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We revisit the MaxSAT problem in the data stream model. In this problem, the stream consists of $m$ clauses that are disjunctions of literals drawn from $n$ Boolean variables. The objective is to find an assignment to the variables that…

Data Structures and Algorithms · Computer Science 2022-08-22 Hoa T. Vu

We consider the Max-$3$-Section problem, where we are given an undirected graph $ G=(V,E)$ equipped with non-negative edge weights $w :E\rightarrow \mathbb{R}_+$ and the goal is to find a partition of $V$ into three equisized parts while…

Data Structures and Algorithms · Computer Science 2023-08-08 Dor Katzelnick , Aditya Pillai , Roy Schwartz , Mohit Singh

Safe reinforcement learning aims to learn the optimal policy while satisfying safety constraints, which is essential in real-world applications. However, current algorithms still struggle for efficient policy updates with hard constraint…

Machine Learning · Computer Science 2022-06-20 Linrui Zhang , Li Shen , Long Yang , Shixiang Chen , Bo Yuan , Xueqian Wang , Dacheng Tao

An unresolved problem in Deep Learning is the ability of neural networks to cope with domain shifts during test-time, imposed by commonly fixing network parameters after training. Our proposed method Meta Test-Time Training (MT3), however,…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Alexander Bartler , Andre Bühler , Felix Wiewel , Mario Döbler , Bin Yang

We propose an inexact variable-metric proximal point algorithm to accelerate gradient-based optimization algorithms. The proposed scheme, called QNing can be notably applied to incremental first-order methods such as the stochastic…

Machine Learning · Statistics 2019-01-30 Hongzhou Lin , Julien Mairal , Zaid Harchaoui

The poset cover problem seeks a minimum set of partial orders whose linear extensions cover a given set of linear orders. Recognizing its NP-completeness, we devised a non-trivial reduction to the Boolean satisfiability problem using a…

Logic in Computer Science · Computer Science 2025-05-08 Chih-Cheng Rex Yuan , Bow-Yaw Wang

Survey propagation is a powerful technique from statistical physics that has been applied to solve the 3-SAT problem both in principle and in practice. We give, using only probability arguments, a common derivation of survey propagation,…

Statistical Mechanics · Physics 2007-05-23 Erik Aurell , Uri Gordon , Scott Kirkpatrick

Recent focus on robustness to adversarial attacks for deep neural networks produced a large variety of algorithms for training robust models. Most of the effective algorithms involve solving the min-max optimization problem for training…

Machine Learning · Computer Science 2021-03-03 Yasaman Esfandiari , Aditya Balu , Keivan Ebrahimi , Umesh Vaidya , Nicola Elia , Soumik Sarkar

Efficient learning and model compression algorithm for deep neural network (DNN) is a key workhorse behind the rise of deep learning (DL). In this work, we propose a message passing based Bayesian deep learning algorithm called EM-TDAMP to…

Machine Learning · Computer Science 2024-06-11 Wei Xu , An Liu , Yiting Zhang , Vincent Lau

A recurring problem faced when training neural networks is that there is typically not enough data to maximize the generalization capability of deep neural networks(DNN). There are many techniques to address this, including data…

Artificial Intelligence · Computer Science 2017-04-26 Joseph Lemley , Shabab Bazrafkan , Peter Corcoran

A local search algorithm solving an NP-complete optimisation problem can be viewed as a stochastic process moving in an 'energy landscape' towards eventually finding an optimal solution. For the random 3-satisfiability problem, the…

Statistical Mechanics · Physics 2009-11-11 Sakari Seitz , Mikko Alava , Pekka Orponen

We improve the theoretical and empirical performance of neural-network(NN)-based active learning algorithms for the non-parametric streaming setting. In particular, we introduce two regret metrics by minimizing the population loss that are…

Machine Learning · Computer Science 2023-01-18 Yikun Ban , Yuheng Zhang , Hanghang Tong , Arindam Banerjee , Jingrui He

The success of deep learning depends on finding an architecture to fit the task. As deep learning has scaled up to more challenging tasks, the architectures have become difficult to design by hand. This paper proposes an automated method,…

Neural and Evolutionary Computing · Computer Science 2017-03-07 Risto Miikkulainen , Jason Liang , Elliot Meyerson , Aditya Rawal , Dan Fink , Olivier Francon , Bala Raju , Hormoz Shahrzad , Arshak Navruzyan , Nigel Duffy , Babak Hodjat

Resolution in deep convolutional neural networks (CNNs) is typically bounded by the receptive field size through filter sizes, and subsampling layers or strided convolutions on feature maps. The optimal resolution may vary significantly…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Silvia L. Pintea , Nergis Tomen , Stanley F. Goes , Marco Loog , Jan C. van Gemert

Multi-task learning enhances model generalization by jointly learning from related tasks. This paper focuses on the $\ell_{1,\infty}$-norm constrained multi-task learning problem, which promotes a shared feature representation while…

Optimization and Control · Mathematics 2025-04-22 Lanyu Lin , Yong-Jin Liu , Bo Wang , Junfeng Yang

In Generalized Linear Estimation (GLE) problems, we seek to estimate a signal that is observed through a linear transform followed by a component-wise, possibly nonlinear and noisy, channel. In the Bayesian optimal setting, Generalized…

Disordered Systems and Neural Networks · Physics 2021-02-03 Luca Saglietti , Yue M. Lu , Carlo Lucibello

Deep Neural Networks and Reinforcement Learning methods have empirically shown great promise in tackling challenging combinatorial problems. In those methods a deep neural network is used as a solution generator which is then trained by…

Machine Learning · Computer Science 2023-11-08 Constantine Caramanis , Dimitris Fotakis , Alkis Kalavasis , Vasilis Kontonis , Christos Tzamos

This paper studies the problem of learning an unknown function $f$ from given data about $f$. The learning problem is to give an approximation $\hat f$ to $f$ that predicts the values of $f$ away from the data. There are numerous settings…

Machine Learning · Computer Science 2023-06-27 Peter Binev , Andrea Bonito , Ronald DeVore , Guergana Petrova

The relationship between the complexity classes P and NP is an unsolved question in the field of theoretical computer science. In this paper, we investigate a descriptor approach based on lattice properties. This paper proposes a new way to…

Computational Complexity · Computer Science 2020-01-06 Marcel Rémon , Johan Barthélemy

Much effort is spent everyday by programmers in trying to reduce long, failing execution traces to the cause of the error. We present a new algorithm for error cause localization based on a reduction to the maximal satisfiability problem…

Programming Languages · Computer Science 2011-03-10 Manu Jose , Rupak Majumdar