no code implementations • 19 Nov 2023 • Lianke Qin, Saayan Mitra, Zhao Song, Yuanyuan Yang, Tianyi Zhou
In this paper, we consider a heavy inner product identification problem, which generalizes the Light Bulb problem~(\cite{prr89}): Given two sets $A \subset \{-1,+1\}^d$ and $B \subset \{-1,+1\}^d$ with $|A|=|B| = n$, if there are exact $k$ pairs whose inner product passes a certain threshold, i. e., $\{(a_1, b_1), \cdots, (a_k, b_k)\} \subset A \times B$ such that $\forall i \in [k], \langle a_i, b_i \rangle \geq \rho \cdot d$, for a threshold $\rho \in (0, 1)$, the goal is to identify those $k$ heavy inner products.
no code implementations • 2 Nov 2023 • Xinlu Zhang, Yujie Lu, Weizhi Wang, An Yan, Jun Yan, Lianke Qin, Heng Wang, Xifeng Yan, William Yang Wang, Linda Ruth Petzold
Automatically evaluating vision-language tasks is challenging, especially when it comes to reflecting human judgments due to limitations in accounting for fine-grained details.
no code implementations • 14 Sep 2023 • Lianke Qin, Zhao Song, Baocheng Sun
A rising trend in theoretical deep learning is to understand why deep learning works through Neural Tangent Kernel (NTK) [jgh18], a kernel method that is equivalent to using gradient descent to train a multi-layer infinitely-wide neural network.
no code implementations • 2 Sep 2023 • Lianke Qin, Aravind Reddy, Zhao Song
Mahalanobis metrics are widely used in machine learning in conjunction with methods like $k$-nearest neighbors, $k$-means clustering, and $k$-medians clustering.
no code implementations • 13 Jul 2023 • Lianke Qin, Zhao Song, Yuanyuan Yang
Deep learning has been widely used in many fields, but the model training process usually consumes massive computational resources and time.
no code implementations • 15 May 2023 • Lianke Qin, Zhao Song, Yitan Wang
We consider both the online and offline versions of the problem: in each iteration, the data set changes incrementally or is not changed, and a user can issue a query to maximize the function on a given subset of the data.
no code implementations • 22 Mar 2023 • Lianke Qin, Zhao Song, Ruizhe Zhang
In this paper, we relax that rank-$k$ assumption and solve a much more general matrix sensing problem.
no code implementations • 21 Dec 2022 • Lianke Qin, Aravind Reddy, Zhao Song, Zhaozhuo Xu, Danyang Zhuo
In this paper, we propose Adam-Hash: an adaptive and dynamic multi-resolution hashing data-structure for fast pairwise summation estimation.
no code implementations • 10 Aug 2022 • Yeqi Gao, Lianke Qin, Zhao Song, Yitan Wang
For a neural network of width $m$, $n$ input training data in $d$ dimension, it takes $\Omega(mnd)$ time cost per training iteration for the forward and backward computation.