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Bridging Computational Notions of Depth: Variants of Strong Depth

17 Jan 2025

Can we equivalently characterize strong depth by replacing the discrete semimeasures in the definition with continuous semimeasures?

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Bridging Computational Notions of Depth: Here's Why Strong Depth is Negligible

17 Jan 2025

The class of strongly deep sequences is negligible. Here's how we know.

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Bridging Computational Notions of Depth: Members of Deep Classes

16 Jan 2025

Introducing the members of deep classes and proving that they are strongly deep.

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Here's Proof of the Slow Growth Law and Some Unobserved Consequences

16 Jan 2025

In this section, we provide a proof of the slow growth law and provide some hitherto unobserved consequences of the result.

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Bridging Computational Notions of Depth: Turing Functionals, Semimeasures, and More

16 Jan 2025

Here's what you need to know about Turing functionals, semimeasures, and initial segment complexity.

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Bridging Computational Notions of Depth: How We Studied the Relationship

16 Jan 2025

In this article, we study the relationship between notions of depth for sequences.

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SaaS is for Suckers: AI Already Builds Better Custom Software

6 Jan 2025

Today, more companies are realizing that building, once seen as prohibitively expensive, is not just viable—it’s becoming the superior option

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Equivalence Testing: An O(log log n)-query Fully Adaptive Algorithm

9 Dec 2024

Our algorithm can also be modified slightly to obtain a fully adaptive algorithm with sample complexity O˜(log log n).

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Bernstein’s Concentration Inequality In Equivalence Testing

9 Dec 2024

The paper provides Proof of Claim using concentration inequality.