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In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements, and specifically analyze the interaction between FRI techniques and the underlying sampling methods. We first obtain a…

Information Theory · Computer Science 2016-11-18 Zvika Ben-Haim , Tomer Michaeli , Yonina C. Eldar

Fingerprinting arguments, first introduced by Bun, Ullman, and Vadhan (STOC 2014), are the most widely used method for establishing lower bounds on the sample complexity or error of approximately differentially private (DP) algorithms.…

Cryptography and Security · Computer Science 2024-07-08 Naty Peter , Eliad Tsfadia , Jonathan Ullman

The subspace identification method (SIM) has become a widely adopted approach for the identification of discrete-time linear time-invariant (LTI) systems. In this paper, we derive finite sample high-probability error bounds for the system…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Shuai Sun , Weikang Hu , Xu Wang

Although deep learning has demonstrated astonishing performance in many applications, there are still concerns about its dependability. One desirable property of deep learning applications with societal impact is fairness (i.e.,…

Machine Learning · Computer Science 2021-07-30 Peixin Zhang , Jingyi Wang , Jun Sun , Xinyu Wang , Guoliang Dong , Xingen Wang , Ting Dai , Jin Song Dong

We develop a general framework for construction and analysis of discrete extension operators with application to unfitted finite element approximation of partial differential equations. In unfitted methods so called cut elements intersected…

Numerical Analysis · Mathematics 2021-01-26 Erik Burman , Peter Hansbo , Mats G. Larson

The problem of low complexity, close to optimal, channel decoding of linear codes with short to moderate block length is considered. It is shown that deep learning methods can be used to improve a standard belief propagation decoder,…

Information Theory · Computer Science 2018-03-14 Eliya Nachmani , Elad Marciano , Loren Lugosch , Warren J. Gross , David Burshtein , Yair Beery

Let $\Phi$ be a random $k$-CNF formula on $n$ variables and $m$ clauses, where each clause is a disjunction of $k$ literals chosen independently and uniformly. Our goal is to sample an approximately uniform solution of $\Phi$ (or…

Data Structures and Algorithms · Computer Science 2023-06-12 Kun He , Kewen Wu , Kuan Yang

Phase-only compressed sensing (PO-CS) concerns the recovery of sparse signals from the phases of complex measurements. Recent results show that sparse signals in the standard sphere $\mathbb{S}^{n-1}$ can be exactly recovered from complex…

Information Theory · Computer Science 2026-04-07 Junren Chen , Michael K. Ng , Jonathan Scarlett

Prompt tuning (PT) offers a cost-effective alternative to fine-tuning large-scale pre-trained language models (PLMs), requiring only a few parameters in soft prompt tokens added before the input text. However, existing PT approaches face…

Computation and Language · Computer Science 2025-02-19 Pengxiang Lan , Haoyu Xu , Enneng Yang , Yuliang Liang , Guibing Guo , Jianzhe Zhao , Xingwei Wang

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

We investigate the decoding region for Algebraic Soft-Decision Decoding (ASD) of Reed-Solomon codes in a discrete, memoryless, additive-noise channel. An expression is derived for the error correction radius within which the soft-decision…

Information Theory · Computer Science 2007-07-13 Andrew Duggan , Alexander Barg

We develop a framework for efficiently transforming certain approximation algorithms into differentially-private variants, in a black-box manner. Specifically, our results focus on algorithms A that output an approximation to a function f…

Data Structures and Algorithms · Computer Science 2023-09-12 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee , Samson Zhou

This paper introduces the Procedural (audio) Variational autoEncoder (ProVE) framework as a general approach to learning Procedural Audio PA models of environmental sounds with an improvement to the realism of the synthesis while…

Sound · Computer Science 2023-03-07 Danzel Serrano , Mark Cartwright

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

In the last years, Regev's reduction has been used as a quantum algorithmic tool for providing a quantum advantage for variants of the decoding problem. Following this line of work, the authors of [JSW+24] have recently come up with a…

Quantum Physics · Physics 2026-03-10 André Chailloux , Jean-Pierre Tillich

In real-world applications, it is important for machine learning algorithms to be robust against data outliers or corruptions. In this paper, we focus on improving the robustness of a large class of learning algorithms that are formulated…

Machine Learning · Computer Science 2021-06-04 Quanming Yao , Hangsi Yang , En-Liang Hu , James Kwok

Distant supervision has become the standard method for relation extraction. However, even though it is an efficient method, it does not come at no cost---The resulted distantly-supervised training samples are often very noisy. To combat the…

Computation and Language · Computer Science 2018-05-28 Pengda Qin , Weiran Xu , William Yang Wang

Noisy labels are commonly found in real-world data, which cause performance degradation of deep neural networks. Cleaning data manually is labour-intensive and time-consuming. Previous research mostly focuses on enhancing classification…

Machine Learning · Computer Science 2021-12-20 Chang Liu , Han Yu , Boyang Li , Zhiqi Shen , Zhanning Gao , Peiran Ren , Xuansong Xie , Lizhen Cui , Chunyan Miao

Deployed machine learning systems must continuously evolve as data, architectures, and regulations change, often without access to original training data or model internals. In such settings, black-box copying provides a practical…

Machine Learning · Computer Science 2026-01-29 Rubén Jiménez , Oriol Pujol

In recent years, solving optimization problems involving black-box simulators has become a point of focus for the machine learning community due to their ubiquity in science and engineering. The simulators describe a forward process…

Machine Learning · Computer Science 2024-06-07 Fabio Valerio Massoli , Tim Bakker , Thomas Hehn , Tribhuvanesh Orekondy , Arash Behboodi