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Many statistical problems include model parameters that are defined as the solutions to optimization sub-problems. These include classical approaches such as profile likelihood as well as modern applications involving flow networks or…

Methodology · Statistics 2025-03-17 Cheng Zeng , Yaozhi Yang , Jason Xu , Leo L Duan

Spatio-temporal graphs such as traffic networks or gene regulatory systems present challenges for the existing deep learning methods due to the complexity of structural changes over time. To address these issues, we introduce…

Machine Learning · Computer Science 2019-04-15 Felix L. Opolka , Aaron Solomon , Cătălina Cangea , Petar Veličković , Pietro Liò , R Devon Hjelm

Smooth dynamics interrupted by discontinuities are known as hybrid systems and arise commonly in nature. Latent ODEs allow for powerful representation of irregularly sampled time series but are not designed to capture trajectories arising…

Machine Learning · Computer Science 2021-06-11 Ruian Shi , Quaid Morris

In this work we introduce a new optimisation method called SAGA in the spirit of SAG, SDCA, MISO and SVRG, a set of recently proposed incremental gradient algorithms with fast linear convergence rates. SAGA improves on the theory behind SAG…

Machine Learning · Computer Science 2014-12-17 Aaron Defazio , Francis Bach , Simon Lacoste-Julien

Policy gradient (PG) estimators are ineffective in dealing with softmax policies that are sub-optimally saturated, which refers to the situation when the policy concentrates its probability mass on sub-optimal actions. Sub-optimal policy…

Machine Learning · Computer Science 2022-02-25 Shivam Garg , Samuele Tosatto , Yangchen Pan , Martha White , A. Rupam Mahmood

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

Optimization and Control · Mathematics 2021-09-06 Yipeng Pang , Guoqiang Hu

This paper presents a new class of gradient methods for distributed machine learning that adaptively skip the gradient calculations to learn with reduced communication and computation. Simple rules are designed to detect slowly-varying…

Machine Learning · Statistics 2018-05-31 Tianyi Chen , Georgios B. Giannakis , Tao Sun , Wotao Yin

This paper considers the decision-dependent optimization problem, where the data distributions react in response to decisions affecting both the objective function and linear constraints. We propose a new method termed repeated projected…

Optimization and Control · Mathematics 2025-08-13 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

This paper aims at achieving a "good" estimator for the gradient of a function on a high-dimensional space. Often such functions are not sensitive in all coordinates and the gradient of the function is almost sparse. We propose a method for…

Machine Learning · Statistics 2016-07-27 Vivek S. Borkar , Vikranth R. Dwaracherla , Neeraja Sahasrabudhe

Current methods for the interpretability of discriminative deep neural networks commonly rely on the model's input-gradients, i.e., the gradients of the output logits w.r.t. the inputs. The common assumption is that these input-gradients…

Machine Learning · Computer Science 2021-03-04 Suraj Srinivas , Francois Fleuret

A well-engineered prompt can increase the performance of large language models; automatic prompt optimization techniques aim to increase performance without requiring human effort to tune the prompts. One leading class of prompt…

Computation and Language · Computer Science 2025-12-16 Daniel Melcer , Qi Chen , Wen-Hao Chiang , Shweta Garg , Pranav Garg , Christian Bock

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

Machine Learning · Computer Science 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang

Computing the gradient of a function provides fundamental information about its behavior. This information is essential for several applications and algorithms across various fields. One common application that require gradients are…

Numerical Analysis · Mathematics 2022-06-09 Esmail Abdul Fattah , Janet Van Niekerk , Haavard Rue

This paper presents enhancement strategies for the Hermitian and skew-Hermitian splitting method based on gradient iterations. The spectral properties are exploited for the parameter estimation, often resulting in a better convergence. In…

Numerical Analysis · Mathematics 2020-07-08 Qinmeng Zou , Frederic Magoules

Offline optimization is an emerging problem in many experimental engineering domains including protein, drug or aircraft design, where online experimentation to collect evaluation data is too expensive or dangerous. To avoid that, one has…

Machine Learning · Computer Science 2024-05-10 Yassine Chemingui , Aryan Deshwal , Trong Nghia Hoang , Janardhan Rao Doppa

The Gumbel-Max trick is the basis of many relaxed gradient estimators. These estimators are easy to implement and low variance, but the goal of scaling them comprehensively to large combinatorial distributions is still outstanding. Working…

Machine Learning · Statistics 2021-03-02 Max B. Paulus , Dami Choi , Daniel Tarlow , Andreas Krause , Chris J. Maddison

A major obstacle to achieving global convergence in distributed and federated learning is the misalignment of gradients across clients, or mini-batches due to heterogeneity and stochasticity of the distributed data. In this work, we show…

Machine Learning · Computer Science 2021-12-14 Yatin Dandi , Luis Barba , Martin Jaggi

The spiking neural network (SNN), as a promising brain-inspired computational model with binary spike information transmission mechanism, rich spatially-temporal dynamics, and event-driven characteristics, has received extensive attention.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Yufei Guo , Xuhui Huang , Zhe Ma

To enable learning on edge devices with fast convergence and low memory, we present a novel backpropagation-free optimization algorithm dubbed Target Projection Stochastic Gradient Descent (tpSGD). tpSGD generalizes direct random target…

Machine Learning · Computer Science 2022-09-19 Michael Lomnitz , Zachary Daniels , David Zhang , Michael Piacentino

Latent variable models are powerful tools for modeling complex phenomena involving in particular partially observed data, unobserved variables or underlying complex unknown structures. Inference is often difficult due to the latent…

Statistics Theory · Mathematics 2023-06-23 Charlotte Baey , Maud Delattre , Estelle Kuhn , Jean-Benoist Leger , Sarah Lemler
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