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Laboratorio de muestreo: logits → tokens

Prueba temperature, top-k y top-p en una distribución local reproducible.

Study guide & lesson outlineLEARNING CONTRACT

Understand → implement → investigate

Goal: explain the mechanism in this lesson, reproduce one example and test a failure case. Reading alone does not mark mastery.

01Configurar

02Añadir entrada

Configura los parámetros, carga un ejemplo o pega tus datos.

03Revisar resultados

Configura los parámetros, carga un ejemplo o pega tus datos.

La vista puede estar truncada; el JSON exportado incluye todos los resultados calculados.

Cómo interpretar los resultados

CSV: token,logit; etiquetas únicas no vacías y logits finitos entre −10.000 y 10.000. Se aplica temperatura, luego top-k y top-p, renormalizando tras cada filtro. Temperatura 0 usa selección voraz; los empates siguen el orden de entrada. Las frecuencias proceden de un muestreador con semilla, no de un modelo real. Máximo: 100 candidatos y 10.000 muestras.

Referencias del método

MATHEMATICAL REVIEW · 2026-10-26

Assumptions, implementation & acceptance

Filtering order is temperature, top-k, then top-p and renormalization. Entropy is in bits. Temperature zero is explicitly greedy; stochastic draws depend on the seed.

Reviewed counting units, statistical assumptions and numerical examples. Provider accounting and actual GPU allocation still require external measurement.

Logits / temperature → Top-k → top-p filtering → Renormalize retained probability → Seeded draws → measured frequencies
Mechanism map: follow the transformations from top to bottom.

Before running: predict a boundary case

Filtering order is temperature, top-k, then top-p and renormalization. Entropy is in bits. Temperature zero is explicitly greedy; stochastic draws depend on the seed.

Hint: isolate the assumption

Keep the baseline input fixed, change one parameter or boundary, and compare both the numerical result and the claimed units. A passing example verifies this fixture only.

Minimal executable example

Save the example and linked modules in one folder. Use Node.js 22 or newer, then run node sampling-lab.mjs. npm install gpt-tokenizer@4.1.0

import {encode as rawEncode} from 'gpt-tokenizer/encoding/cl100k_base';
import {promptDiff,inspectDataset,chunkDocument,compareScores,estimateVRAM,samplingLab,speculativeLab} from './research-core.mjs';
const encode=s=>rawEncode(s,{disallowedSpecial:new Set()});
const result=samplingLab('token,logit\na,0\nb,0',1,0,1,10000,42);
console.log(result.entropy); // 1 bit; observed frequencies only approximate 0.5

Test and transfer

Filtering order is temperature, top-k, then top-p and renormalization. Entropy is in bits. Temperature zero is explicitly greedy; stochastic draws depend on the seed.

Record input, code version, expected result and observed result in the notebook below. Then construct a counterexample that violates the assumption above and explain why the original conclusion no longer follows.

Download complete kit (.tar.gz) · Complete reference kit and regression checks

Predict, test and keep evidence

Before revealing an answer, predict one result. After the exercise, record the discrepancy and a transfer test. Saved locally across language editions.

Open notebook / export / clear →

The mathematical review scope is recorded per lesson. It does not establish empirical paper reproduction; report suspected errors in your notes. Review scope