Bridging Computational Notions of Depth: Working Towards the Proof of Lemma 3
18 Jan 2025
Here's how we worked towards the proof of Lemma 3.
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?
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.
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.
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.
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.
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.
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
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).