X-Git-Url: https://fleuret.org/cgi-bin/gitweb/gitweb.cgi?a=blobdiff_plain;f=problems.py;h=632c059e41075c314cf8e9a473a6e53ec299aa01;hb=07c40deef359a676eea9b063e8f5f8a2254cad13;hp=22b651795b0501331c69fd24c3ea499779576e48;hpb=0d86d8ca945722438d3c85cd01b3740269ed3546;p=picoclvr.git diff --git a/problems.py b/problems.py index 22b6517..632c059 100755 --- a/problems.py +++ b/problems.py @@ -24,8 +24,6 @@ class Problem: #################### - - class ProblemDegradation(Problem): def __init__(self, nb_state_tokens=5, nb_time_steps=12, value_max=25, hard=False): assert value_max // nb_state_tokens >= 2 @@ -285,9 +283,145 @@ class ProblemAddition(Problem): return "".join(self.id2char[x.item()] for x in seq) +#################### + + +class ProblemMixing(Problem): + def __init__(self, height=4, width=4, nb_time_steps=9, hard=False): + self.height = height + self.width = width + self.nb_time_steps = nb_time_steps + self.hard = hard + + def start_random(self, nb): + y = torch.arange(self.height * self.width).reshape(1, -1).expand(nb, -1) + + # m = (torch.rand(y.size()).sort(dim=-1).indices < y.size(1) // 2).long() + + i = ( + torch.arange(self.height) + .reshape(1, -1, 1) + .expand(nb, self.height, self.width) + ) + j = ( + torch.arange(self.width) + .reshape(1, 1, -1) + .expand(nb, self.height, self.width) + ) + + ri = torch.randint(self.height, (nb,)).reshape(nb, 1, 1) + rj = torch.randint(self.width, (nb,)).reshape(nb, 1, 1) + + m = 1 - torch.logical_or(i == ri, j == rj).long().flatten(1) + + y = (y * m + self.height * self.width * (1 - m)).reshape( + nb, self.height, self.width + ) + + return y + + def start_error(self, x): + i = torch.arange(self.height, device=x.device).reshape(1, -1, 1).expand_as(x) + j = torch.arange(self.width, device=x.device).reshape(1, 1, -1).expand_as(x) + + ri = ( + (x == self.height * self.width).long().sum(dim=-1).argmax(-1).view(-1, 1, 1) + ) + rj = ( + (x == self.height * self.width).long().sum(dim=-2).argmax(-1).view(-1, 1, 1) + ) + + m = 1 - torch.logical_or(i == ri, j == rj).long().flatten(1) + + x = x.flatten(1) + u = torch.arange(self.height * self.width, device=x.device).reshape(1, -1) + + d = (x - (m * u + (1 - m) * self.height * self.width)).abs().sum(-1) + return d + + def moves(self, x): + y = ( + x[:, None, :, :] + .expand(-1, self.height * 2 + self.width * 2, -1, -1) + .clone() + ) + k = 0 + + for i in range(self.height): + y[:, k, i, :] = y[:, k, i, :].roll(dims=-1, shifts=-1) + k += 1 + y[:, k, i, :] = y[:, k, i, :].roll(dims=-1, shifts=1) + k += 1 + + for j in range(self.width): + y[:, k, :, j] = y[:, k, :, j].roll(dims=-1, shifts=-1) + k += 1 + y[:, k, :, j] = y[:, k, :, j].roll(dims=-1, shifts=1) + k += 1 + + return y + + def generate_sequences(self, nb): + x = self.start_random(nb) + + seq = [x.flatten(1)] + + for t in range(self.nb_time_steps - 1): + y = self.moves(x) + x = y[torch.arange(nb), torch.randint(y.size(1), (nb,))] + seq.append(x.flatten(1)) + + if self.hard: + seq.reverse() + + seq = torch.cat(seq, dim=1) + return seq, seq.new_full(seq.size(), 1, dtype=torch.int64) + + def compute_nb_correct(self, input, ar_mask, result): + a = [ + x.reshape(result.size(0), self.height, self.width) + for x in result.split(self.height * self.width, dim=1) + ] + if self.hard: + a.reverse() + + x = a[0] + + d = self.start_error(x) + + for t in range(self.nb_time_steps - 1): + x0, x = a[t], a[t + 1] + y = self.moves(x0) + d = d + (x[:, None] - y).abs().sum((-1, -2)).min(dim=-1).values + + nb_total, nb_correct = result.size(0), (d == 0).long().sum().item() + + return nb_total, nb_correct + + def seq2str(self, seq): + return " | ".join( + [ + " ".join( + [ + "-".join( + [ + f"{x:02d}" if x < self.height * self.width else "**" + for x in s + ] + ) + for s in r.split(self.width) + ] + ) + for r in seq.split(self.height * self.width) + ] + ) + + +#################### + if __name__ == "__main__": - p = ProblemDegradation(hard=False) + p = ProblemMixing() s, m = p.generate_sequences(10000) - for x in s[:100]: + for x in s[:5]: print(p.seq2str(x)) print(p.compute_nb_correct(None, None, s))