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Traditional quantum circuit optimization is performed directly at the circuit level. Alternatively, a quantum circuit can be translated to a ZX-diagram which can be simplified using the rules of the ZX-calculus, after which a simplified…

量子物理 · 物理学 2022-09-16 Ryan Krueger

While recent success of large reasoning models (LRMs) significantly advanced LLMs' reasoning capability by optimizing the final answer accuracy using reinforcement learning, they may also drastically increase the output length due to…

人工智能 · 计算机科学 2025-05-29 Sohyun An , Ruochen Wang , Tianyi Zhou , Cho-Jui Hsieh

Positive linear programs (LP), also known as packing and covering linear programs, are an important class of problems that bridges computer science, operations research, and optimization. Despite the consistent efforts on this problem, all…

数据结构与算法 · 计算机科学 2016-11-15 Zeyuan Allen-Zhu , Lorenzo Orecchia

Outcome probability estimation via classical methods is an important task for validating quantum computing devices. Outcome probabilities of any quantum circuit can be estimated using Monte Carlo sampling, where the amount of negativity…

量子物理 · 物理学 2022-10-14 Nikolaos Koukoulekidis , Hyukjoon Kwon , Hyejung H. Jee , David Jennings , M. S. Kim

We propose using mechanistic interpretability -- techniques for reverse engineering model weights into human-interpretable algorithms -- to derive and compactly prove formal guarantees on model performance. We prototype this approach by…

机器学习 · 计算机科学 2024-12-25 Jason Gross , Rajashree Agrawal , Thomas Kwa , Euan Ong , Chun Hei Yip , Alex Gibson , Soufiane Noubir , Lawrence Chan

Optimizing floating-point arithmetic is vital because it is ubiquitous, costly, and used in compute-heavy workloads. Implementing precise optimizations correctly, however, is difficult, since developers must account for all the esoteric…

编程语言 · 计算机科学 2016-03-31 Andres Nötzli , Fraser Brown

Compiler optimizations are designed to improve run-time performance while preserving input-output behavior. Correctness in this sense does not necessarily preserve security: it is known that standard optimizations may break or weaken…

形式语言与自动机理论 · 计算机科学 2019-11-15 Kedar S. Namjoshi , Lucas M. Tabajara

Despite the numerous uses of semidefinite programming (SDP) and its universal solvability via interior point methods (IPMs), it is rarely applied to practical large-scale problems. This mainly owes to the computational cost of IPMs that…

最优化与控制 · 数学 2024-03-19 Yifan Ran , Stefan Vlaski , Wei Dai

This paper introduces several techniques that improve the scalability of the deductive verification of data-level programs working on arrays and matrices. First of all, we introduce a technique to rewrite expressions with (nested)…

软件工程 · 计算机科学 2026-05-14 Lars B. van den Haak , Anton Wijs , Marieke Huisman

KV caches, typically used only to speed up autoregressive decoding, encode contextual information that can be reused for downstream tasks at no extra cost. We propose treating the KV cache as a lightweight representation, eliminating the…

计算与语言 · 计算机科学 2026-01-29 Zeyu Xing , Xing Li , Hui-Ling Zhen , Mingxuan Yuan , Sinno Jialin Pan

Tenfold improvements in computation speed can be brought to the alternating direction method of multipliers (ADMM) for Semidefinite Programming with virtually no decrease in robustness and provable convergence simply by projecting…

最优化与控制 · 数学 2021-12-28 Nikitas Rontsis , Paul J. Goulart , Yuji Nakatsukasa

Building on VeriX (Verified eXplainability, arXiv:2212.01051), a system for producing optimal verified explanations for machine learning models, we present VeriX+, which significantly improves both the size and the generation time of formal…

机器学习 · 计算机科学 2025-11-18 Min Wu , Xiaofu Li , Haoze Wu , Clark Barrett

Between NISQ (noisy intermediate scale quantum) approaches without any proof of robust quantum advantage and fully fault-tolerant quantum computation, we propose a scheme to achieve a provable superpolynomial quantum advantage (under some…

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

信息论 · 计算机科学 2017-01-31 Maxime Ferreira Da Costa , Wei Dai

Compared with digital methods, sparse recovery based on spiking neural networks has great advantages like high computational efficiency and low power-consumption. However, current spiking algorithms cannot guarantee more accurate estimates…

信号处理 · 电气工程与系统科学 2020-09-22 Xiang Zhang , Lei Yu , Gang Zheng

Efficient inference for on-device Large Language Models (LLMs) remains challenging due to limited hardware resources and the high cost of the prefill stage, which processes the full input context to construct Key-Value (KV) caches. We…

网络与互联网体系结构 · 计算机科学 2026-05-06 Hongyao Liu , Liuqun Zhai , Junyi Wang , Zhengru Fang

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information such as…

机器学习 · 计算机科学 2017-10-31 Jianqiao Wangni , Jialei Wang , Ji Liu , Tong Zhang

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

最优化与控制 · 数学 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

Quantum computers promise exponential speedups for problems in cryptography, chemistry, and optimization. Realizing this promise requires fault tolerance: physical qubits are noisy, so logical qubits must be encoded redundantly across many…

编程语言 · 计算机科学 2026-05-15 Aws Albarghouthi

Visual Autoregressive(VAR) models enhance generation quality but face a critical efficiency bottleneck in later stages. In this paper, we present a novel optimization framework for VAR models that fundamentally differs from prior approaches…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Jiayu Chen , Ruoyu Lin , Zihao Zheng , Jingxin Li , Maoliang Li , Guojie Luo , Xiang Chen