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We give a universal kernel that renders all the regular languages linearly separable. We are not able to compute this kernel efficiently and conjecture that it is intractable, but we do have an efficient $\eps$-approximation.

Machine Learning · Computer Science 2007-12-07 Leonid , Kontorovich

In this work, the operator-sum representation of a quantum process is extended to the probability representation of quantum mechanics. It is shown that each process admitting the operator-sum representation is assigned a kernel, convolving…

Quantum Physics · Physics 2022-02-03 Yan Przhiyalkovskiy

The field of emergent communication aims to understand the characteristics of communication as it emerges from artificial agents solving tasks that require information exchange. Communication with discrete messages is considered a desired…

Artificial Intelligence · Computer Science 2023-01-20 Boaz Carmeli , Ron Meir , Yonatan Belinkov

One of the most natural connections between quantum and classical machine learning has been established in the context of kernel methods. Kernel methods rely on kernels, which are inner products of feature vectors living in large feature…

Quantum Physics · Physics 2024-04-10 Elies Gil-Fuster , Jens Eisert , Vedran Dunjko

Distributional regression aims to estimate the full conditional distribution of a target variable, given covariates. Popular methods include linear and tree-ensemble based quantile regression. We propose a neural network-based…

Methodology · Statistics 2024-07-08 Xinwei Shen , Nicolai Meinshausen

This paper presents a novel framework for goal-oriented semantic communications leveraging recursive early exit models. The proposed approach is built on two key components. First, we introduce an innovative early exit strategy that…

Machine Learning · Computer Science 2024-12-30 Jary Pomponi , Mattia Merluzzi , Alessio Devoto , Mateus Pontes Mota , Paolo Di Lorenzo , Simone Scardapane

Computational communication research on information has been prevalent in recent years, as people are progressively inquisitive in social behavior and public opinion. Nevertheless, it is of great significance to analyze the direction of…

Computers and Society · Computer Science 2021-06-04 Hongyuan Diao , Fuzhong Nian , Xuelong Yu , Xirui Liu , Xinhao Liu

To effectively express and satisfy network application requirements, intent-based network management has emerged as a promising solution. In intent-based methods, users and applications express their intent in a high-level abstract language…

Networking and Internet Architecture · Computer Science 2024-02-08 Salwa Mostafa , Mohammed S. Elbamby , Mohamed K. Abdel-Aziz , Mehdi Bennis

How do we know if communication is emerging in a multi-agent system? The vast majority of recent papers on emergent communication show that adding a communication channel leads to an increase in reward or task success. This is a useful…

Machine Learning · Computer Science 2019-03-14 Ryan Lowe , Jakob Foerster , Y-Lan Boureau , Joelle Pineau , Yann Dauphin

The paper is a follow-up of the recently introduced kernel-based framework to identify nonlinear input-output systems regularized by desirable input-output incremental properties. Assuming that the system has fading memory, we propose to…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Yongkang Huo , Thomas Chaffey , Rodolphe Sepulchre

The technique of kernelization consists in extracting, from an instance of a problem, an essentially equivalent instance whose size is bounded in a parameter k. Besides being the basis for efficient param-eterized algorithms, this method…

Artificial Intelligence · Computer Science 2017-02-09 Clément Carbonnel , Emmanuel Hébrard

The ability to perform fast and accurate atomistic simulations is crucial for advancing the chemical sciences. By learning from high-quality data, machine-learned interatomic potentials achieve accuracy on par with ab initio and…

Bayesian inference is a popular method to build learning algorithms but it is hampered by the fact that its key object, the posterior probability distribution, is often uncomputable. Expectation Propagation (EP) (Minka (2001)) is a popular…

Machine Learning · Statistics 2016-12-16 Guillaume P. Dehaene

Strategies to improve the predicting performance of Message-Passing Neural-Networks for molecular property predictions can be achieved by simplifying how the message is passed and by using descriptors that capture multiple aspects of…

Machine Learning · Computer Science 2025-10-22 Alma C. Castaneda-Leautaud , Rommie E. Amaro

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Nir Shlezinger , Tirza Routtenberg

This paper considers the design of nonlinear data-enabled predictive control (DeePC) using kernel functions. Compared with existing methods that use kernels to parameterize multi-step predictors for nonlinear DeePC, we adopt a novel,…

Optimization and Control · Mathematics 2025-01-30 Thomas de Jong , Siep Weiland , Mircea Lazar

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

Data Analysis, Statistics and Probability · Physics 2012-09-19 N. D. Gagunashvili , M. Schmelling

In classical machine learning, regression is treated as a black box process of identifying a suitable function from a hypothesis set without attempting to gain insight into the mechanism connecting inputs and outputs. In the natural…

Machine Learning · Computer Science 2016-10-11 Georg Martius , Christoph H. Lampert

Since infectious pathogens start spreading into a susceptible population, mathematical models can provide policy makers with reliable forecasts and scenario analyses, which can be concretely implemented or solely consulted. In these complex…

Numerical Analysis · Mathematics 2024-04-30 Giovanni Ziarelli , Nicola Parolini , Marco Verani

This paper makes two contributions to Bayesian machine learning algorithms. Firstly, we propose stochastic natural gradient expectation propagation (SNEP), a novel alternative to expectation propagation (EP), a popular variational inference…