no code implementations • 11 Mar 2025 • Andrzej Cichocki, Toshihisa Tanaka, Sergio Cruces
In this paper we propose and investigate a wide class of Mirror Descent updates (MD) and associated novel Generalized Exponentiated Gradient (GEG) algorithms by exploiting various trace-form entropies and associated deformed logarithms and their inverses - deformed (generalized) exponential functions.
no code implementations • 21 Feb 2025 • Andrzej Cichocki
In order to derive novel GEG/MD updates, we estimate generalized exponential function, which closely approximates the inverse of the Euler two-parameter logarithm.
1 code implementation • 2 Sep 2024 • Yixuan Zhou, Xing Xu, Zhe Sun, Jingkuan Song, Andrzej Cichocki, Heng Tao Shen
Through the integration of vector quantization (VQ), we empower the flow models to distinguish different concepts of multi-class normal data in an unsupervised manner, resulting in a novel flow-based unified method, named VQ-Flow.
no code implementations • 2 Jun 2024 • Andrzej Cichocki, Sergio Cruces, Auxiliadora Sarmiento, Toshihisa Tanaka
This paper introduces a novel family of generalized exponentiated gradient (EG) updates derived from an Alpha-Beta divergence regularization function.
no code implementations • 8 Aug 2023 • Daria Cherniuk, Stanislav Abukhovich, Anh-Huy Phan, Ivan Oseledets, Andrzej Cichocki, Julia Gusak
Tensor decomposition of convolutional and fully-connected layers is an effective way to reduce parameters and FLOP in neural networks.
no code implementations • 19 Jun 2023 • Farnaz Sedighin, Andrzej Cichocki, Hossein Rabbani
The low resolution image was first patch Hankelized and then its Tensor Ring decomposition with rank incremental has been computed.
no code implementations • 16 Jun 2023 • Ashish Jha, Dimitrii Ermilov, Konstantin Sobolev, Anh Huy Phan, Salman Ahmadi-Asl, Naveed Ahmed, Imran Junejo, Zaher Al Aghbari, Thar Baker, Ahmed Mohamed Khedr, Andrzej Cichocki
Pedestrian Attribute Recognition (PAR) deals with the problem of identifying features in a pedestrian image.
1 code implementation • 30 May 2023 • Yixuan Zhou, Peiyu Yang, Yi Qu, Xing Xu, Zhe Sun, Andrzej Cichocki
Unlike existing SSAD methods that resort to strict loss supervision, AnoOnly suspends it and introduces a form of weak supervision for normal data.
Semi-supervised Anomaly Detection
Supervised Anomaly Detection
+1
no code implementations • 16 May 2023 • Maame G. Asante-Mensah, Anh Huy Phan, Salman Ahmadi-Asl, Zaher Al Aghbari, Andrzej Cichocki
This paper presents a pixel selection method for compact image representation based on superpixel segmentation and tensor completion.
1 code implementation • 22 Jan 2023 • Maolin Wang, Yu Pan, Zenglin Xu, Xiangli Yang, Guangxi Li, Andrzej Cichocki
Interestingly, although these two types of networks originate from different observations, they are inherently linked through the common multilinearity structure underlying both TNs and NNs, thereby motivating a significant number of intellectual developments regarding combinations of TNs and NNs.
1 code implementation • 30 Apr 2022 • Konstantin Sozykin, Andrei Chertkov, Roman Schutski, Anh-Huy Phan, Andrzej Cichocki, Ivan Oseledets
We present a novel procedure for optimization based on the combination of efficient quantized tensor train representation and a generalized maximum matrix volume principle.
no code implementations • 5 Mar 2022 • Anh-Huy Phan, Konstantin Sobolev, Dmitry Ermilov, Igor Vorona, Nikolay Kozyrskiy, Petr Tichavsky, Andrzej Cichocki
This motivates using a hybrid model of CPD and TKD, a decomposition with multiple Tucker models with small core tensor, known as block term decomposition (BTD).
no code implementations • 21 Aug 2021 • Zihao Huang, Zhe Sun, Feng Duan, Andrzej Cichocki, Peiying Ruan, Chao Li
To tackle this, we propose L3C-Stereo, a multi-scale lossless compression model consisting of two main modules: the warping module and the probability estimation module.
1 code implementation • ACL 2021 • Jiajia Tang, Kang Li, Xuanyu Jin, Andrzej Cichocki, Qibin Zhao, Wanzeng Kong
In this work, the coupled-translation fusion network (CTFN) is firstly proposed to model bi-direction interplay via couple learning, ensuring the robustness in respect to missing modalities.
1 code implementation • 15 Mar 2021 • Julia Gusak, Alexandr Katrutsa, Talgat Daulbaev, Andrzej Cichocki, Ivan Oseledets
Moreover, we show that the right choice of solver parameterization can significantly affect neural ODEs models in terms of robustness to adversarial attacks.
no code implementations • 12 Dec 2020 • Yu Zhang, Tao Zhou, Wei Wu, Hua Xie, Hongru Zhu, Guoxu Zhou, Andrzej Cichocki
With the encoded label matrix, we devise a novel multi-task learning algorithm by exploiting the subclass relationship to jointly optimize the EEG pattern features from the uncovered subclasses.
no code implementations • 22 Nov 2020 • Shu Gong, Kaibo Xing, Andrzej Cichocki, Junhua Li
Deep learning has achieved excellent performance in a wide range of domains, especially in speech recognition and computer vision.
no code implementations • ECCV 2020 • Anh-Huy Phan, Konstantin Sobolev, Konstantin Sozykin, Dmitry Ermilov, Julia Gusak, Petr Tichavsky, Valeriy Glukhov, Ivan Oseledets, Andrzej Cichocki
Most state of the art deep neural networks are overparameterized and exhibit a high computational cost.
no code implementations • 7 Aug 2020 • Andrzej Cichocki, Alexander P. Kuleshov
We describe various aspects of multiple human intelligences and learning styles, which may impact on a variety of AI problem domains.
1 code implementation • ICLR Workshop DeepDiffEq 2019 • Julia Gusak, Larisa Markeeva, Talgat Daulbaev, Alexandr Katrutsa, Andrzej Cichocki, Ivan Oseledets
Normalization is an important and vastly investigated technique in deep learning.
1 code implementation • NeurIPS 2020 • Talgat Daulbaev, Alexandr Katrutsa, Larisa Markeeva, Julia Gusak, Andrzej Cichocki, Ivan Oseledets
We propose a simple interpolation-based method for the efficient approximation of gradients in neural ODE models.
1 code implementation • 26 Feb 2020 • Evgeny Ponomarev, Ivan Oseledets, Andrzej Cichocki
A system for trading the fixed volume of a financial instrument is proposed and experimentally tested; this is based on the asynchronous advantage actor-critic method with the use of several neural network architectures.
1 code implementation • 25 Feb 2020 • Qiquan Shi, Jiaming Yin, Jiajun Cai, Andrzej Cichocki, Tatsuya Yokota, Lei Chen, Mingxuan Yuan, Jia Zeng
This work proposes a novel approach for multiple time series forecasting.
no code implementations • 15 Oct 2019 • Julia Gusak, Talgat Daulbaev, Evgeny Ponomarev, Andrzej Cichocki, Ivan Oseledets
We introduce a new method for speeding up the inference of deep neural networks.
no code implementations • 25 Sep 2019 • Tatsuya Yokota, Hidekata Hontani, Qibin Zhao, Andrzej Cichocki
The proposed approach is dividing the convolution into ``delay-embedding'' and ``transformation (\ie encoder-decoder)'', and proposing a simple, but essential, image/tensor modeling method which is closely related to dynamical systems and self-similarity.
1 code implementation • 8 Aug 2019 • Tatsuya Yokota, Hidekata Hontani, Qibin Zhao, Andrzej Cichocki
The proposed approach is dividing the convolution into ``delay-embedding'' and ``transformation (\ie encoder-decoder)'', and proposing a simple, but essential, image/tensor modeling method which is closely related to dynamical systems and self-similarity.
no code implementations • 30 Jul 2019 • Tian Wang, Anastasios Bezerianos, Andrzej Cichocki, Junhua Li
Methods: To overcome the aforementioned drawbacks, we proposed a multi-kernel capsule network (MKCapsnet), which was developed by considering the brain anatomical structure.
3 code implementations • 24 Mar 2019 • Julia Gusak, Maksym Kholiavchenko, Evgeny Ponomarev, Larisa Markeeva, Ivan Oseledets, Andrzej Cichocki
The low-rank tensor approximation is very promising for the compression of deep neural networks.
no code implementations • 20 Mar 2018 • Jinshi Yu, Guoxu Zhou, Andrzej Cichocki, Shengli Xie
Nonsmooth Nonnegative Matrix Factorization (nsNMF) is capable of producing more localized, less overlapped feature representations than other variants of NMF while keeping satisfactory fit to data.
no code implementations • 13 Nov 2017 • Anh-Huy Phan, Masao Yamagishi, Danilo Mandic, Andrzej Cichocki
A novel algorithm to solve the quadratic programming problem over ellipsoids is proposed.
Optimization and Control
1 code implementation • 17 Jun 2016 • Qibin Zhao, Guoxu Zhou, Shengli Xie, Liqing Zhang, Andrzej Cichocki
In this paper, we introduce a fundamental tensor decomposition model to represent a large dimensional tensor by a circular multilinear products over a sequence of low dimensional cores, which can be graphically interpreted as a cyclic interconnection of 3rd-order tensors, and thus termed as tensor ring (TR) decomposition.
no code implementations • 29 Aug 2015 • Guoxu Zhou, Qibin Zhao, Yu Zhang, Tülay Adalı, Shengli Xie, Andrzej Cichocki
With the increasing availability of various sensor technologies, we now have access to large amounts of multi-block (also called multi-set, multi-relational, or multi-view) data that need to be jointly analyzed to explore their latent connections.
no code implementations • 25 May 2015 • Tatsuya Yokota, Qibin Zhao, Andrzej Cichocki
The proposed method admits significant advantages, owing to the integration of smooth PARAFAC decomposition for incomplete tensors and the efficient selection of models in order to minimize the tensor rank.
1 code implementation • 10 May 2015 • Qibin Zhao, Liqing Zhang, Andrzej Cichocki
Tucker decomposition is the cornerstone of modern machine learning on tensorial data analysis, which have attracted considerable attention for multiway feature extraction, compressive sensing, and tensor completion.
no code implementations • 6 Mar 2015 • Wenfei Cao, Yao Wang, Jian Sun, Deyu Meng, Can Yang, Andrzej Cichocki, Zongben Xu
In this paper, we propose a novel tensor-based robust PCA (TenRPCA) approach for BSCM by decomposing video frames into backgrounds with spatial-temporal correlations and foregrounds with spatio-temporal continuity in a tensor framework.
no code implementations • 23 Oct 2014 • Junhua Li, Chao Li, Andrzej Cichocki
Unlike vector-based methods that destroy data structure, Canonical Polyadic Decomposition (CPD) aims to process physiological signals in the form of multi-way array, which considers relationships between dimensions and preserves structure information contained by the physiological signal.
no code implementations • 9 Oct 2014 • Qibin Zhao, Guoxu Zhou, Liqing Zhang, Andrzej Cichocki, Shun-ichi Amari
We propose a generative model for robust tensor factorization in the presence of both missing data and outliers.
no code implementations • 3 Oct 2014 • Junhua Li, Zbigniew Struzik, Liqing Zhang, Andrzej Cichocki
An alternative pathway for the human brain to communicate with the outside world is by means of a brain computer interface (BCI).
no code implementations • 1 Sep 2014 • Chao Li, Lili Guo, Andrzej Cichocki
Thus one question raised whether such the relationship can improve the performance of data completion or not?
no code implementations • 17 Apr 2014 • Guoxu Zhou, Andrzej Cichocki, Qibin Zhao, Shengli Xie
Nonnegative Tucker decomposition (NTD) is a powerful tool for the extraction of nonnegative parts-based and physically meaningful latent components from high-dimensional tensor data while preserving the natural multilinear structure of data.
no code implementations • 9 Mar 2014 • Andrzej Cichocki
Such a new emerging technology for multidimensional big data is a multiway analysis via tensor networks (TNs) and tensor decompositions (TDs) which represent tensors by sets of factor (component) matrices and lower-order (core) tensors.
Emerging Technologies
1 code implementation • 25 Jan 2014 • Qibin Zhao, Liqing Zhang, Andrzej Cichocki
CANDECOMP/PARAFAC (CP) tensor factorization of incomplete data is a powerful technique for tensor completion through explicitly capturing the multilinear latent factors.
no code implementations • 26 Aug 2013 • Yu Zhang, Guoxu Zhou, Jing Jin, Xingyu Wang, Andrzej Cichocki
Canonical correlation analysis (CCA) has been one of the most popular methods for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interfaces (BCIs).
no code implementations • 2 May 2013 • Andrzej Cichocki
Keywords: Multilinear BSS, linked multiway BSS/ICA, tensor factorizations and decompositions, constrained Tucker and CP models, Penalized Tensor Decompositions (PTD), feature extraction, classification, multiway PLS and CCA.
no code implementations • 17 Dec 2012 • Guoxu Zhou, Andrzej Cichocki, Yu Zhang, Danilo Mandic
Very often data we encounter in practice is a collection of matrices rather than a single matrix.
no code implementations • 15 Nov 2012 • Guoxu Zhou, Andrzej Cichocki, Shengli Xie
Canonical Polyadic (or CANDECOMP/PARAFAC, CP) decompositions (CPD) are widely applied to analyze high order tensors.
1 code implementation • 5 Jul 2012 • Qibin Zhao, Cesar F. Caiafa, Danilo P. Mandic, Zenas C. Chao, Yasuo Nagasaka, Naotaka Fujii, Liqing Zhang, Andrzej Cichocki
A new generalized multilinear regression model, termed the Higher-Order Partial Least Squares (HOPLS), is introduced with the aim to predict a tensor (multiway array) $\tensor{Y}$ from a tensor $\tensor{X}$ through projecting the data onto the latent space and performing regression on the corresponding latent variables.