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We introduce a "learning-based" algorithm for the low-rank decomposition problem: given an $n \times d$ matrix $A$, and a parameter $k$, compute a rank-$k$ matrix $A'$ that minimizes the approximation loss $\|A-A'\|_F$. The algorithm uses a…

机器学习 · 计算机科学 2019-10-31 Piotr Indyk , Ali Vakilian , Yang Yuan

We propose a new synthesis algorithm that can efficiently search programs with local variables (e.g., those introduced by lambdas). Prior bottom-up synthesis algorithms are not able to evaluate programs with free local variables, and…

编程语言 · 计算机科学 2023-11-08 Xiang Li , Xiangyu Zhou , Rui Dong , Yihong Zhang , Xinyu Wang

We investigate the problem of best-policy identification in discounted Markov Decision Processes (MDPs) when the learner has access to a generative model. The objective is to devise a learning algorithm returning the best policy as early as…

机器学习 · 统计学 2021-05-11 Aymen Al Marjani , Alexandre Proutiere

Understanding the internal representations of large language models (LLMs) remains a central challenge for interpretability research. Sparse autoencoders (SAEs) offer a promising solution by decomposing activations into interpretable…

机器学习 · 计算机科学 2025-10-10 Yifei Yao , Mengnan Du

We are interested in derivative-free optimization of high-dimensional functions. The sample complexity of existing methods is high and depends on problem dimensionality, unlike the dimensionality-independent rates of first-order methods.…

机器学习 · 计算机科学 2020-04-28 Ozan Sener , Vladlen Koltun

This paper develops algorithms for decentralized machine learning over a network, where data are distributed, computation is localized, and communication is restricted between neighbors. A line of recent research in this area focuses on…

最优化与控制 · 数学 2020-08-06 Yanli Liu , Yuejiao Sun , Wotao Yin

In this paper the author introduces a new domain decomposition method for the solution of discretised integral equation eigenvalue problems. The new domain decomposition method is motivated by the so-called automated multi-level…

数值分析 · 数学 2017-12-29 Peter Gerds

We study how to learn multiple dictionaries from a dataset, and approximate any data point by the sum of the codewords each chosen from the corresponding dictionary. Although theoretically low approximation errors can be achieved by the…

计算机视觉与模式识别 · 计算机科学 2015-01-06 Jianfeng Wang , Shuicheng Yan , Yi Yang , Mohan S Kankanhalli , Shipeng Li , Jingdong Wang

Learned representations in deep reinforcement learning (DRL) have to extract task-relevant information from complex observations, balancing between robustness to distraction and informativeness to the policy. Such stable and rich…

机器学习 · 计算机科学 2021-10-28 Mete Kemertas , Tristan Aumentado-Armstrong

Enabling low precision implementations of deep learning models, without considerable performance degradation, is necessary in resource and latency constrained settings. Moreover, exploiting the differences in sensitivity to quantization…

机器学习 · 计算机科学 2022-10-28 Ignacio Hounie , Juan Elenter , Alejandro Ribeiro

We propose a new algorithmic framework for constrained compressed sensing models that admit nonconvex sparsity-inducing regularizers including the log-penalty function as objectives, and nonconvex loss functions such as the Cauchy loss…

最优化与控制 · 数学 2022-06-17 Shuqin Sun , Ting Kei Pong

Dictionary Learning (DL) is one of the leading sparsity promoting techniques in the context of image classification, where the "dictionary" matrix D of images and the sparse matrix X are determined so as to represent a redundant image…

数值分析 · 数学 2022-03-10 Domitilla Brandoni , Margherita Porcelli , Valeria Simoncini

Bilevel optimization enjoys a wide range of applications in emerging machine learning and signal processing problems such as hyper-parameter optimization, image reconstruction, meta-learning, adversarial training, and reinforcement…

机器学习 · 计算机科学 2025-01-08 Han Shen , Quan Xiao , Tianyi Chen

Machine learning for differential equations paves the way for computationally efficient alternatives to numerical solvers, with potentially broad impacts in science and engineering. Though current algorithms typically require simulated…

机器学习 · 计算机科学 2024-02-15 Grégoire Mialon , Quentin Garrido , Hannah Lawrence , Danyal Rehman , Yann LeCun , Bobak T. Kiani

Dense retrieval models use bi-encoder network architectures for learning query and document representations. These representations are often in the form of a vector representation and their similarities are often computed using the dot…

信息检索 · 计算机科学 2023-05-01 Hamed Zamani , Michael Bendersky

Dictionary learning is the task of determining a data-dependent transform that yields a sparse representation of some observed data. The dictionary learning problem is non-convex, and usually solved via computationally complex iterative…

机器学习 · 计算机科学 2016-11-30 Cristian Rusu , Nuria Gonzalez-Prelcic , Robert Heath

Dictionary learning is a branch of signal processing and machine learning that aims at finding a frame (called dictionary) in which some training data admits a sparse representation. The sparser the representation, the better the…

机器学习 · 计算机科学 2015-02-27 Luc Le Magoarou , Rémi Gribonval

Few-shot multimodal dialogue intention recognition is a critical challenge in the e-commerce domainn. Previous methods have primarily enhanced model classification capabilities through post-training techniques. However, our analysis reveals…

计算与语言 · 计算机科学 2025-03-07 Bin Chen , Yu Zhang , Hongfei Ye , Ziyi Huang , Hongyang Chen

The paper introduces a very simple and fast computation method for high-dimensional integrals to solve high-dimensional Kolmogorov partial differential equations (PDEs). The new machine learning-based method is obtained by solving a…

数值分析 · 数学 2021-02-12 Riu Naito , Toshihiro Yamada

Convolutions encode equivariance symmetries into neural networks leading to better generalisation performance. However, symmetries provide fixed hard constraints on the functions a network can represent, need to be specified in advance, and…

机器学习 · 计算机科学 2023-10-11 Tycho F. A. van der Ouderaa , Alexander Immer , Mark van der Wilk
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