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Optimal reconstruction of a source sequence from multiple noisy traces corrupted by random insertions, deletions, and substitutions typically requires joint processing of all traces, leading to computational complexity that grows…

Information Theory · Computer Science 2026-01-28 Aria Nouri

We present a highly scalable, MPI-parallelized framework for reconstructing the initial cosmic density field, designed to meet the computational demands of next-generation cosmological simulations, particularly the upcoming ELUCID-DESI…

This paper concerns with iterative schemes for the perfect reconstruction of functions belonging to multiresolution spaces on bounded manifolds from nonuniform sampling. The schemes have optimal complexity in the sense that the…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier , Laura Gori

Multiplication is a core operation in modern neural network (NN) computations, contributing significantly to energy consumption. The linear-complexity multiplication (L-Mul) algorithm is specifically proposed as an approximate…

Hardware Architecture · Computer Science 2024-12-30 Ruiqi Chen , Yangxintong Lyu , Han Bao , Bruno da Silva

Signal extraction from a single-channel mixture with additional undesired signals is most commonly performed using time-frequency (TF) masks. Typically, the mask is estimated with a deep neural network (DNN), and element-wise applied to the…

Sound · Computer Science 2019-12-10 Wolfgang Mack , Emanuël A. P. Habets

Sequencing a DNA strand, as part of the read process in DNA storage, produces multiple noisy copies which can be combined to produce better estimates of the original strand; this is called trace reconstruction. One can reduce the error rate…

Information Theory · Computer Science 2024-08-22 Sundara Rajan Srinivasavaradhan , Sivakanth Gopi , Henry D. Pfister , Sergey Yekhanin

Imaging 3D nano-structures at very high resolution is crucial in a variety of scientific fields. However, due to fundamental limitations of light propagation we can only measure the object indirectly via 2D intensity measurements of the 3D…

Image and Video Processing · Electrical Eng. & Systems 2020-02-28 Zalan Fabian , Justin Haldar , Richard Leahy , Mahdi Soltanolkotabi

We present a pipelined multiplier with reduced activities and minimized interconnect based on online digit-serial arithmetic. The working precision has been truncated such that $p<n$ bits are used to compute $n$ bits product, resulting in…

Hardware Architecture · Computer Science 2022-04-21 Muhammad Usman , Jeong-A Lee , Milos D. Ercegovac

We show that the recently introduced iterative backflow renormalization can be interpreted as a general neural network in continuum space with non-linear functions in the hidden units. We use this wave function within Variational Monte…

Other Condensed Matter · Physics 2018-05-23 Michele Ruggeri , Saverio Moroni , Markus Holzmann

This paper studies the problem of encoding messages into sequences which can be uniquely recovered from some noisy observations about their substrings. The observed reads comprise consecutive substrings with some given minimum overlap. This…

Information Theory · Computer Science 2023-12-11 Hengjia Wei , Moshe Schwartz , Gennian Ge

Does a lexical retriever suffice as large language models (LLMs) become more capable in an agentic loop? This question naturally arises when building deep research systems. We revisit it by pairing BM25 with frontier LLMs that have better…

Information Retrieval · Computer Science 2026-05-12 Tz-Huan Hsu , Jheng-Hong Yang , Jimmy Lin

We have integrated a system of 16 RISC CPUs to help reconstruct and analyze a 1.3 Terabyte data set of 400 million high energy physics interactions. These new CPUs provided an affordable means of processing a very large data set. The data…

High Energy Physics - Experiment · Physics 2009-10-31 C. Stoughton , D. J. Summers

The first contribution of the paper is to put forward an abstract definition of the Grain family of stream ciphers which formalises the different components that are required to specify a particular member of the family. Our second…

Cryptography and Security · Computer Science 2025-11-18 Palash Sarkar

We give the first optimal bounds for returning the $\ell_1$-heavy hitters in a data stream of insertions, together with their approximate frequencies, closing a long line of work on this problem. For a stream of $m$ items in $\{1, 2, \dots,…

Data Structures and Algorithms · Computer Science 2016-03-02 Arnab Bhattacharyya , Palash Dey , David P. Woodruff

With recent advances in reverse engineering, attackers can reconstruct a netlist to counterfeit chips by opening the die and scanning all layers of authentic chips. This relatively easy counterfeiting is made possible by the use of the…

Cryptography and Security · Computer Science 2020-03-03 Grace Li Zhang , Bing Li , Meng Li , Bei Yu , David Z. Pan , Michaela Brunner , Georg Sigl , Ulf Schlichtmann

We consider the problem of reconstructing a signal from noisy measurements in linear mixing systems. The reconstruction performance is usually quantified by standard error metrics such as squared error, whereas we consider any additive…

Information Theory · Computer Science 2013-02-05 Jin Tan , Dror Baron

Linear-optical circuits are elementary building blocks for classical and quantum information processing with light. In particular, due to its monolithic structure, integrated photonics offers great phase-stability and can rely on the large…

We present Lean Refactor, a plug-and-play retrieval-augmented agentic framework for multi-objective, controllable, and version-robust refactoring of Lean proofs. LLM-generated proofs are notoriously correct-but-verbose and brittle across…

Logic in Computer Science · Computer Science 2026-05-21 Jialin Lu , Soonho Kong , Rodrigo Stehling , Kaiyu Yang , Zhangyang Wang , Weiran Sun , Wuyang Chen

In this paper we consider the following problem of phase retrieval: Given a collection of real-valued band-limited functions $\{\psi_{\lambda}\}_{\lambda\in \Lambda}\subset L^2(\mathbb{R}^d)$ that constitutes a semi-discrete frame, we ask…

Functional Analysis · Mathematics 2016-09-07 Rima Alaifari , Ingrid Daubechies , Philipp Grohs , Gaurav Thakur

Transformer-based large language models are a memory-bound model whose operation is based on a large amount of data that are marginally reused. Thus, the data movement between a host and accelerator likely dictates the total wall-clock…

Machine Learning · Computer Science 2025-01-20 ChangMin Ye , Yonguk Sim , Youngchae Kim , SeongMin Jin , Doo Seok Jeong