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Persistent homology analysis provides means to capture the connectivity structure of data sets in various dimensions. On the mathematical level, by defining a metric between the objects that persistence attaches to data sets, we can…

机器学习 · 计算机科学 2019-06-12 Henri Riihimäki , José Licón-Saláiz

The rapid growth of resource-constrained mobile platforms, including mobile robots, wearable systems, and Internet-of-Things devices, has increased the demand for computationally efficient neural network controllers (NNCs) that can operate…

机器人学 · 计算机科学 2025-08-12 Ganesh Sundaram , Jonas Ulmen , Amjad Haider , Daniel Görges

We propose TopoFlow (Topography-aware pollutant Flow learning), a physics-guided neural network for efficient, high-resolution air quality prediction. To explicitly embed physical processes into the learning framework, we identify two…

机器学习 · 计算机科学 2026-04-13 Ammar Kheder , Helmi Toropainen , Wenqing Peng , Samuel Antão , Jia Chen , Michael Boy , Zhi-Song Liu

Large Language Models (LLMs) achieve strong performance across diverse tasks but face prohibitive computational and memory costs. Pruning offers a promising path by inducing sparsity while preserving architectural flexibility. However,…

机器学习 · 计算机科学 2025-12-10 Yizhuo Ding , Wanying Qu , Jiawei Geng , Wenqi Shao , Yanwei Fu

Real data is often given as a point cloud, i.e. a finite set of points with pairwise distances between them. An important problem is to detect the topological shape of data --- for example, to approximate a point cloud by a low-dimensional…

代数拓扑 · 数学 2018-10-09 Sara Kalisnik Verovsek , Vitaliy Kurlin , Davorin Lesnik

Evolutionary Computation algorithms have been used to solve optimization problems in relation with architectural, hyper-parameter or training configuration, forging the field known today as Neural Architecture Search. These algorithms have…

神经与进化计算 · 计算机科学 2024-02-06 Javier Poyatos , Daniel Molina , Aitor Martínez , Javier Del Ser , Francisco Herrera

Topological data analysis and its main method, persistent homology, provide a toolkit for computing topological information of high-dimensional and noisy data sets. Kernels for one-parameter persistent homology have been established to…

机器学习 · 计算机科学 2019-06-06 René Corbet , Ulderico Fugacci , Michael Kerber , Claudia Landi , Bei Wang

This paper presents a mathematically rigorous framework for brain-inspired representation learning founded on the interplay between persistent topological structures and cohomological flows. Neural computation is reformulated as the…

机器学习 · 计算机科学 2025-12-10 Preksha Girish , Rachana Mysore , Mahanthesha U , Shrey Kumar , Shipra Prashant

Structured pruning methods are developed to bridge the gap between the massive scale of neural networks and the limited hardware resources. Most current structured pruning methods rely on training datasets to fine-tune the compressed model,…

机器学习 · 计算机科学 2024-03-14 Siqi Li , Jun Chen , Jingyang Xiang , Chengrui Zhu , Yong Liu

Geometry and topology constitute complementary descriptors of three-dimensional shape, yet existing benchmark datasets primarily capture geometric information while neglecting topological structure. This work addresses this limitation by…

计算机视觉与模式识别 · 计算机科学 2026-02-17 Prachi Kudeshia , Jiju Poovvancheri

The stability of chemically complex nanoparticles is governed by an immense configurational space arising from heterogeneous local atomic environments across surface and interior regions. Efficiently identifying low-energy configurations…

We propose a topology-constrained quantized nnUNet framework for efficient and anatomically accurate 3D tooth segmentation, addressing the challenges of spatial distortion introduced by quantization in deep learning models. The proposed…

计算机视觉与模式识别 · 计算机科学 2026-05-07 Paarth Prasad , Ruchika Malhotra

Ensemble learning remains a cornerstone of machine learning, with stacking used to integrate predictions from multiple base learners through a meta-model. However, deep stacking remains uncommon due to feature redundancy, complexity, and…

机器学习 · 计算机科学 2026-03-03 Çağatay Demirel

Recent advances in vision-language models (VLMs) have shown remarkable performance across multimodal tasks, yet their ever-growing scale poses severe challenges for deployment and efficiency. Existing compression methods often rely on…

计算机视觉与模式识别 · 计算机科学 2025-11-26 Zhaoqi Xu , Yingying Zhang , Jian Li , Jianwei Guo , Qiannan Zhu , Hua Huang

Appropriately representing elements in a database so that queries may be accurately matched is a central task in information retrieval; recently, this has been achieved by embedding the graphical structure of the database into a manifold in…

机器学习 · 统计学 2023-07-10 Yueqi Cao , Athanasios Vlontzos , Luca Schmidtke , Bernhard Kainz , Anthea Monod

We propose PLLay, a novel topological layer for general deep learning models based on persistence landscapes, in which we can efficiently exploit the underlying topological features of the input data structure. In this work, we show…

机器学习 · 计算机科学 2021-01-19 Kwangho Kim , Jisu Kim , Manzil Zaheer , Joon Sik Kim , Frederic Chazal , Larry Wasserman

Neural networks encode inputs as high-dimensional vectors, known as representations, that capture how models process data by encoding task-relevant structure and semantics. Representation alignment refers to the degree to which different…

计算几何 · 计算机科学 2026-05-26 Xinyuan Yan , Rita Sevastjanova , Mennatallah El-Assady , Bei Wang

The rapid advancement of artificial intelligence (AI) has been marked by the large language models exhibiting human-like intelligence. However, these models also present unprecedented challenges to energy consumption and environmental…

Topological correctness is critical for segmentation of tubular structures, which pervade in biomedical images. Existing topological segmentation loss functions are primarily based on the persistent homology of the image. They match the…

计算机视觉与模式识别 · 计算机科学 2025-10-29 Bo Wen , Haochen Zhang , Dirk-Uwe G. Bartsch , William R. Freeman , Truong Q. Nguyen , Cheolhong An

In recent years, topological data analysis has been utilized for a wide range of problems to deal with high dimensional noisy data. While text representations are often high dimensional and noisy, there are only a few work on the…

机器学习 · 计算机科学 2020-04-21 Shafie Gholizadeh , Armin Seyeditabari , Wlodek Zadrozny