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We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

Machine Learning · Statistics 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

Prompt learning has achieved great success in efficiently exploiting large-scale pre-trained models in natural language processing (NLP). It reformulates the downstream tasks as the generative pre-training ones to achieve consistency, thus…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Ning Liao , Bowen Shi , Xiaopeng Zhang , Min Cao , Junchi Yan , Qi Tian

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

We introduce the Abductive Rule Learner with Context-awareness (ARLC), a model that solves abstract reasoning tasks based on Learn-VRF. ARLC features a novel and more broadly applicable training objective for abductive reasoning, resulting…

Machine Learning · Computer Science 2024-09-02 Giacomo Camposampiero , Michael Hersche , Aleksandar Terzić , Roger Wattenhofer , Abu Sebastian , Abbas Rahimi

In nonlinear latent variable models or dynamic models, if we consider the latent variables as confounders (common causes), the noise dependencies imply further relations between the observed variables. Such models are then closely related…

Machine Learning · Computer Science 2012-03-19 Kun Zhang , Bernhard Schoelkopf , Dominik Janzing

We propose a new approach to inverse reinforcement learning (IRL) based on the deep Gaussian process (deep GP) model, which is capable of learning complicated reward structures with few demonstrations. Our model stacks multiple latent GP…

Machine Learning · Computer Science 2017-05-08 Ming Jin , Andreas Damianou , Pieter Abbeel , Costas Spanos

Despite recent advancements in Multi-modal Large Language Models (MLLMs) on diverse understanding tasks, these models struggle to solve problems which require extensive multi-step reasoning. This is primarily due to the progressive dilution…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Byungwoo Jeon , Yoonwoo Jeong , Hyunseok Lee , Minsu Cho , Jinwoo Shin

Implicit processes (IPs) are a generalization of Gaussian processes (GPs). IPs may lack a closed-form expression but are easy to sample from. Examples include, among others, Bayesian neural networks or neural samplers. IPs can be used as…

Machine Learning · Statistics 2023-02-17 Luis A. Ortega , Simón Rodríguez Santana , Daniel Hernández-Lobato

This work presents a first evaluation of two state-of-the-art Large Reasoning Models (LRMs), OpenAI's o3-mini and DeepSeek R1, on analogical reasoning, focusing on well-established nonverbal human IQ tests based on Raven's progressive…

Artificial Intelligence · Computer Science 2025-06-05 Giacomo Camposampiero , Michael Hersche , Roger Wattenhofer , Abu Sebastian , Abbas Rahimi

In this contribution we deal with the problem of learning an undirected graph which encodes the conditional dependence relationship between variables of a complex system, given a set of observations of this system. This is a very central…

Methodology · Statistics 2019-07-26 Daniela De Canditiis , Armando Guardasole

Long-horizon applications increasingly require large language models (LLMs) to answer queries when relevant evidence is sparse and dispersed across very long contexts. Existing memory systems largely follow two paradigms: explicit…

Computation and Language · Computer Science 2026-01-08 Xin Zhang , Kailai Yang , Hao Li , Chenyue Li , Qiyu Wei , Sophia Ananiadou

Vision-Language Models (VLMs) often struggle with robust 3D spatial reasoning. Prevailing methods that rely on fine-tuning with 3D visual question-answering (VQA) datasets may overfit dataset-specific biases, while integrating specialized…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Chun-Hsiao Yeh , Shengyi Qian , Manchen Wang , Yi Ma , Joseph Tighe , Fanyi Xiao

Modeling latent variables with priors and hyperpriors is an essential problem in variational image compression. Formally, trade-off between rate and distortion is handled well if priors and hyperpriors precisely describe latent variables.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Xiaosu Zhu , Jingkuan Song , Lianli Gao , Feng Zheng , Heng Tao Shen

Solving Bayesian inverse problems typically involves deriving a posterior distribution using Bayes' rule, followed by sampling from this posterior for analysis. Sampling methods, such as general-purpose Markov chain Monte Carlo (MCMC), are…

Mathematical Software · Computer Science 2025-09-16 Jasper M. Everink , Chao Zhang , Amal M. A. Alghamdi , Rémi Laumont , Nicolai A. B. Riis , Jakob S. Jørgensen

A disentangled representation encodes information about the salient factors of variation in the data independently. Although it is often argued that this representational format is useful in learning to solve many real-world down-stream…

Machine Learning · Computer Science 2020-01-08 Sjoerd van Steenkiste , Francesco Locatello , Jürgen Schmidhuber , Olivier Bachem

Interpretability of learning-to-rank models is a crucial yet relatively under-examined research area. Recent progress on interpretable ranking models largely focuses on generating post-hoc explanations for existing black-box ranking models,…

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

We propose practical deep Gaussian process models on Riemannian manifolds, similar in spirit to residual neural networks. With manifold-to-manifold hidden layers and an arbitrary last layer, they can model manifold- and scalar-valued…

Machine Learning · Statistics 2025-03-03 Kacper Wyrwal , Andreas Krause , Viacheslav Borovitskiy

Probabilistic graphical models (PGMs) provide a compact representation of knowledge that can be queried in a flexible way: after learning the parameters of a graphical model once, new probabilistic queries can be answered at test time…

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao
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