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Probabilistic Temporal Tensor Factorization (PTTF) is an effective algorithm to model the temporal tensor data. It leverages a time constraint to capture the evolving properties of tensor data. Nowadays the exploding dataset demands a large…

Machine Learning · Statistics 2016-11-14 Guangxi Li , Zenglin Xu , Linnan Wang , Jinmian Ye , Irwin King , Michael Lyu

Forecasting over graph-structured sensor networks demands models that capture both deterministic spatial trends and stochastic variability, while remaining efficient enough for repeated inference as new observations arrive. We propose…

Machine Learning · Computer Science 2026-04-02 Hanlin Dong , Arian Prabowo , Hao Xue , Ao Shuang , Tianyi Zhou , Flora D. Salim

Probabilistic Transformer (PT), a white-box probabilistic model for contextual word representation, has demonstrated substantial similarity to standard Transformers in both computational structure and downstream task performance on small…

Computation and Language · Computer Science 2026-04-29 Penghao Kuang , Haoyi Wu , Kewei Tu

Denoising diffusion models have become ubiquitous for generative modeling. The core idea is to transport the data distribution to a Gaussian by using a diffusion. Approximate samples from the data distribution are then obtained by…

Scalable machine learning over big data is an important problem that is receiving a lot of attention in recent years. On popular distributed environments such as Hadoop running on a cluster of commodity machines, communication costs are…

Machine Learning · Computer Science 2015-03-18 Dhruv Mahajan , Nikunj Agrawal , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

Differential privacy (DP) is the standard for privacy-preserving analysis, and introduces a fundamental trade-off between privacy guarantees and model performance. Selecting the optimal balance is a critical challenge that can be framed as…

Machine Learning · Computer Science 2025-09-05 Yaohong Yang , Aki Rehn , Sammie Katt , Antti Honkela , Samuel Kaski

Simulated tempering is popular method of allowing MCMC algorithms to move between modes of a multimodal target density {\pi}. One problem with simulated tempering for multimodal targets is that the weights of the various modes change for…

Computation · Statistics 2019-02-12 Nicholas G. Tawn , Gareth O. Roberts , Jeffrey S. Rosenthal

The numerical solution of large-scale PDEs, such as those occurring in data-driven applications, unavoidably require powerful parallel computers and tailored parallel algorithms to make the best possible use of them. In fact, considerations…

Numerical Analysis · Mathematics 2017-05-11 Francisco Bernal , Gonçalo dos Reis , Greig Smith

The method of tempered transitions was proposed by Neal (1996) for tackling the difficulties arising when using Markov chain Monte Carlo to sample from multimodal distributions. In common with methods such as simulated tempering and…

Computation · Statistics 2012-09-11 Gundula Behrens , Nial Friel , Merrilee Hurn

We study the posterior distribution of the Bayesian multiple change-point regression problem when the number and the locations of the change-points are unknown. While it is relatively easy to apply the general theory to obtain the…

Statistics Theory · Mathematics 2008-08-21 Heng Lian

This paper addresses distributed stochastic optimization problems under non-i.i.d. data, focusing on the inherent trade-offs between communication and computational efficiency. To this end, we propose FlexGT, a flexible snapshot gradient…

Optimization and Control · Mathematics 2026-02-17 Yan Huang , Jinming Xu , Li Chai , Jiming Chen , Karl H. Johansson

In this paper we present a continuation method which transforms spatially distributed ODE systems into continuous PDE. We show that this continuation can be performed both for linear and nonlinear systems, including multidimensional, space-…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Denis Nikitin , Carlos Canudas-de-Wit , Paolo Frasca

Synchronization overheads pose a major challenge as applications advance towards extreme scales. In current large-scale algorithms, synchronization as well as data communication delay the parallel computations at each time step in a…

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise is split. More specifically, we consider a Bayesian analysis for the…

Computation · Statistics 2021-07-27 L. Martino , F. Llorente , E. Curbelo , J. Lopez-Santiago , J. Miguez

Resetting, in which a system is regularly returned to a given state after a fixed or random duration, has become a useful strategy to optimize the search performance of a system. While earlier theoretical frameworks focused on instantaneous…

Statistical Mechanics · Physics 2024-10-14 Prashant Singh

Reversible architectures have been shown to be capable of performing on par with their non-reversible architectures, being applied in deep learning for memory savings and generative modeling. In this work, we show how reversible…

Machine Learning · Computer Science 2025-05-20 Stéphane Rivaud , Louis Fournier , Thomas Pumir , Eugene Belilovsky , Michael Eickenberg , Edouard Oyallon

We study a novel and important communication pattern in large-scale model-parallel deep learning (DL), which we call cross-mesh resharding. This pattern emerges when the two paradigms of model parallelism - intra-operator and inter-operator…

Machine Learning · Computer Science 2024-08-20 Yonghao Zhuang , Hexu Zhao , Lianmin Zheng , Zhuohan Li , Eric P. Xing , Qirong Ho , Joseph E. Gonzalez , Ion Stoica , Hao Zhang

We present a study of the parallel tempering (replica exchange) Monte Carlo method, with special focus on the feedback-optimized parallel tempering algorithm, used for generating an optimal set of simulation temperatures. This method is…

Statistical Mechanics · Physics 2014-10-15 Krzysztof Lewandowski , Piotr Knychala , Michal Banaszak

Nonparametric mixture models based on the Dirichlet process are an elegant alternative to finite models when the number of underlying components is unknown, but inference in such models can be slow. Existing attempts to parallelize…

Machine Learning · Statistics 2012-12-03 Sinead A. Williamson , Avinava Dubey , Eric P. Xing