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Modeling of complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of…

Logic · Mathematics 2010-12-27 Boris Kovalerchuk , Leonid Perlovsky , Gregory Wheeler

Fractal analysis has been shown to be useful in image processing for characterizing shape and gray-scale complexity. The fractal feature is a compact descriptor used to give a numerical measure of the degree of irregularity of the medical…

Computer Vision and Pattern Recognition · Computer Science 2014-09-17 Redouan Korchiyne , Sidi Mohamed Farssi , Abderrahmane Sbihi , Rajaa Touahni , Mustapha Tahiri Alaoui

Multimodal Mathematical Reasoning (MMR) has recently attracted increasing attention for its capability to solve mathematical problems involving both textual and visual modalities. However, current models still face significant challenges in…

Artificial Intelligence · Computer Science 2026-04-15 Tianyu Yang , Sihong Wu , Yilun Zhao , Zhenwen Liang , Lisen Dai , Chen Zhao , Minhao Cheng , Arman Cohan , Xiangliang Zhang

Asymmetric combination of logics is a formal process that develops the characteristic features of a specific logic on top of another one. Typical examples include the development of temporal, hybrid, and probabilistic dimensions over a…

Logic · Mathematics 2017-05-10 Renato Neves , Alexandre Madeira , Luis S. Barbosa , Manuel A. Martins

Large language models (LLMs) have emerged as powerful general-purpose interfaces for many machine learning problems. Recent work has adapted LLMs to generative visual tasks like image captioning, visual question answering, and visual chat,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Piotr Teterwak , Ximeng Sun , Bryan A. Plummer , Kate Saenko , Ser-Nam Lim

Compositional generalization is the ability of a model to generalize to complex, previously unseen types of combinations of entities from just having seen the primitives. This type of generalization is particularly relevant to the semantic…

Computation and Language · Computer Science 2024-04-23 Amogh Mannekote

Low-light image enhancement (LLIE) is a fundamental yet challenging task due to the presence of noise, loss of detail, and poor contrast in images captured under insufficient lighting conditions. Recent methods often rely solely on…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Alexandru Brateanu , Raul Balmez , Ciprian Orhei , Codruta Ancuti , Cosmin Ancuti

This study seeks a better comprehension of anomalies by exploring (n+1)-point perturbative amplitudes in a 2n-dimensional framework. The involved structures combine axial and vector vertices into odd tensors. This configuration enables…

High Energy Physics - Theory · Physics 2024-02-09 José Fernando Thuorst , Luciana Ebani , Thalis José Girardi

We introduce monoidal width as a measure of complexity for morphisms in monoidal categories. Inspired by well-known structural width measures for graphs, like tree width and rank width, monoidal width is based on a notion of syntactic…

Logic in Computer Science · Computer Science 2024-02-14 Elena Di Lavore , Paweł Sobociński

Vision-language models (VLMs) like CLIP have showcased a remarkable ability to extract transferable features for downstream tasks. Nonetheless, the training process of these models is usually based on a coarse-grained contrastive loss…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Ali Abdollah , Amirmohammad Izadi , Armin Saghafian , Reza Vahidimajd , Mohammad Mozafari , Amirreza Mirzaei , Mohammadmahdi Samiei , Mahdieh Soleymani Baghshah

Metric learning seeks to embed images of objects suchthat class-defined relations are captured by the embeddingspace. However, variability in images is not just due to different depicted object classes, but also depends on other latent…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Karsten Roth , Biagio Brattoli , Björn Ommer

Art, as a universal language, can be interpreted in diverse ways, with artworks embodying profound meanings and nuances. The advent of Large Language Models (LLMs) and the availability of Multimodal Large Language Models (MLLMs) raise the…

Computation and Language · Computer Science 2025-02-10 Afshin Khadangi , Amir Sartipi , Igor Tchappi , Gilbert Fridgen

A class of parametric functions formed by alternating compositions of multivariate polynomials and rectification style monomial maps is studied (the layer-wise exponents are treated as fixed hyperparameters and are not optimized). For this…

Optimization and Control · Mathematics 2026-02-13 Shravan Mohan

Multimodal Large Language Models (MLLMs) perform well in single-image visual grounding but struggle with real-world tasks that demand cross-image reasoning and multi-modal instructions. To address this, we adopt a reinforcement learning…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Bob Zhang , Haoran Li , Tao Zhang , Jianan Li , Cilin Yan , Xikai Liu , Jiayin Cai , Yanbin Hao

Multimodal Large Language Models (MLLMs) have demonstrated an excellent understanding of images and 3D data. However, both modalities have shortcomings in holistically capturing the appearance and geometry of objects. Meanwhile, Neural…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Andrea Amaduzzi , Pierluigi Zama Ramirez , Giuseppe Lisanti , Samuele Salti , Luigi Di Stefano

Understanding how humans perceive visual complexity is a key area of study in visual cognition. Previous approaches to modeling visual complexity assessments have often resulted in intricate, difficult-to-interpret algorithms that employ…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Karahan Sarıtaş , Peter Dayan , Tingke Shen , Surabhi S Nath

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

In this work we present a numerical framework for studying the interaction of structured electromagnetic fields, i.e., light pulses carrying orbital angular momentum (OAM), interacting with a single layer of graphene. Our approach is based…

Optics · Physics 2024-10-17 Yaraslau Tamashevich , Marco Ornigotti

Nonnegative matrix factorization (NMF) is one of the most frequently-used matrix factorization models in data analysis. A significant reason to the popularity of NMF is its interpretability and the `parts of whole' interpretation of its…

Machine Learning · Computer Science 2018-01-19 Sanjar Karaev , James Hook , Pauli Miettinen

Vision-Language Models (VLMs) have shown remarkable performance in integrating visual and textual information for tasks such as image captioning and visual question answering. However, these models struggle with compositional generalization…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Ashwath Vaithinathan Aravindan , Abha Jha , Mihir Kulkarni