Distillative.AI

Distillative.AI

Generalizing artificial intelligence one step (function) at a time.

A working-paper series on Higher-Order Function (HOF) cognition.

Working Papers

SEMI-CAPS: First Principles of Perception Architecture

The SEMI-CAPS architecture organizes perception into eight first principles for psychophysical computing: stimulus, encoding, modality, integration, context, attention, prediction, selection.

Psychophysical Validation Frameworks for Cognitive Models

A psychophysical validation framework for cognitive models using signal detection theory, JND, and reaction time to address hallucination and improve LLM robustness.

HOF Cognitive Supertransformation: A Unified Framework

HOF cognitive supertransformation, a unified framework uniting transformers, RAG, fine-tuning, and HOF cognition through multi-agent orchestration, reliability, and security.

RAAFT vs LoRA and Full Fine-Tuning for Reasoning

A comparison of RAAFT against LoRA, full fine-tuning, and static inference across reasoning generalization, temporal adaptability, stability, and long-term efficiency.

Introducing HORA: Higher-Order Rank Adaptation

HORA represents rank as dynamic higher-order functions rather than static low-rank matrices, enabling context-aware, layer-specific fine-tuning of large models.

RAAFT: Rank-Adapted Atomic Function Tokenization

RAAFT combines higher-order rank adaptation with atomic function tokens for dynamic, context-aware, parameter-efficient fine-tuning of large neural networks.

HOF SWIFT Scalable Information Retrieval Explained

How HOF SWIFT attention mechanization decomposes similarity search into modular atomic functions for scalable, hardware-aware retrieval across CPU, GPU, and TPU.

How HOF Cognitive Functional Atomic Recomposition Works

A technical look at Functional Atomic Recomposition (FAR): dynamic retrieval, recursive dependency validation, and Dynamic Assembly Blueprinting for adaptive AGI reasoning.

HOF Cognitive Autonomous End-to-End SaaS Development

Why Cursor, Devin, and Replit fall short on full-stack SaaS, and how HOF Cognitive FAR preserves context, resolves dependencies, and scales multi-agent reasoning.

How HOF Cognition Prevents Token Explosion in o3

How HOF cognitive computing curbs token explosion via abstraction, modular reasoning, and functional composition, unlike the exhaustive reasoning behind o3.

SWIFT Attention Mechanization for HOF Cognitive FAR

SWIFT attention mechanization tackles FAR's hardware bottlenecks by balancing dense and sparse matrices and precompiling higher-order functions across hardware.

Psychophysics for Distributed Vector Representation

HOF cognition applies Weber-Fechner, JND, and Signal Detection Theory to make distributed vector representation more efficient and scalable than o3 reasoning.

From FAD to FAR: Atomic Decomposition to Recomposition

How HOF cognition evolves from Functional Atomic Decomposition (FAD) to Functional Atomic Recomposition (FAR), recomposing atomic units into adaptive higher-order reasoning.

Step-Wise HOF Cognitive Transformation of ML Methods

A step-wise approach to transforming traditional machine learning methods into autonomous HOF cognitive pipelines through functional decomposition, orchestration, and meta-learning.

HOF Adaptive Cognitive Computing (HACC) Explained

HOF Adaptive Cognitive Computers (HACC) learn, adapt, and grow over time. Walk through an agent that optimizes resource allocation, with a Cognitive DSL example.

HOF Cognitive Computing for Segment Anything (SAM)

Applying higher-order function principles to Meta's Segment Anything Model (SAM) for modular pipelines, dynamic adaptation, and parallelism, with PyTorch examples.

Distributed Vector Representation for HOF Cognition

Encoding cognitive atomic function graphs into distributed vector spaces for parallel reasoning, elastic scaling, and fault tolerance beyond centralized o3-style traversal.

Distributed Representer in Rust: A Step-by-Step Guide

Build a distributed representer in Rust with ndarray: text vectorization, a self-attention mechanism, and serializable distributed representations, with full code.

HOF Cognitive Hello World in Every Language via IPO

How a chatbot uses Functional Atomic Decomposition and the Input-Process-Output framework to plan, generate, run, validate, and package Hello World code in every programming language.

HOF Cognition Is All You Need: Generalizing AI by Function Composition

A proposal for Higher-Order Function cognitive computing that generalizes across integration, unsupervised-learning, and context-management challenges by composing reusable higher-order functions rather than scaling transformer self-attention.

HOF Self-Supervised RL with Flash Attention

How Higher-Order Function cognition combines with self-supervised reinforcement learning, Flash Attention, and self-attention by distributed representers to enable more efficient, scalable AI reasoning.

Overcoming Hardware Limits with HOF SWIFT Attention

How HOF cognitive SWIFT attention mechanization uses FlashAttention, sparse attention, low-rank approximation, and mixed precision to scale attention across CPUs, GPUs, and TPUs, with C code examples.

Agentic Development with a Cognitive DSL YAML Interface

A YAML-based cognitive DSL that models an agentic workflow as higher-order functions and atomic functions, with a continuous improvement loop for the Hello World in Every Language project.

Memory Recall as a Higher-Order Function: Selective Recall for Long-Horizon Memory

A framework proposing psychophysical memory recall as a higher-order function that uses Flash Attention and functional atomic decomposition to selectively recall only the relevant memory traces, generalizing to long-horizon tasks without exhaustive context.

RAG Is Almost Enough: HOF Cognitive Memory Mechanization

Why RAG pipelines fall short for AGI, and how modeling memory recall as a Higher-Order Function adds continuous execution, generation, and validation loops.

How HOF Cognition Works: Functional Atomic Decomposition

Functional Atomic Decomposition breaks higher-order cognitive functions into reusable atomic functions, indexed in vector space for dynamic recomposition — generalizing across tasks by recombining reusable atomic functions rather than retraining the whole model.

Psychophysics and HOF Cognition: A Bridge to Human-Like AI

How psychophysics — signal detection theory, Weber's Law, thresholds — informs HOF cognition and machine learning models of decision-making under uncertainty.

Distributed Intermediate Representation: Use Cases

How distributed intermediate representations power ML, AI, and big data — Spark RDDs, TensorFlow graphs, Horovod gradients, MapReduce, and Flink state.

HOF Cognitive Agentic Reliability for LLM Workflows

How Higher-Order Functions add validation gates, retry loops, context management, and multi-agent coordination to keep LLM agent workflows reliable and coherent.

HOF Cognitive Flash Attention in Rust: A Walkthrough

A step-by-step Rust build of a flash-attention mechanizer with HOF cognition and distributed representation, served over hyper and tested with curl requests.

Practical Examples of HOF Cognitive Method Transformation

How HOF cognitive transformation reworks traditional ML methods—decision trees, k-means, gradient boosting—into modular pipelines, with PyTorch and TensorFlow code.

Flash Attention for Distributed Representers

How Flash Attention cuts the quadratic cost and memory bottleneck of transformer self-attention via kernel fusion and block-sparse patterns, aiding distributed representation learning.

Traditional ML Methods Still Matter for AGI

A survey of why classic ML—reinforcement learning, ensembles, Bayesian methods, evolutionary algorithms—stays relevant for AGI, especially through a higher-order function cognitive lens.

Self-Attention Mechanization for HOF Cognition

How self-attention—query, key, value, and softmax weighting—can enhance higher-order function cognition through dynamic contextualization, long-range dependencies, and hierarchy.

The Evolution of HOF Cognition: FP to AGI

Tracing HOF cognition from lambda calculus and LISP through Scheme, ML, and Haskell to cognitive architectures and its proposed role in adaptive, context-aware AGI.

HOF Cognition: A Compositional, Psychophysically-Framed Approach to General Reasoning

How HOF cognition combines functional atomic decomposition, high-dimensional vector indexing, attention, and metacognition to generalize reasoning by recomposing reusable atomic functions rather than scaling a monolithic model.

How Functional Atomic Decomposition Works

Functional atomic decomposition breaks higher-order cognitive functions into reusable atomic functions, indexed in vector space for dynamic recomposition — generalizing across tasks by recombining reusable atomic functions rather than scaling a single model.

Is SML a Real DSL or Just Another Framework?

Evaluating whether SML (Semantic Modeling Language) qualifies as a true DSL—syntax, domain abstractions, boilerplate reduction, independence—for business-intelligence data modeling.