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The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e. numerical approximations whose energy decreases, just like in the original differential equation. With this aim, a discrete gradient method is…

Numerical Analysis · Mathematics 2022-04-26 Yadira Hernández-Solano , Miguel Atencia

Machine learning models, including state-of-the-art deep neural networks, are vulnerable to small perturbations that cause unexpected classification errors. This unexpected lack of robustness raises fundamental questions about their…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Andras Rozsa , Manuel Gunther , Terrance E. Boult

How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous latent variables with intractable posterior distributions, and large datasets? We introduce a stochastic variational…

Machine Learning · Statistics 2022-12-13 Diederik P Kingma , Max Welling

Adversarial reprogramming allows repurposing a machine-learning model to perform a different task. For example, a model trained to recognize animals can be reprogrammed to recognize digits by embedding an adversarial program in the digit…

Machine Learning · Computer Science 2023-03-14 Yang Zheng , Xiaoyi Feng , Zhaoqiang Xia , Xiaoyue Jiang , Ambra Demontis , Maura Pintor , Battista Biggio , Fabio Roli

Probabilistic programming is the idea of writing models from statistics and machine learning using program notations and reasoning about these models using generic inference engines. Recently its combination with deep learning has been…

Programming Languages · Computer Science 2019-11-19 Wonyeol Lee , Hangyeol Yu , Xavier Rival , Hongseok Yang

Large Language Models (LLMs) are now integral across various domains and have demonstrated impressive performance. Progress, however, rests on the premise that benchmark scores are both accurate and reproducible. We demonstrate that the…

Computation and Language · Computer Science 2025-10-28 Jiayi Yuan , Hao Li , Xinheng Ding , Wenya Xie , Yu-Jhe Li , Wentian Zhao , Kun Wan , Jing Shi , Xia Hu , Zirui Liu

We give the first efficient algorithm for learning the structure of an Ising model that tolerates independent failures; that is, each entry of the observed sample is missing with some unknown probability p. Our algorithm matches the…

Data Structures and Algorithms · Computer Science 2019-02-14 Surbhi Goel , Daniel M. Kane , Adam R. Klivans

We explore the Iterative Inference Hypothesis (IIH) within the context of transformer-based language models, aiming to understand how a model's latent representations are progressively refined and whether observable differences are present…

Computation and Language · Computer Science 2024-12-10 Greyson Brothers , Willa Mannering , Amber Tien , John Winder

In recent works, both sparsity-based methods as well as learning-based methods have proven to be successful in solving several challenging linear inverse problems. However, sparsity priors for natural signals and images suffer from poor…

Machine Learning · Statistics 2018-02-26 Viraj Shah , Chinmay Hegde

A core challenge in Machine Learning is to learn to disentangle natural factors of variation in data (e.g. object shape vs. pose). A popular approach to disentanglement consists in learning to map each of these factors to distinct subspaces…

Machine Learning · Computer Science 2021-02-11 Diane Bouchacourt , Mark Ibrahim , Stéphane Deny

As reinforcement learning (RL) achieves more success in solving complex tasks, more care is needed to ensure that RL research is reproducible and that algorithms herein can be compared easily and fairly with minimal bias. RL results are,…

Machine Learning · Computer Science 2019-09-12 Nicolai A. Lynnerup , Laura Nolling , Rasmus Hasle , John Hallam

The effectiveness of AI debugging follows a predictable exponential decay pattern; most models lose 60-80% of their debugging capability within just 2-3 attempts, despite iterative debugging being a critical capability for practical code…

Software Engineering · Computer Science 2025-12-23 Muntasir Adnan , Carlos C. N. Kuhn

We develop methods for parameter estimation in settings with large-scale data sets, where traditional methods are no longer tenable. Our methods rely on stochastic approximations, which are computationally efficient as they maintain one…

Computation · Statistics 2015-09-23 Dustin Tran , Panos Toulis , Edoardo M. Airoldi

Longitudinal data tracking under Local Differential Privacy (LDP) is a challenging task. Baseline solutions that repeatedly invoke a protocol designed for one-time computation lead to linear decay in the privacy or utility guarantee with…

Cryptography and Security · Computer Science 2022-04-12 Olga Ohrimenko , Anthony Wirth , Hao Wu

Doubly stochastic learning algorithms are scalable kernel methods that perform very well in practice. However, their generalization properties are not well understood and their analysis is challenging since the corresponding learning…

Machine Learning · Statistics 2018-03-12 Junhong Lin , Lorenzo Rosasco

The simplicity of gradient descent (GD) made it the default method for training ever-deeper and complex neural networks. Both loss functions and architectures are often explicitly tuned to be amenable to this basic local optimization. In…

Machine Learning · Computer Science 2019-04-30 Dmitrii Marin , Meng Tang , Ismail Ben Ayed , Yuri Boykov

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

Despite considerable advancements with deep neural language models, the enigma of neural text degeneration persists when these models are tested as text generators. The counter-intuitive empirical observation is that even though the use of…

Computation and Language · Computer Science 2020-02-18 Ari Holtzman , Jan Buys , Li Du , Maxwell Forbes , Yejin Choi

In this paper we shall review the common problems associated with Piecewise Linear Separation incremental algorithms. This kind of neural models yield poor performances when dealing with some classification problems, due to the evolving…

Neural and Evolutionary Computing · Computer Science 2007-12-24 Alejandro Chinea Manrique De Lara , Juan Manuel Moreno , Arostegui Jordi Madrenas , Joan Cabestany

Sparse tensors are prevalent in many data-intensive applications, yet existing differentiable programming frameworks are tailored towards dense tensors. This presents a significant challenge for efficiently computing gradients through…

Programming Languages · Computer Science 2023-03-14 Amir Shaikhha , Mathieu Huot , Shideh Hashemian
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