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Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

Materials Science · Physics 2024-08-28 Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa

Finding meaningful representations and distances of hierarchical data is important in many fields. This paper presents a new method for hierarchical data embedding and distance. Our method relies on combining diffusion geometry, a central…

Machine Learning · Computer Science 2023-05-31 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

The arrangement of network nodes in hyperbolic spaces has become a widely studied problem, motivated by numerous results suggesting the existence of hidden metric spaces behind the structure of complex networks. Although several methods…

Physics and Society · Physics 2023-02-06 Bianka Kovács , Gergely Palla

Realizing high-throughput aberration-corrected Scanning Transmission Electron Microscopy (STEM) exploration of atomic structures requires rapid tuning of multipole probe correctors while compensating for the inevitable drift of the optical…

Machine Learning · Computer Science 2026-01-28 Utkarsh Pratiush , Austin Houston , Richard Liu , Gerd Duscher , Sergei Kalinin

Accurate rib fracture identification and classification are essential for treatment planning. However, existing datasets often lack fine-grained annotations, particularly regarding rib fracture characterization, type, and precise anatomical…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Shripad Pate , Aiman Farooq , Suvrankar Datta , Musadiq Aadil Sheikh , Atin Kumar , Deepak Mishra

Packing objects efficiently is a fundamental problem in logistics, warehouse automation, and robotics. While traditional packing solutions focus on geometric optimization, packing irregular, 3D objects presents significant challenges due to…

Visual and semantic concepts are often structured in a hierarchical manner. For instance, textual concept `cat' entails all images of cats. A recent study, MERU, successfully adapts multimodal learning techniques from Euclidean space to…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Changli Wang , Fang Yin , Jiafeng Liu , Rui Wu

Hyperbolic Neural Networks (HNNs), operating in hyperbolic space, have been widely applied in recent years, motivated by the existence of an optimal embedding in hyperbolic space that can preserve data hierarchical relationships (termed…

Machine Learning · Computer Science 2024-02-06 Shicheng Tan , Huanjing Zhao , Shu Zhao , Yanping Zhang

Designing high-entropy alloys (HEAs) that are both mechanically hard and possess soft magnetic properties is inherently challenging, as a trade-off is needed for mechanical and magnetic properties. In this study, we optimize HEA…

Model merging is a technique that combines multiple large pretrained models into a single model with enhanced performance and broader task adaptability. It has gained popularity in large pretrained model development due to its ability to…

Machine Learning · Computer Science 2024-09-30 Yu Zhou , Xingyu Wu , Jibin Wu , Liang Feng , Kay Chen Tan

Many high-dimensional practical data sets have hierarchical structures induced by graphs or time series. Such data sets are hard to process in Euclidean spaces and one often seeks low-dimensional embeddings in other space forms to perform…

Machine Learning · Computer Science 2022-04-13 Chao Pan , Eli Chien , Puoya Tabaghi , Jianhao Peng , Olgica Milenkovic

The technique presented here identifies tethered mould designs, optimised for growing cultured tissue with very highly-aligned cells. It is based on a microscopic biophysical model for polarised cellular hydrogels. There is an unmet need…

Biological Physics · Physics 2023-06-26 James P. Hague , Allison E. Andrews , Hugh Dickinson

Multi-step reasoning remains a central challenge for large language models: single-pass generation is efficient but lacks accuracy; tree-search methods explore multiple paths but are computation-heavy. We address this gap by distilling…

Artificial Intelligence · Computer Science 2026-05-29 Yuyu Liu , Haotian Xu , Yanan He , Sarang Rajendra Patil , Mengjia Xu , Tengfei Ma

We present a new algorithm to design lightweight cellular materials with required properties in a multi-physics context. In particular, we focus on a thermo-mechanical setting, by promoting the design of unit cells characterized both by an…

Computational Engineering, Finance, and Science · Computer Science 2022-02-21 Matteo Gavazzoni , Nicola Ferro , Simona Perotto , Stefano Foletti

Adaptive mesh refinement is central to the efficient solution of partial differential equations (PDEs) via the finite element method (FEM). Classical $r$-adaptivity optimizes vertex positions but requires solving expensive auxiliary PDEs…

Computational Engineering, Finance, and Science · Computer Science 2026-05-26 Niccolò Grillo , James Rowbottom , Pietro Liò , Carola Bibiane Schönlieb , Stefania Fresca

Inspired by the necessity of morphological adaptation in animals, a growing body of work has attempted to expand robot training to encompass physical aspects of a robot's design. However, reinforcement learning methods capable of optimizing…

Robotics · Computer Science 2024-03-05 Muhan Li , David Matthews , Sam Kriegman

The rise of machine learning and additive manufacturing has enabled the design of architected materials with tailored properties that surpass those of natural materials. Inverse design offers a data-efficient alternative to trial-and-error…

Applied Physics · Physics 2026-04-30 Hirak Kansara , Leo Guo , Wei Tan

Obtaining continuous representations of structural data such as directed acyclic graphs (DAGs) has gained attention in machine learning and artificial intelligence. However, embedding complex DAGs in which both ancestors and descendants of…

Machine Learning · Computer Science 2019-05-16 Ryota Suzuki , Ryusuke Takahama , Shun Onoda

Aircraft design optimization traditionally relies on computationally expensive simulation techniques such as Finite Element Method (FEM) and Finite Volume Method (FVM), which, while accurate, can significantly slow down the design iteration…

Machine Learning · Computer Science 2026-03-03 Apurba Sarker

Adaptable models could greatly benefit robotic agents operating in the real world, allowing them to deal with novel and varying conditions. While approaches such as Bayesian inference are well-studied frameworks for adapting models to…

Machine Learning · Computer Science 2023-10-20 Orr Krupnik , Elisei Shafer , Tom Jurgenson , Aviv Tamar