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This paper introduces a new probabilistic framework for supervised learning in neural systems. It is designed to model complex, uncertain systems whose random outputs are strongly non-Gaussian given deterministic inputs. The architecture…

机器学习 · 统计学 2025-12-12 Christian Soize

Parameter prediction is essential for many applications, facilitating insightful interpretation and decision-making. However, in many real life domains, such as power systems, medicine, and engineering, it can be very expensive to acquire…

机器学习 · 计算机科学 2024-02-16 Zimeng Lyu , Alexander Ororbia , Rui Li , Travis Desell

Standard evolutionary theories of aging and mortality, implicitly based on assumptions of spatial averaging, hold that natural selection cannot favor shorter lifespan without direct compensating benefit to individual reproductive success.…

种群与进化 · 定量生物学 2015-06-15 Justin Werfel , Donald E. Ingber , Yaneer Bar-Yam

Controlling the internal representation space of a neural network is a desirable feature because it allows to generate new data in a supervised manner. In this paper we will show how this can be achieved while building a low-dimensional…

机器学习 · 计算机科学 2020-09-03 Francesco Mannella

Self-Organizing Map (SOM) is a neural network model which is used to obtain a topology-preserving mapping from the (usually high dimensional) input/feature space to an output/map space of fewer dimensions (usually two or three in order to…

人工智能 · 计算机科学 2016-05-20 Gerasimos Spanakis , Gerhard Weiss

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

统计力学 · 物理学 2026-04-20 Raphael Blumenfeld

Manifold learning approaches seek the intrinsic, low-dimensional data structure within a high-dimensional space. Mainstream manifold learning algorithms, such as Isomap, UMAP, $t$-SNE, Diffusion Map, and Laplacian Eigenmaps do not use data…

机器学习 · 统计学 2023-07-04 Jake S. Rhodes

Self-organized bistability (SOB) is the counterpart of 'self-organized criticality' (SOC), for systems tuning themselves to the edge of bistability of a discontinuous phase transition, rather than to the critical point of a continuous one.…

Cancer survival prediction is an active area of research that can help prevent unnecessary therapies and improve patient's quality of life. Gene expression profiling is being widely used in cancer studies to discover informative biomarkers…

机器学习 · 计算机科学 2016-11-18 Hamid Reza Hassanzadeh , John H. Phan , May D. Wang

This paper introduces an Ordinary Differential Equation (ODE) notion for survival analysis. The ODE notion not only provides a unified modeling framework, but more importantly, also enables the development of a widely applicable, scalable,…

统计方法学 · 统计学 2021-12-07 Weijing Tang , Kevin He , Gongjun Xu , Ji Zhu

We construct a stochastic dynamical systems theory in which sustainability is a structural boundary property of a fully coupled Earth--Human--Production system. Each subsystem is modelled as a vector-valued process governed by stochastic…

理论经济学 · 经济学 2026-03-02 Claudio Pirrone , Stefano Fricano , Gioacchino Fazio

Self-Organizing Maps (SOM) are a classical method for unsupervised learning, vector quantization, and topographic mapping of high-dimensional data. However, existing SOM formulations often involve a trade-off between computational…

机器学习 · 计算机科学 2026-04-16 Seiki Ubukata , Akira Notsu , Katsuhiro Honda

Guided wave-based structural health monitoring (SHM) remains a powerful strategy for identifying early-stage defects and safeguarding vital aerospace structures. Yet, its practical use is often hindered by the enormous, high-dimensional…

信号处理 · 电气工程与系统科学 2025-04-16 Yiming Fan , Dimitris G Giovanis , Fotis Kopsaftopoulos

Self-organizing maps (SOMs) are a technique that has been used with high-dimensional data vectors to develop an archetypal set of states (nodes) that span, in some sense, the high-dimensional space. Noteworthy applications include weather…

应用统计 · 统计学 2009-01-23 Huiyan Sang , Alan E. Gelfand , Chris Lennard , Gabriele Hegerl , Bruce Hewitson

Motivation: Identification of genomic, molecular and clinical markers prognostic of patient survival is important for developing personalized disease prevention, diagnostic and treatment approaches. Modern omics technologies have made it…

应用统计 · 统计学 2024-03-05 Zhi Zhao , John Zobolas , Manuela Zucknick , Tero Aittokallio

Survival analysis stands as a pivotal process in cancer treatment research, crucial for predicting patient survival rates accurately. Recent advancements in data collection techniques have paved the way for enhancing survival predictions by…

机器学习 · 计算机科学 2024-07-26 Linhao Qu , Dan Huang , Shaoting Zhang , Xiaosong Wang

Learning with physical systems is an emerging paradigm that seeks to harness the intrinsic nonlinear dynamics of physical substrates for learning. The impetus for a paradigm shift in how hardware is used for computational intelligence stems…

无序系统与神经网络 · 物理学 2026-04-28 Francesco Caravelli , Gianluca Milano , Adam Z. Stieg , Carlo Ricciardi , Simon Anthony Brown , Zdenka Kuncic

Theories of self-organized active fluid surfaces have emerged as an important class of minimal models for the shape dynamics of biological membranes, cells and tissues. However, due to their inherent geometric nonlinearities and the absence…

软凝聚态物质 · 物理学 2025-07-16 Da Gao , Huayang Sun , Rui Ma , Alexander Mietke

Anomaly detection plays a key role in industrial manufacturing for product quality control. Traditional methods for anomaly detection are rule-based with limited generalization ability. Recent methods based on supervised deep learning are…

计算机视觉与模式识别 · 计算机科学 2021-07-22 Ning Li , Kaitao Jiang , Zhiheng Ma , Xing Wei , Xiaopeng Hong , Yihong Gong

Accurate survival prediction is critical in oncology for prognosis and treatment planning. Traditional approaches often rely on a single data modality, limiting their ability to capture the complexity of tumor biology. To address this…

机器学习 · 计算机科学 2025-07-11 Alba Garrido , Alejandro Almodóvar , Patricia A. Apellániz , Juan Parras , Santiago Zazo
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