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Video diffusion transformers (DiTs) suffer from prohibitive inference latency due to quadratic attention complexity. Existing sparse attention methods either overlook semantic similarity or fail to adapt to heterogeneous token distributions…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Haoyue Tan , Shengnan Wang , Yulin Qiao , Juncheng Zhang , Youhui Bai , Ping Gong , Zewen Jin , Cheng Li

This work introduces a new approximate proximal sampler that operates solely with zeroth-order information of the potential function. Prior theoretical analyses have revealed that proximal sampling corresponds to alternating forward and…

Machine Learning · Computer Science 2026-03-23 Hirohane Takagi , Atsushi Nitanda

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

Computation · Statistics 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Accurate short-range prediction of extreme air temperature events remains a fundamental challenge in operational climate-risk management. We present Multi-Modal Weather State Transition Model with Anomaly-Driven Recurrent Attention Network…

Machine Learning · Computer Science 2025-11-18 Shaheen Mohammed Saleh Ahmed , Hakan Hakan Guneyli

Recent work has framed decision-making as a sequence modeling problem using generative models such as diffusion models. Although promising, these approaches often overlook latent factors that exhibit evolving dynamics, elements that are…

Machine Learning · Computer Science 2026-05-18 Fan Feng , Selena Ge , Minghao Fu , Zijian Li , Yujia Zheng , Zeyu Tang , Yingyao Hu , Biwei Huang , Kun Zhang

Dynamic model averaging (DMA) combines the forecasts of a large number of dynamic linear models (DLMs) to predict the future value of a time series. The performance of DMA critically depends on the appropriate choice of two forgetting…

Econometrics · Economics 2019-12-11 Alisa Yusupova , Nicos G. Pavlidis , Efthymios G. Pavlidis

A Bayesian data assimilation scheme is formulated for advection-dominated or hyperbolic evolutionary problems, and observations. The method is referred to as the dynamic likelihood filter because it exploits the model physics to dynamically…

Dynamical Systems · Mathematics 2017-04-26 Juan M. Restrepo

We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our work is to approximating the partition function $Z$ of a…

Data Structures and Algorithms · Computer Science 2007-05-23 Daniel Stefankovic , Santosh Vempala , Eric Vigoda

The augmented, iterated Kalman smoother is applied to system identification for inverse problems in evolutionary differential equations. In the augmented smoother, the unknown, time-dependent coefficients are included in the state vector,…

Methodology · Statistics 2019-11-19 Kurt S. Riedel

The computational study of conformational transitions in RNA and proteins with atomistic molecular dynamics often requires suitable enhanced sampling techniques. We here introduce a novel method where concurrent metadynamics are integrated…

Computational Physics · Physics 2015-09-01 Alejandro Gil-Ley , Giovanni Bussi

Science and engineering problems subject to uncertainty are frequently both computationally expensive and feature nonsmooth parameter dependence, making standard Monte Carlo too slow, and excluding efficient use of accelerated uncertainty…

Numerical Analysis · Mathematics 2021-10-01 Per Pettersson , Sebastian Krumscheid

The Adaptive Multilevel Splitting algorithm is a very powerful and versatile method to estimate rare events probabilities. It is an iterative procedure on an interacting particle system, where at each step, the $k$ less well-adapted…

Probability · Mathematics 2014-05-07 Charles-Edouard Bréhier , Tony Lelievre , Mathias Rousset

This work proposes an adaptive sequential Monte Carlo sampling algorithm to solve Bayesian inverse problems in scenarios where likelihood evaluations are costly but can be approximated using a surrogate model built from previous evaluations…

Computation · Statistics 2025-08-26 Frederic Cerou , Patrick Heas , Mathias Rousset

We introduce a novel method for Additive Noise Analysis for Persistence Thresholding (ANAPT) which separates significant features in the sublevel set persistence diagram of a time series based on a statistics analysis of the persistence of…

Algebraic Topology · Mathematics 2022-09-23 Audun D. Myers , Firas A. Khasawneh , Brittany T. Fasy

The URANS equations provide a computationally efficient tool to simulate unsteady turbulent flows for a wide range of applications. To account for the errors introduced by the turbulence closure model, recent works have adopted data…

Fluid Dynamics · Physics 2025-01-22 Justin Plogmann , Oliver Brenner , Patrick Jenny

This work considers the trade-off between accuracy and test-time computational cost of deep neural networks (DNNs) via \emph{anytime} predictions from auxiliary predictions. Specifically, we optimize auxiliary losses jointly in an…

Machine Learning · Computer Science 2018-05-28 Hanzhang Hu , Debadeepta Dey , Martial Hebert , J. Andrew Bagnell

Stochastic gradient decent~(SGD) and its variants, including some accelerated variants, have become popular for training in machine learning. However, in all existing SGD and its variants, the sample size in each iteration~(epoch) of…

Machine Learning · Statistics 2019-09-18 Shen-Yi Zhao , Hao Gao , Wu-Jun Li

Continuous data assimilation addresses time-dependent problems with unknown initial conditions by incorporating observations of the solution into a nudging term. For the prototypical heat equation with variable conductivity and the Neumann…

Numerical Analysis · Mathematics 2025-04-01 Vladimir Yushutin

This note introduces a method for sampling Ising models with mixed boundary conditions. As an application of annealed importance sampling and the Swendsen-Wang algorithm, the method adopts a sequence of intermediate distributions that keeps…

Numerical Analysis · Mathematics 2022-05-19 Lexing Ying

Conformal prediction provides a model-agnostic framework for uncertainty quantification with finite-sample validity guarantees, making it an attractive tool for constructing reliable prediction sets. However, existing approaches commonly…

Machine Learning · Statistics 2025-05-30 Eshant English , Christoph Lippert