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Sparse computation offers a compelling solution for the inference of Large Language Models (LLMs) in low-resource scenarios by dynamically skipping the computation of inactive neurons. While traditional approaches focus on ReLU-based LLMs,…

Machine Learning · Computer Science 2024-02-07 Zhengyan Zhang , Yixin Song , Guanghui Yu , Xu Han , Yankai Lin , Chaojun Xiao , Chenyang Song , Zhiyuan Liu , Zeyu Mi , Maosong Sun

The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

Machine Learning · Computer Science 2023-08-29 Jianyi Lin

Deploying large language models (LLMs) on edge devices presents significant challenges due to the substantial computational overhead and memory requirements. Activation sparsification can mitigate these resource challenges by reducing the…

Computation and Language · Computer Science 2024-12-30 Junhui He , Shangyu Wu , Weidong Wen , Chun Jason Xue , Qingan Li

The goal of this paper is to develop a novel numerical method for efficient multiplicative noise removal. The nonlocal self-similarity of natural images implies that the matrices formed by their nonlocal similar patches are low-rank. By…

Optimization and Control · Mathematics 2020-02-19 Xiaoxia Liu , Jian Lu , Lixin Shen , Chen Xu , Yuesheng Xu

Modeling non-empirical and highly flexible interatomic potential energy surfaces (PES) using machine learning (ML) approaches is becoming popular in molecular and materials research. Training an ML-PES is typically performed in two stages:…

Materials Science · Physics 2021-01-05 Suresh Kondati Natarajan , Miguel A. Caro

We introduce SPRING, a novel stochastic proximal alternating linearized minimization algorithm for solving a class of non-smooth and non-convex optimization problems. Large-scale imaging problems are becoming increasingly prevalent due to…

Optimization and Control · Mathematics 2021-01-20 Derek Driggs , Junqi Tang , Jingwei Liang , Mike Davies , Carola-Bibiane Schönlieb

This work proposes a general learned proximal alternating minimization algorithm, LPAM, for solving learnable two-block nonsmooth and nonconvex optimization problems. We tackle the nonsmoothness by an appropriate smoothing technique with…

Optimization and Control · Mathematics 2026-03-10 Yunmei Chen , Lezhi Liu , Lei Zhang

Implicit probabilistic models are models defined naturally in terms of a sampling procedure and often induces a likelihood function that cannot be expressed explicitly. We develop a simple method for estimating parameters in implicit models…

Machine Learning · Computer Science 2018-10-23 Ke Li , Jitendra Malik

Exploiting activation sparsity is a promising approach to significantly accelerating the inference process of large language models (LLMs) without compromising performance. However, activation sparsity is determined by activation functions,…

Machine Learning · Computer Science 2024-06-12 Yixin Song , Haotong Xie , Zhengyan Zhang , Bo Wen , Li Ma , Zeyu Mi , Haibo Chen

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

Numerical Analysis · Mathematics 2021-08-04 Fredy Vides

Many probabilistic inference tasks involve summations over exponentially large sets. Recently, it has been shown that these problems can be reduced to solving a polynomial number of MAP inference queries for a model augmented with randomly…

Artificial Intelligence · Computer Science 2013-09-27 Stefano Ermon , Carla P. Gomes , Ashish Sabharwal , Bart Selman

Graphical models are useful tools for describing structured high-dimensional probability distributions. Development of efficient algorithms for learning graphical models with least amount of data remains an active research topic.…

Machine Learning · Computer Science 2021-11-18 Marc Vuffray , Sidhant Misra , Andrey Y. Lokhov

Recent work has shown that probabilistic models based on pairwise interactions-in the simplest case, the Ising model-provide surprisingly accurate descriptions of experiments on real biological networks ranging from neurons to genes.…

Quantitative Methods · Quantitative Biology 2007-12-18 Tamara Broderick , Miroslav Dudik , Gasper Tkacik , Robert E. Schapire , William Bialek

We are motivated by problems that arise in a number of applications such as Online Marketing and explosives detection, where the observations are usually modeled using Poisson statistics. We model each observation as a Poisson random…

Statistics Theory · Mathematics 2016-11-17 D. Motamedvaziri , M. H. Rohban , V. Saligrama

The Active Subspace (AS) method is a widely used technique for identifying the most influential directions in high-dimensional input spaces that affect the output of a computational model. The standard AS algorithm requires a sufficient…

Numerical Analysis · Mathematics 2025-10-24 Fabio Nobile , Matteo Raviola , Raul Tempone

The methods of statistical physics are widely used for modelling complex networks. Building on the recently proposed Equilibrium Expectation approach, we derive a simple and efficient algorithm for maximum likelihood estimation (MLE) of…

Computation · Statistics 2020-02-12 Alexander Borisenko , Maksym Byshkin , Alessandro Lomi

In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

Information Theory · Computer Science 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei

Learning vector autoregressive models from multivariate time series is conventionally approached through least squares or maximum likelihood estimation. These methods typically assume a fully connected model which provides no direct insight…

Computation · Statistics 2021-09-24 Kimmo Suotsalo , Yingying Xu , Jukka Corander , Johan Pensar

This paper considers nonlinear dynamic models where the main parameter of interest is a nonnegative matrix characterizing the network (contagion) effects. This network matrix is usually constrained either by assuming a limited number of…

Econometrics · Economics 2022-11-23 Christian Gourieroux , Joann Jasiak

This work develops new algorithms with rigorous efficiency guarantees for infinite horizon imitation learning (IL) with linear function approximation without restrictive coherence assumptions. We begin with the minimax formulation of the…

Machine Learning · Computer Science 2023-05-31 Luca Viano , Angeliki Kamoutsi , Gergely Neu , Igor Krawczuk , Volkan Cevher
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