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Including pairwise interactions between the predictors of a regression model can produce better predicting models. However, to fit such interaction models on typical data sets in biology and other fields can often require solving enormous…

Methodology · Statistics 2023-02-14 Guo Yu , Jacob Bien , Ryan Tibshirani

We propose a kernel-spectral embedding algorithm for learning low-dimensional nonlinear structures from high-dimensional and noisy observations, where the datasets are assumed to be sampled from an intrinsically low-dimensional manifold and…

Machine Learning · Statistics 2023-07-07 Xiucai Ding , Rong Ma

We address the problem of causal effect estimation in the presence of unobserved confounding, but where proxies for the latent confounder(s) are observed. We propose two kernel-based methods for nonlinear causal effect estimation in this…

Interpreting neural networks is a crucial and challenging task in machine learning. In this paper, we develop a novel framework for detecting statistical interactions captured by a feedforward multilayer neural network by directly…

Machine Learning · Statistics 2018-02-28 Michael Tsang , Dehua Cheng , Yan Liu

We propose HyperDynamics, a dynamics meta-learning framework that conditions on an agent's interactions with the environment and optionally its visual observations, and generates the parameters of neural dynamics models based on inferred…

Robotics · Computer Science 2021-03-18 Zhou Xian , Shamit Lal , Hsiao-Yu Tung , Emmanouil Antonios Platanios , Katerina Fragkiadaki

Learning-based traffic signal control is typically optimized for average performance under a few nominal demand patterns, which can result in poor behavior under atypical traffic conditions. To address this, we develop a distributionally…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Shuwei Pei , Joran Borger , Arda Kosay , Muhammed O. Sayin , Saeed Ahmed

We consider several estimation and learning problems that networked agents face when making decisions given their uncertainty about an unknown variable. Our methods are designed to efficiently deal with heterogeneity in both size and…

Applications · Statistics 2016-11-11 M. Amin Rahimian , Ali Jadbabaie

Multi-agent systems exhibit complex behaviors that emanate from the interactions of multiple agents in a shared environment. In this work, we are interested in controlling one agent in a multi-agent system and successfully learn to interact…

Machine Learning · Computer Science 2020-01-30 Georgios Papoudakis , Stefano V. Albrecht

Metric and kernel learning are important in several machine learning applications. However, most existing metric learning algorithms are limited to learning metrics over low-dimensional data, while existing kernel learning algorithms are…

Machine Learning · Computer Science 2009-11-02 Prateek Jain , Brian Kulis , Jason V. Davis , Inderjit S. Dhillon

The relative balance between physics and data within any physics-informed machine learner is an important modelling consideration to ensure that the benefits of both physics and data-based approaches are maximised. An over reliance on…

Machine Learning · Computer Science 2025-06-16 Daniel James Pitchforth , Matthew Rhys Jones , Samuel John Gibson , Elizabeth Jane Cross

A key challenge to nonlocal models is the analytical complexity of deriving them from first principles, and frequently their use is justified a posteriori. In this work we extract nonlocal models from data, circumventing these challenges…

Optimization and Control · Mathematics 2020-12-30 Huaiqian You , Yue Yu , Nathaniel Trask , Mamikon Gulian , Marta D'Elia

Motivated by the problem of tracking a direction in a decentralized way, we consider the general problem of cooperative learning in multi-agent systems with time-varying connectivity and intermittent measurements. We propose a distributed…

Optimization and Control · Mathematics 2014-12-17 Naomi Ehrich Leonard , Alex Olshevsky

Learning-based simulators show great potential for simulating particle dynamics when 3D groundtruth is available, but per-particle correspondences are not always accessible. The development of neural rendering presents a new solution to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Jiaxu Wang , Jingkai Sun , Junhao He , Ziyi Zhang , Qiang Zhang , Mingyuan Sun , Renjing Xu

Asymmetric kernels naturally exist in real life, e.g., for conditional probability and directed graphs. However, most of the existing kernel-based learning methods require kernels to be symmetric, which prevents the use of asymmetric…

Machine Learning · Computer Science 2022-02-04 Mingzhen He , Fan He , Lei Shi , Xiaolin Huang , Johan A. K. Suykens

Current Lagrangian (particle-tracking) algorithms used to simulate diffusion-reaction equations must employ a certain number of particles to properly emulate the system dynamics---particularly for imperfectly-mixed systems. The number of…

Numerical Analysis · Mathematics 2017-03-08 Michael Schmidt , Stephen Pankavich , David Benson

Emergent communication offers insight into how agents develop shared structured representations, yet most research assumes homogeneous modalities or aligned representational spaces, overlooking the perceptual heterogeneity of real-world…

Multiagent Systems · Computer Science 2026-01-30 Naomi Pitzer , Daniela Mihai

Collaborative multi-agent reinforcement learning has rapidly evolved, offering state-of-the-art algorithms for real-world applications, including sensitive domains. However, a key challenge to its widespread adoption is the lack of a…

Machine Learning · Computer Science 2026-01-22 Amine Andam , Jamal Bentahar , Mustapha Hedabou

We consider the problem of learning a linear operator $\theta$ between two Hilbert spaces from empirical observations, which we interpret as least squares regression in infinite dimensions. We show that this goal can be reformulated as an…

Statistics Theory · Mathematics 2024-07-11 Mattes Mollenhauer , Nicole Mücke , T. J. Sullivan

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

Disordered Systems and Neural Networks · Physics 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

Single crystal inelastic neutron scattering data contain rich information about the structure and dynamics of a material. Yet the challenge of matching sophisticated theoretical models with large data volumes is compounded by computational…