the complexity of real-world atomistic systems. Current machine learning approaches use…

Machine Learning · Computer Science 2025-06-27 Sanjeev Raja , Martin Šípka , Michael Psenka , Tobias Kreiman , Michal Pavelka , Aditi S. Krishnapriyan

Sampling-based Motion Planners (SMPs) have become increasingly popular as they provide collision-free path solutions regardless of obstacle geometry in a given environment. However, their computational complexity increases significantly…

Robotics · Computer Science 2018-09-28 Ahmed H. Qureshi , Michael C. Yip

Tensor networks have recently found applications in machine learning for both supervised learning and unsupervised learning. The most common approaches for training these models are gradient descent methods. In this work, we consider an…

Machine Learning · Computer Science 2023-06-27 Sheng-Hsuan Lin , Olivier Kuijpers , Sebastian Peterhansl , Frank Pollmann

Sampling-based motion planning under task constraints is challenging because the null-measure constraint manifold in the configuration space makes rejection sampling extremely inefficient, if not impossible. This paper presents a…

Robotics · Computer Science 2022-04-15 Cihan Acar , Keng Peng Tee

In this work we propose a deep adaptive sampling (DAS) method for solving partial differential equations (PDEs), where deep neural networks are utilized to approximate the solutions of PDEs and deep generative models are employed to…

Numerical Analysis · Mathematics 2022-07-06 Kejun Tang , Xiaoliang Wan , Chao Yang

Learning-based approaches to robotic manipulation are limited by the scalability of data collection and accessibility of labels. In this paper, we present a multi-task domain adaptation framework for instance grasping in cluttered scenes by…

Machine Learning · Computer Science 2018-03-06 Kuan Fang , Yunfei Bai , Stefan Hinterstoisser , Silvio Savarese , Mrinal Kalakrishnan

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence. Inspired by probabilistic interpretation of quantum…

Statistical Mechanics · Physics 2018-07-20 Zhao-Yu Han , Jun Wang , Heng Fan , Lei Wang , Pan Zhang

Generative models such as diffusion models, excel at capturing high-dimensional distributions with diverse input modalities, e.g. robot trajectories, but are less effective at multi-step constraint reasoning. Task and Motion Planning (TAMP)…

Adaptive sampling is a useful algorithmic tool for data summarization problems in the classical centralized setting, where the entire dataset is available to the single processor performing the computation. Adaptive sampling repeatedly…

Data Structures and Algorithms · Computer Science 2020-04-24 Sepideh Mahabadi , Ilya Razenshteyn , David P. Woodruff , Samson Zhou

We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train format. This format can encode standard approximation tools,…

Numerical Analysis · Mathematics 2025-12-23 Martin Eigel , Charles Miranda , Anthony Nouy , David Sommer

The No Unmeasured Confounding Assumption is widely used to identify causal effects in observational studies. Recent work on proximal inference has provided alternative identification results that succeed even in the presence of unobserved…

Machine Learning · Statistics 2022-10-17 Benjamin Kompa , David R. Bellamy , Thomas Kolokotrones , James M. Robins , Andrew L. Beam

The contractive auto-encoder learns a representation of the input data that captures the local manifold structure around each data point, through the leading singular vectors of the Jacobian of the transformation from input to…

Machine Learning · Computer Science 2012-07-03 Salah Rifai , Yoshua Bengio , Yann Dauphin , Pascal Vincent

Some mobile sensor network applications require the sensor nodes to transfer their trajectories to a data sink. This paper proposes an adaptive trajectory (lossy) compression algorithm based on compressive sensing. The algorithm has two…

Information Theory · Computer Science 2014-04-25 Rajib Rana , Mingrui Yang , Tim Wark , Chun Tung Chou , Wen Hu

This paper studies transfer learning for estimating the mean of random functions based on discretely sampled data, where, in addition to observations from the target distribution, auxiliary samples from similar but distinct source…

Statistics Theory · Mathematics 2024-03-29 T. Tony Cai , Dongwoo Kim , Hongming Pu

We propose a novel deep neural network (DNN) based approximation architecture to learn estimates of measurements. We detail an algorithm that enables training of the DNN. The DNN estimator only uses measurements, if and when they are…

Machine Learning · Computer Science 2022-09-13 Shivangi Agarwal , Sanjit K. Kaul , Saket Anand , P. B. Sujit

In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested failure domains of increasing size, the rare event probability…

Numerical Analysis · Mathematics 2023-12-13 Daniel Elfverson , Robert Scheichl , Simon Weissmann , F. Alejandro DiazDelaO

The normalizing constant plays an important role in Bayesian computation, and there is a large literature on methods for computing or approximating normalizing constants that cannot be evaluated in closed form. When the normalizing constant…

Computation · Statistics 2020-09-02 Yuling Yao , Collin Cademartori , Aki Vehtari , Andrew Gelman