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We introduce a novel mathematical formulation for the training of feed-forward neural networks with (potentially non-smooth) proximal maps as activation functions. This formulation is based on Bregman distances and a key advantage is that…

Optimization and Control · Mathematics 2022-08-19 Xiaoyu Wang , Martin Benning

Estimating similarity between vertices is a fundamental issue in network analysis across various domains, such as social networks and biological networks. Methods based on common neighbors and structural contexts have received much…

Social and Information Networks · Computer Science 2015-04-14 Jing Zhang , Jie Tang , Cong Ma , Hanghang Tong , Yu Jing , Juanzi Li

Model Predictive Control (MPC) is a powerful strategy for constrained multivariable systems but faces computational challenges in real-time deployment due to its online optimization requirements. While explicit MPC and neural network…

Optimization and Control · Mathematics 2025-12-18 Jiayang Ren , Qiangqiang Mao , Tianwei Zhao , Yankai Cao

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

The importance of higher-order relations is widely recognized in a large number of real-world systems. However, annotating them is a tedious and sometimes impossible task. Consequently, current approaches for data modelling either ignore…

Machine Learning · Computer Science 2025-06-06 Iulia Duta , Pietro Liò

Respondent-driven sampling (RDS) is a commonly used method for acquiring data on hidden communities, i.e., those that lack unbiased sampling frames or face social stigmas that make their mem- bers unwilling to identify themselves. Obtaining…

Social and Information Networks · Computer Science 2013-08-30 Christopher M. Homan , Vincent Silenzio , Randall Sell

Training Neural Networks (NNs) to behave as Model Predictive Control (MPC) algorithms is an effective way to implement them in constrained embedded devices. By collecting large amounts of input-output data, where inputs represent system…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Alberto Castillo , Elliot Pryor , Anas El Fathi , Boris Kovatchev , Marc Breton

This paper proposes a new data-driven method for the reliable prediction of power system post-fault trajectories. The proposed method is based on the fundamentally new concept of Deep Operator Networks (DeepONets). Compared to traditional…

Numerical Analysis · Mathematics 2022-02-16 Christian Moya , Shiqi Zhang , Meng Yue , Guang Lin

We tackle the problem of predicting the number of optimization steps that a pre-trained deep network needs to converge to a given value of the loss function. To do so, we leverage the fact that the training dynamics of a deep network during…

Machine Learning · Computer Science 2020-08-31 Luca Zancato , Alessandro Achille , Avinash Ravichandran , Rahul Bhotika , Stefano Soatto

Let $G = (V, E)$ be an undirected graph with $n$ vertices and $m$ edges, and let $\mu = m/n$. A \emph{distance oracle} is a data structure designed to answer approximate distance queries, with the goal of achieving low stretch, efficient…

Data Structures and Algorithms · Computer Science 2025-09-03 Avi Kadria , Liam Roditty

Online reinforcement learning (RL) methods are often data-inefficient or unreliable, making them difficult to train on real robotic hardware, especially quadruped robots. Learning robotic tasks from pre-collected data is a promising…

Robotics · Computer Science 2024-10-28 Hongyin Zhang , Shuyu Yang , Donglin Wang

Predicting the motion of surrounding vehicles is key to safe autonomous driving, especially in unstructured environments without prior information. This paper proposes a novel online method to accurately predict the occupancy sets of…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Alvaro Carrizosa-Rendon , Jian Zhou , Erik Frisk , Vicenc Puig , Fatiha Nejjari

The Once-For-All (OFA) method offers an excellent pathway to deploy a trained neural network model into multiple target platforms by utilising the supernet-subnet architecture. Once trained, a subnet can be derived from the supernet (both…

Machine Learning · Computer Science 2022-04-21 Jordan Shipard , Arnold Wiliem , Clinton Fookes

We propose an algorithm to (i) learn online a deep signed distance function (SDF) with a LiDAR-equipped robot to represent the 3D environment geometry, and (ii) plan collision-free trajectories given this deep learned map. Our algorithm…

Robotics · Computer Science 2022-08-04 Gadiel Sznaier Camps , Robert Dyro , Marco Pavone , Mac Schwager

Robot social navigation needs to adapt to different human factors and environmental contexts. However, since these factors and contexts are difficult to predict and cannot be exhaustively enumerated, traditional learning-based methods have…

Robotics · Computer Science 2025-03-17 Iaroslav Okunevich , Alexandre Lombard , Tomas Krajnik , Yassine Ruichek , Zhi Yan

Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks is to achieve optimal utilization while maintaining safety…

Optimization and Control · Mathematics 2018-03-08 Tillmann Weisser , Line Roald , Sidhant Misra

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

Consider an agent exploring an unknown graph in search of some goal state. As it walks around the graph, it learns the nodes and their neighbors. The agent only knows where the goal state is when it reaches it. How do we reach this goal…

Data Structures and Algorithms · Computer Science 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li

Pedestrian trajectory prediction in dynamic scenes remains a challenging and critical problem in numerous applications, such as self-driving cars and socially aware robots. Challenges concentrate on capturing pedestrians' motion patterns…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Biao Yang , Guocheng Yan , Pin Wang , Chingyao Chan , Xiang Song , Yang Chen

In this paper, we consider the problem of predicting unknown targets from data. We propose Online Residual Learning (ORL), a method that combines online adaptation with offline-trained predictions. At a lower level, we employ multiple…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Anastasios Vlachos , Anastasios Tsiamis , Aren Karapetyan , Efe C. Balta , John Lygeros
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