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Fast, from-scratch causal-inference estimators for panel/geo experiments (SC, ASC, SDID, DiD, MC-NNM).

Project description

panelkit

Fast, from-scratch causal-inference estimators for panel / geo experiments — written in Rust, exposed to Python.

panelkit reimplements the standard panel causal-inference toolbox on top of its own dependency-free numerical core (no BLAS/LAPACK, no ndarray, no rand), so the whole stack is self-contained, deterministic, and fast. The numerical core (panelkit-linalg) is a standalone crate intended to also back sibling projects (e.g. a future time-series library).

  • Fast: ~45–70× a NumPy+SciPy synthetic control on a single fit, ~1400× on a full placebo test (multithreaded). Details.
  • Self-contained: the numerical core is hand-written — matmul, Cholesky, QR, a one-sided Jacobi SVD, simplex solvers, and a PRNG, with zero numeric deps.
  • Reproducible: all resampling inference is bit-identical regardless of thread count (deterministic per-replicate seed substreams).
  • Modern: correct under staggered adoption (Callaway-Sant'Anna, Sun-Abraham) with a Goodman-Bacon diagnostic, plus a novel conformal-pooled SC family.

Install

pip install panelkit            # once published; until then, build from source:

# from a clone (needs a Rust toolchain — https://rustup.rs — and maturin):
pip install maturin numpy
maturin develop --release --manifest-path crates/pypanelkit/Cargo.toml

Data model — what your data should look like

Every estimator takes a single N × T NumPy array Y: one row per unit (store, region, DMA, country…), one column per time period (week, month…), in chronological order. Y[i, t] is the outcome for unit i at period t. The panel must be balanced (no missing cells) — fill or aggregate gaps before fitting. Treatment timing is passed separately, not encoded in Y.

import numpy as np

#            t=0    t=1    t=2    t=3    t=4    t=5   ...   (periods →)
Y = np.array([
    [102.0, 104.0, 101.0, 130.0, 133.0, 131.0],   # unit 0  ← treated
    [ 98.0,  99.0,  97.0,  98.0, 100.0,  99.0],    # unit 1  (control/donor)
    [201.0, 205.0, 199.0, 204.0, 206.0, 203.0],    # unit 2  (control/donor)
    # ... one row per unit ...
])
# Here T=6 periods; say treatment starts at period 3 (so periods 0–2 are
# "pre", periods 3–5 are "post"). Unit 0 jumps ~+30 post-treatment.

Two ways to declare treatment:

  • Block treatment (SC family, MC-NNM, CP-ASC) — a list of treated unit indices and the first post-treatment column:
    SyntheticControl().fit(Y, treated=[0], treat_time=3)
    
  • Staggered adoption (DiD family) — a per-unit treat_start array giving each unit's first-treated period; -1 (or None) means never-treated:
    # unit 0 treated at t=3, unit 2 at t=4, unit 1 never treated
    CallawaySantAnna().fit(Y, treat_start=[3, -1, 4])
    

Coming from a long/tidy DataFrame (unit, period, outcome rows)? Pivot to the matrix first:

Y = df.pivot(index="unit", columns="period", values="outcome").to_numpy()

Common gotchas: rows must be units and columns periods (not transposed); periods must be in time order; the array is float64 (panelkit copies/converts as needed); and at least a couple of pre-treatment periods are required (more is better — SC/SDID lean on pre-treatment fit).

Estimators at a glance

class method treatment best for
SyntheticControl Abadie et al. 2010 block one/few treated units, transparent weights
AugmentedSC Ben-Michael et al. 2021 block poor pre-fit (ridge bias correction)
SyntheticDiD Arkhangelsky et al. 2021 block robust general default
MCNNM Athey et al. 2021 block low-rank structure, many treated cells
CPASC novel (this project) block, multi-treated conservative pooled inference, cumulative $ lift
TWFE two-way FE staggered baseline (biased under heterogeneity)
CallawaySantAnna Callaway-Sant'Anna 2021 staggered staggered adoption, event study
SunAbraham Sun-Abraham 2021 staggered staggered event study (saturated)
GoodmanBacon Goodman-Bacon 2021 staggered diagnostic: why TWFE is biased

Examples

Synthetic Control (+ placebo inference)

import numpy as np
from panelkit import SyntheticControl

# Y: 50 units × 60 periods; unit 0 treated from period 45.
res = SyntheticControl(inference="placebo").fit(Y, treated=[0], treat_time=45)

res.att                 # average post-treatment effect
res.att_path            # per-period effects (length T_post)
res.counterfactual      # synthetic control's predicted path
res.weights             # donor weights (on the simplex)
res.donor_ids           # which units those weights correspond to
res.p_value             # in-space placebo p-value
print(res.summary())

Synthetic DiD — the robust default

from panelkit import SyntheticDiD

res = SyntheticDiD().fit(Y, treated=[0], treat_time=45)
print(res.att)          # unit + time weighted 2×2 DiD

Augmented SC and MC-NNM

from panelkit import AugmentedSC, MCNNM

AugmentedSC().fit(Y, treated=[0], treat_time=45).att          # ridge-corrected SC
MCNNM().fit(Y, treated=[0], treat_time=45).att                # low-rank completion, λ by CV

CP-ASC — conformal pooled SC (multiple treated units)

from panelkit import CPASC

treated = [0, 1, 2, 3, 4, 5]
res = CPASC(mode="mspe").fit(Y, treated, treat_time=22)   # CP-ASC
res.att                 # empirical-Bayes pooled ATT
res.p_value             # conformal block-permutation p-value
res.unit_att            # per-unit effects
res.unit_weight         # inverse-MSPE pooling weights

CPASC(mode="stratified").fit(Y, treated, 22)   # Strat-CP-ASC (size-robust)
CPASC(mode="cumulative").fit(Y, treated, 22)   # C-AS-CP-ASC (total-dollar target)

Difference-in-differences with staggered adoption

from panelkit import TWFE, CallawaySantAnna, SunAbraham, GoodmanBacon

# treat_start[i] = first treated period for unit i, or -1 if never treated.
cs = CallawaySantAnna().fit(Y, treat_start)
cs.att                  # overall ATT (cohort-size weighted)
cs.event_time           # relative event times, e.g. [-5,...,-1, 0, 1,...]
cs.event_att            # event-study coefficients (clean pre-trends + dynamics)
cs.event_se             # influence-function standard errors
print(cs.summary())

sa = SunAbraham().fit(Y, treat_start)           # interaction-weighted event study
twfe = TWFE().fit(Y, treat_start)               # baseline; biased under heterogeneity

# Goodman-Bacon: why TWFE is biased — decompose it into 2×2 comparisons.
bacon = GoodmanBacon().fit(Y, treat_start)
bacon.twfe              # == TWFE coefficient (Σ weightᵢ · estimateᵢ)
bacon.forbidden_weight  # weight on "already-treated as control" comparisons
print(bacon.summary())

Runnable scripts live in examples/: sc_demo.py, did_demo.py, cpasc_demo.py. See GUIDE.md for the estimand, assumptions, and valid inference for each estimator.

Inference

engine use determinism
placebo / permutation (in-space) SC family, small N treated order-independent
jackknife (leave-one-out) SDID, N treated ≥ 2 order-independent
multiplier (wild) bootstrap C&S / SA influence functions seeded substreams
conformal block permutation CP-ASC, single-unit counterfactuals order-independent

All bootstrap/permutation engines produce bit-identical results regardless of RAYON_NUM_THREADS, because replicate b always draws from Xoshiro256pp::substream(seed, b). Verified in CI at 1 and 8 threads.

Performance

From-scratch Rust + multithreaded inference vs the textbook NumPy + SciPy-SLSQP synthetic control. Numbers below are measured live by benchmarks/make_plots.py (median over 5 panels per size, Apple M4 Pro; absolute times vary by hardware — re-run to regenerate).

A single synthetic-control fit, across donor-pool sizes (log scale):

SC fit time vs panel size

The per-fit win compounds under inference — a full in-space placebo test runs one fit per donor (here 200), multithreaded:

panelkit vs reference wall-clock

The constrained-weight estimators (SC, ASC, SDID) all beat the SLSQP reference — SDID most of all, since it solves two constrained weight problems per fit:

per-fit time by estimator

task (200 × 130 panel) panelkit NumPy + SciPy-SLSQP speedup
single SC fit ~2.0 ms ~125 ms ~60×
single ASC fit ~2.7 ms ~127 ms ~46×
single SDID fit ~11 ms ~1576 ms ~139×
full placebo (200 fits) ~0.056 s ~82 s ~1467×

Estimates are identical (ATT |Δ| ≈ 1e-11; same placebo p-value) — this is pure implementation speed, not an approximation. panelkit is also far steadier: SciPy SLSQP has occasional convergence cliffs on near-collinear donor panels (one took 9.5 s in testing), which is why the table reports the median typical case.

The honest exception — MC-NNM. Matrix completion's bottleneck is the SVD, and there our hand-written one-sided Jacobi SVD is ~20× slower than NumPy's np.linalg.svd (≈112 ms vs ≈5 ms per fit at N=200). NumPy calls LAPACK — decades of hand-tuned, vendor-optimized assembly that a from-scratch SVD won't beat. We keep MC-NNM self-contained rather than fast; if you need it at scale, a LAPACK-backed SVD is the lever. See BENCHMARKS.md.

How the speed happens — Frank–Wolfe vs SLSQP, in plain English

Synthetic control picks donor weights that (a) are non-negative and (b) sum to 1 — a simplex-constrained least-squares problem. Two ways to solve it:

  • SLSQP (what the SciPy reference uses) is a general-purpose constrained optimizer: it handles arbitrary nonlinear objectives and constraints by repeatedly solving quadratic sub-problems and doing line searches. Powerful and general — but it pays for that generality with overhead, and it can stall (those convergence cliffs) when the donor columns are nearly collinear.

  • Frank–Wolfe (what panelkit uses) is purpose-built for exactly this shape. Each step it asks one cheap question — "which single donor most improves the fit right now?" — moves toward that donor, and (in our away-step variant) can also pull weight off a donor that's hurting. No matrix inverses, no general constraint machinery; every step stays on the simplex by construction.

    • Pros: very fast per step, naturally produces sparse interpretable weights, no convergence cliffs, and the same routine powers SC, ASC, and both of SDID's weight problems.
      • Cons: it's specialized — it only solves this convex constrained shape, not arbitrary optimization. (For the one problem that isn't this shape — MC-NNM's SVD — we don't have a tuned-assembly equivalent, hence the exception above.)

That trade — a specialized solver where the problem is regular, honest about the one place a general tuned library wins — is the whole performance story.

Monte Carlo, power analysis & robustness sweeps

Running an estimator across thousands of simulated panels is the common heavy workload (power curves, robustness checks). fit_many does the whole loop in Rust across all cores — far faster than a Python for loop calling .fit():

import numpy as np
from panelkit import SyntheticControl

# stack of R simulated panels, shape (R, N, T)
stack = np.stack([simulate_panel(tau=1.0) for _ in range(2000)])
atts = SyntheticControl().fit_many(stack, treated=[0], treat_time=45)  # (2000,) ATTs
power = np.mean(np.abs(atts) > crit)        # ← one cell of a power curve

~2000 SC fits in ~0.05 s here; a full 5-point power curve (12k fits) in ~3.6 s. See examples/power_demo.py. More efficiency levers for large runs are listed in BENCHMARKS.md.

Architecture

A four-crate Cargo workspace with a strict dependency DAG:

linalg  ←  estimators  ←  inference  ←  pypanelkit (PyO3 bindings)

Only pypanelkit touches Python; linalg depends on nothing but std.

crate role
panelkit-linalg Mat, GEMM/QR/Cholesky, one-sided Jacobi SVD, simplex solvers, SVT, RNG
panelkit-estimators the estimators above, as functions of a Panel
panelkit-inference resampling engines
pypanelkit the panelkit._panelkit extension module

Development

cargo test --workspace                       # Rust tests (incl. SVD cross-oracle)
cargo clippy --workspace --all-targets -- -D warnings
cargo fmt --all -- --check
maturin develop --release --manifest-path crates/pypanelkit/Cargo.toml
pytest python/tests
cargo bench -p panelkit-estimators           # criterion micro-benchmarks

License

MIT OR Apache-2.0.

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