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Related papers: Discovering Ordinary Differential Equations with L…

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Ordinary Differential Equations are widespread tools to model chemical, physical, biological process but they usually rely on parameters which are of critical importance in terms of dynamic and need to be estimated directly from the data.…

Methodology · Statistics 2014-10-29 Nicolas Brunel , Quentin Clairon

This short, self-contained article seeks to introduce and survey continuous-time deep learning approaches that are based on neural ordinary differential equations (neural ODEs). It primarily targets readers familiar with ordinary and…

Machine Learning · Computer Science 2024-01-09 Lars Ruthotto

Symbolic regression (SR) aims to discover explicit mathematical expressions that explain observed data and is widely used in domains where interpretability is essential. Because interpretability requires expressions to reflect meaningful…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Koki Ikeda , Masahiro Nomura , Ryoki Hamano

We introduce kLog, a novel approach to statistical relational learning. Unlike standard approaches, kLog does not represent a probability distribution directly. It is rather a language to perform kernel-based learning on expressive logical…

Artificial Intelligence · Computer Science 2014-10-17 Paolo Frasconi , Fabrizio Costa , Luc De Raedt , Kurt De Grave

Multimodal Large Language Models (MLLMs) possess intrinsic reasoning and world-knowledge capabilities, yet adapting them for dense retrieval remains challenging. Existing approaches rely on invasive parameter updates, such as full…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Haoran Lou , Ziyan Liu , Chunxiao Fan , Yuexin Wu , Yue Ming , Hao Wu , Kai Zuo , Yibo Chen , Xu Tang

While Large Language Models (LLMs) provide semantic flexibility for robotic task planning, their susceptibility to hallucination and logical inconsistency limits their reliability in long-horizon domains. To bridge the gap between…

Artificial Intelligence · Computer Science 2026-03-26 Keru Hua , Ding Wang , Yaoying Gu , Xiaoguang Ma

Large language model (LLM) driven synthetic data generation has emerged as a powerful method for improving model reasoning capabilities. However, most methods either distill large state-of-the-art models into small students or use natural…

Machine Learning · Computer Science 2025-06-18 Alex Havrilla , Edward Hughes , Mikayel Samvelyan , Jacob Abernethy

Recent advances in diffusion large language models (dLLMs) have introduced a promising alternative to autoregressive (AR) LLMs for natural language generation tasks, leveraging full attention and denoising-based decoding strategies.…

Computation and Language · Computer Science 2026-03-17 Haokun Lin , Haobo Xu , Yichen Wu , Ziyu Guo , Renrui Zhang , Zhichao Lu , Ying Wei , Qingfu Zhang , Zhenan Sun

Equation discovery from data is a central challenge in machine learning for science, which requires the recovery of concise symbolic expressions that govern complex physical and geometric phenomena. Recent large language model (LLM)…

Machine Learning · Computer Science 2026-03-04 Sanchit Kabra , Shobhnik Kriplani , Parshin Shojaee , Chandan K. Reddy

The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their ability to surpass, particularly in terms of accuracy,…

Numerical Analysis · Mathematics 2023-08-23 Ziad Aldirany , Régis Cottereau , Marc Laforest , Serge Prudhomme

We propose the Data Contamination Quiz (DCQ), a simple and effective approach to detect data contamination in large language models (LLMs) and estimate the amount of it. Specifically, we frame data contamination detection as a series of…

Computation and Language · Computer Science 2025-04-29 Shahriar Golchin , Mihai Surdeanu

A natural and intuitive idea in model quantization is to approximate each component's quantized output to match its original. Motivated by this idea, most layer-wise post-training quantization (PTQ) methods focus on weight approximation at…

Machine Learning · Computer Science 2026-01-28 Li Lin , Xiaojun Wan

Visual Question Answering (VQA) is the task of answering a question about an image and requires processing multimodal input and reasoning to obtain the answer. Modular solutions that use declarative representations within the reasoning…

Artificial Intelligence · Computer Science 2024-10-15 Thomas Eiter , Jan Hadl , Nelson Higuera , Johannes Oetsch

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Many scientific phenomena are modeled by Partial Differential Equations (PDEs). The development of data gathering tools along with the advances in machine learning (ML) techniques have raised opportunities for data-driven identification of…

Machine Learning · Computer Science 2021-05-05 Kazem Meidani , Amir Barati Farimani

Large Language Model (LLM) inference systems present significant challenges in statistical performance characterization due to dynamic workload variations, diverse hardware architectures, and complex interactions between model size, batch…

Performance · Computer Science 2025-05-15 Kaustabha Ray , Nelson Mimura Gonzalez , Bruno Wassermann , Rachel Tzoref-Brill , Dean H. Lorenz

Relational learning is a challenging problem that has motivated a wide range of approaches, including graph-based models (e.g., graph neural networks, graph transformers), tabular methods (e.g., tabular foundation models), and…

Machine Learning · Computer Science 2026-05-11 Xingyue Huang , Louis Tichelman , Jinwoo Kim , Krzysztof Olejniczak , İsmail İlkan Ceylan

We develop a transformer-based sequence-to-sequence model that recovers scalar ordinary differential equations (ODEs) in symbolic form from irregularly sampled and noisy observations of a single solution trajectory. We demonstrate in…

Machine Learning · Computer Science 2023-07-25 Sören Becker , Michal Klein , Alexander Neitz , Giambattista Parascandolo , Niki Kilbertus

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

Neural and Evolutionary Computing · Computer Science 2021-08-02 William La Cava , Patryk Orzechowski , Bogdan Burlacu , Fabrício Olivetti de França , Marco Virgolin , Ying Jin , Michael Kommenda , Jason H. Moore

A better understanding of dispersion in natural streams requires knowledge of longitudinal dispersion coefficient(LDC). Various methods have been proposed for predictions of LDC. Those studies can be grouped into three types: analytical,…

Machine Learning · Computer Science 2021-07-19 Yifeng Zhao , Zicheng Liu , Pei Zhang , S. A. Galindo-Torres , Stan Z. Li
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