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Discriminative latent variable models (LVM) are frequently applied to various visual recognition tasks. In these systems the latent (hidden) variables provide a formalism for modeling structured variation of visual features. Conventionally,…

Computer Vision and Pattern Recognition · Computer Science 2015-07-09 Hossein Azizpour , Mostafa Arefiyan , Sobhan Naderi Parizi , Stefan Carlsson

Artificial intelligence (AI) has achieved human-level performance in specialized tasks such as Go, image recognition, and protein folding, raising the prospect of an AI singularity-where machines not only match but surpass human reasoning.…

Fluid Dynamics · Physics 2025-12-30 Zhongxin Yang , Yuanwei Bin , Yipeng Shi , Xiang I. A. Yang

Modern engineered systems increasingly involve complex sociotechnical environments where multiple agents, including humans and the emerging paradigm of agentic AI powered by large language models, must navigate social dilemmas that pit…

Artificial Intelligence · Computer Science 2025-10-28 Qiliang Chen , Sepehr Ilami , Nunzio Lore , Babak Heydari

The advent of large language models (LLMs) has catalyzed a transformative shift in artificial intelligence, paving the way for advanced intelligent agents capable of sophisticated reasoning, robust perception, and versatile action across…

We propose a novel probabilistic framework, termed LVM-GP, for uncertainty quantification in solving forward and inverse partial differential equations (PDEs) with noisy data. The core idea is to construct a stochastic mapping from the…

Machine Learning · Statistics 2025-07-31 Xiaodong Feng , Ling Guo , Xiaoliang Wan , Hao Wu , Tao Zhou , Wenwen Zhou

We develop a theory of intelligent agency grounded in probabilistic modeling for neural models. Agents are represented as outcome distributions with epistemic utility given by log score, and compositions are defined through weighted…

Machine Learning · Computer Science 2026-05-13 Su Hyeong Lee , Risi Kondor , Richard Ngo

Advances in neural variational inference have facilitated the learning of powerful directed graphical models with continuous latent variables, such as variational autoencoders. The hope is that such models will learn to represent rich,…

Computation and Language · Computer Science 2017-09-26 Iulian V. Serban , Alexander G. Ororbia , Joelle Pineau , Aaron Courville

Memory plays a foundational role in augmenting the reasoning, adaptability, and contextual fidelity of modern Large Language Models and Multi-Modal LLMs. As these models transition from static predictors to interactive systems capable of…

Artificial Intelligence · Computer Science 2026-01-15 Zixia Jia , Jiaqi Li , Yipeng Kang , Yuxuan Wang , Tong Wu , Quansen Wang , Xiaobo Wang , Shuyi Zhang , Junzhe Shen , Qing Li , Siyuan Qi , Yitao Liang , Di He , Zilong Zheng , Song-Chun Zhu

Large Language Models (LLMs) have emerged as a transformative AI paradigm, profoundly influencing daily life through their exceptional language understanding and contextual generation capabilities. Despite their remarkable performance, LLMs…

Artificial Intelligence · Computer Science 2024-12-10 Yedi Zhang , Yufan Cai , Xinyue Zuo , Xiaokun Luan , Kailong Wang , Zhe Hou , Yifan Zhang , Zhiyuan Wei , Meng Sun , Jun Sun , Jing Sun , Jin Song Dong

Recent works have argued that high-level semantic concepts are encoded "linearly" in the representation space of large language models. In this work, we study the origins of such linear representations. To that end, we introduce a simple…

Computation and Language · Computer Science 2024-03-07 Yibo Jiang , Goutham Rajendran , Pradeep Ravikumar , Bryon Aragam , Victor Veitch

Prognosis and Health Management (PHM), critical for ensuring task completion by complex systems and preventing unexpected failures, is widely adopted in aerospace, manufacturing, maritime, rail, energy, etc. However, PHM's development is…

The commonly used latent space embedding techniques, such as Principal Component Analysis, Factor Analysis, and manifold learning techniques, are typically used for learning effective representations of homogeneous data. However, they do…

Machine Learning · Computer Science 2021-10-04 Yasin Yilmaz , Mehmet Aktukmak , Alfred O. Hero

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Generative artificial intelligence (AI) models, such as diffusion models and OpenAI's ChatGPT, are transforming medicine by enhancing diagnostic accuracy and automating clinical workflows. The field has advanced rapidly, evolving from…

Artificial Intelligence · Computer Science 2025-08-28 Lukas Buess , Matthias Keicher , Nassir Navab , Andreas Maier , Soroosh Tayebi Arasteh

Variational Autoencoders are powerful models for unsupervised learning. However deep models with several layers of dependent stochastic variables are difficult to train which limits the improvements obtained using these highly expressive…

Machine Learning · Statistics 2016-05-30 Casper Kaae Sønderby , Tapani Raiko , Lars Maaløe , Søren Kaae Sønderby , Ole Winther

Multilevel models (MLMs) are a central building block of the Bayesian workflow. They enable joint, interpretable modeling of data across hierarchical levels and provide a fully probabilistic quantification of uncertainty. Despite their…

This paper introduces a class of generalised linear models (GLMs) driven by latent processes for modelling count, real-valued, binary, and positive continuous time series. Extending earlier latent-process regression frameworks based on…

Methodology · Statistics 2026-02-19 Wagner Barreto-Souza , Ngai Hang Chan

How should future neural reasoning systems implement extended computation? Recursive Reasoning Models (RRMs) offer a promising alternative to autoregressive sequence extension by performing iterative latent-state refinement with shared…

Artificial Intelligence · Computer Science 2026-05-21 Junyeob Baek , Mingyu Jo , Minsu Kim , Mengye Ren , Yoshua Bengio , Sungjin Ahn

The Web of Agents (WoA) transforms the document-centric Web into an environment of autonomous agents acting on users' behalf, a vision newly tractable as large language models (LLMs) mature. We argue that across three decades the WoA has…

Artificial Intelligence · Computer Science 2026-05-26 Tatiana Petrova , Boris Bliznioukov , Aleksandr Puzikov , Radu State

The main drawback of using generative AI models for advanced mathematics is that these models are not primarily logical reasoning engines. However, Large Language Models, and their refinements, can pick up on patterns in higher mathematics…

History and Overview · Mathematics 2025-12-19 Lisa Carbone
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