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Glioblastoma is a highly malignant brain tumor with a life expectancy of only 3 to 6 months without treatment. Detecting and predicting its survival and grade accurately are crucial. This study introduces a novel approach using transfer…

Glioblastoma, a highly aggressive brain tumor, poses major challenges due to its poor prognosis and high morbidity rates. Partial differential equation-based models offer promising potential to enhance therapeutic outcomes by simulating…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Zeineb Haouari , Jonas Weidner , Yeray Martin-Ruisanchez , Ivan Ezhov , Aswathi Varma , Daniel Rueckert , Bjoern Menze , Benedikt Wiestler

The estimation of parameters from data is a common problem in many areas of the physical sciences, and frequently used algorithms rely on sets of simulated data which are fit to data. In this article, an analytic solution for…

Data Analysis, Statistics and Probability · Physics 2022-09-27 Daniel Britzger

The growth rate of matter perturbation and the expansion rate of the Universe can be used to distinguish modified gravity and dark energy models in explaining cosmic acceleration. We explore here the inclusion of spatial curvature into the…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Yungui Gong , Mustapha Ishak , Anzhong Wang

Gliomas are the most prevalent type of primary brain tumors, and their accurate segmentation from MRI is critical for diagnosis, treatment planning, and longitudinal monitoring. However, the scarcity of high-quality annotated imaging data…

A spatiotemporal noise is assumed to reflect the environmental fluctuation in a spatially extended tumor system. We introduce firstly the structure factor to reveal the invasive tumor growth quantitatively. The homogenous environment can…

Other Quantitative Biology · Quantitative Biology 2009-11-13 Wei-Rong Zhong , Yuan-Zhi Shao , Li Li , Feng-Hua Wang , Zhen-Hui He

Brain tumor segmentation is one of the most challenging problems in medical image analysis. The goal of brain tumor segmentation is to generate accurate delineation of brain tumor regions. In recent years, deep learning methods have shown…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Zhihua Liu , Lei Tong , Zheheng Jiang , Long Chen , Feixiang Zhou , Qianni Zhang , Xiangrong Zhang , Yaochu Jin , Huiyu Zhou

Recent developments in engineering techniques for spatial data collection such as geographic information systems have resulted in an increasing need for methods to analyze large spatial data sets. These sorts of data sets can be found in…

Methodology · Statistics 2020-08-14 Toshihiro Hirano

Set prediction is about learning to predict a collection of unordered variables with unknown interrelations. Training such models with set losses imposes the structure of a metric space over sets. We focus on stochastic and underdefined…

Machine Learning · Computer Science 2021-02-23 David W. Zhang , Gertjan J. Burghouts , Cees G. M. Snoek

Recent advances in cancer research largely rely on new developments in microscopic or molecular profiling techniques offering high level of detail with respect to either spatial or molecular features, but usually not both. Here, we present…

Melanoma represents a critical health risk due to its aggressive progression and high mortality, underscoring the need for early, interpretable diagnostic tools. While deep learning has advanced in skin lesion classification, most existing…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Ciro Listone , Aniello Murano

Predicting company growth is a critical yet challenging task because observed dynamics blend an underlying structural growth trend with volatile fluctuations. Here, we propose a Scaling-Theory-Informed Machine Learning (STIML) framework…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Ruyi Tao , Veronica R. Cappelli , Kaiwei Liu , Marcus J. Hamilton , Christopher P. Kempes , Geoffrey B. Wes , Jiang Zhang

Cancer is a very complex phenomenon that involves many different scales and situations. In this paper we consider a free boundary problem describing the evolution of a tumor colony and we derive a new asymptotic model for tumor growth. We…

Analysis of PDEs · Mathematics 2025-04-15 Rafael Granero-Belinchón , Martina Magliocca

Understanding temporal dynamics in medical imaging is crucial for applications such as disease progression modeling, treatment planning and anatomical development tracking. However, most deep learning methods either consider only single…

Computer Vision and Pattern Recognition · Computer Science 2025-09-01 Nico Albert Disch , Yannick Kirchhoff , Robin Peretzke , Maximilian Rokuss , Saikat Roy , Constantin Ulrich , David Zimmerer , Klaus Maier-Hein

Estimation of Markov Random Field and covariance models from high-dimensional data represents a canonical problem that has received a lot of attention in the literature. A key assumption, widely employed, is that of {\em sparsity} of the…

Optimization and Control · Mathematics 2018-05-16 Davoud Ataee Tarzanagh , George Michailidis

With this paper, we survey techniques for improving the predictive accuracy of pretrained large language models by allocating additional compute at inference time. In categorizing test-time scaling methods, we place special emphasis on how…

Computation and Language · Computer Science 2025-11-20 Zhuoyi Yang , Xu Guo , Tong Zhang , Huijuan Xu , Boyang Li

Despite internal complexity, tumor growth kinetics follow relatively simple macroscopic laws that have been quantified by mathematical models. To resolve this further, quantitative and discriminant analyses were performed for the purpose of…

Quantitative Methods · Quantitative Biology 2014-09-02 Sébastien Benzekry , Clare Lamont , Afshin Beheshti , Amanda Tracz , John M. L. Ebos , Lynn Hlatky , Philip Hahnfeldt

Predicting the risk of developing breast cancer is an important clinical tool to guide early intervention and tailoring personalized screening strategies. Early risk models have limited performance and recently machine learning-based…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Zhengbo Zhou , Dooman Arefan , Margarita Zuley , Jules Sumkin , Shandong Wu

Many web systems rank and present a list of items to users, from recommender systems to search and advertising. An important problem in practice is to evaluate new ranking policies offline and optimize them before they are deployed. We…

Machine Learning · Computer Science 2018-06-15 Shuai Li , Yasin Abbasi-Yadkori , Branislav Kveton , S. Muthukrishnan , Vishwa Vinay , Zheng Wen

Purpose: Accurate segmentation of glioma subregions in multi-parametric MRI (MP-MRI) is essential for diagnosis and treatment planning but remains challenging due to tumor heterogeneity and ambiguous boundaries. This study proposes an…

Medical Physics · Physics 2025-07-22 Zhenyu Yang , Chen Yang , Rihui Zhang , Minbin Chen , Chunhao Wang , Fang-Fang Yin
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