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In this paper, we present a dual representation of the influence functions, whose computational complexity scales with dataset size rather than model size. Both analytically and experimentally, we show that this representation can be an…

Machine Learning · Computer Science 2026-05-13 Zhenhuan Sun , Shahrokh Valaee

Learning causal relationships is a fundamental problem in science. Anchor regression has been developed to address this problem for a large class of causal graphical models, though the relationships between the variables are assumed to be…

Machine Learning · Statistics 2022-11-01 Wenqi Shi , Wenkai Xu

Permutation-valued features arise in a variety of applications, either in a direct way when preferences are elicited over a collection of items, or an indirect way in which numerical ratings are converted to a ranking. To date, there has…

Machine Learning · Statistics 2017-07-24 Horia Mania , Aaditya Ramdas , Martin J. Wainwright , Michael I. Jordan , Benjamin Recht

By stacking layers of convolution and nonlinearity, convolutional networks (ConvNets) effectively learn from low-level to high-level features and discriminative representations. Since the end goal of large-scale recognition is to delineate…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Peihua Li , Jiangtao Xie , Qilong Wang , Wangmeng Zuo

Behavioural metrics have been shown to be an effective mechanism for constructing representations in reinforcement learning. We present a novel perspective on behavioural metrics for Markov decision processes via the use of positive…

Machine Learning · Computer Science 2023-11-01 Pablo Samuel Castro , Tyler Kastner , Prakash Panangaden , Mark Rowland

We introduce a novel kernel-based framework for learning differential equations and their solution maps that is efficient in data requirements, in terms of solution examples and amount of measurements from each example, and computational…

Machine Learning · Statistics 2025-04-07 Yasamin Jalalian , Juan Felipe Osorio Ramirez , Alexander Hsu , Bamdad Hosseini , Houman Owhadi

Image reconstruction for positron emission tomography (PET) is challenging because of the ill-conditioned tomographic problem and low counting statistics. Kernel methods address this challenge by using kernel representation to incorporate…

Image and Video Processing · Electrical Eng. & Systems 2022-05-26 Siqi Li , Guobao Wang

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

While Transformer architectures have show remarkable success, they are bound to the computation of all pairwise interactions of input element and thus suffer from limited scalability. Recent work has been successful by avoiding the…

Machine Learning · Computer Science 2021-02-16 Max Horn , Kumar Shridhar , Elrich Groenewald , Philipp F. M. Baumann

The use of kernel functions is a common technique to extract important features from data sets. A quantum computer can be used to estimate kernel entries as transition amplitudes of unitary circuits. Quantum kernels exist that, subject to…

We propose several approaches for solving differential equations (DEs) with quantum kernel methods. We compose quantum models as weighted sums of kernel functions, where variables are encoded using feature maps and model derivatives are…

Quantum Physics · Physics 2023-04-12 Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

This paper proposes a new nonlinear approach for additive functional regression with functional response based on kernel methods along with some slight reformulation and implementation of the linear regression and the spectral additive…

Action in video usually involves the interaction of human with objects. Action labels are typically composed of various combinations of verbs and nouns, but we may not have training data for all possible combinations. In this paper, we aim…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Zhekun Luo , Shalini Ghosh , Devin Guillory , Keizo Kato , Trevor Darrell , Huijuan Xu

With machine learning being a popular topic in current computational materials science literature, creating representations for compounds has become common place. These representations are rarely compared, as evaluating their performance -…

Machine Learning · Computer Science 2023-05-26 Samantha Durdy , Michael Gaultois , Vladimir Gusev , Danushka Bollegala , Matthew J. Rosseinsky

Recently, deep learning approach has achieved promising results in various fields of computer vision. In this paper, a new framework called Hierarchical Depth Motion Maps (HDMM) + 3 Channel Deep Convolutional Neural Networks (3ConvNets) is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-21 Pichao Wang , Wanqing Li , Zhimin Gao , Jing Zhang , Chang Tang , Philip Ogunbona

During the past few years, probabilistic approaches to imitation learning have earned a relevant place in the literature. One of their most prominent features, in addition to extracting a mean trajectory from task demonstrations, is that…

Robotics · Computer Science 2023-09-27 João Silvério , Yanlong Huang , Fares J. Abu-Dakka , Leonel Rozo , Darwin G. Caldwell

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

Statistics Theory · Mathematics 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

This paper presents a regularized recursive identification algorithm with simultaneous on-line estimation of both the model parameters and the algorithms hyperparameters. A new kernel is proposed to facilitate the algorithm development. The…

Methodology · Statistics 2024-05-14 Bernard Vau , Tudor-Bogdan Airimitoaie

Usually, complex-valued RKHS are presented as an straightforward application of the real-valued case. In this paper we prove that this procedure yields a limited solution for regression. We show that another kernel, here denoted as pseudo…

Debiased collaborative filtering aims to learn an unbiased prediction model by removing different biases in observational datasets. To solve this problem, one of the simple and effective methods is based on the propensity score, which…

Information Retrieval · Computer Science 2024-05-01 Haoxuan Li , Chunyuan Zheng , Yanghao Xiao , Peng Wu , Zhi Geng , Xu Chen , Peng Cui
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