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The training of deep neural networks is inherently a nonconvex optimization problem, yet standard approaches such as stochastic gradient descent (SGD) require simultaneous updates to all parameters, often leading to unstable convergence and…

Machine Learning · Computer Science 2025-08-07 Chengcheng Yan , Jiawei Xu , Zheng Peng , Qingsong Wang

A core problem in statistics and probabilistic machine learning is to compute probability distributions and expectations. This is the fundamental problem of Bayesian statistics and machine learning, which frames all inference as…

Machine Learning · Statistics 2024-12-06 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Motivated by penalized likelihood maximization in complex models, we study optimization problems where neither the function to optimize nor its gradient have an explicit expression, but its gradient can be approximated by a Monte Carlo…

Computation · Statistics 2017-09-28 Gersende Fort , Edouard Ollier , Adeline Samson

We consider the problem of estimating expectations with respect to a target distribution with an unknown normalizing constant, and where even the unnormalized target needs to be approximated at finite resolution. This setting is ubiquitous…

Numerical Analysis · Mathematics 2023-03-23 Kody J. H. Law , Neil Walton , Shangda Yang , Ajay Jasra

Multivariate probit models (MPM) have the appealing feature of capturing some of the dependence structure between the components of multidimensional binary responses. The key for the dependence modelling is the covariance matrix of an…

Methodology · Statistics 2013-11-15 Giusi Moffa , Jack Kuipers

Stochastic nested optimization, including stochastic compositional, min-max and bilevel optimization, is gaining popularity in many machine learning applications. While the three problems share the nested structure, existing works often…

Machine Learning · Statistics 2021-06-28 Tianyi Chen , Yuejiao Sun , Wotao Yin

Estimating the predictive uncertainty of a Bayesian learning model is critical in various decision-making problems, e.g., reinforcement learning, detecting adversarial attack, self-driving car. As the model posterior is almost always…

Machine Learning · Computer Science 2021-02-16 Yufei Cui , Wuguannan Yao , Qiao Li , Antoni B. Chan , Chun Jason Xue

The Markov Chain Monte Carlo (MCMC) methods are popular when considering sampling from a high-dimensional random variable $\mathbf{x}$ with possibly unnormalised probability density $p$ and observed data $\mathbf{d}$. However, MCMC requires…

Computation · Statistics 2020-03-11 Haoyun Ying , Keheng Mao , Klaus Mosegaard

This paper proposes a synergy of amortised and particle-based methods for sampling from distributions defined by unnormalised density functions. We state a connection between sequential Monte Carlo (SMC) and neural sequential samplers…

Machine Learning · Computer Science 2025-10-14 Sanghyeok Choi , Sarthak Mittal , Víctor Elvira , Jinkyoo Park , Nikolay Malkin

Pre-trained Vision-Language Models (VLMs) have recently shown promise in detecting anomalies. However, previous approaches are fundamentally limited by their reliance on human-designed prompts and the lack of accessible anomaly samples,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Pi-Wei Chen , Jerry Chun-Wei Lin , Wei-Han Chen , Jia Ji , Zih-Ching Chen , Feng-Hao Yeh , Chao-Chun Chen

Embedding tables are usually huge in click-through rate (CTR) prediction models. To train and deploy the CTR models efficiently and economically, it is necessary to compress their embedding tables at the training stage. To this end, we…

Machine Learning · Computer Science 2024-08-07 Shiwei Li , Huifeng Guo , Lu Hou , Wei Zhang , Xing Tang , Ruiming Tang , Rui Zhang , Ruixuan Li

Reconstructing the structure of thin films and multilayers from measurements of scattered X-rays or neutrons is key to progress in physics, chemistry, and biology. However, finding all structures compatible with reflectometry data is…

Scalable algorithms of posterior approximation allow Bayesian nonparametrics such as Dirichlet process mixture to scale up to larger dataset at fractional cost. Recent algorithms, notably the stochastic variational inference performs local…

Machine Learning · Computer Science 2025-02-25 Kart-Leong Lim , Xudong Jiang

This article considers the sequential Monte Carlo (SMC) approximation of ratios of normalizing constants associated to posterior distributions which in principle rely on continuum models. Therefore, the Monte Carlo estimation error and the…

Computation · Statistics 2016-03-04 Pierre Del Moral , Ajay Jasra , Kody Law , Yan Zhou

Accurate null depth retrieval is critical in nulling interferometry. However, achieving accurate null depth calibration is challenging due to various noise sources, instrumental imperfections, and the complexity of real observational…

Instrumentation and Methods for Astrophysics · Physics 2025-11-14 Baoyi Zeng , Marc-Antoine Martinod , Denis Defrère

We address the problem of approximating the posterior probability distribution of the fixed parameters of a state-space dynamical system using a sequential Monte Carlo method. The proposed approach relies on a nested structure that employs…

Computation · Statistics 2017-05-12 Dan Crisan , Joaquin Miguez

Neural processes (NPs) learn stochastic processes and predict the distribution of target output adaptively conditioned on a context set of observed input-output pairs. Furthermore, Attentive Neural Process (ANP) improved the prediction…

Machine Learning · Computer Science 2019-10-22 Shenghao Qin , Jiacheng Zhu , Jimmy Qin , Wenshuo Wang , Ding Zhao

In this paper, we introduce Attention Prompt Tuning (APT) - a computationally efficient variant of prompt tuning for video-based applications such as action recognition. Prompt tuning approaches involve injecting a set of learnable prompts…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Wele Gedara Chaminda Bandara , Vishal M. Patel

Computer simulations have proven a valuable tool for understanding complex phenomena across the sciences. However, the utility of simulators for modelling and forecasting purposes is often restricted by low data quality, as well as…

Machine Learning · Statistics 2022-10-14 Daniel Ward , Patrick Cannon , Mark Beaumont , Matteo Fasiolo , Sebastian M Schmon

Nested Monte Carlo is widely used for risk estimation, but its efficiency is limited by the discontinuity of the indicator function and high computational cost. This paper proposes a nested Multilevel Monte Carlo (MLMC) method combined with…

Numerical Analysis · Mathematics 2026-04-06 Yu Xu , Xiaoqun Wang