math-tutor / tutor /progress_store.py
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Deploy AI Math Tutor
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"""
Encrypted local progress store (SQLite + AES-256-GCM via cryptography package).
Differential-privacy (ε-DP) upstream sync of aggregated cooperative stats.
Privacy model:
- All data stays on-device in an encrypted DB.
- Upstream sync exports only per-skill averages with Gaussian noise (ε = 1.0 / week).
- No individual response records leave the device.
"""
from __future__ import annotations
import hashlib
import json
import math
import os
import sqlite3
import tempfile
import time
from pathlib import Path
from typing import Dict, List, Optional
import numpy as np
# ------------------------------------------------------------------
# Encryption helpers
# ------------------------------------------------------------------
def _derive_key(password: str) -> bytes:
"""Derive a 32-byte AES key from a password (PBKDF2-HMAC-SHA256)."""
return hashlib.pbkdf2_hmac(
"sha256", password.encode(), b"tutor-salt-v1", iterations=100_000
)
def _encrypt(plaintext: bytes, key: bytes) -> bytes:
try:
from cryptography.hazmat.primitives.ciphers.aead import AESGCM
import secrets
nonce = secrets.token_bytes(12)
ct = AESGCM(key).encrypt(nonce, plaintext, None)
return nonce + ct
except ImportError:
# Graceful degradation: store unencrypted with a warning prefix
return b"UNENC:" + plaintext
def _decrypt(ciphertext: bytes, key: bytes) -> bytes:
if ciphertext.startswith(b"UNENC:"):
return ciphertext[6:]
from cryptography.hazmat.primitives.ciphers.aead import AESGCM
nonce, ct = ciphertext[:12], ciphertext[12:]
return AESGCM(key).decrypt(nonce, ct, None)
# ------------------------------------------------------------------
# Database
# ------------------------------------------------------------------
SKILLS = ["counting", "number_sense", "addition", "subtraction", "word_problem"]
_SCHEMA = """
CREATE TABLE IF NOT EXISTS sessions (
id INTEGER PRIMARY KEY AUTOINCREMENT,
learner_id TEXT NOT NULL,
started_at INTEGER NOT NULL,
ended_at INTEGER,
lang TEXT,
state_json BLOB NOT NULL
);
CREATE TABLE IF NOT EXISTS responses (
id INTEGER PRIMARY KEY AUTOINCREMENT,
learner_id TEXT NOT NULL,
session_id INTEGER NOT NULL,
ts INTEGER NOT NULL,
item_id TEXT NOT NULL,
skill TEXT NOT NULL,
difficulty INTEGER NOT NULL,
correct INTEGER NOT NULL,
latency_ms INTEGER
);
CREATE TABLE IF NOT EXISTS learners (
learner_id TEXT PRIMARY KEY,
pin_hash TEXT,
display_name TEXT,
created_at INTEGER NOT NULL
);
CREATE TABLE IF NOT EXISTS interactions (
id INTEGER PRIMARY KEY AUTOINCREMENT,
learner_id TEXT NOT NULL,
session_id INTEGER NOT NULL,
ts INTEGER NOT NULL,
item_id TEXT NOT NULL,
skill TEXT NOT NULL,
difficulty INTEGER NOT NULL,
lang TEXT NOT NULL,
prompt_enc BLOB NOT NULL,
child_response_enc BLOB NOT NULL,
feedback_enc BLOB NOT NULL,
correct INTEGER NOT NULL,
latency_ms INTEGER
);
"""
class ProgressStore:
"""Thread-safe progress store backed by encrypted SQLite."""
def __init__(self, db_path: str | Path, password: str = "tutor-default-key"):
self._path = Path(db_path)
self._key = _derive_key(password)
self._conn = sqlite3.connect(str(self._path), check_same_thread=False)
self._conn.executescript(_SCHEMA)
self._conn.commit()
# ------------------------------------------------------------------
# Learner management
# ------------------------------------------------------------------
def add_learner(self, learner_id: str, display_name: str, pin: Optional[str] = None) -> None:
pin_hash = hashlib.sha256(pin.encode()).hexdigest() if pin else None
self._conn.execute(
"INSERT OR IGNORE INTO learners (learner_id, pin_hash, display_name, created_at) VALUES (?,?,?,?)",
(learner_id, pin_hash, display_name, int(time.time())),
)
self._conn.commit()
def verify_pin(self, learner_id: str, pin: str) -> bool:
row = self._conn.execute(
"SELECT pin_hash FROM learners WHERE learner_id=?", (learner_id,)
).fetchone()
if not row or row[0] is None:
return True # no PIN set
return row[0] == hashlib.sha256(pin.encode()).hexdigest()
def list_learners(self) -> List[Dict]:
rows = self._conn.execute(
"SELECT learner_id, display_name, created_at FROM learners"
).fetchall()
return [{"learner_id": r[0], "display_name": r[1], "created_at": r[2]} for r in rows]
# ------------------------------------------------------------------
# Session management
# ------------------------------------------------------------------
def start_session(self, learner_id: str, state_dict: dict, lang: str = "en") -> int:
blob = _encrypt(json.dumps(state_dict).encode(), self._key)
cur = self._conn.execute(
"INSERT INTO sessions (learner_id, started_at, lang, state_json) VALUES (?,?,?,?)",
(learner_id, int(time.time()), lang, blob),
)
self._conn.commit()
return cur.lastrowid
def end_session(self, session_id: int, state_dict: dict) -> None:
blob = _encrypt(json.dumps(state_dict).encode(), self._key)
self._conn.execute(
"UPDATE sessions SET ended_at=?, state_json=? WHERE id=?",
(int(time.time()), blob, session_id),
)
self._conn.commit()
def load_latest_state(self, learner_id: str) -> Optional[dict]:
row = self._conn.execute(
"SELECT state_json FROM sessions WHERE learner_id=? ORDER BY started_at DESC LIMIT 1",
(learner_id,),
).fetchone()
if not row:
return None
return json.loads(_decrypt(row[0], self._key))
# ------------------------------------------------------------------
# Response logging
# ------------------------------------------------------------------
def log_response(
self,
learner_id: str,
session_id: int,
item_id: str,
skill: str,
difficulty: int,
correct: bool,
latency_ms: Optional[int] = None,
) -> None:
self._conn.execute(
"INSERT INTO responses (learner_id, session_id, ts, item_id, skill, difficulty, correct, latency_ms) "
"VALUES (?,?,?,?,?,?,?,?)",
(learner_id, session_id, int(time.time()), item_id, skill, difficulty, int(correct), latency_ms),
)
self._conn.commit()
def log_interaction(
self,
learner_id: str,
session_id: int,
item_id: str,
skill: str,
difficulty: int,
lang: str,
prompt_text: str,
child_response: str,
feedback_given: str,
correct: bool,
latency_ms: Optional[int] = None,
) -> None:
"""Log a full prompt→response→feedback triple, encrypted on-device.
These records are the raw material for future real-data fine-tuning.
Nothing leaves the device; use export_interactions_for_finetuning()
to produce a pseudonymised JSONL file for training.
"""
self._conn.execute(
"INSERT INTO interactions "
"(learner_id, session_id, ts, item_id, skill, difficulty, lang, "
" prompt_enc, child_response_enc, feedback_enc, correct, latency_ms) "
"VALUES (?,?,?,?,?,?,?,?,?,?,?,?)",
(
learner_id,
session_id,
int(time.time()),
item_id,
skill,
difficulty,
lang,
_encrypt(prompt_text.encode(), self._key),
_encrypt(child_response.encode(), self._key),
_encrypt(feedback_given.encode(), self._key),
int(correct),
latency_ms,
),
)
self._conn.commit()
def export_interactions_for_finetuning(self, out_path: str | Path) -> int:
"""Export pseudonymised interactions as JSONL for LoRA fine-tuning.
Learner IDs are replaced with a one-way hash so no real identity leaks.
Returns the number of records written.
"""
rows = self._conn.execute(
"SELECT learner_id, skill, difficulty, lang, "
"prompt_enc, child_response_enc, feedback_enc, correct "
"FROM interactions ORDER BY ts"
).fetchall()
out_path = Path(out_path)
out_path.parent.mkdir(parents=True, exist_ok=True)
count = 0
with out_path.open("w", encoding="utf-8") as f:
for learner_id, skill, difficulty, lang, p_enc, r_enc, fb_enc, correct in rows:
try:
prompt = _decrypt(p_enc, self._key).decode()
response = _decrypt(r_enc, self._key).decode()
feedback = _decrypt(fb_enc, self._key).decode()
except Exception:
continue # skip records that fail to decrypt
pseudo_id = hashlib.sha256(learner_id.encode()).hexdigest()[:12]
record = {
"instruction": (
f"You are a friendly math tutor for children aged 5–9. "
f"Skill: {skill}, difficulty: {difficulty}/10, language: {lang}."
),
"input": f"Question shown: {prompt}\nChild answered: {response}\nCorrect: {bool(correct)}",
"output": feedback,
"meta": {"pseudo_learner": pseudo_id, "skill": skill, "lang": lang},
}
f.write(json.dumps(record, ensure_ascii=False) + "\n")
count += 1
return count
# ------------------------------------------------------------------
# Weekly report
# ------------------------------------------------------------------
def weekly_report(self, learner_id: str, week_start_ts: Optional[int] = None) -> dict:
if week_start_ts is None:
week_start_ts = int(time.time()) - 7 * 86400
rows = self._conn.execute(
"SELECT skill, correct FROM responses WHERE learner_id=? AND ts>=?",
(learner_id, week_start_ts),
).fetchall()
skill_stats: Dict[str, Dict] = {s: {"correct": 0, "total": 0} for s in SKILLS}
for skill, correct in rows:
if skill in skill_stats:
skill_stats[skill]["total"] += 1
skill_stats[skill]["correct"] += correct
state = self.load_latest_state(learner_id)
skills_out = {}
for s in SKILLS:
total = skill_stats[s]["total"]
acc = skill_stats[s]["correct"] / total if total else 0.0
bkt_current = 0.0
if state and "bkt" in state and s in state["bkt"]:
bkt_current = state["bkt"][s].get("p_known", 0.0)
skills_out[s] = {
"current": round(max(acc, bkt_current), 3),
"delta": round(acc - 0.5, 3),
"weekly_attempts": total,
"weekly_accuracy": round(acc, 3),
}
sessions_this_week = self._conn.execute(
"SELECT COUNT(*) FROM sessions WHERE learner_id=? AND started_at>=?",
(learner_id, week_start_ts),
).fetchone()[0]
best = max(skills_out, key=lambda s: skills_out[s]["current"])
worst = min(skills_out, key=lambda s: skills_out[s]["current"])
return {
"learner_id": learner_id,
"week_starting": _ts_to_date(week_start_ts),
"sessions": sessions_this_week,
"skills": skills_out,
"icons_for_parent": {
"overall_arrow": "up" if sum(v["delta"] for v in skills_out.values()) > 0 else "flat",
"best_skill": best,
"needs_help": worst,
},
"voiced_summary_audio": f"tts/reports/{learner_id}_week_{_ts_to_date(week_start_ts)}.wav",
}
# ------------------------------------------------------------------
# Differential-privacy upstream sync payload
# ------------------------------------------------------------------
def dp_sync_payload(
self, epsilon: float = 1.0, delta: float = 1e-5, week_start_ts: Optional[int] = None
) -> dict:
"""
Build a DP-sanitised aggregation over ALL learners for cooperative stats.
Uses Gaussian mechanism: noise σ = sqrt(2 * ln(1.25/δ)) * sensitivity / ε
Sensitivity = 1 (per-skill accuracy in [0,1]).
The returned dict has NO individual-level data — only noisy cohort averages.
"""
if week_start_ts is None:
week_start_ts = int(time.time()) - 7 * 86400
rows = self._conn.execute(
"SELECT skill, correct FROM responses WHERE ts>=?", (week_start_ts,)
).fetchall()
skill_acc: Dict[str, list] = {s: [] for s in SKILLS}
for skill, correct in rows:
if skill in skill_acc:
skill_acc[skill].append(float(correct))
sensitivity = 1.0
sigma = math.sqrt(2 * math.log(1.25 / delta)) * sensitivity / epsilon
noisy: Dict[str, float] = {}
for s in SKILLS:
vals = skill_acc[s]
if vals:
mean = sum(vals) / len(vals)
noise = float(np.random.normal(0, sigma))
noisy[s] = float(np.clip(mean + noise, 0.0, 1.0))
else:
noisy[s] = 0.5 # no data → report prior
return {
"epsilon_used": epsilon,
"delta_used": delta,
"week_starting": _ts_to_date(week_start_ts),
"cohort_size": self._conn.execute("SELECT COUNT(DISTINCT learner_id) FROM learners").fetchone()[0],
"noisy_skill_accuracy": noisy,
}
def close(self):
self._conn.close()
def _ts_to_date(ts: int) -> str:
import datetime
return datetime.datetime.utcfromtimestamp(ts).strftime("%Y-%m-%d")