Survey of Novel Deep Learning Architectures for Denoising Gravitational-wave Signals
研究通过比较五种深度学习架构解决引力波信号去噪问题,提出多尺度频率感知架构,在全参数空间实现高效去噪。
研究通过比较五种深度学习架构解决引力波信号去噪问题,提出多尺度频率感知架构,在全参数空间实现高效去噪。
本文研究了在具有因果对手的任意变化信道上进行身份验证的问题,通过构建正速率码和使用martingale集中论点来解决该问题。
本文针对Robbins问题,通过建模为马尔可夫决策过程并提出有限状态抽象方法,以近似解决在已知全部信息下最小化选择候选人期望排名的问题。
This work addresses a critical limitation of existing online conformal prediction methods, which under distribution shift only control signed coverage error and thus risk persistent one-sided miscoverage while lacking effective constraints on prediction set size. The paper proposes a unified online learning framework that simultaneously guarantees absolute coverage validity and prediction efficiency across three settings: adversarial, stochastic, and covariate-dependent shifts. Its core contributions include the first joint control of non-canceling coverage bias and efficiency; the design of a sliding-window quantile tracker combined with a partitioned ACI algorithm; and matching minimax lower bounds establishing rate optimality. The method provides distribution-free, convexity-free theoretical guarantees, achieves optimal convergence rates in the stochastic setting, and ensures simultaneous coverage and efficiency relative to dynamic oracle thresholds under covariate-dependent shifts.
This work addresses the problem of efficiently and deterministically enumerating all factors of bounded individual degree in sparse polynomials. For an $n$-variate, $s$-sparse polynomial with individual degrees at most $d$, the paper presents the first deterministic quasi-polynomial time algorithm that works over arbitrary fields and accommodates unbounded total degree. The approach combines interpolation, divisibility testing, and algebraic complexity techniques to construct constant-depth arithmetic circuits capturing all such factors, achieving a running time of $\mathrm{poly}(n, s^d)$. For general sparse polynomials, the algorithm runs in time $\mathrm{poly}(D^{d \log s}, s^{d^2 \log n})$, where $D$ bounds the total degree. These results generalize prior work and yield new upper bounds on the number of low individual-degree factors.
研究通过比较五种深度学习架构解决引力波信号去噪问题,提出多尺度频率感知架构,在全参数空间实现高效去噪。
本文研究了在具有因果对手的任意变化信道上进行身份验证的问题,通过构建正速率码和使用martingale集中论点来解决该问题。
本文针对Robbins问题,通过建模为马尔可夫决策过程并提出有限状态抽象方法,以近似解决在已知全部信息下最小化选择候选人期望排名的问题。
This work addresses a critical limitation of existing online conformal prediction methods, which under distribution shift only control signed coverage error and thus risk persistent one-sided miscoverage while lacking effective constraints on prediction set size. The paper proposes a unified online learning framework that simultaneously guarantees absolute coverage validity and prediction efficiency across three settings: adversarial, stochastic, and covariate-dependent shifts. Its core contributions include the first joint control of non-canceling coverage bias and efficiency; the design of a sliding-window quantile tracker combined with a partitioned ACI algorithm; and matching minimax lower bounds establishing rate optimality. The method provides distribution-free, convexity-free theoretical guarantees, achieves optimal convergence rates in the stochastic setting, and ensures simultaneous coverage and efficiency relative to dynamic oracle thresholds under covariate-dependent shifts.
This work addresses the problem of efficiently and deterministically enumerating all factors of bounded individual degree in sparse polynomials. For an $n$-variate, $s$-sparse polynomial with individual degrees at most $d$, the paper presents the first deterministic quasi-polynomial time algorithm that works over arbitrary fields and accommodates unbounded total degree. The approach combines interpolation, divisibility testing, and algebraic complexity techniques to construct constant-depth arithmetic circuits capturing all such factors, achieving a running time of $\mathrm{poly}(n, s^d)$. For general sparse polynomials, the algorithm runs in time $\mathrm{poly}(D^{d \log s}, s^{d^2 \log n})$, where $D$ bounds the total degree. These results generalize prior work and yield new upper bounds on the number of low individual-degree factors.