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Softmax routing approaches hard top-1 routing as the temperature tends to zero, but the limiting passage is singular at router ties. This paper develops a boundary-layer calculus for this soft-to-hard limit in population squared-loss…

Machine Learning · Computer Science 2026-05-26 Reza Rastegar

Regularization in modern machine learning is crucial, and it can take various forms in algorithmic design: training set, model family, error function, regularization terms, and optimizations. In particular, the learning rate, which can be…

Machine Learning · Computer Science 2023-12-04 Yefan Zhou , Tianyu Pang , Keqin Liu , Charles H. Martin , Michael W. Mahoney , Yaoqing Yang

Despite the impressive generalization capabilities of deep neural networks, they have been repeatedly shown to be overconfident when they are wrong. Fixing this issue is known as model calibration, and has consequently received much…

Machine Learning · Computer Science 2024-02-15 Muthu Chidambaram , Rong Ge

Recently, the robustness of deep learning models has received widespread attention, and various methods for improving model robustness have been proposed, including adversarial training, model architecture modification, design of loss…

Machine Learning · Computer Science 2023-03-23 Hao Wang , Chen Li , Jinzhe Jiang , Xin Zhang , Yaqian Zhao , Weifeng Gong

The softmax representation of probabilities for categorical variables plays a prominent role in modern machine learning with numerous applications in areas such as large scale classification, neural language modeling and recommendation…

Machine Learning · Statistics 2016-11-01 Michalis K. Titsias

Class probabilities predicted by most multiclass classifiers are uncalibrated, often tending towards over-confidence. With neural networks, calibration can be improved by temperature scaling, a method to learn a single corrective…

Machine Learning · Computer Science 2019-10-29 Meelis Kull , Miquel Perello-Nieto , Markus Kängsepp , Telmo Silva Filho , Hao Song , Peter Flach

In context of laser powder bed fusion (L-PBF), it is known that the properties of the final fabricated product highly depend on the temperature distribution and its gradient over the manufacturing plate. In this paper, we propose a novel…

Artificial Intelligence · Computer Science 2023-01-31 Ashkan Mansouri Yarahmadi , Michael Breuß , Carsten Hartmann

Various combinations of characteristic temperatures, such as the glass transition temperature, liquidus temperature, and crystallization temperature, have been proposed as predictions of the glass forming ability of metal alloys. We have…

Indoor thermal comfort in smart buildings has a significant impact on the health and performance of occupants. Consequently, machine learning (ML) is increasingly used to solve challenges related to indoor thermal comfort. Temporal…

Machine Learning · Computer Science 2022-08-23 Betty Lala , Srikant Manas Kala , Anmol Rastogi , Kunal Dahiya , Aya Hagishima

Accurate prediction of phase equilibria remains a central challenge in chemical engineering. Physics-consistent machine learning methods that incorporate thermodynamic structure into neural networks have recently shown strong performance…

Machine Learning · Computer Science 2026-03-17 Karim K. Ben Hicham , Moreno Ascani , Jan G. Rittig , Alexander Mitsos

Deep embedding learning is expected to learn a metric space in which features have smaller maximal intra-class distance than minimal inter-class distance. In recent years, one research focus is to solve the open-set problem by…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Hao Zhu , Yang Yuan , Guosheng Hu , Xiang Wu , Neil Robertson

Thermal issue is a major concern in 3D integrated circuit (IC) design. Thermal optimization of 3D IC often requires massive expensive PDE simulations. Neural network-based thermal prediction models can perform real-time prediction for many…

Machine Learning · Computer Science 2023-02-28 Ziyue Liu , Yixing Li , Jing Hu , Xinling Yu , Shinyu Shiau , Xin Ai , Zhiyu Zeng , Zheng Zhang

Microclimate models are essential for linking climate to ecological processes, yet most physically based frameworks estimate temperature independently for each spatial unit and rely on simplified representations of lateral heat exchange. As…

Machine Learning · Computer Science 2026-03-17 Idan Sulami , Alon Itzkovitch , Michael R. Kearney , Moni Shahar , Ofir Levy

Thermal analysis is crucial in 3D-IC design due to increased power density and complex heat dissipation paths. Although operator learning frameworks such as DeepOHeat~\cite{liu2023deepoheat} have demonstrated promising preliminary results…

Machine Learning · Computer Science 2025-10-13 Xinling Yu , Ziyue Liu , Hai Li , Yixing Li , Xin Ai , Zhiyu Zeng , Ian Young , Zheng Zhang

Latent categorical variables are frequently found in deep learning architectures. They can model actions in discrete reinforcement-learning environments, represent categories in latent-variable models, or express relations in graph neural…

Machine Learning · Computer Science 2026-05-14 Alessandro Manenti , Cesare Alippi

Solid-state cooling based on i-caloric effects may be an alternative to conventional vapor-compression refrigeration systems. The adiabatic temperature change ($\Delta T_{S}$) is one of the parameters that characterize the i-caloric…

Materials Science · Physics 2023-03-28 A. M. G. Carvalho , W. Imamura

Data-driven modeling and control of temperature dynamics in mechatronics systems and industrial processes are challenging control engineering problems. This is mainly because the temperature dynamics is inherently infinite-dimensional,…

Systems and Control · Electrical Eng. & Systems 2019-08-08 Aleksandar Haber

Indoor thermal comfort immensely impacts the health and performance of occupants. Therefore, researchers and engineers have proposed numerous computational models to estimate thermal comfort (TC). Given the impetus toward energy efficiency,…

Machine Learning · Computer Science 2022-04-27 Betty Lala , Hamada Rizk , Srikant Manas Kala , Aya Hagishima

The prediction reliability of neural networks is important in many applications. Specifically, in safety-critical domains, such as cancer prediction or autonomous driving, a reliable confidence of model's prediction is critical for the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Byeongmoon Ji , Hyemin Jung , Jihyeun Yoon , Kyungyul Kim , Younghak Shin

In this paper, we utilize results from convex analysis and monotone operator theory to derive additional properties of the softmax function that have not yet been covered in the existing literature. In particular, we show that the softmax…

Optimization and Control · Mathematics 2018-08-23 Bolin Gao , Lacra Pavel