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We study the minimax settings of binary classification with F-score under the $\beta$-smoothness assumptions on the regression function $\eta(x) = \mathbb{P}(Y = 1|X = x)$ for $x \in \mathbb{R}^d$. We propose a classification procedure…

Statistics Theory · Mathematics 2019-05-13 Evgenii Chzhen

We study a minimax risk of estimating inverse functions on a plane, while keeping an estimator is also invertible. Learning invertibility from data and exploiting an invertible estimator are used in many domains, such as statistics,…

Statistics Theory · Mathematics 2023-12-27 Akifumi Okuno , Masaaki Imaizumi

We consider the problem of testing a particular type of composite null hypothesis under a nonparametric multivariate regression model. For a given quadratic functional $Q$, the null hypothesis states that the regression function $f$…

Statistics Theory · Mathematics 2013-01-09 Laëtitia Comminges , Arnak Dalalyan

We study the reward-free reinforcement learning framework, which is particularly suitable for batch reinforcement learning and scenarios where one needs policies for multiple reward functions. This framework has two phases. In the…

Machine Learning · Computer Science 2020-10-26 Zihan Zhang , Simon S. Du , Xiangyang Ji

Training deep neural networks (DNNs) is an important and challenging optimization problem in machine learning due to its non-convexity and non-separable structure. The alternating minimization (AM) approaches split the composition structure…

Machine Learning · Computer Science 2023-04-05 Jintao Xu , Chenglong Bao , Wenxun Xing

Attention mechanism in sequence-to-sequence models is designed to model the alignments between acoustic features and output tokens in speech recognition. However, attention weights produced by models trained end to end do not always…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-27 Gene-Ping Yang , Hao Tang

Attention-based architectures have become ubiquitous in machine learning, yet our understanding of the reasons for their effectiveness remains limited. This work proposes a new way to understand self-attention networks: we show that their…

Machine Learning · Computer Science 2023-08-02 Yihe Dong , Jean-Baptiste Cordonnier , Andreas Loukas

Attention models are typically learned by optimizing one of three standard loss functions that are variously called -- soft attention, hard attention, and latent variable marginal likelihood (LVML) attention. All three paradigms are…

Machine Learning · Computer Science 2023-10-16 Rahul Vashisht , Harish G. Ramaswamy

Local-global attention models have recently emerged as compelling alternatives to standard Transformers, promising improvements in both training and inference efficiency. However, the crucial choice of window size presents a Pareto…

Computation and Language · Computer Science 2025-11-18 Bailin Wang , Chang Lan , Chong Wang , Ruoming Pang

We introduce MiniMax-M1, the world's first open-weight, large-scale hybrid-attention reasoning model. MiniMax-M1 is powered by a hybrid Mixture-of-Experts (MoE) architecture combined with a lightning attention mechanism. The model is…

Computation and Language · Computer Science 2025-06-17 MiniMax , : , Aili Chen , Aonian Li , Bangwei Gong , Binyang Jiang , Bo Fei , Bo Yang , Boji Shan , Changqing Yu , Chao Wang , Cheng Zhu , Chengjun Xiao , Chengyu Du , Chi Zhang , Chu Qiao , Chunhao Zhang , Chunhui Du , Congchao Guo , Da Chen , Deming Ding , Dianjun Sun , Dong Li , Enwei Jiao , Haigang Zhou , Haimo Zhang , Han Ding , Haohai Sun , Haoyu Feng , Huaiguang Cai , Haichao Zhu , Jian Sun , Jiaqi Zhuang , Jiaren Cai , Jiayuan Song , Jin Zhu , Jingyang Li , Jinhao Tian , Jinli Liu , Junhao Xu , Junjie Yan , Junteng Liu , Junxian He , Kaiyi Feng , Ke Yang , Kecheng Xiao , Le Han , Leyang Wang , Lianfei Yu , Liheng Feng , Lin Li , Lin Zheng , Linge Du , Lingyu Yang , Lunbin Zeng , Minghui Yu , Mingliang Tao , Mingyuan Chi , Mozhi Zhang , Mujie Lin , Nan Hu , Nongyu Di , Peng Gao , Pengfei Li , Pengyu Zhao , Qibing Ren , Qidi Xu , Qile Li , Qin Wang , Rong Tian , Ruitao Leng , Shaoxiang Chen , Shaoyu Chen , Shengmin Shi , Shitong Weng , Shuchang Guan , Shuqi Yu , Sichen Li , Songquan Zhu , Tengfei Li , Tianchi Cai , Tianrun Liang , Weiyu Cheng , Weize Kong , Wenkai Li , Xiancai Chen , Xiangjun Song , Xiao Luo , Xiao Su , Xiaobo Li , Xiaodong Han , Xinzhu Hou , Xuan Lu , Xun Zou , Xuyang Shen , Yan Gong , Yan Ma , Yang Wang , Yiqi Shi , Yiran Zhong , Yonghong Duan , Yongxiang Fu , Yongyi Hu , Yu Gao , Yuanxiang Fan , Yufeng Yang , Yuhao Li , Yulin Hu , Yunan Huang , Yunji Li , Yunzhi Xu , Yuxin Mao , Yuxuan Shi , Yuze Wenren , Zehan Li , Zelin Li , Zhanxu Tian , Zhengmao Zhu , Zhenhua Fan , Zhenzhen Wu , Zhichao Xu , Zhihang Yu , Zhiheng Lyu , Zhuo Jiang , Zibo Gao , Zijia Wu , Zijian Song , Zijun Sun

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Gating mechanisms have been widely utilized, from early models like LSTMs and Highway Networks to recent state space models, linear attention, and also softmax attention. Yet, existing literature rarely examines the specific effects of…

Computation and Language · Computer Science 2025-05-13 Zihan Qiu , Zekun Wang , Bo Zheng , Zeyu Huang , Kaiyue Wen , Songlin Yang , Rui Men , Le Yu , Fei Huang , Suozhi Huang , Dayiheng Liu , Jingren Zhou , Junyang Lin

We consider a distributed resource allocation problem in networks where each transmitter-receiver pair aims at maximizing its local utility function by adjusting its action matrix, which belongs to a given feasible set. This problem has…

Information Theory · Computer Science 2019-05-22 Wenjie Li , Mohamad Assaad

We propose simple active sampling and reweighting strategies for optimizing min-max fairness that can be applied to any classification or regression model learned via loss minimization. The key intuition behind our approach is to use at…

The attention mechanism within the transformer architecture enables the model to weigh and combine tokens based on their relevance to the query. While self-attention has enjoyed major success, it notably treats all queries $q$ in the same…

Machine Learning · Computer Science 2024-11-21 Xuechen Zhang , Xiangyu Chang , Mingchen Li , Amit Roy-Chowdhury , Jiasi Chen , Samet Oymak

Linear attention has attracted interest as a computationally efficient approximation to softmax attention, especially for long sequences. Recent studies have explored distilling softmax attention in pre-trained Transformers into linear…

Machine Learning · Computer Science 2025-07-08 Naoki Nishikawa , Rei Higuchi , Taiji Suzuki

We study the computational limits of learning $k$-bit Boolean functions (specifically, $\mathrm{AND}$, $\mathrm{OR}$, and their noisy variants), using a minimalist single-head softmax-attention mechanism, where $k=\Theta(d)$ relevant bits…

Machine Learning · Computer Science 2025-05-27 Jerry Yao-Chieh Hu , Xiwen Zhang , Maojiang Su , Zhao Song , Han Liu

Transformer attention scales quadratically with sequence length O(n^2), limiting long-context use. We propose Adaptive Retention, a probabilistic, layer-wise token selection mechanism that learns which representations to keep under a strict…

Computation and Language · Computer Science 2025-10-13 S M Rafiuddin , Muntaha Nujat Khan

This paper studies transfer learning for estimating the mean of random functions based on discretely sampled data, where, in addition to observations from the target distribution, auxiliary samples from similar but distinct source…

Statistics Theory · Mathematics 2024-03-29 T. Tony Cai , Dongwoo Kim , Hongming Pu

This paper proposes joint attention estimation in a single image. Different from related work in which only the gaze-related attributes of people are independently employed, (I) their locations and actions are also employed as contextual…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Chihiro Nakatani , Hiroaki Kawashima , Norimichi Ukita