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We introduce Geometric Kolmogorov--Arnold Networks (GeoKANs), a family of geometry-aware KAN-type models in which approximation is carried out in learned, geometry-adapted coordinates rather than in fixed Euclidean input coordinates. GeoKAN…

Machine Learning · Computer Science 2026-05-11 Abhijit Sen , Bikram Keshari Parida , Giridas Maiti , Mahima Arya , Denys I. Bondar

A new Kolmogorov-Arnold network (KAN) is proposed to approximate potentially irregular functions in high dimensions. We provide error bounds for this approximation, assuming that the Kolmogorov-Arnold expansion functions are sufficiently…

Machine Learning · Computer Science 2026-05-05 Xavier Warin

This paper introduces Kolmogorov-Arnold Networks (KAN) as an enhancement to the traditional linear probing method in transfer learning. Linear probing, often applied to the final layer of pre-trained models, is limited by its inability to…

Machine Learning · Computer Science 2024-09-13 Sheng Shen , Rabih Younes

Kolmogorov-Arnold Networks (KANs) are a class of neural networks that have received increased attention in recent literature. In contrast to MLPs, KANs leverage parameterized, trainable activation functions and offer several benefits…

Machine Learning · Computer Science 2025-11-14 Jamison Moody , James Usevitch

The computation of dynamical correlators of quantum many-body systems represents an open critical challenge in condensed matter physics. While powerful methodologies have risen in recent years, covering the full parameter space remains…

Strongly Correlated Electrons · Physics 2022-11-15 Rouven Koch , Jose L. Lado

Adversarial Regression is a proposition to perform high dimensional non-linear regression with uncertainty estimation. We used Conditional Generative Adversarial Network to obtain an estimate of the full predictive distribution for a new…

Machine Learning · Statistics 2019-10-22 Yoann Boget

In traditional generative modeling, good data representation is very often a base for a good machine learning model. It can be linked to good representations encoding more explanatory factors that are hidden in the original data. With the…

Machine Learning · Computer Science 2019-04-01 Maciej Zamorski , Adrian Zdobylak , Maciej Zięba , Jerzy Świątek

This paper presents the application of Kolmogorov-Arnold Networks (KAN) in classifying metal surface defects. Specifically, steel surfaces are analyzed to detect defects such as cracks, inclusions, patches, pitted surfaces, and scratches.…

Machine Learning · Computer Science 2025-01-22 Maciej Krzywda , Mariusz Wermiński , Szymon Łukasik , Amir H. Gandomi

We present the first generative adversarial network (GAN) for natural image matting. Our novel generator network is trained to predict visually appealing alphas with the addition of the adversarial loss from the discriminator that is…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Sebastian Lutz , Konstantinos Amplianitis , Aljosa Smolic

Generative Adversarial Networks (GANs) are a recent advancement in unsupervised machine learning. They are a cat-and-mouse game between two neural networks: [1] a discriminator network which learns to validate whether a sample is real or…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-23 Olivia Curtis , Tereasa G. Brainerd

Our main motivation is to propose an efficient approach to generate novel multi-element stable chemical compounds that can be used in real world applications. This task can be formulated as a combinatorial problem, and it takes many hours…

Machine Learning · Computer Science 2019-05-28 Asma Nouira , Nataliya Sokolovska , Jean-Claude Crivello

The modern digital engineering design often requires costly repeated simulations for different scenarios. The prediction capability of neural networks (NNs) makes them suitable surrogates for providing design insights. However, only a few…

Computational Engineering, Finance, and Science · Computer Science 2024-08-08 Diab W. Abueidda , Panos Pantidis , Mostafa E. Mobasher

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Generative Adversarial Networks (GAN) are generative neural networks which can be trained to implicitly model the…

Neural and Evolutionary Computing · Computer Science 2016-08-09 Malte Probst

Quantum computers are gaining attention for their ability to solve certain problems faster than classical computers, and one example is the quantum expectation estimation algorithm that accelerates the widely-used Monte Carlo method in…

Quantum Physics · Physics 2023-08-11 Yuichi Sano , Ryosuke Koga , Masaya Abe , Kei Nakagawa

Quantum machine learning is expected to be one of the first potential general-purpose applications of near-term quantum devices. A major recent breakthrough in classical machine learning is the notion of generative adversarial training,…

Quantum Physics · Physics 2018-08-01 Pierre-Luc Dallaire-Demers , Nathan Killoran

Generative adversarial learning is currently one of the most prolific fields in artificial intelligence due to its great performance in a variety of challenging tasks such as photorealistic image and video generation. While a quantum…

Quantum Physics · Physics 2022-05-27 Zichao Huang , Yuanyuan Chen , Lixiang Chen

The Kolmogorov-Arnold representation theorem offers a theoretical alternative to Multi-Layer Perceptrons (MLPs) by placing learnable univariate functions on edges rather than nodes. While recent implementations such as Kolmogorov-Arnold…

Machine Learning · Computer Science 2026-01-28 Oscar Eliasson

This work investigates Kolmogorov-Arnold network-based wavefunction ansatz as viable representations for quantum Monte Carlo simulations. Through systematic analysis of one-dimensional model systems, we evaluate their computational…

Nuclear Theory · Physics 2025-06-04 Paulo F. Bedaque , Jacob Cigliano , Hersh Kumar , Srijit Paul , Suryansh Rajawat

Some of the most impressive achievements of contemporary Machine Learning systems comes from the GAN (Generative Adversarial Network) structure. DALLE-2 and GPT- 3, two of the most impressive and recognizable feats of ML in recent years,…

Quantum Physics · Physics 2023-10-31 C. Strynar , R. M. Rajapakse

This paper presents an experimental study of Kolmogorov-Arnold Networks (KANs) applied to computer vision tasks, particularly image classification. KANs introduce learnable activation functions on edges, offering flexible non-linear…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Karthik Mohan , Hanxiao Wang , Xiatian Zhu