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Large language models (LLMs) form implicit beliefs (posteriors over latent variables) from prompts, but we lack a mechanistic account of how these beliefs are encoded in representation space, how they update with new evidence, and how…

As we deploy autonomous agents in safety-critical domains, it becomes important to develop an understanding of their internal mechanisms and representations. We outline an approach to imitation learning for reverse-engineering black box…

Artificial Intelligence · Computer Science 2020-06-23 Tom Bewley , Jonathan Lawry , Arthur Richards

Most models of generative AI for images assume that images are inherently low-dimensional objects embedded within a high-dimensional space. Additionally, it is often implicitly assumed that thematic image datasets form smooth or piecewise…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Leah Bar , Liron Mor Yosef , Shai Zucker , Neta Shoham , Inbar Seroussi , Nir Sochen

In this paper, we show that the performance of a learnt generative model is closely related to the model's ability to accurately represent the inferred \textbf{latent data distribution}, i.e. its topology and structural properties. We…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Shuyu Lin , Ronald Clark

Large language models (LLMs) are pretrained by minimizing the cross-entropy loss for next-token prediction. In this paper, we study whether this optimization strategy can induce geometric structure in the learned model weights and context…

Optimization and Control · Mathematics 2026-05-14 Zhehang Du , Hangfeng He , Weijie Su

Representation learning is a fundamental task in machine learning, aiming at uncovering structures from data to facilitate subsequent tasks. However, what is a good representation for planning and reasoning in a stochastic world remains an…

Machine Learning · Computer Science 2024-03-19 Meng Song

Control applications often feature tasks with similar, but not identical, dynamics. We introduce the Hidden Parameter Markov Decision Process (HiP-MDP), a framework that parametrizes a family of related dynamical systems with a…

Machine Learning · Computer Science 2013-08-19 Finale Doshi-Velez , George Konidaris

In many interactive decision-making settings, there is latent and unobserved information that remains fixed. Consider, for example, a dialogue system, where complete information about a user, such as the user's preferences, is not given. In…

Machine Learning · Computer Science 2023-10-12 Jeongyeol Kwon , Yonathan Efroni , Shie Mannor , Constantine Caramanis

A key competence for open-ended learning is the formation of increasingly abstract representations useful for driving complex behavior. Abstract representations ignore specific details and facilitate generalization. Here we consider the…

Machine Learning · Computer Science 2021-09-06 Charles Wilmot , Gianluca Baldassarre , Jochen Triesch

Navigating in environments alongside humans requires agents to reason under uncertainty and account for the beliefs and intentions of those around them. Under a sequential decision-making framework, egocentric navigation can naturally be…

Artificial Intelligence · Computer Science 2025-09-03 Kevin Alcedo , Pedro U. Lima , Rachid Alami

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

The concept of abstraction has been independently developed both in the context of AI Planning and discounted Markov Decision Processes (MDPs). However, the way abstractions are built and used in the context of Planning and MDPs is…

Artificial Intelligence · Computer Science 2024-12-04 Giuseppe Canonaco , Alberto Pozanco , Daniel Borrajo

Pose Machines provide a sequential prediction framework for learning rich implicit spatial models. In this work we show a systematic design for how convolutional networks can be incorporated into the pose machine framework for learning…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Shih-En Wei , Varun Ramakrishna , Takeo Kanade , Yaser Sheikh

A common assumption in generative models is that the generator immerses the latent space into a Euclidean ambient space. Instead, we consider the ambient space to be a Riemannian manifold, which allows for encoding domain knowledge through…

Machine Learning · Statistics 2020-08-04 Georgios Arvanitidis , Søren Hauberg , Bernhard Schölkopf

Despite the significant recent progress in deep generative models, the underlying structure of their latent spaces is still poorly understood, thereby making the task of performing semantically meaningful latent traversals an open research…

Machine Learning · Computer Science 2023-07-04 Yue Song , T. Anderson Keller , Nicu Sebe , Max Welling

General-purpose, intelligent, learning agents cycle through sequences of observations, actions, and rewards that are complex, uncertain, unknown, and non-Markovian. On the other hand, reinforcement learning is well-developed for small…

Machine Learning · Computer Science 2009-12-30 Marcus Hutter

We consider problems in sequential decision making with natural multi-level structure, where sub-tasks are assembled together to accomplish complex goals. Systematically inferring and leveraging hierarchical structure has remained a…

Machine Learning · Computer Science 2026-03-11 Sichen Yang , Mauro Maggioni

In real-world reinforcement learning (RL) scenarios, agents often encounter partial observability, where incomplete or noisy information obscures the true state of the environment. Partially Observable Markov Decision Processes (POMDPs) are…

Machine Learning · Computer Science 2025-05-19 Ashok Arora , Neetesh Kumar

The key assumption underlying linear Markov Decision Processes (MDPs) is that the learner has access to a known feature map $\phi(x, a)$ that maps state-action pairs to $d$-dimensional vectors, and that the rewards and transitions are…

Machine Learning · Computer Science 2023-09-20 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

We propose Lie group embedded dynamical neural networks (LieEDNN) and the corresponding learning algorithms based on gradient descent and metric projection on smooth manifold, where we treat Lie group as an intrinsic representation for…

Machine Learning · Computer Science 2026-05-27 Tianwei Wang , Bryan Chen , Qian Zuo , Qiyue Xia , Xin Li , Wei Pang
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