Zobrazeno 1 - 10
of 1 002
pro vyhledávání: '"Bhangale As"'
We prove local and global inverse theorems for general $3$-wise correlations over pairwise-connected distributions. Let $\mu$ be a distribution over $\Sigma \times \Gamma \times \Phi$ such that the supports of $\mu_{xy}$, $\mu_{xz}$, and $\mu_{yz}$ a
Externí odkaz:
http://arxiv.org/abs/2411.15133
We prove that any subset $A \subseteq [3]^n$ with $3^{-n}|A| \ge (\log\log\log\log n)^{-c}$ contains a combinatorial line of length $3$, i.e., $x, y, z \in A$, not all equal, with $x_i=y_i=z_i$ or $(x_i,y_i,z_i)=(0,1,2)$ for all $i = 1, 2, \dots, n$.
Externí odkaz:
http://arxiv.org/abs/2411.15137
Autor:
Sekhar, Ardhendu, Bhattacharya, Aditya, Goyal, Vinayak, Goel, Vrinda, Bhangale, Aditya, Gupta, Ravi Kant, Sethi, Amit
In this study, we investigate the performance of few-shot classification models across different domains, specifically natural images and histopathological images. We first train several few-shot classification models on natural images and evaluate t
Externí odkaz:
http://arxiv.org/abs/2410.09176
We propose a framework of algorithm vs. hardness for all Max-CSPs and demonstrate it for a large class of predicates. This framework extends the work of Raghavendra [STOC, 2008], who showed a similar result for almost satisfiable Max-CSPs. Our framew
Externí odkaz:
http://arxiv.org/abs/2408.15377
In a $3$-$\mathsf{XOR}$ game $\mathcal{G}$, the verifier samples a challenge $(x,y,z)\sim \mu$ where $\mu$ is a probability distribution over $\Sigma\times\Gamma\times\Phi$, and a map $t\colon \Sigma\times\Gamma\times\Phi\to\mathcal{A}$ for a finite
Externí odkaz:
http://arxiv.org/abs/2408.09352
Identifying Ordinary Differential Equations (ODEs) from measurement data requires both fitting the dynamics and assimilating, either implicitly or explicitly, the measurement data. The Sparse Identification of Nonlinear Dynamics (SINDy) method involv
Externí odkaz:
http://arxiv.org/abs/2405.03154
We study parallel repetition of k-player games where the constraints satisfy the projection property. We prove exponential decay in the value of a parallel repetition of projection games with value less than 1.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2312.04783
For a prime $p$, a restricted arithmetic progression in $\mathbb{F}_p^n$ is a triplet of vectors $x, x+a, x+2a$ in which the common difference $a$ is a non-zero element from $\{0,1,2\}^n$. What is the size of the largest $A\subseteq \mathbb{F}_p^n$ t
Externí odkaz:
http://arxiv.org/abs/2308.06600
We prove a stability result for general $3$-wise correlations over distributions satisfying mild connectivity properties. More concretely, we show that if $\Sigma,\Gamma$ and $\Phi$ are alphabets of constant size, and $\mu$ is a pairwise connected di
Externí odkaz:
http://arxiv.org/abs/2307.16248
Publikováno v:
MGM Journal of Medical Sciences, Vol 11, Iss 3, Pp 533-542 (2024)
Inborn errors of metabolism (IEM) are a rare and complex group of inherited disorders, typically observed in infants as autosomal recessive or, less commonly, as X-linked recessive conditions. Newborn screening (NBS) for IEMs can significantly improv
Externí odkaz:
https://doaj.org/article/7c9b25c1b9f04bdf84da3bbd6163b326
