Google’s Colab is a hosted Jupyter Notebook service that requires no setup to use and provides free access to computing resources, including GPUs and TPUs.

Deepnote is a collaboration-oriented data platform, providing a cloud-based workspace for data exploration, collaboration, interactive chart and dashboard creation, and machine learning model development and deployment.

AI Capabilities:
Both platforms offer AI assistance for coding. Both Colab, with Codey, and Deepnote, with its Autonomous AI, boast an advanced AI agent capable of creating SQL, Python, and text blocks, ensuring expected results and self-correction. 

Jupyter Compatibility:
Both platforms are fully compatible with Jupyter, allowing seamless notebook uploading and usage.

Data Connection:
While Colab has amazing integrations with the Google Cloud stack, it is lacking in first class connections with external integrations.  Deepnote excels in integrations, featuring 40+ first class integrations. 

Data Interaction and Visualization:
Both platforms include Notebook SQL blocks with code completion and built-in data frame outputs. They also offer built-in charting solutions and support various Python charting libraries.

Data Publishing:
Both platforms offer reporting and app tools, allowing scheduling, dashboard creation, and interactive dashboarding with fine-grained permission settings.

Collaboration:
Both platforms prioritize collaboration, featuring fine-tuned permissions, collaborative notebooks, multi-user editing, and commenting.

Pricing:
Deepnote offers a free tier, a two-week trial with no credit card requirement, and permanent freemium options. Deepnote's team and enterprise plans combine seat and usage-based pricing.

Colab is usually free, as it requires the usage of other Google Products, however if your usage exceeds their free tier, you can upgrade with more traditional seat based and usage based models.

In Conclusion:
In conclusion, Google Colab and Deepnote present compelling options for data science and collaboration in 2023. Both platforms offer advanced AI assistance, Jupyter compatibility, data interaction and visualization features, data publishing tools, and robust collaboration capabilities.

However, the choice between the two platforms may come down to specific requirements. Google Colab stands out for its seamless integration with the Google Cloud stack and free access to computing resources, making it a strong choice for those closely tied to Google's ecosystem. On the other hand, Deepnote excels in its extensive range of external integrations and flexible pricing, including a free tier and freemium options.

Ultimately, your selection should align with your individual needs, considering factors such as your preferred ecosystem and the depth of external integrations required. Both platforms offer excellent collaborative environments for data science and machine learning workflows.