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Existing large language model-based code generation pipelines typically use beam search or sampling algorithms during the decoding process. Although the programs they generate achieve high token-matching-based scores, they often fail to…

机器学习 · 计算机科学 2023-03-10 Shun Zhang , Zhenfang Chen , Yikang Shen , Mingyu Ding , Joshua B. Tenenbaum , Chuang Gan

We show that a constant number of self-attention layers can efficiently simulate, and be simulated by, a constant number of communication rounds of Massively Parallel Computation. As a consequence, we show that logarithmic depth is…

机器学习 · 计算机科学 2024-02-15 Clayton Sanford , Daniel Hsu , Matus Telgarsky

From extracting features to generating text, the outputs of large language models (LLMs) typically rely on the final layers, following the conventional wisdom that earlier layers capture only low-level cues. However, our analysis shows that…

机器学习 · 计算机科学 2025-06-17 Oscar Skean , Md Rifat Arefin , Dan Zhao , Niket Patel , Jalal Naghiyev , Yann LeCun , Ravid Shwartz-Ziv

A family of stabilizer-free $P_k$ virtual elements are constructed on triangular meshes. When choosing an accurate and proper interpolation, the stabilizer of the virtual elements can be dropped while the quasi-optimality is kept. The…

数值分析 · 数学 2023-11-14 Xuejun Xu , Shangyou Zhang

The explicit construction of direct and inverse Fourier's vector transform with discontinuous coefficients is presented. The technique of applying Fourier's vector transform with discontinuous coefficients for solving problems of…

经典分析与常微分方程 · 数学 2013-09-26 O. Yaremko , E. Zhuravleva

Hybrid beamforming has evolved as a promising technology that offers the balance between system performance and design complexity in mmWave MIMO systems. Existing hybrid beamforming methods either impose unit-modulus constraints or a…

信号处理 · 电气工程与系统科学 2022-12-01 Mohamed Salah Ibrahim , Akshay Malhotra , Mihaela Beluri , Arnab Roy , Shahab Hamidi-Rad

Batched network coding (BNC) is a low-complexity solution to network transmission in multi-hop packet networks with packet loss. BNC encodes the source data into batches of packets. As a network coding scheme, the intermediate nodes perform…

信息论 · 计算机科学 2021-09-16 Hoover H. F. Yin , Ka Hei Ng , Allen Z. Zhong , Raymond W. Yeung , Shenghao Yang , Ian Y. Y. Chan

Concatenation is a method of building long codes out of shorter ones, it attempts to meet the problem of decoding complexity by breaking the required computation into manageable segments. Concatenated Continuous Phase Frequency Shift Keying…

信息论 · 计算机科学 2011-05-24 Labib Francis Gergis

Transformers suffer from the computational overhead of their quadratic dependence on the length of sequences processed. We present three methods, all adding an intermediate step between training and inference/generation, which extend the…

机器学习 · 计算机科学 2024-08-21 R. I. Cukier

Passage retrieval is a fundamental task in many information systems, such as web search and question answering, where both efficiency and effectiveness are critical concerns. In recent years, neural retrievers based on pre-trained language…

信息检索 · 计算机科学 2024-03-21 Qian Dong , Yiding Liu , Qingyao Ai , Haitao Li , Shuaiqiang Wang , Yiqun Liu , Dawei Yin , Shaoping Ma

Transformers achieve unrivalled performance in modelling language, but remain inefficient in terms of memory and time complexity. A possible remedy is to reduce the sequence length in the intermediate layers by pooling fixed-length segments…

计算与语言 · 计算机科学 2023-10-25 Piotr Nawrot , Jan Chorowski , Adrian Łańcucki , Edoardo M. Ponti

This paper investigates low-latency streaming codes for a three-node relay network. The source transmits a sequence of messages (streaming messages) to the destination through the relay between them, where the first-hop channel from the…

信息论 · 计算机科学 2022-03-14 Silas L. Fong , Ashish Khisti , Baochun Li , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

Communication in the presence of bounded timing asynchronism which is known to the receiver but cannot be easily compensated is studied. Examples of such situations include point-to-point communication over inter-symbol interference (ISI)…

信息论 · 计算机科学 2014-11-18 Ping-Chung Wang , Yu-Chih Huang , Krishna R. Narayanan

This paper is concerned with list decoding of $2$-interleaved binary alternant codes. The principle of the proposed algorithm is based on a combination of a list decoding algorithm for (interleaved) Reed-Solomon codes and an algorithm for…

信息论 · 计算机科学 2022-02-14 Chih-Chiang Huang , Hedongliang Liu , Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh

Considerable interest has been paid in recent literature to codes combining local and global properties for erasure correction. Applications are in cloud type of implementations, in which fast recovery of a failed storage device is…

信息论 · 计算机科学 2016-02-09 Mario Blaum , Steven R. Hetzler

Concurrent coding is an unconventional encoding technique that simultaneously provides protection against noise, burst errors and interference. This simple-to-understand concept is investigated by distinguishing 2 types of code, open and…

信息论 · 计算机科学 2019-01-29 David M Benton

We derive a single-letter upper bound to the mismatched-decoding capacity for discrete memoryless channels. The bound is expressed as the mutual information of a transformation of the channel, such that a maximum-likelihood decoding error…

信息论 · 计算机科学 2021-02-16 Ehsan Asadi Kangarshahi , Albert Guillén i Fàbregas

Arithmetic codes are usually deemed as the most important means to implement lossless source coding, whose principle is mapping every source symbol to a sub-interval in [0, 1). For every source symbol, the length of its mapping sub-interval…

信息论 · 计算机科学 2025-03-03 Yong Fang

We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) performance of such a combination for a fixed number of…

信息论 · 计算机科学 2008-02-12 Satish Babu Korada , Ruediger Urbanke

We derive upper and lower bounds for the error exponents of lossless streaming compression of two correlated sources under the blockwise and symbolwise settings. We consider the linear scaling regime in which the delay is a scalar multiple…

信息论 · 计算机科学 2016-02-24 Lin Zhou , Vincent Yan Fu Tan , Mehul Motani