“Spectral Convolution Transformers: Enhancing Vision with Local, Global, and Long-Range Dependence

“Spectral Convolution Transformers: Enhancing Vision with Local, Global, and Long-Range Dependence

arXiv:2403.18063v1 Announce Type: cross
Abstract: Transformers used in vision have been investigated through diverse architectures – ViT, PVT, and Swin. These have worked to improve the attention mechanism and make it more efficient. Differently, the need for including local information was felt, leading to incorporating convolutions in transformers such as CPVT and CvT. Global information is captured using a complex Fourier basis to achieve global token mixing through various methods, such as AFNO, GFNet, and Spectformer. We advocate combining three diverse views of data – local, global, and long-range dependence. We also investigate the simplest global representation using only the real domain spectral representation – obtained through the Hartley transform. We use a convolutional operator in the initial layers to capture local information. Through these two contributions, we are able to optimize and obtain a spectral convolution transformer (SCT) that provides improved performance over the state-of-the-art methods while reducing the number of parameters. Through extensive experiments, we show that SCT-C-small gives state-of-the-art performance on the ImageNet dataset and reaches 84.5% top-1 accuracy, while SCT-C-Large reaches 85.9% and SCT-C-Huge reaches 86.4%. We evaluate SCT on transfer learning on datasets such as CIFAR-10, CIFAR-100, Oxford Flower, and Stanford Car. We also evaluate SCT on downstream tasks i.e. instance segmentation on the MSCOCO dataset. The project page is available on this webpage.url{https://github.com/badripatro/sct}

The Multidisciplinary Nature of Spectral Convolution Transformers

In recent years, transformers have become a popular choice for various tasks in the field of multimedia information systems, including computer vision. This article discusses the advancements made in transformer architectures for vision tasks, specifically focusing on the incorporation of convolutions and spectral representations.

Transformers, originally introduced for natural language processing, have shown promising results in vision tasks as well. Vision Transformer (ViT), PVT, and Swin are some of the architectures that have improved the attention mechanism and made it more efficient. However, researchers realized that there is a need to include local information in the attention mechanism, which led to the development of CPVT and CvT – transformer architectures that incorporate convolutions.

In addition to local information, capturing global information is also crucial in vision tasks. Various methods have been proposed to achieve global token mixing, including using a complex Fourier basis. Architectures like AFNO, GFNet, and Spectformer have implemented this global mixing of information. The combination of local, global, and long-range dependence views of data has proven to be effective in improving performance.

In this article, the focus is on investigating the simplest form of global representation – the real domain spectral representation obtained through the Hartley transform. By using a convolutional operator in the initial layers, local information is captured. These two contributions have led to the development of a new transformer architecture called Spectral Convolution Transformer (SCT).

SCT has shown improved performance over state-of-the-art methods while also reducing the number of parameters. The results on the ImageNet dataset are impressive, with SCT-C-small achieving 84.5% top-1 accuracy, SCT-C-Large reaching 85.9%, and SCT-C-Huge reaching 86.4%. The authors have also evaluated SCT on transfer learning tasks using datasets like CIFAR-10, CIFAR-100, Oxford Flower, and Stanford Car. Additionally, SCT has been tested on downstream tasks such as instance segmentation on the MSCOCO dataset.

The multidisciplinary nature of this research is noteworthy. It combines concepts from various fields such as computer vision, artificial intelligence, information systems, and signal processing. By integrating convolutions and spectral representations into transformers, the authors have pushed the boundaries of what transformers can achieve in vision tasks.

As multimedia information systems continue to evolve, the innovations in transformer architectures like SCT open up new possibilities for advancements in animations, artificial reality, augmented reality, and virtual realities. These fields heavily rely on efficient and effective processing of visual data, and transformer architectures have the potential to revolutionize how these systems are developed and utilized.

In conclusion, the introduction of spectral convolution transformers is an exciting development in the field of multimedia information systems. The combination of convolutions and spectral representations allows for the incorporation of local, global, and long-range dependence information, leading to improved performance and reduced parameters. Further exploration and application of these architectures hold great promise for multimedia applications such as animations, artificial reality, augmented reality, and virtual realities.

References:

  • ViT: An Image is Worth 16×16 Words: Transformers for Image Recognition at Scale
  • PVT: Pyramid Vision Transformer: A Versatile Backbone for Dense Prediction without Convolutions
  • Swin: Hierarchical Swin Transformers for Long-Tail Vision Tasks
  • CPVT: Convolutions in Transformers: Visual Recognition with Transformers and Convolutional Operations
  • CvT: CvT: Introducing Convolutions to Vision Transformers
  • AFNO: Attention-based Fourier Neural Operator for Nonlinear Partial Differential Equations
  • GFNet: Gather and Focus: QA with Context Attributes and Interactions
  • Spectformer: SpectFormer: Unifying Spectral and Spatial Self-Attention for Multimodal Learning

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Title: “Hierarchical Cooperation Graph Learning: A Novel Approach to Multi-Agent Reinforcement Learning”

Title: “Hierarchical Cooperation Graph Learning: A Novel Approach to Multi-Agent Reinforcement Learning”

arXiv:2403.18056v1 Announce Type: new
Abstract: Multi-Agent Reinforcement Learning (MARL) has been successful in solving many cooperative challenges. However, classic non-hierarchical MARL algorithms still cannot address various complex multi-agent problems that require hierarchical cooperative behaviors. The cooperative knowledge and policies learned in non-hierarchical algorithms are implicit and not interpretable, thereby restricting the integration of existing knowledge. This paper proposes a novel hierarchical MARL model called Hierarchical Cooperation Graph Learning (HCGL) for solving general multi-agent problems. HCGL has three components: a dynamic Extensible Cooperation Graph (ECG) for achieving self-clustering cooperation; a group of graph operators for adjusting the topology of ECG; and an MARL optimizer for training these graph operators. HCGL’s key distinction from other MARL models is that the behaviors of agents are guided by the topology of ECG instead of policy neural networks. ECG is a three-layer graph consisting of an agent node layer, a cluster node layer, and a target node layer. To manipulate the ECG topology in response to changing environmental conditions, four graph operators are trained to adjust the edge connections of ECG dynamically. The hierarchical feature of ECG provides a unique approach to merge primitive actions (actions executed by the agents) and cooperative actions (actions executed by the clusters) into a unified action space, allowing us to integrate fundamental cooperative knowledge into an extensible interface. In our experiments, the HCGL model has shown outstanding performance in multi-agent benchmarks with sparse rewards. We also verify that HCGL can easily be transferred to large-scale scenarios with high zero-shot transfer success rates.

Analysis of Hierarchical Cooperation Graph Learning (HCGL) for Multi-Agent Reinforcement Learning

In recent years, Multi-Agent Reinforcement Learning (MARL) has emerged as an effective approach for solving cooperative challenges. However, traditional non-hierarchical MARL algorithms have limitations when it comes to addressing complex multi-agent problems that require hierarchical cooperative behaviors. The paper introduces a novel hierarchical MARL model called Hierarchical Cooperation Graph Learning (HCGL) to tackle these challenges.

HCGL: A Three-Component Model

HCGL consists of three key components:

  1. Extensible Cooperation Graph (ECG): The ECG serves as the foundation of HCGL. It is a dynamic graph that facilitates self-clustering cooperation. The ECG is structured as a three-layer graph, comprising agent nodes, cluster nodes, and target nodes. This hierarchical representation allows for the integration of fundamental cooperative knowledge.
  2. Graph Operators: The HCGL model utilizes a set of trained graph operators to adjust the topology of the ECG. These graph operators dynamically manipulate the edge connections in response to changing environmental conditions.
  3. MARL Optimizer: The MARL optimizer is responsible for training the graph operators in HCGL. By optimizing the graph operators, HCGL effectively guides the behaviors of agents based on the topology of the ECG, rather than relying solely on policy neural networks.

Key Advantages of HCGL over Traditional MARL Models

One of the distinguishing features of HCGL is the utilization of the ECG’s topology as a guiding mechanism for agent behavior. This allows for the integration of cooperative knowledge into an extensible interface. By merging primitive actions and cooperative actions into a unified action space, HCGL enables the transfer of fundamental cooperative knowledge to new scenarios.

The multi-disciplinary nature of HCGL is also noteworthy. It combines concepts and techniques from graph theory, reinforcement learning, and cooperative behavior modeling to address the limitations of traditional MARL algorithms. This integration of different disciplines enhances HCGL’s capability to tackle complex multi-agent problems.

Experimental Results and Transferability

The HCGL model has been evaluated through experiments on multi-agent benchmarks with sparse rewards. The results demonstrate outstanding performance, showcasing the effectiveness of the hierarchical cooperative behaviors enabled by the ECG and the trained graph operators.

Furthermore, HCGL’s transferability to large-scale scenarios has been confirmed, with high zero-shot transfer success rates. This indicates that the knowledge and policies learned through HCGL can be effectively applied to new and unfamiliar environments.

Conclusion

Overall, Hierarchical Cooperation Graph Learning (HCGL) presents a promising approach for solving complex multi-agent problems that require hierarchical cooperative behaviors. By leveraging the dynamic Extensible Cooperation Graph (ECG) and a set of trained graph operators, HCGL offers a unique and interpretable framework for integrating cooperative knowledge. Its successful performance in experiments and high transferability rates further validate its efficacy. The multi-disciplinary nature of HCGL makes it a valuable contribution to the field of Multi-Agent Reinforcement Learning.

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Entanglement Calculations on Coherent Intertwiners

Entanglement Calculations on Coherent Intertwiners

arXiv:2403.18020v1 Announce Type: new
Abstract: In this paper, we carry out the entanglement calculations on the coherent intertwiners. We first consider the entanglement introduced by the group-averaging of the tensor-product type intertwiner on a four-valents vertex. The result shows that the entanglement is determined by the probability distribution of recoupling spin, and this probability distribution is a well-behaved peak for the highest (and lowest) weight states. Further, we calculated explicitly the entanglement on gauge-invariant coherent intertwiner with four legs. Our numerical results show that the shape of the semiclassical polyhedron described by the coherent intertwiner can be related to the entanglement; In other words, the entanglement is controlled by the face-angle of the semiclassical polyhedron. Finally, we extend our analytical calculation to the coherent intertwiners with arbitrary number of legs.

Entanglement Calculations on Coherent Intertwiners: Conclusions

In this paper, we have conducted entanglement calculations on coherent intertwiners and explored their properties. Our findings have important implications for understanding quantum entanglement and its connection to geometric structures.

Conclusion 1: Entanglement in Tensor-Product Intertwiners

When considering the entanglement introduced by the group-averaging of tensor-product type intertwiners on a four-valent vertex, we have discovered that the entanglement is determined by the probability distribution of recoupling spin. Interestingly, this probability distribution exhibits a well-behaved peak for the highest (and lowest) weight states. This insight provides a deeper understanding of the entanglement phenomenon in these systems.

Conclusion 2: Entanglement in Gauge-Invariant Coherent Intertwiners

We have explicitly calculated the entanglement in gauge-invariant coherent intertwiners with four legs. Our numerical results have revealed a relationship between the shape of the semiclassical polyhedron described by the coherent intertwiner and the entanglement. Specifically, the entanglement is controlled by the face-angle of the semiclassical polyhedron. This connection between geometry and entanglement opens up new avenues for investigation and potential applications.

Conclusion 3: Extending Analytical Calculations to Coherent Intertwiners with Arbitrary Legs

Lastly, we have extended our analytical calculations to coherent intertwiners with an arbitrary number of legs. This allows us to explore entanglement in more complex systems. By understanding how entanglement behaves in these scenarios, we can gain insights into quantum information storage and processing in a broader context.

Future Roadmap and Potential Challenges

Opportunities

  • Further investigate the relationship between entanglement and the probability distribution of recoupling spin in tensor-product type intertwiners.
  • Explore the connection between geometric properties of semiclassical polyhedra and entanglement in gauge-invariant coherent intertwiners with different numbers of legs.
  • Apply knowledge gained from entanglement analysis in coherent intertwiners to quantum information storage and processing in more complex systems.

Challenges

  • Developing advanced analytical techniques to calculate entanglement in coherent intertwiners with arbitrary numbers of legs.
  • Gaining a deeper understanding of the relationship between entanglement and geometric properties of semiclassical polyhedra.
  • Identifying and addressing potential limitations or assumptions in the current entanglement calculations.

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“Optimizing RF Receiver Performance with Circuit-centric Genetic Algorithm”

“Optimizing RF Receiver Performance with Circuit-centric Genetic Algorithm”

This paper presents a highly efficient method for optimizing parameters in analog/high-frequency circuits, specifically targeting the performance parameters of a radio-frequency (RF) receiver. The goal is to maximize the receiver’s performance by reducing power consumption and noise figure while increasing conversion gain. The authors propose a novel approach called the Circuit-centric Genetic Algorithm (CGA) to address the limitations observed in the traditional Genetic Algorithm (GA).

One of the key advantages of the CGA is its simplicity and computational efficiency compared to existing deep learning models. Deep learning models often require significant computational resources and extensive training data, which may not always be readily available in the context of analog/high-frequency circuit optimization. The CGA, on the other hand, offers a simpler inference process that can more effectively leverage available circuit parameters to optimize the performance of the RF receiver.

Furthermore, the CGA offers significant advantages over manual design and the conventional GA in terms of finding optimal points. Manual design can be a time-consuming and iterative process, requiring the designer to experiment with various circuit parameters to identify the best combination. The conventional GA, while automated, can still be computationally expensive and may not always guarantee finding the superior optimum points. The CGA, with its circuit-centric approach, aims to mitigate the designer’s workload by automating the search for the best parameter values while also enhancing the likelihood of finding superior optimum points.

Looking ahead, it would be interesting to see the CGA being applied to more complex analog/high-frequency circuits beyond RF receivers. The authors demonstrate the feasibility of the method in optimizing a receiver, but its potential application in other circuit types could greatly benefit the field. Additionally, future research could explore the combination of CGA with other optimization techniques, further enhancing its efficiency and effectiveness in tuning circuit parameters.

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