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In order to extract governing equations from time-series data, various approaches are proposed. Among those, sparse identification of nonlinear dynamics (SINDy) stands out as a successful method capable of modeling governing equations with…

信号处理 · 电气工程与系统科学 2024-06-07 Jinho Choi

Combinatorial Exploration is a new domain-agnostic algorithmic framework to automatically and rigorously study the structure of combinatorial objects and derive their counting sequences and generating functions. We describe how it works and…

Marginalising over families of Gaussian Process kernels produces flexible model classes with well-calibrated uncertainty estimates. Existing approaches require likelihood evaluations of many kernels, rendering them prohibitively expensive…

机器学习 · 统计学 2023-03-16 Saad Hamid , Sebastian Schulze , Michael A. Osborne , Stephen J. Roberts

Algorithms with (machine-learned) predictions is a powerful framework for combining traditional worst-case algorithms with modern machine learning. However, the vast majority of work in this space assumes that the prediction itself is…

We construct a binary mixed-regime process with one deterministic textual regime and one random regime governed by an unobserved latent state. Even an ideal infinite-capacity sequence predictor that exactly recovers the text-only marginal…

计算与语言 · 计算机科学 2026-05-27 Francesco Corielli

The data-centric construction of inexpensive surrogates for fine-grained, physical models has been at the forefront of computational physics due to its significant utility in many-query tasks such as uncertainty quantification. Recent…

机器学习 · 统计学 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

Interventional causal models describe several joint distributions over some variables used to describe a system, one for each intervention setting. They provide a formal recipe for how to move between the different joint distributions and…

机器学习 · 统计学 2021-08-06 Eigil F. Rischel , Sebastian Weichwald

In this paper we are concerned with the learnability of nonlocal interaction kernels for first order systems modeling certain social interactions, from observations of realizations of their dynamics. This paper is the first of a series on…

动力系统 · 数学 2016-02-17 Mattia Bongini , Massimo Fornasier , Markus Hansen , Mauro Maggioni

Recent computational experiments have demonstrated the spontaneous emergence of self-replicating programs across universal automata, artificial chemistries, and self-modifying code systems. Remarkably, these results arise without explicit…

计算机科学中的逻辑 · 计算机科学 2026-01-27 Aritra Sarkar

Mutual Information (MI) is a powerful statistical measure that quantifies shared information between random variables, particularly valuable in high-dimensional data analysis across fields like genomics, natural language processing, and…

机器学习 · 计算机科学 2024-12-02 Andre O. Falcao

Scenarios are pen-pictures of plausible futures, used for strategic planning. The aim of this investigation is to expand the horizon of scenario-based planning through computational models that are able to aid the analyst in the planning…

神经与进化计算 · 计算机科学 2009-07-06 Hussein Abbass , Axel Bender , Helen Dam , Stephen Baker , James M Whitacre , Ruhul Sarker

Autonomous systems require the management of several model views to assure properties such as safety and security among others. A crucial issue in autonomous systems design assurance is the notion of emergent behavior; we cannot use their…

计算机科学中的逻辑 · 计算机科学 2022-03-31 Georgios Bakirtzis , Ufuk Topcu

Imprecise probability is concerned with uncertainty about which probability distributions to use. It has applications in robust statistics and machine learning. We look at programming language models for imprecise probability. Our…

编程语言 · 计算机科学 2024-10-31 Jack Liell-Cock , Sam Staton

We study distribution-free predictive inference for data with group symmetries, aiming to establish near-conditional coverage guarantees beyond exchangeability for structured data. While many predictive inference methods achieve a target…

统计方法学 · 统计学 2026-05-19 Yichen Shen , Mengxin Yu

This work presents a step towards utilizing incrementally-improving symbolic perception knowledge of the robot's surroundings for provably correct reactive control synthesis applied to an autonomous driving problem. Combining abstract…

机器人学 · 计算机科学 2022-09-21 Disha Kamale , Sofie Haesaert , Cristian-Ioan Vasile

Mathematical models are increasingly used in both academia and the pharmaceutical industry to understand how phenotypes emerge from systems of molecular interactions. However, their current construction as monolithic sets of equations…

分子网络 · 定量生物学 2007-10-19 Aneil Mallavarapu , Matthew Thomson , Benjamin Ullian , Jeremy Gunawardena

Patterns are fundamental to human cognition, enabling the recognition of structure and regularity across diverse domains. In this work, we focus on structural repeats, patterns that arise from the repetition of hierarchical relations within…

计算与语言 · 计算机科学 2025-04-15 Zeng Ren , Xinyi Guan , Martin Rohrmeier

Machine learning algorithms have achieved superhuman performance in specific complex domains. However, learning online from few examples and compositional learning for efficient generalization across domains remain elusive. In humans, such…

神经元与认知 · 定量生物学 2024-11-11 V. A. Aksyuk

Positive definite kernels and their associated Reproducing Kernel Hilbert Spaces provide a mathematically compelling and practically competitive framework for learning from data. In this paper we take the approximation theory point of view…

机器学习 · 计算机科学 2018-08-06 Mikhail Belkin

Causality serves as an abstract notion of time for concurrent systems. A computation is causal, or simply valid, if each observation of a computation event is preceded by the observation of its causes. The present work establishes that this…

计算机科学中的逻辑 · 计算机科学 2026-03-03 Clément Aubert , Jean Krivine
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